9.597 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 3.429 * * * [progress]: [2/2] Setting up program. 3.435 * [progress]: [Phase 2 of 3] Improving. 3.435 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3.437 * * [simplify]: iteration 0 : 30 enodes (cost 19 ) 3.437 * * [simplify]: iteration 1 : 30 enodes (cost 19 ) 3.438 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R) 3.444 * * [progress]: iteration 1 / 4 3.444 * * * [progress]: picking best candidate 3.455 * * * * [pick]: Picked # 3.455 * * * [progress]: localizing error 3.485 * * * [progress]: generating rewritten candidates 3.485 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 3.489 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.490 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.493 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 3.499 * * * [progress]: generating series expansions 3.499 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 3.499 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 3.499 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.499 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 3.499 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.499 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.499 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.499 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.499 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.499 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.499 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.499 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.499 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.499 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.500 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.500 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.500 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.501 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 3.501 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 3.501 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.501 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.501 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 3.501 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 3.501 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.501 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.501 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.501 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.502 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.502 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.502 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.502 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.502 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.502 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.502 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.502 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.502 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.502 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.502 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.502 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.502 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.502 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.502 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.502 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.502 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.502 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.503 * [taylor]: Taking taylor expansion of 0 in lambda2 3.503 * [taylor]: Taking taylor expansion of 0 in lambda2 3.503 * [taylor]: Taking taylor expansion of 0 in lambda2 3.503 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.503 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.503 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.503 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.503 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.503 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.503 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.503 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.503 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.503 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.503 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.503 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.503 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.503 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.503 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.503 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.503 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.503 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.503 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.503 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.503 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.504 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.504 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.504 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.504 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.504 * [taylor]: Taking taylor expansion of 0 in lambda2 3.504 * [taylor]: Taking taylor expansion of 0 in lambda2 3.504 * [taylor]: Taking taylor expansion of 0 in lambda2 3.504 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.504 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.504 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.505 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.505 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.506 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.506 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.506 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.506 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.506 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.506 * [taylor]: Taking taylor expansion of 0 in phi2 3.506 * [taylor]: Taking taylor expansion of 0 in lambda1 3.507 * [taylor]: Taking taylor expansion of 0 in lambda2 3.507 * [taylor]: Taking taylor expansion of 0 in lambda1 3.507 * [taylor]: Taking taylor expansion of 0 in lambda2 3.507 * [taylor]: Taking taylor expansion of 0 in lambda2 3.507 * [taylor]: Taking taylor expansion of 0 in phi2 3.507 * [taylor]: Taking taylor expansion of 0 in lambda1 3.507 * [taylor]: Taking taylor expansion of 0 in lambda2 3.507 * [taylor]: Taking taylor expansion of 0 in lambda1 3.507 * [taylor]: Taking taylor expansion of 0 in lambda2 3.507 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.507 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.507 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.508 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.508 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.508 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.508 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.508 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.509 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.509 * [taylor]: Taking taylor expansion of 0 in phi2 3.509 * [taylor]: Taking taylor expansion of 0 in lambda1 3.509 * [taylor]: Taking taylor expansion of 0 in lambda2 3.509 * [taylor]: Taking taylor expansion of 0 in lambda1 3.509 * [taylor]: Taking taylor expansion of 0 in lambda2 3.509 * [taylor]: Taking taylor expansion of 0 in lambda2 3.509 * [taylor]: Taking taylor expansion of 0 in phi2 3.509 * [taylor]: Taking taylor expansion of 0 in lambda1 3.509 * [taylor]: Taking taylor expansion of 0 in lambda2 3.509 * [taylor]: Taking taylor expansion of 0 in lambda1 3.509 * [taylor]: Taking taylor expansion of 0 in lambda2 3.510 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.512 * [taylor]: Taking taylor expansion of 0 in phi2 3.512 * [taylor]: Taking taylor expansion of 0 in lambda1 3.512 * [taylor]: Taking taylor expansion of 0 in lambda2 3.512 * [taylor]: Taking taylor expansion of 0 in lambda1 3.512 * [taylor]: Taking taylor expansion of 0 in lambda2 3.512 * [taylor]: Taking taylor expansion of 0 in lambda2 3.512 * [taylor]: Taking taylor expansion of 0 in phi2 3.512 * [taylor]: Taking taylor expansion of 0 in lambda1 3.512 * [taylor]: Taking taylor expansion of 0 in lambda2 3.512 * [taylor]: Taking taylor expansion of 0 in lambda1 3.512 * [taylor]: Taking taylor expansion of 0 in lambda2 3.512 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.513 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.513 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.513 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.513 * [taylor]: Taking taylor expansion of R in R 3.513 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.513 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.513 * [taylor]: Taking taylor expansion of R in lambda2 3.513 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.513 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.513 * [taylor]: Taking taylor expansion of R in lambda1 3.513 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.513 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.513 * [taylor]: Taking taylor expansion of R in phi2 3.513 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.513 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.513 * [taylor]: Taking taylor expansion of R in phi1 3.513 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.513 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.514 * [taylor]: Taking taylor expansion of R in phi1 3.514 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.514 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.514 * [taylor]: Taking taylor expansion of R in phi2 3.514 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.514 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.514 * [taylor]: Taking taylor expansion of R in lambda1 3.514 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.514 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.514 * [taylor]: Taking taylor expansion of R in lambda2 3.515 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.515 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.515 * [taylor]: Taking taylor expansion of R in R 3.515 * [taylor]: Taking taylor expansion of 0 in phi2 3.515 * [taylor]: Taking taylor expansion of 0 in lambda1 3.515 * [taylor]: Taking taylor expansion of 0 in lambda2 3.515 * [taylor]: Taking taylor expansion of 0 in R 3.515 * [taylor]: Taking taylor expansion of 0 in lambda1 3.515 * [taylor]: Taking taylor expansion of 0 in lambda2 3.515 * [taylor]: Taking taylor expansion of 0 in R 3.516 * [taylor]: Taking taylor expansion of 0 in lambda2 3.516 * [taylor]: Taking taylor expansion of 0 in R 3.516 * [taylor]: Taking taylor expansion of 0 in R 3.516 * [taylor]: Taking taylor expansion of 0 in phi2 3.516 * [taylor]: Taking taylor expansion of 0 in lambda1 3.516 * [taylor]: Taking taylor expansion of 0 in lambda2 3.516 * [taylor]: Taking taylor expansion of 0 in R 3.516 * [taylor]: Taking taylor expansion of 0 in lambda1 3.517 * [taylor]: Taking taylor expansion of 0 in lambda2 3.517 * [taylor]: Taking taylor expansion of 0 in R 3.517 * [taylor]: Taking taylor expansion of 0 in lambda1 3.517 * [taylor]: Taking taylor expansion of 0 in lambda2 3.517 * [taylor]: Taking taylor expansion of 0 in R 3.517 * [taylor]: Taking taylor expansion of 0 in lambda2 3.517 * [taylor]: Taking taylor expansion of 0 in R 3.517 * [taylor]: Taking taylor expansion of 0 in lambda2 3.517 * [taylor]: Taking taylor expansion of 0 in R 3.517 * [taylor]: Taking taylor expansion of 0 in lambda2 3.517 * [taylor]: Taking taylor expansion of 0 in R 3.517 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.518 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 3.518 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.518 * [taylor]: Taking taylor expansion of R in R 3.518 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 3.518 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.518 * [taylor]: Taking taylor expansion of R in lambda2 3.518 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 3.518 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.519 * [taylor]: Taking taylor expansion of R in lambda1 3.519 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 3.519 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.519 * [taylor]: Taking taylor expansion of R in phi2 3.519 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 3.519 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.519 * [taylor]: Taking taylor expansion of R in phi1 3.520 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 3.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.520 * [taylor]: Taking taylor expansion of R in phi1 3.520 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 3.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.520 * [taylor]: Taking taylor expansion of R in phi2 3.521 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 3.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.521 * [taylor]: Taking taylor expansion of R in lambda1 3.521 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 3.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.521 * [taylor]: Taking taylor expansion of R in lambda2 3.521 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 3.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.522 * [taylor]: Taking taylor expansion of R in R 3.522 * [taylor]: Taking taylor expansion of 0 in phi2 3.522 * [taylor]: Taking taylor expansion of 0 in lambda1 3.522 * [taylor]: Taking taylor expansion of 0 in lambda2 3.522 * [taylor]: Taking taylor expansion of 0 in R 3.523 * [taylor]: Taking taylor expansion of 0 in lambda1 3.523 * [taylor]: Taking taylor expansion of 0 in lambda2 3.523 * [taylor]: Taking taylor expansion of 0 in R 3.523 * [taylor]: Taking taylor expansion of 0 in lambda2 3.523 * [taylor]: Taking taylor expansion of 0 in R 3.523 * [taylor]: Taking taylor expansion of 0 in R 3.524 * [taylor]: Taking taylor expansion of 0 in phi2 3.524 * [taylor]: Taking taylor expansion of 0 in lambda1 3.524 * [taylor]: Taking taylor expansion of 0 in lambda2 3.524 * [taylor]: Taking taylor expansion of 0 in R 3.524 * [taylor]: Taking taylor expansion of 0 in lambda1 3.524 * [taylor]: Taking taylor expansion of 0 in lambda2 3.524 * [taylor]: Taking taylor expansion of 0 in R 3.524 * [taylor]: Taking taylor expansion of 0 in lambda1 3.524 * [taylor]: Taking taylor expansion of 0 in lambda2 3.524 * [taylor]: Taking taylor expansion of 0 in R 3.524 * [taylor]: Taking taylor expansion of 0 in lambda2 3.524 * [taylor]: Taking taylor expansion of 0 in R 3.524 * [taylor]: Taking taylor expansion of 0 in lambda2 3.524 * [taylor]: Taking taylor expansion of 0 in R 3.525 * [taylor]: Taking taylor expansion of 0 in lambda2 3.525 * [taylor]: Taking taylor expansion of 0 in R 3.525 * [taylor]: Taking taylor expansion of 0 in R 3.525 * [taylor]: Taking taylor expansion of 0 in R 3.525 * [taylor]: Taking taylor expansion of 0 in R 3.525 * [taylor]: Taking taylor expansion of 0 in R 3.526 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.526 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 3.526 * [taylor]: Taking taylor expansion of -1 in R 3.526 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 3.526 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.526 * [taylor]: Taking taylor expansion of R in R 3.527 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 3.527 * [taylor]: Taking taylor expansion of -1 in lambda2 3.527 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 3.527 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.527 * [taylor]: Taking taylor expansion of R in lambda2 3.527 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 3.527 * [taylor]: Taking taylor expansion of -1 in lambda1 3.527 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 3.527 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.527 * [taylor]: Taking taylor expansion of R in lambda1 3.528 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 3.528 * [taylor]: Taking taylor expansion of -1 in phi2 3.528 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 3.528 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.528 * [taylor]: Taking taylor expansion of R in phi2 3.528 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 3.528 * [taylor]: Taking taylor expansion of -1 in phi1 3.528 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 3.528 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.528 * [taylor]: Taking taylor expansion of R in phi1 3.528 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 3.529 * [taylor]: Taking taylor expansion of -1 in phi1 3.529 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 3.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.529 * [taylor]: Taking taylor expansion of R in phi1 3.529 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 3.529 * [taylor]: Taking taylor expansion of -1 in phi2 3.529 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 3.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.529 * [taylor]: Taking taylor expansion of R in phi2 3.530 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 3.530 * [taylor]: Taking taylor expansion of -1 in lambda1 3.530 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 3.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.530 * [taylor]: Taking taylor expansion of R in lambda1 3.531 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 3.531 * [taylor]: Taking taylor expansion of -1 in lambda2 3.531 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 3.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.531 * [taylor]: Taking taylor expansion of R in lambda2 3.531 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 3.531 * [taylor]: Taking taylor expansion of -1 in R 3.531 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 3.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.532 * [taylor]: Taking taylor expansion of R in R 3.533 * [taylor]: Taking taylor expansion of 0 in phi2 3.533 * [taylor]: Taking taylor expansion of 0 in lambda1 3.533 * [taylor]: Taking taylor expansion of 0 in lambda2 3.533 * [taylor]: Taking taylor expansion of 0 in R 3.533 * [taylor]: Taking taylor expansion of 0 in lambda1 3.533 * [taylor]: Taking taylor expansion of 0 in lambda2 3.533 * [taylor]: Taking taylor expansion of 0 in R 3.534 * [taylor]: Taking taylor expansion of 0 in lambda2 3.534 * [taylor]: Taking taylor expansion of 0 in R 3.534 * [taylor]: Taking taylor expansion of 0 in R 3.535 * [taylor]: Taking taylor expansion of 0 in phi2 3.535 * [taylor]: Taking taylor expansion of 0 in lambda1 3.535 * [taylor]: Taking taylor expansion of 0 in lambda2 3.535 * [taylor]: Taking taylor expansion of 0 in R 3.535 * [taylor]: Taking taylor expansion of 0 in lambda1 3.535 * [taylor]: Taking taylor expansion of 0 in lambda2 3.535 * [taylor]: Taking taylor expansion of 0 in R 3.536 * [taylor]: Taking taylor expansion of 0 in lambda1 3.536 * [taylor]: Taking taylor expansion of 0 in lambda2 3.536 * [taylor]: Taking taylor expansion of 0 in R 3.536 * [taylor]: Taking taylor expansion of 0 in lambda2 3.536 * [taylor]: Taking taylor expansion of 0 in R 3.536 * [taylor]: Taking taylor expansion of 0 in lambda2 3.536 * [taylor]: Taking taylor expansion of 0 in R 3.536 * [taylor]: Taking taylor expansion of 0 in lambda2 3.536 * [taylor]: Taking taylor expansion of 0 in R 3.536 * [taylor]: Taking taylor expansion of 0 in R 3.536 * [taylor]: Taking taylor expansion of 0 in R 3.536 * [taylor]: Taking taylor expansion of 0 in R 3.537 * [taylor]: Taking taylor expansion of 0 in R 3.538 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 3.538 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.538 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.538 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.538 * [taylor]: Taking taylor expansion of phi1 in phi2 3.538 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.538 * [taylor]: Taking taylor expansion of phi2 in phi2 3.538 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.538 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.538 * [taylor]: Taking taylor expansion of phi1 in phi1 3.538 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.538 * [taylor]: Taking taylor expansion of phi2 in phi1 3.538 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.538 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.538 * [taylor]: Taking taylor expansion of phi1 in phi1 3.538 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.538 * [taylor]: Taking taylor expansion of phi2 in phi1 3.538 * [taylor]: Taking taylor expansion of 0 in phi2 3.539 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.539 * [taylor]: Taking taylor expansion of phi2 in phi2 3.539 * [taylor]: Taking taylor expansion of 0 in phi2 3.540 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.540 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.540 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.540 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.540 * [taylor]: Taking taylor expansion of phi2 in phi2 3.541 * [taylor]: Taking taylor expansion of 0 in phi2 3.541 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.541 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.541 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.541 * [taylor]: Taking taylor expansion of phi1 in phi2 3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.541 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.541 * [taylor]: Taking taylor expansion of phi2 in phi2 3.541 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.541 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.541 * [taylor]: Taking taylor expansion of phi1 in phi1 3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.541 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.541 * [taylor]: Taking taylor expansion of phi2 in phi1 3.541 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.541 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.541 * [taylor]: Taking taylor expansion of phi1 in phi1 3.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.541 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.541 * [taylor]: Taking taylor expansion of phi2 in phi1 3.542 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.542 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.542 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.542 * [taylor]: Taking taylor expansion of phi1 in phi2 3.542 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.542 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.542 * [taylor]: Taking taylor expansion of phi2 in phi2 3.542 * [taylor]: Taking taylor expansion of 0 in phi2 3.543 * [taylor]: Taking taylor expansion of 0 in phi2 3.544 * [taylor]: Taking taylor expansion of 0 in phi2 3.544 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.544 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.544 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.544 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.544 * [taylor]: Taking taylor expansion of -1 in phi2 3.544 * [taylor]: Taking taylor expansion of phi1 in phi2 3.544 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.544 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.544 * [taylor]: Taking taylor expansion of -1 in phi2 3.544 * [taylor]: Taking taylor expansion of phi2 in phi2 3.544 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.544 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.544 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.544 * [taylor]: Taking taylor expansion of -1 in phi1 3.544 * [taylor]: Taking taylor expansion of phi1 in phi1 3.544 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.544 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.544 * [taylor]: Taking taylor expansion of -1 in phi1 3.544 * [taylor]: Taking taylor expansion of phi2 in phi1 3.544 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.545 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.545 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.545 * [taylor]: Taking taylor expansion of -1 in phi1 3.545 * [taylor]: Taking taylor expansion of phi1 in phi1 3.545 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.545 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.545 * [taylor]: Taking taylor expansion of -1 in phi1 3.545 * [taylor]: Taking taylor expansion of phi2 in phi1 3.545 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.545 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.545 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.545 * [taylor]: Taking taylor expansion of -1 in phi2 3.545 * [taylor]: Taking taylor expansion of phi1 in phi2 3.545 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.545 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.545 * [taylor]: Taking taylor expansion of -1 in phi2 3.545 * [taylor]: Taking taylor expansion of phi2 in phi2 3.546 * [taylor]: Taking taylor expansion of 0 in phi2 3.546 * [taylor]: Taking taylor expansion of 0 in phi2 3.547 * [taylor]: Taking taylor expansion of 0 in phi2 3.547 * * * [progress]: simplifying candidates 3.548 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.597 * * [simplify]: iteration 0 : 4915 enodes (cost 876 ) 3.598 * * [simplify]: iteration 1 : 4915 enodes (cost 876 ) 3.601 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (neg (sin lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (+ 1 (* lambda1 (- lambda2 (* lambda1 1/2)))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 3.601 * * * [progress]: adding candidates to table 3.692 * * [progress]: iteration 2 / 4 3.692 * * * [progress]: picking best candidate 3.760 * * * * [pick]: Picked # 3.760 * * * [progress]: localizing error 3.792 * * * [progress]: generating rewritten candidates 3.792 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.793 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 3.796 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.801 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 3.813 * * * [progress]: generating series expansions 3.813 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.813 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.813 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.814 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.814 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.814 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.815 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.815 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.815 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.815 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.816 * [taylor]: Taking taylor expansion of 0 in phi2 3.816 * [taylor]: Taking taylor expansion of 0 in lambda1 3.816 * [taylor]: Taking taylor expansion of 0 in lambda2 3.816 * [taylor]: Taking taylor expansion of 0 in lambda1 3.816 * [taylor]: Taking taylor expansion of 0 in lambda2 3.816 * [taylor]: Taking taylor expansion of 0 in lambda2 3.816 * [taylor]: Taking taylor expansion of 0 in phi2 3.816 * [taylor]: Taking taylor expansion of 0 in lambda1 3.816 * [taylor]: Taking taylor expansion of 0 in lambda2 3.816 * [taylor]: Taking taylor expansion of 0 in lambda1 3.816 * [taylor]: Taking taylor expansion of 0 in lambda2 3.817 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.820 * [taylor]: Taking taylor expansion of 0 in phi2 3.820 * [taylor]: Taking taylor expansion of 0 in lambda1 3.820 * [taylor]: Taking taylor expansion of 0 in lambda2 3.820 * [taylor]: Taking taylor expansion of 0 in lambda1 3.820 * [taylor]: Taking taylor expansion of 0 in lambda2 3.820 * [taylor]: Taking taylor expansion of 0 in lambda2 3.820 * [taylor]: Taking taylor expansion of 0 in phi2 3.820 * [taylor]: Taking taylor expansion of 0 in lambda1 3.821 * [taylor]: Taking taylor expansion of 0 in lambda2 3.821 * [taylor]: Taking taylor expansion of 0 in lambda1 3.821 * [taylor]: Taking taylor expansion of 0 in lambda2 3.823 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.826 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.827 * [taylor]: Taking taylor expansion of 0 in phi2 3.827 * [taylor]: Taking taylor expansion of 0 in lambda1 3.827 * [taylor]: Taking taylor expansion of 0 in lambda2 3.827 * [taylor]: Taking taylor expansion of 0 in lambda1 3.827 * [taylor]: Taking taylor expansion of 0 in lambda2 3.827 * [taylor]: Taking taylor expansion of 0 in lambda2 3.827 * [taylor]: Taking taylor expansion of 0 in phi2 3.827 * [taylor]: Taking taylor expansion of 0 in lambda1 3.827 * [taylor]: Taking taylor expansion of 0 in lambda2 3.827 * [taylor]: Taking taylor expansion of 0 in lambda1 3.827 * [taylor]: Taking taylor expansion of 0 in lambda2 3.828 * * * * [progress]: [ 2 / 4 ] generating series at (2) 3.828 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.828 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 3.828 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 3.828 * [taylor]: Taking taylor expansion of R in R 3.828 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 3.828 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.829 * [taylor]: Taking taylor expansion of R in lambda2 3.829 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 3.829 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.829 * [taylor]: Taking taylor expansion of R in lambda1 3.829 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.829 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.829 * [taylor]: Taking taylor expansion of R in phi2 3.829 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.829 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.830 * [taylor]: Taking taylor expansion of R in phi1 3.830 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.830 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.830 * [taylor]: Taking taylor expansion of R in phi1 3.830 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.830 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.831 * [taylor]: Taking taylor expansion of R in phi2 3.831 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 3.831 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.831 * [taylor]: Taking taylor expansion of R in lambda1 3.831 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 3.831 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.832 * [taylor]: Taking taylor expansion of R in lambda2 3.832 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 3.832 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 3.832 * [taylor]: Taking taylor expansion of R in R 3.833 * [taylor]: Taking taylor expansion of 0 in phi2 3.833 * [taylor]: Taking taylor expansion of 0 in lambda1 3.833 * [taylor]: Taking taylor expansion of 0 in lambda2 3.833 * [taylor]: Taking taylor expansion of 0 in R 3.833 * [taylor]: Taking taylor expansion of 0 in lambda1 3.833 * [taylor]: Taking taylor expansion of 0 in lambda2 3.833 * [taylor]: Taking taylor expansion of 0 in R 3.833 * [taylor]: Taking taylor expansion of 0 in lambda2 3.833 * [taylor]: Taking taylor expansion of 0 in R 3.834 * [taylor]: Taking taylor expansion of 0 in R 3.835 * [taylor]: Taking taylor expansion of 0 in phi2 3.835 * [taylor]: Taking taylor expansion of 0 in lambda1 3.835 * [taylor]: Taking taylor expansion of 0 in lambda2 3.835 * [taylor]: Taking taylor expansion of 0 in R 3.835 * [taylor]: Taking taylor expansion of 0 in lambda1 3.835 * [taylor]: Taking taylor expansion of 0 in lambda2 3.835 * [taylor]: Taking taylor expansion of 0 in R 3.835 * [taylor]: Taking taylor expansion of 0 in lambda1 3.835 * [taylor]: Taking taylor expansion of 0 in lambda2 3.835 * [taylor]: Taking taylor expansion of 0 in R 3.835 * [taylor]: Taking taylor expansion of 0 in lambda2 3.835 * [taylor]: Taking taylor expansion of 0 in R 3.835 * [taylor]: Taking taylor expansion of 0 in lambda2 3.835 * [taylor]: Taking taylor expansion of 0 in R 3.836 * [taylor]: Taking taylor expansion of 0 in lambda2 3.836 * [taylor]: Taking taylor expansion of 0 in R 3.836 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.836 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 3.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 3.837 * [taylor]: Taking taylor expansion of R in R 3.837 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 3.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.838 * [taylor]: Taking taylor expansion of R in lambda2 3.838 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 3.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.838 * [taylor]: Taking taylor expansion of R in lambda1 3.839 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 3.839 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.839 * [taylor]: Taking taylor expansion of R in phi2 3.839 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 3.839 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.840 * [taylor]: Taking taylor expansion of R in phi1 3.840 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 3.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.841 * [taylor]: Taking taylor expansion of R in phi1 3.841 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 3.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.841 * [taylor]: Taking taylor expansion of R in phi2 3.842 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 3.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.842 * [taylor]: Taking taylor expansion of R in lambda1 3.843 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 3.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.843 * [taylor]: Taking taylor expansion of R in lambda2 3.843 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 3.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 3.844 * [taylor]: Taking taylor expansion of R in R 3.845 * [taylor]: Taking taylor expansion of 0 in phi2 3.845 * [taylor]: Taking taylor expansion of 0 in lambda1 3.845 * [taylor]: Taking taylor expansion of 0 in lambda2 3.845 * [taylor]: Taking taylor expansion of 0 in R 3.845 * [taylor]: Taking taylor expansion of 0 in lambda1 3.845 * [taylor]: Taking taylor expansion of 0 in lambda2 3.846 * [taylor]: Taking taylor expansion of 0 in R 3.846 * [taylor]: Taking taylor expansion of 0 in lambda2 3.846 * [taylor]: Taking taylor expansion of 0 in R 3.846 * [taylor]: Taking taylor expansion of 0 in R 3.847 * [taylor]: Taking taylor expansion of 0 in phi2 3.847 * [taylor]: Taking taylor expansion of 0 in lambda1 3.847 * [taylor]: Taking taylor expansion of 0 in lambda2 3.847 * [taylor]: Taking taylor expansion of 0 in R 3.847 * [taylor]: Taking taylor expansion of 0 in lambda1 3.847 * [taylor]: Taking taylor expansion of 0 in lambda2 3.847 * [taylor]: Taking taylor expansion of 0 in R 3.848 * [taylor]: Taking taylor expansion of 0 in lambda1 3.848 * [taylor]: Taking taylor expansion of 0 in lambda2 3.848 * [taylor]: Taking taylor expansion of 0 in R 3.848 * [taylor]: Taking taylor expansion of 0 in lambda2 3.848 * [taylor]: Taking taylor expansion of 0 in R 3.848 * [taylor]: Taking taylor expansion of 0 in lambda2 3.848 * [taylor]: Taking taylor expansion of 0 in R 3.848 * [taylor]: Taking taylor expansion of 0 in lambda2 3.848 * [taylor]: Taking taylor expansion of 0 in R 3.848 * [taylor]: Taking taylor expansion of 0 in R 3.848 * [taylor]: Taking taylor expansion of 0 in R 3.848 * [taylor]: Taking taylor expansion of 0 in R 3.849 * [taylor]: Taking taylor expansion of 0 in R 3.851 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.851 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 3.851 * [taylor]: Taking taylor expansion of -1 in R 3.851 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 3.851 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 3.851 * [taylor]: Taking taylor expansion of R in R 3.851 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.851 * [taylor]: Taking taylor expansion of -1 in lambda2 3.851 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.851 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.852 * [taylor]: Taking taylor expansion of R in lambda2 3.852 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.852 * [taylor]: Taking taylor expansion of -1 in lambda1 3.852 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.852 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.853 * [taylor]: Taking taylor expansion of R in lambda1 3.853 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.853 * [taylor]: Taking taylor expansion of -1 in phi2 3.853 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.853 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.853 * [taylor]: Taking taylor expansion of R in phi2 3.854 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.854 * [taylor]: Taking taylor expansion of -1 in phi1 3.854 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.854 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.854 * [taylor]: Taking taylor expansion of R in phi1 3.855 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.855 * [taylor]: Taking taylor expansion of -1 in phi1 3.855 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.855 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.855 * [taylor]: Taking taylor expansion of R in phi1 3.856 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.856 * [taylor]: Taking taylor expansion of -1 in phi2 3.856 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.856 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.856 * [taylor]: Taking taylor expansion of R in phi2 3.857 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.857 * [taylor]: Taking taylor expansion of -1 in lambda1 3.857 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.857 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.857 * [taylor]: Taking taylor expansion of R in lambda1 3.858 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.858 * [taylor]: Taking taylor expansion of -1 in lambda2 3.858 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.858 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.859 * [taylor]: Taking taylor expansion of R in lambda2 3.859 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 3.859 * [taylor]: Taking taylor expansion of -1 in R 3.859 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 3.859 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 3.860 * [taylor]: Taking taylor expansion of R in R 3.862 * [taylor]: Taking taylor expansion of 0 in phi2 3.862 * [taylor]: Taking taylor expansion of 0 in lambda1 3.862 * [taylor]: Taking taylor expansion of 0 in lambda2 3.862 * [taylor]: Taking taylor expansion of 0 in R 3.863 * [taylor]: Taking taylor expansion of 0 in lambda1 3.863 * [taylor]: Taking taylor expansion of 0 in lambda2 3.863 * [taylor]: Taking taylor expansion of 0 in R 3.863 * [taylor]: Taking taylor expansion of 0 in lambda2 3.863 * [taylor]: Taking taylor expansion of 0 in R 3.864 * [taylor]: Taking taylor expansion of 0 in R 3.866 * [taylor]: Taking taylor expansion of 0 in phi2 3.866 * [taylor]: Taking taylor expansion of 0 in lambda1 3.866 * [taylor]: Taking taylor expansion of 0 in lambda2 3.866 * [taylor]: Taking taylor expansion of 0 in R 3.866 * [taylor]: Taking taylor expansion of 0 in lambda1 3.866 * [taylor]: Taking taylor expansion of 0 in lambda2 3.866 * [taylor]: Taking taylor expansion of 0 in R 3.867 * [taylor]: Taking taylor expansion of 0 in lambda1 3.867 * [taylor]: Taking taylor expansion of 0 in lambda2 3.867 * [taylor]: Taking taylor expansion of 0 in R 3.867 * [taylor]: Taking taylor expansion of 0 in lambda2 3.867 * [taylor]: Taking taylor expansion of 0 in R 3.867 * [taylor]: Taking taylor expansion of 0 in lambda2 3.867 * [taylor]: Taking taylor expansion of 0 in R 3.868 * [taylor]: Taking taylor expansion of 0 in lambda2 3.868 * [taylor]: Taking taylor expansion of 0 in R 3.868 * [taylor]: Taking taylor expansion of 0 in R 3.868 * [taylor]: Taking taylor expansion of 0 in R 3.868 * [taylor]: Taking taylor expansion of 0 in R 3.869 * [taylor]: Taking taylor expansion of 0 in R 3.870 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.870 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.870 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.870 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.870 * [taylor]: Taking taylor expansion of phi1 in phi2 3.870 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.870 * [taylor]: Taking taylor expansion of phi2 in phi2 3.870 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.870 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.870 * [taylor]: Taking taylor expansion of phi1 in phi1 3.870 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.870 * [taylor]: Taking taylor expansion of phi2 in phi1 3.870 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.870 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.870 * [taylor]: Taking taylor expansion of phi1 in phi1 3.870 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.870 * [taylor]: Taking taylor expansion of phi2 in phi1 3.871 * [taylor]: Taking taylor expansion of 0 in phi2 3.871 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.871 * [taylor]: Taking taylor expansion of phi2 in phi2 3.871 * [taylor]: Taking taylor expansion of 0 in phi2 3.872 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.872 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.872 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.872 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.872 * [taylor]: Taking taylor expansion of phi2 in phi2 3.873 * [taylor]: Taking taylor expansion of 0 in phi2 3.873 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.873 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.873 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.873 * [taylor]: Taking taylor expansion of phi1 in phi2 3.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.873 * [taylor]: Taking taylor expansion of phi2 in phi2 3.873 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.873 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.873 * [taylor]: Taking taylor expansion of phi1 in phi1 3.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.873 * [taylor]: Taking taylor expansion of phi2 in phi1 3.873 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.873 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.873 * [taylor]: Taking taylor expansion of phi1 in phi1 3.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.873 * [taylor]: Taking taylor expansion of phi2 in phi1 3.874 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.874 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.874 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.874 * [taylor]: Taking taylor expansion of phi1 in phi2 3.874 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.874 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.874 * [taylor]: Taking taylor expansion of phi2 in phi2 3.874 * [taylor]: Taking taylor expansion of 0 in phi2 3.875 * [taylor]: Taking taylor expansion of 0 in phi2 3.876 * [taylor]: Taking taylor expansion of 0 in phi2 3.876 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.876 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.876 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.876 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.876 * [taylor]: Taking taylor expansion of -1 in phi2 3.876 * [taylor]: Taking taylor expansion of phi1 in phi2 3.876 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.876 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.876 * [taylor]: Taking taylor expansion of -1 in phi2 3.876 * [taylor]: Taking taylor expansion of phi2 in phi2 3.876 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.876 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.876 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.876 * [taylor]: Taking taylor expansion of -1 in phi1 3.876 * [taylor]: Taking taylor expansion of phi1 in phi1 3.876 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.876 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.876 * [taylor]: Taking taylor expansion of -1 in phi1 3.876 * [taylor]: Taking taylor expansion of phi2 in phi1 3.877 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.877 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.877 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.877 * [taylor]: Taking taylor expansion of -1 in phi1 3.877 * [taylor]: Taking taylor expansion of phi1 in phi1 3.877 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.877 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.877 * [taylor]: Taking taylor expansion of -1 in phi1 3.877 * [taylor]: Taking taylor expansion of phi2 in phi1 3.877 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.877 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.877 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.877 * [taylor]: Taking taylor expansion of -1 in phi2 3.877 * [taylor]: Taking taylor expansion of phi1 in phi2 3.877 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.877 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.877 * [taylor]: Taking taylor expansion of -1 in phi2 3.877 * [taylor]: Taking taylor expansion of phi2 in phi2 3.878 * [taylor]: Taking taylor expansion of 0 in phi2 3.878 * [taylor]: Taking taylor expansion of 0 in phi2 3.879 * [taylor]: Taking taylor expansion of 0 in phi2 3.879 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 3.879 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.880 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 3.880 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 3.880 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.880 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 3.880 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 3.880 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.880 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 3.880 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 3.880 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 3.880 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.880 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.880 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.880 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 3.880 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.880 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.880 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.880 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.880 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 3.880 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 3.880 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.880 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 3.880 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 3.880 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.880 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 3.880 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.880 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.880 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.880 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.880 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.880 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.880 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.880 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.880 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.880 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.880 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 3.880 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 3.880 * [taylor]: Taking taylor expansion of phi1 in phi2 3.880 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 3.880 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.880 * [taylor]: Taking taylor expansion of phi2 in phi2 3.880 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 3.880 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 3.880 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.880 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.880 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.880 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.881 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 3.881 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.881 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.881 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.881 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.881 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 3.881 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 3.881 * [taylor]: Taking taylor expansion of phi1 in phi1 3.881 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 3.881 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 3.881 * [taylor]: Taking taylor expansion of phi2 in phi1 3.881 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 3.881 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 3.881 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.881 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.881 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 3.881 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.881 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.881 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 3.881 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 3.881 * [taylor]: Taking taylor expansion of phi1 in phi1 3.881 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 3.881 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 3.881 * [taylor]: Taking taylor expansion of phi2 in phi1 3.881 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 3.881 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 3.881 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.881 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.881 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 3.881 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.881 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 3.881 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.882 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 3.882 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.882 * [taylor]: Taking taylor expansion of phi2 in phi2 3.882 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 3.882 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 3.882 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.882 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.882 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.882 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.882 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 3.882 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.882 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.882 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.882 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.883 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 3.883 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.883 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.883 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.883 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.883 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.883 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.883 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.883 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.883 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.883 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.883 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.883 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.884 * [taylor]: Taking taylor expansion of 0 in phi2 3.884 * [taylor]: Taking taylor expansion of 0 in lambda1 3.884 * [taylor]: Taking taylor expansion of 0 in lambda2 3.885 * [taylor]: Taking taylor expansion of 0 in lambda1 3.885 * [taylor]: Taking taylor expansion of 0 in lambda2 3.885 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.885 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.887 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 3.887 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 3.887 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 3.887 * [taylor]: Taking taylor expansion of 1/2 in phi2 3.887 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 3.887 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 3.887 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.887 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 3.887 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.887 * [taylor]: Taking taylor expansion of phi2 in phi2 3.887 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 3.887 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.887 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 3.887 * [taylor]: Taking taylor expansion of 1/2 in phi2 3.887 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 3.887 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 3.888 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.888 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 3.888 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 3.888 * [taylor]: Taking taylor expansion of phi2 in phi2 3.888 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 3.888 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.888 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 3.888 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 3.888 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 3.888 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.888 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.888 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.888 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.888 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.888 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.888 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 3.888 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.888 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.888 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.888 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.888 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.889 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.889 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 3.889 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 3.889 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.889 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.889 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.889 * [taylor]: Taking taylor expansion of 0 in lambda1 3.889 * [taylor]: Taking taylor expansion of 0 in lambda2 3.890 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 3.890 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 3.890 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 3.890 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.890 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 3.890 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 3.890 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.890 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 3.890 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.890 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 3.890 * [taylor]: Taking taylor expansion of 1/2 in lambda1 3.890 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.890 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.890 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.890 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.890 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.891 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 3.891 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 3.891 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.891 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 3.891 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.891 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.891 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.891 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 3.891 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 3.891 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.891 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 3.891 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 3.891 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 3.891 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.892 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 3.892 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.892 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.892 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.892 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.892 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.892 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.892 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.892 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 3.892 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 3.892 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.892 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.892 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 3.892 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.892 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.892 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.892 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 3.892 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 3.892 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.892 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 3.892 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 3.892 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 3.892 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.892 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 3.892 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.892 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.892 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.892 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.892 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.892 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.892 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.892 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 3.892 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 3.892 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.892 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.893 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 3.893 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.893 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.893 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 3.893 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 3.893 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.893 * [taylor]: Taking taylor expansion of phi2 in phi2 3.893 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 3.893 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 3.893 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.893 * [taylor]: Taking taylor expansion of phi1 in phi2 3.893 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 3.893 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 3.893 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 3.893 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.893 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.893 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 3.893 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.893 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.893 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 3.893 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 3.893 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.893 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.893 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 3.893 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.893 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.893 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 3.893 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 3.893 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.893 * [taylor]: Taking taylor expansion of phi2 in phi1 3.893 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 3.893 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 3.893 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.893 * [taylor]: Taking taylor expansion of phi1 in phi1 3.894 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 3.894 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 3.894 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.894 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.894 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.894 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.894 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 3.894 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.894 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.894 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.894 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.894 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 3.894 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.894 * [taylor]: Taking taylor expansion of phi2 in phi1 3.894 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 3.894 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.894 * [taylor]: Taking taylor expansion of phi1 in phi1 3.894 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 3.894 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 3.894 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.894 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.894 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.894 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.894 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 3.894 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 3.894 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 3.894 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.895 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 3.895 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 3.895 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.896 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 3.896 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 3.896 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.896 * [taylor]: Taking taylor expansion of phi2 in phi2 3.896 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 3.896 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 3.896 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.896 * [taylor]: Taking taylor expansion of phi1 in phi2 3.896 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 3.896 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 3.896 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 3.896 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.896 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.896 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 3.896 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.896 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.896 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 3.896 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 3.896 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 3.896 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.896 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 3.896 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 3.896 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.897 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 3.897 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 3.897 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 3.897 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.897 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 3.897 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 3.897 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 3.897 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.897 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 3.897 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.897 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.897 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.897 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.898 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.898 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.898 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 3.898 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 3.898 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.898 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.898 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 3.898 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.898 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.899 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 3.899 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 3.899 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 3.899 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.899 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 3.899 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 3.899 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 3.899 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.899 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 3.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.899 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.899 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.899 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 3.899 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 3.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.899 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.899 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 3.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.899 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.902 * [taylor]: Taking taylor expansion of 0 in phi2 3.902 * [taylor]: Taking taylor expansion of 0 in lambda1 3.902 * [taylor]: Taking taylor expansion of 0 in lambda2 3.903 * [taylor]: Taking taylor expansion of 0 in lambda1 3.903 * [taylor]: Taking taylor expansion of 0 in lambda2 3.906 * [taylor]: Taking taylor expansion of 0 in lambda2 3.909 * [taylor]: Taking taylor expansion of 0 in phi2 3.909 * [taylor]: Taking taylor expansion of 0 in lambda1 3.909 * [taylor]: Taking taylor expansion of 0 in lambda2 3.909 * [taylor]: Taking taylor expansion of 0 in lambda1 3.909 * [taylor]: Taking taylor expansion of 0 in lambda2 3.910 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.910 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.910 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 3.910 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 3.910 * [taylor]: Taking taylor expansion of -1 in lambda2 3.910 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.910 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 3.910 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 3.910 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 3.910 * [taylor]: Taking taylor expansion of -1 in lambda2 3.910 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.910 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 3.910 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.910 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 3.910 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.910 * [taylor]: Taking taylor expansion of -1 in lambda2 3.910 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.910 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 3.910 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.911 * [taylor]: Taking taylor expansion of -1 in lambda2 3.911 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.911 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.911 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.911 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.911 * [taylor]: Taking taylor expansion of -1 in lambda2 3.911 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.911 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.911 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.911 * [taylor]: Taking taylor expansion of -1 in lambda2 3.911 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.911 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 3.911 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 3.911 * [taylor]: Taking taylor expansion of -1 in lambda1 3.911 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 3.911 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 3.911 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 3.911 * [taylor]: Taking taylor expansion of -1 in lambda1 3.911 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.911 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 3.911 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 3.911 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 3.911 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.911 * [taylor]: Taking taylor expansion of -1 in lambda1 3.911 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.911 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 3.911 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.911 * [taylor]: Taking taylor expansion of -1 in lambda1 3.911 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.911 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.911 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.911 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.911 * [taylor]: Taking taylor expansion of -1 in lambda1 3.911 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.911 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.911 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.911 * [taylor]: Taking taylor expansion of -1 in lambda1 3.912 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 3.912 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 3.912 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.912 * [taylor]: Taking taylor expansion of -1 in phi2 3.912 * [taylor]: Taking taylor expansion of phi1 in phi2 3.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 3.912 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 3.912 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.912 * [taylor]: Taking taylor expansion of -1 in phi2 3.912 * [taylor]: Taking taylor expansion of phi2 in phi2 3.912 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 3.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 3.912 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 3.912 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.912 * [taylor]: Taking taylor expansion of -1 in phi2 3.912 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.912 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 3.912 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.912 * [taylor]: Taking taylor expansion of -1 in phi2 3.912 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.912 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 3.912 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 3.912 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.912 * [taylor]: Taking taylor expansion of -1 in phi2 3.912 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.912 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 3.912 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.912 * [taylor]: Taking taylor expansion of -1 in phi2 3.912 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 3.912 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 3.912 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.912 * [taylor]: Taking taylor expansion of -1 in phi1 3.912 * [taylor]: Taking taylor expansion of phi1 in phi1 3.912 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 3.913 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.913 * [taylor]: Taking taylor expansion of phi2 in phi1 3.913 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 3.913 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 3.913 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.913 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.913 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.913 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.913 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 3.913 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.913 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.913 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.913 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.913 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 3.913 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.913 * [taylor]: Taking taylor expansion of phi1 in phi1 3.913 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 3.913 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.913 * [taylor]: Taking taylor expansion of phi2 in phi1 3.913 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 3.913 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 3.913 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 3.913 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.913 * [taylor]: Taking taylor expansion of -1 in phi1 3.914 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.914 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 3.914 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.914 * [taylor]: Taking taylor expansion of -1 in phi1 3.914 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.914 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 3.914 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 3.914 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 3.914 * [taylor]: Taking taylor expansion of -1 in phi1 3.914 * [taylor]: Taking taylor expansion of lambda1 in phi1 3.914 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 3.914 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 3.914 * [taylor]: Taking taylor expansion of -1 in phi1 3.914 * [taylor]: Taking taylor expansion of lambda2 in phi1 3.915 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 3.915 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 3.915 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.915 * [taylor]: Taking taylor expansion of -1 in phi2 3.915 * [taylor]: Taking taylor expansion of phi1 in phi2 3.915 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 3.915 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 3.915 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.915 * [taylor]: Taking taylor expansion of -1 in phi2 3.915 * [taylor]: Taking taylor expansion of phi2 in phi2 3.915 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 3.915 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 3.915 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 3.915 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.915 * [taylor]: Taking taylor expansion of -1 in phi2 3.915 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.915 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 3.915 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.915 * [taylor]: Taking taylor expansion of -1 in phi2 3.915 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.915 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 3.915 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 3.915 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 3.915 * [taylor]: Taking taylor expansion of -1 in phi2 3.915 * [taylor]: Taking taylor expansion of lambda1 in phi2 3.916 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 3.916 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 3.916 * [taylor]: Taking taylor expansion of -1 in phi2 3.916 * [taylor]: Taking taylor expansion of lambda2 in phi2 3.917 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 3.917 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 3.917 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 3.917 * [taylor]: Taking taylor expansion of -1 in lambda1 3.917 * [taylor]: Taking taylor expansion of phi1 in lambda1 3.917 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 3.917 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 3.917 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 3.917 * [taylor]: Taking taylor expansion of -1 in lambda1 3.917 * [taylor]: Taking taylor expansion of phi2 in lambda1 3.917 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 3.917 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 3.917 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 3.917 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.917 * [taylor]: Taking taylor expansion of -1 in lambda1 3.917 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.917 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 3.917 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.917 * [taylor]: Taking taylor expansion of -1 in lambda1 3.917 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.917 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.917 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.917 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.917 * [taylor]: Taking taylor expansion of -1 in lambda1 3.917 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.917 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.917 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.917 * [taylor]: Taking taylor expansion of -1 in lambda1 3.917 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.918 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 3.918 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 3.918 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 3.918 * [taylor]: Taking taylor expansion of -1 in lambda2 3.918 * [taylor]: Taking taylor expansion of phi1 in lambda2 3.918 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 3.918 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 3.918 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 3.918 * [taylor]: Taking taylor expansion of -1 in lambda2 3.918 * [taylor]: Taking taylor expansion of phi2 in lambda2 3.918 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 3.918 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 3.918 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 3.918 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.919 * [taylor]: Taking taylor expansion of -1 in lambda2 3.919 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.919 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 3.919 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.919 * [taylor]: Taking taylor expansion of -1 in lambda2 3.919 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.919 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.919 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.919 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.919 * [taylor]: Taking taylor expansion of -1 in lambda2 3.919 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.919 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.919 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.919 * [taylor]: Taking taylor expansion of -1 in lambda2 3.919 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.921 * [taylor]: Taking taylor expansion of 0 in phi2 3.922 * [taylor]: Taking taylor expansion of 0 in lambda1 3.922 * [taylor]: Taking taylor expansion of 0 in lambda2 3.923 * [taylor]: Taking taylor expansion of 0 in lambda1 3.923 * [taylor]: Taking taylor expansion of 0 in lambda2 3.924 * [taylor]: Taking taylor expansion of 0 in lambda2 3.927 * [taylor]: Taking taylor expansion of 0 in phi2 3.927 * [taylor]: Taking taylor expansion of 0 in lambda1 3.928 * [taylor]: Taking taylor expansion of 0 in lambda2 3.928 * [taylor]: Taking taylor expansion of 0 in lambda1 3.928 * [taylor]: Taking taylor expansion of 0 in lambda2 3.928 * * * [progress]: simplifying candidates 3.929 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3.958 * * [simplify]: iteration 0 : 5074 enodes (cost 1677 ) 3.963 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (pow (exp (cos phi1)) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (* (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (sqrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* 2 (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (+ (cos (+ lambda1 lambda2)) (+ (cos (- lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))) 8 (* (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (cos lambda1) (* (cos lambda2) (* (cos lambda1) (cos lambda2)))) (* (sin lambda1) (* (sin lambda2) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (* (cos phi1) (* (cos phi2) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cos phi1) (* (cos phi2) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* 2 (* (* (cos phi1) (cos phi2)) (+ (cos (+ lambda1 lambda2)) (+ (cos (- lambda1 lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))))) (* (cos phi1) (* (cos phi2) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (* (cos lambda2) (* (cos lambda1) (cos lambda2)))) (* (sin lambda1) (* (sin lambda2) (* (sin lambda1) (sin lambda2))))))) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (* 1/2 (+ (* phi1 phi1) (* phi2 phi2)))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3.964 * * * [progress]: adding candidates to table 4.072 * * [progress]: iteration 3 / 4 4.072 * * * [progress]: picking best candidate 4.168 * * * * [pick]: Picked # 4.168 * * * [progress]: localizing error 4.206 * * * [progress]: generating rewritten candidates 4.206 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.207 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.211 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 2) 4.221 * * * [progress]: generating series expansions 4.221 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.222 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.222 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.222 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.222 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.223 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.223 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.223 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.224 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.224 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.224 * [taylor]: Taking taylor expansion of 0 in phi2 4.224 * [taylor]: Taking taylor expansion of 0 in lambda1 4.224 * [taylor]: Taking taylor expansion of 0 in lambda2 4.224 * [taylor]: Taking taylor expansion of 0 in lambda1 4.224 * [taylor]: Taking taylor expansion of 0 in lambda2 4.225 * [taylor]: Taking taylor expansion of 0 in lambda2 4.225 * [taylor]: Taking taylor expansion of 0 in phi2 4.225 * [taylor]: Taking taylor expansion of 0 in lambda1 4.225 * [taylor]: Taking taylor expansion of 0 in lambda2 4.225 * [taylor]: Taking taylor expansion of 0 in lambda1 4.225 * [taylor]: Taking taylor expansion of 0 in lambda2 4.225 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.225 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.226 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.226 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.226 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.227 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.227 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.228 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.228 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.229 * [taylor]: Taking taylor expansion of 0 in phi2 4.229 * [taylor]: Taking taylor expansion of 0 in lambda1 4.229 * [taylor]: Taking taylor expansion of 0 in lambda2 4.229 * [taylor]: Taking taylor expansion of 0 in lambda1 4.229 * [taylor]: Taking taylor expansion of 0 in lambda2 4.229 * [taylor]: Taking taylor expansion of 0 in lambda2 4.229 * [taylor]: Taking taylor expansion of 0 in phi2 4.229 * [taylor]: Taking taylor expansion of 0 in lambda1 4.229 * [taylor]: Taking taylor expansion of 0 in lambda2 4.229 * [taylor]: Taking taylor expansion of 0 in lambda1 4.229 * [taylor]: Taking taylor expansion of 0 in lambda2 4.230 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.230 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.231 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.232 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.233 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.234 * [taylor]: Taking taylor expansion of 0 in phi2 4.234 * [taylor]: Taking taylor expansion of 0 in lambda1 4.234 * [taylor]: Taking taylor expansion of 0 in lambda2 4.234 * [taylor]: Taking taylor expansion of 0 in lambda1 4.234 * [taylor]: Taking taylor expansion of 0 in lambda2 4.234 * [taylor]: Taking taylor expansion of 0 in lambda2 4.234 * [taylor]: Taking taylor expansion of 0 in phi2 4.234 * [taylor]: Taking taylor expansion of 0 in lambda1 4.234 * [taylor]: Taking taylor expansion of 0 in lambda2 4.234 * [taylor]: Taking taylor expansion of 0 in lambda1 4.234 * [taylor]: Taking taylor expansion of 0 in lambda2 4.234 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.235 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.235 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.235 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.235 * [taylor]: Taking taylor expansion of R in R 4.235 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.235 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.235 * [taylor]: Taking taylor expansion of R in lambda2 4.235 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.236 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.236 * [taylor]: Taking taylor expansion of R in lambda1 4.236 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.236 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.236 * [taylor]: Taking taylor expansion of R in phi2 4.236 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.236 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.236 * [taylor]: Taking taylor expansion of R in phi1 4.236 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.236 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.237 * [taylor]: Taking taylor expansion of R in phi1 4.237 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.237 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.237 * [taylor]: Taking taylor expansion of R in phi2 4.238 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.238 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.238 * [taylor]: Taking taylor expansion of R in lambda1 4.238 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.238 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.238 * [taylor]: Taking taylor expansion of R in lambda2 4.239 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.239 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.239 * [taylor]: Taking taylor expansion of R in R 4.240 * [taylor]: Taking taylor expansion of 0 in phi2 4.240 * [taylor]: Taking taylor expansion of 0 in lambda1 4.240 * [taylor]: Taking taylor expansion of 0 in lambda2 4.240 * [taylor]: Taking taylor expansion of 0 in R 4.240 * [taylor]: Taking taylor expansion of 0 in lambda1 4.240 * [taylor]: Taking taylor expansion of 0 in lambda2 4.240 * [taylor]: Taking taylor expansion of 0 in R 4.240 * [taylor]: Taking taylor expansion of 0 in lambda2 4.240 * [taylor]: Taking taylor expansion of 0 in R 4.241 * [taylor]: Taking taylor expansion of 0 in R 4.242 * [taylor]: Taking taylor expansion of 0 in phi2 4.242 * [taylor]: Taking taylor expansion of 0 in lambda1 4.242 * [taylor]: Taking taylor expansion of 0 in lambda2 4.242 * [taylor]: Taking taylor expansion of 0 in R 4.242 * [taylor]: Taking taylor expansion of 0 in lambda1 4.242 * [taylor]: Taking taylor expansion of 0 in lambda2 4.242 * [taylor]: Taking taylor expansion of 0 in R 4.242 * [taylor]: Taking taylor expansion of 0 in lambda1 4.242 * [taylor]: Taking taylor expansion of 0 in lambda2 4.242 * [taylor]: Taking taylor expansion of 0 in R 4.242 * [taylor]: Taking taylor expansion of 0 in lambda2 4.242 * [taylor]: Taking taylor expansion of 0 in R 4.242 * [taylor]: Taking taylor expansion of 0 in lambda2 4.242 * [taylor]: Taking taylor expansion of 0 in R 4.242 * [taylor]: Taking taylor expansion of 0 in lambda2 4.242 * [taylor]: Taking taylor expansion of 0 in R 4.243 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.243 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 4.243 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 4.244 * [taylor]: Taking taylor expansion of R in R 4.244 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 4.244 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.244 * [taylor]: Taking taylor expansion of R in lambda2 4.245 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 4.245 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.245 * [taylor]: Taking taylor expansion of R in lambda1 4.246 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 4.246 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.246 * [taylor]: Taking taylor expansion of R in phi2 4.246 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 4.246 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.247 * [taylor]: Taking taylor expansion of R in phi1 4.247 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 4.247 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.247 * [taylor]: Taking taylor expansion of R in phi1 4.248 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 4.248 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.248 * [taylor]: Taking taylor expansion of R in phi2 4.249 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 4.249 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.249 * [taylor]: Taking taylor expansion of R in lambda1 4.249 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 4.249 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.250 * [taylor]: Taking taylor expansion of R in lambda2 4.250 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 4.250 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 4.251 * [taylor]: Taking taylor expansion of R in R 4.252 * [taylor]: Taking taylor expansion of 0 in phi2 4.252 * [taylor]: Taking taylor expansion of 0 in lambda1 4.252 * [taylor]: Taking taylor expansion of 0 in lambda2 4.252 * [taylor]: Taking taylor expansion of 0 in R 4.252 * [taylor]: Taking taylor expansion of 0 in lambda1 4.252 * [taylor]: Taking taylor expansion of 0 in lambda2 4.252 * [taylor]: Taking taylor expansion of 0 in R 4.253 * [taylor]: Taking taylor expansion of 0 in lambda2 4.253 * [taylor]: Taking taylor expansion of 0 in R 4.253 * [taylor]: Taking taylor expansion of 0 in R 4.254 * [taylor]: Taking taylor expansion of 0 in phi2 4.254 * [taylor]: Taking taylor expansion of 0 in lambda1 4.254 * [taylor]: Taking taylor expansion of 0 in lambda2 4.254 * [taylor]: Taking taylor expansion of 0 in R 4.254 * [taylor]: Taking taylor expansion of 0 in lambda1 4.254 * [taylor]: Taking taylor expansion of 0 in lambda2 4.254 * [taylor]: Taking taylor expansion of 0 in R 4.255 * [taylor]: Taking taylor expansion of 0 in lambda1 4.255 * [taylor]: Taking taylor expansion of 0 in lambda2 4.255 * [taylor]: Taking taylor expansion of 0 in R 4.255 * [taylor]: Taking taylor expansion of 0 in lambda2 4.255 * [taylor]: Taking taylor expansion of 0 in R 4.255 * [taylor]: Taking taylor expansion of 0 in lambda2 4.255 * [taylor]: Taking taylor expansion of 0 in R 4.255 * [taylor]: Taking taylor expansion of 0 in lambda2 4.255 * [taylor]: Taking taylor expansion of 0 in R 4.255 * [taylor]: Taking taylor expansion of 0 in R 4.255 * [taylor]: Taking taylor expansion of 0 in R 4.255 * [taylor]: Taking taylor expansion of 0 in R 4.256 * [taylor]: Taking taylor expansion of 0 in R 4.257 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.257 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.257 * [taylor]: Taking taylor expansion of -1 in R 4.257 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.257 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.258 * [taylor]: Taking taylor expansion of R in R 4.258 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.258 * [taylor]: Taking taylor expansion of -1 in lambda2 4.258 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.258 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.258 * [taylor]: Taking taylor expansion of R in lambda2 4.259 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.259 * [taylor]: Taking taylor expansion of -1 in lambda1 4.259 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.259 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.259 * [taylor]: Taking taylor expansion of R in lambda1 4.260 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.260 * [taylor]: Taking taylor expansion of -1 in phi2 4.260 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.260 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.260 * [taylor]: Taking taylor expansion of R in phi2 4.260 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.260 * [taylor]: Taking taylor expansion of -1 in phi1 4.260 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.261 * [taylor]: Taking taylor expansion of R in phi1 4.261 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.261 * [taylor]: Taking taylor expansion of -1 in phi1 4.261 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.262 * [taylor]: Taking taylor expansion of R in phi1 4.262 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.263 * [taylor]: Taking taylor expansion of -1 in phi2 4.263 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.263 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.263 * [taylor]: Taking taylor expansion of R in phi2 4.264 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.264 * [taylor]: Taking taylor expansion of -1 in lambda1 4.264 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.264 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.264 * [taylor]: Taking taylor expansion of R in lambda1 4.265 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.265 * [taylor]: Taking taylor expansion of -1 in lambda2 4.265 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.265 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.265 * [taylor]: Taking taylor expansion of R in lambda2 4.266 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.266 * [taylor]: Taking taylor expansion of -1 in R 4.266 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.266 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.266 * [taylor]: Taking taylor expansion of R in R 4.268 * [taylor]: Taking taylor expansion of 0 in phi2 4.268 * [taylor]: Taking taylor expansion of 0 in lambda1 4.268 * [taylor]: Taking taylor expansion of 0 in lambda2 4.268 * [taylor]: Taking taylor expansion of 0 in R 4.269 * [taylor]: Taking taylor expansion of 0 in lambda1 4.269 * [taylor]: Taking taylor expansion of 0 in lambda2 4.269 * [taylor]: Taking taylor expansion of 0 in R 4.270 * [taylor]: Taking taylor expansion of 0 in lambda2 4.270 * [taylor]: Taking taylor expansion of 0 in R 4.271 * [taylor]: Taking taylor expansion of 0 in R 4.273 * [taylor]: Taking taylor expansion of 0 in phi2 4.273 * [taylor]: Taking taylor expansion of 0 in lambda1 4.273 * [taylor]: Taking taylor expansion of 0 in lambda2 4.273 * [taylor]: Taking taylor expansion of 0 in R 4.273 * [taylor]: Taking taylor expansion of 0 in lambda1 4.273 * [taylor]: Taking taylor expansion of 0 in lambda2 4.273 * [taylor]: Taking taylor expansion of 0 in R 4.274 * [taylor]: Taking taylor expansion of 0 in lambda1 4.274 * [taylor]: Taking taylor expansion of 0 in lambda2 4.274 * [taylor]: Taking taylor expansion of 0 in R 4.274 * [taylor]: Taking taylor expansion of 0 in lambda2 4.274 * [taylor]: Taking taylor expansion of 0 in R 4.274 * [taylor]: Taking taylor expansion of 0 in lambda2 4.274 * [taylor]: Taking taylor expansion of 0 in R 4.274 * [taylor]: Taking taylor expansion of 0 in lambda2 4.275 * [taylor]: Taking taylor expansion of 0 in R 4.275 * [taylor]: Taking taylor expansion of 0 in R 4.275 * [taylor]: Taking taylor expansion of 0 in R 4.275 * [taylor]: Taking taylor expansion of 0 in R 4.275 * [taylor]: Taking taylor expansion of 0 in R 4.279 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.279 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.279 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.279 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.279 * [taylor]: Taking taylor expansion of phi1 in phi2 4.279 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.280 * [taylor]: Taking taylor expansion of phi2 in phi2 4.280 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.280 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.280 * [taylor]: Taking taylor expansion of phi1 in phi1 4.280 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.280 * [taylor]: Taking taylor expansion of phi2 in phi1 4.280 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.280 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.280 * [taylor]: Taking taylor expansion of phi1 in phi1 4.280 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.280 * [taylor]: Taking taylor expansion of phi2 in phi1 4.280 * [taylor]: Taking taylor expansion of 0 in phi2 4.280 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.280 * [taylor]: Taking taylor expansion of phi2 in phi2 4.281 * [taylor]: Taking taylor expansion of 0 in phi2 4.281 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 4.281 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.281 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.281 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.281 * [taylor]: Taking taylor expansion of phi2 in phi2 4.282 * [taylor]: Taking taylor expansion of 0 in phi2 4.282 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 4.282 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.282 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.282 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.282 * [taylor]: Taking taylor expansion of phi1 in phi2 4.282 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.282 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.282 * [taylor]: Taking taylor expansion of phi2 in phi2 4.282 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.282 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.282 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.283 * [taylor]: Taking taylor expansion of phi1 in phi1 4.283 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.283 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.283 * [taylor]: Taking taylor expansion of phi2 in phi1 4.283 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.283 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.283 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.283 * [taylor]: Taking taylor expansion of phi1 in phi1 4.283 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.283 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.283 * [taylor]: Taking taylor expansion of phi2 in phi1 4.283 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.283 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.283 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.283 * [taylor]: Taking taylor expansion of phi1 in phi2 4.283 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.283 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.283 * [taylor]: Taking taylor expansion of phi2 in phi2 4.284 * [taylor]: Taking taylor expansion of 0 in phi2 4.284 * [taylor]: Taking taylor expansion of 0 in phi2 4.285 * [taylor]: Taking taylor expansion of 0 in phi2 4.285 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.285 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.285 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.285 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.285 * [taylor]: Taking taylor expansion of -1 in phi2 4.285 * [taylor]: Taking taylor expansion of phi1 in phi2 4.285 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.286 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.286 * [taylor]: Taking taylor expansion of -1 in phi2 4.286 * [taylor]: Taking taylor expansion of phi2 in phi2 4.286 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.286 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.286 * [taylor]: Taking taylor expansion of -1 in phi1 4.286 * [taylor]: Taking taylor expansion of phi1 in phi1 4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.286 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.286 * [taylor]: Taking taylor expansion of -1 in phi1 4.286 * [taylor]: Taking taylor expansion of phi2 in phi1 4.286 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.286 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.286 * [taylor]: Taking taylor expansion of -1 in phi1 4.286 * [taylor]: Taking taylor expansion of phi1 in phi1 4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.286 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.286 * [taylor]: Taking taylor expansion of -1 in phi1 4.286 * [taylor]: Taking taylor expansion of phi2 in phi1 4.286 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.286 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.286 * [taylor]: Taking taylor expansion of -1 in phi2 4.286 * [taylor]: Taking taylor expansion of phi1 in phi2 4.286 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.286 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.286 * [taylor]: Taking taylor expansion of -1 in phi2 4.286 * [taylor]: Taking taylor expansion of phi2 in phi2 4.287 * [taylor]: Taking taylor expansion of 0 in phi2 4.288 * [taylor]: Taking taylor expansion of 0 in phi2 4.288 * [taylor]: Taking taylor expansion of 0 in phi2 4.289 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 2) 4.289 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 4.289 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.289 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.289 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.289 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.289 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.289 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.289 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.289 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.289 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.289 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.289 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.289 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.289 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.289 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.289 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.289 * [taylor]: Taking taylor expansion of 0 in lambda2 4.289 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.289 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.290 * [taylor]: Taking taylor expansion of 0 in lambda2 4.290 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 4.290 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 4.290 * [taylor]: Taking taylor expansion of 1/6 in lambda2 4.290 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.290 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.291 * [taylor]: Taking taylor expansion of 0 in lambda2 4.291 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 4.291 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.291 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.291 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.291 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.292 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.292 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.292 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.292 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.292 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.292 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.292 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.292 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.292 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.292 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.292 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.292 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.292 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.292 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.292 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.292 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.292 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.292 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.293 * [taylor]: Taking taylor expansion of 0 in lambda2 4.294 * [taylor]: Taking taylor expansion of 0 in lambda2 4.294 * [taylor]: Taking taylor expansion of 0 in lambda2 4.295 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.295 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.295 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.295 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.295 * [taylor]: Taking taylor expansion of -1 in lambda2 4.295 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.295 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.295 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.295 * [taylor]: Taking taylor expansion of -1 in lambda2 4.295 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.295 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.295 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.295 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.295 * [taylor]: Taking taylor expansion of -1 in lambda1 4.295 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.295 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.295 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.295 * [taylor]: Taking taylor expansion of -1 in lambda1 4.295 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.295 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.295 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.295 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.295 * [taylor]: Taking taylor expansion of -1 in lambda1 4.295 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.295 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.295 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.295 * [taylor]: Taking taylor expansion of -1 in lambda1 4.295 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.296 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.296 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.296 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.296 * [taylor]: Taking taylor expansion of -1 in lambda2 4.296 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.296 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.296 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.296 * [taylor]: Taking taylor expansion of -1 in lambda2 4.296 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.296 * [taylor]: Taking taylor expansion of 0 in lambda2 4.297 * [taylor]: Taking taylor expansion of 0 in lambda2 4.298 * [taylor]: Taking taylor expansion of 0 in lambda2 4.298 * * * [progress]: simplifying candidates 4.299 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 4.339 * * [simplify]: iteration 0 : 4919 enodes (cost 1173 ) 4.339 * * [simplify]: iteration 1 : 4919 enodes (cost 1173 ) 4.343 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (sin lambda2) (cbrt (sin lambda1))) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 4.343 * * * [progress]: adding candidates to table 4.416 * * [progress]: iteration 4 / 4 4.416 * * * [progress]: picking best candidate 4.506 * * * * [pick]: Picked # 4.506 * * * [progress]: localizing error 4.546 * * * [progress]: generating rewritten candidates 4.546 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.547 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.550 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 4.552 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.558 * * * [progress]: generating series expansions 4.559 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.559 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.559 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.559 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.560 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.560 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.560 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.560 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.561 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.561 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.562 * [taylor]: Taking taylor expansion of 0 in phi2 4.562 * [taylor]: Taking taylor expansion of 0 in lambda1 4.562 * [taylor]: Taking taylor expansion of 0 in lambda2 4.562 * [taylor]: Taking taylor expansion of 0 in lambda1 4.562 * [taylor]: Taking taylor expansion of 0 in lambda2 4.562 * [taylor]: Taking taylor expansion of 0 in lambda2 4.562 * [taylor]: Taking taylor expansion of 0 in phi2 4.562 * [taylor]: Taking taylor expansion of 0 in lambda1 4.562 * [taylor]: Taking taylor expansion of 0 in lambda2 4.562 * [taylor]: Taking taylor expansion of 0 in lambda1 4.562 * [taylor]: Taking taylor expansion of 0 in lambda2 4.562 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.562 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.563 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.563 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.564 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.564 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.564 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.565 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.565 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.566 * [taylor]: Taking taylor expansion of 0 in phi2 4.566 * [taylor]: Taking taylor expansion of 0 in lambda1 4.566 * [taylor]: Taking taylor expansion of 0 in lambda2 4.566 * [taylor]: Taking taylor expansion of 0 in lambda1 4.566 * [taylor]: Taking taylor expansion of 0 in lambda2 4.566 * [taylor]: Taking taylor expansion of 0 in lambda2 4.566 * [taylor]: Taking taylor expansion of 0 in phi2 4.566 * [taylor]: Taking taylor expansion of 0 in lambda1 4.566 * [taylor]: Taking taylor expansion of 0 in lambda2 4.566 * [taylor]: Taking taylor expansion of 0 in lambda1 4.566 * [taylor]: Taking taylor expansion of 0 in lambda2 4.567 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.567 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.567 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.568 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.568 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.569 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.569 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.569 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.570 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.571 * [taylor]: Taking taylor expansion of 0 in phi2 4.571 * [taylor]: Taking taylor expansion of 0 in lambda1 4.571 * [taylor]: Taking taylor expansion of 0 in lambda2 4.571 * [taylor]: Taking taylor expansion of 0 in lambda1 4.571 * [taylor]: Taking taylor expansion of 0 in lambda2 4.571 * [taylor]: Taking taylor expansion of 0 in lambda2 4.571 * [taylor]: Taking taylor expansion of 0 in phi2 4.571 * [taylor]: Taking taylor expansion of 0 in lambda1 4.571 * [taylor]: Taking taylor expansion of 0 in lambda2 4.571 * [taylor]: Taking taylor expansion of 0 in lambda1 4.571 * [taylor]: Taking taylor expansion of 0 in lambda2 4.571 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.572 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.572 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.572 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.572 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.573 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.573 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.573 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.573 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.574 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.574 * [taylor]: Taking taylor expansion of 0 in phi2 4.574 * [taylor]: Taking taylor expansion of 0 in lambda1 4.574 * [taylor]: Taking taylor expansion of 0 in lambda2 4.574 * [taylor]: Taking taylor expansion of 0 in lambda1 4.574 * [taylor]: Taking taylor expansion of 0 in lambda2 4.574 * [taylor]: Taking taylor expansion of 0 in lambda2 4.574 * [taylor]: Taking taylor expansion of 0 in phi2 4.574 * [taylor]: Taking taylor expansion of 0 in lambda1 4.574 * [taylor]: Taking taylor expansion of 0 in lambda2 4.574 * [taylor]: Taking taylor expansion of 0 in lambda1 4.574 * [taylor]: Taking taylor expansion of 0 in lambda2 4.575 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.575 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.576 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.576 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.576 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.577 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.577 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.577 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.578 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.579 * [taylor]: Taking taylor expansion of 0 in phi2 4.579 * [taylor]: Taking taylor expansion of 0 in lambda1 4.579 * [taylor]: Taking taylor expansion of 0 in lambda2 4.579 * [taylor]: Taking taylor expansion of 0 in lambda1 4.579 * [taylor]: Taking taylor expansion of 0 in lambda2 4.579 * [taylor]: Taking taylor expansion of 0 in lambda2 4.579 * [taylor]: Taking taylor expansion of 0 in phi2 4.579 * [taylor]: Taking taylor expansion of 0 in lambda1 4.579 * [taylor]: Taking taylor expansion of 0 in lambda2 4.579 * [taylor]: Taking taylor expansion of 0 in lambda1 4.579 * [taylor]: Taking taylor expansion of 0 in lambda2 4.580 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.580 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.580 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.581 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.581 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.581 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.582 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.582 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.582 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.583 * [taylor]: Taking taylor expansion of 0 in phi2 4.583 * [taylor]: Taking taylor expansion of 0 in lambda1 4.583 * [taylor]: Taking taylor expansion of 0 in lambda2 4.583 * [taylor]: Taking taylor expansion of 0 in lambda1 4.583 * [taylor]: Taking taylor expansion of 0 in lambda2 4.583 * [taylor]: Taking taylor expansion of 0 in lambda2 4.583 * [taylor]: Taking taylor expansion of 0 in phi2 4.583 * [taylor]: Taking taylor expansion of 0 in lambda1 4.583 * [taylor]: Taking taylor expansion of 0 in lambda2 4.584 * [taylor]: Taking taylor expansion of 0 in lambda1 4.584 * [taylor]: Taking taylor expansion of 0 in lambda2 4.584 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 4.584 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.584 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.584 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.585 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.585 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.586 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.586 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.586 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.586 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.587 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 4.587 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.587 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 4.587 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.588 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 4.588 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.588 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 4.588 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.590 * [taylor]: Taking taylor expansion of 0 in phi2 4.590 * [taylor]: Taking taylor expansion of 0 in lambda1 4.590 * [taylor]: Taking taylor expansion of 0 in lambda2 4.591 * [taylor]: Taking taylor expansion of 0 in lambda1 4.591 * [taylor]: Taking taylor expansion of 0 in lambda2 4.591 * [taylor]: Taking taylor expansion of 0 in lambda2 4.592 * [taylor]: Taking taylor expansion of 0 in phi2 4.592 * [taylor]: Taking taylor expansion of 0 in lambda1 4.592 * [taylor]: Taking taylor expansion of 0 in lambda2 4.592 * [taylor]: Taking taylor expansion of 0 in lambda1 4.592 * [taylor]: Taking taylor expansion of 0 in lambda2 4.593 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.593 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.593 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.593 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.593 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.594 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.594 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.595 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.595 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.596 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 4.596 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.596 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 4.596 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.597 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 4.597 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.598 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 4.598 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.599 * [taylor]: Taking taylor expansion of 0 in phi2 4.600 * [taylor]: Taking taylor expansion of 0 in lambda1 4.600 * [taylor]: Taking taylor expansion of 0 in lambda2 4.600 * [taylor]: Taking taylor expansion of 0 in lambda1 4.600 * [taylor]: Taking taylor expansion of 0 in lambda2 4.600 * [taylor]: Taking taylor expansion of 0 in lambda2 4.601 * [taylor]: Taking taylor expansion of 0 in phi2 4.601 * [taylor]: Taking taylor expansion of 0 in lambda1 4.601 * [taylor]: Taking taylor expansion of 0 in lambda2 4.601 * [taylor]: Taking taylor expansion of 0 in lambda1 4.602 * [taylor]: Taking taylor expansion of 0 in lambda2 4.602 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.602 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.602 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.603 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.603 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.604 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.604 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.605 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.605 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.605 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 4.605 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.606 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 4.606 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.607 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 4.607 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.608 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 4.608 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.609 * [taylor]: Taking taylor expansion of 0 in phi2 4.609 * [taylor]: Taking taylor expansion of 0 in lambda1 4.609 * [taylor]: Taking taylor expansion of 0 in lambda2 4.610 * [taylor]: Taking taylor expansion of 0 in lambda1 4.610 * [taylor]: Taking taylor expansion of 0 in lambda2 4.610 * [taylor]: Taking taylor expansion of 0 in lambda2 4.614 * [taylor]: Taking taylor expansion of 0 in phi2 4.614 * [taylor]: Taking taylor expansion of 0 in lambda1 4.614 * [taylor]: Taking taylor expansion of 0 in lambda2 4.614 * [taylor]: Taking taylor expansion of 0 in lambda1 4.614 * [taylor]: Taking taylor expansion of 0 in lambda2 4.615 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.615 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.615 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.615 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.616 * [taylor]: Taking taylor expansion of R in R 4.616 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.616 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.616 * [taylor]: Taking taylor expansion of R in lambda2 4.616 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.616 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.616 * [taylor]: Taking taylor expansion of R in lambda1 4.616 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.616 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.616 * [taylor]: Taking taylor expansion of R in phi2 4.617 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.617 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.617 * [taylor]: Taking taylor expansion of R in phi1 4.617 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 4.617 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.617 * [taylor]: Taking taylor expansion of R in phi1 4.617 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 4.617 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.618 * [taylor]: Taking taylor expansion of R in phi2 4.618 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 4.618 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.618 * [taylor]: Taking taylor expansion of R in lambda1 4.619 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 4.619 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.619 * [taylor]: Taking taylor expansion of R in lambda2 4.619 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 4.619 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 4.619 * [taylor]: Taking taylor expansion of R in R 4.620 * [taylor]: Taking taylor expansion of 0 in phi2 4.620 * [taylor]: Taking taylor expansion of 0 in lambda1 4.620 * [taylor]: Taking taylor expansion of 0 in lambda2 4.620 * [taylor]: Taking taylor expansion of 0 in R 4.620 * [taylor]: Taking taylor expansion of 0 in lambda1 4.620 * [taylor]: Taking taylor expansion of 0 in lambda2 4.620 * [taylor]: Taking taylor expansion of 0 in R 4.621 * [taylor]: Taking taylor expansion of 0 in lambda2 4.621 * [taylor]: Taking taylor expansion of 0 in R 4.621 * [taylor]: Taking taylor expansion of 0 in R 4.622 * [taylor]: Taking taylor expansion of 0 in phi2 4.622 * [taylor]: Taking taylor expansion of 0 in lambda1 4.622 * [taylor]: Taking taylor expansion of 0 in lambda2 4.622 * [taylor]: Taking taylor expansion of 0 in R 4.622 * [taylor]: Taking taylor expansion of 0 in lambda1 4.622 * [taylor]: Taking taylor expansion of 0 in lambda2 4.622 * [taylor]: Taking taylor expansion of 0 in R 4.622 * [taylor]: Taking taylor expansion of 0 in lambda1 4.622 * [taylor]: Taking taylor expansion of 0 in lambda2 4.623 * [taylor]: Taking taylor expansion of 0 in R 4.623 * [taylor]: Taking taylor expansion of 0 in lambda2 4.623 * [taylor]: Taking taylor expansion of 0 in R 4.623 * [taylor]: Taking taylor expansion of 0 in lambda2 4.623 * [taylor]: Taking taylor expansion of 0 in R 4.623 * [taylor]: Taking taylor expansion of 0 in lambda2 4.623 * [taylor]: Taking taylor expansion of 0 in R 4.624 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.624 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 4.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 4.624 * [taylor]: Taking taylor expansion of R in R 4.625 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 4.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.625 * [taylor]: Taking taylor expansion of R in lambda2 4.625 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 4.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.626 * [taylor]: Taking taylor expansion of R in lambda1 4.626 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 4.626 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.626 * [taylor]: Taking taylor expansion of R in phi2 4.627 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 4.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.627 * [taylor]: Taking taylor expansion of R in phi1 4.628 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 4.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.628 * [taylor]: Taking taylor expansion of R in phi1 4.628 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 4.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.629 * [taylor]: Taking taylor expansion of R in phi2 4.629 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 4.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.630 * [taylor]: Taking taylor expansion of R in lambda1 4.630 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 4.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.630 * [taylor]: Taking taylor expansion of R in lambda2 4.631 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 4.631 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 4.631 * [taylor]: Taking taylor expansion of R in R 4.632 * [taylor]: Taking taylor expansion of 0 in phi2 4.632 * [taylor]: Taking taylor expansion of 0 in lambda1 4.632 * [taylor]: Taking taylor expansion of 0 in lambda2 4.632 * [taylor]: Taking taylor expansion of 0 in R 4.633 * [taylor]: Taking taylor expansion of 0 in lambda1 4.633 * [taylor]: Taking taylor expansion of 0 in lambda2 4.633 * [taylor]: Taking taylor expansion of 0 in R 4.633 * [taylor]: Taking taylor expansion of 0 in lambda2 4.633 * [taylor]: Taking taylor expansion of 0 in R 4.634 * [taylor]: Taking taylor expansion of 0 in R 4.635 * [taylor]: Taking taylor expansion of 0 in phi2 4.635 * [taylor]: Taking taylor expansion of 0 in lambda1 4.635 * [taylor]: Taking taylor expansion of 0 in lambda2 4.635 * [taylor]: Taking taylor expansion of 0 in R 4.635 * [taylor]: Taking taylor expansion of 0 in lambda1 4.635 * [taylor]: Taking taylor expansion of 0 in lambda2 4.635 * [taylor]: Taking taylor expansion of 0 in R 4.635 * [taylor]: Taking taylor expansion of 0 in lambda1 4.635 * [taylor]: Taking taylor expansion of 0 in lambda2 4.635 * [taylor]: Taking taylor expansion of 0 in R 4.635 * [taylor]: Taking taylor expansion of 0 in lambda2 4.635 * [taylor]: Taking taylor expansion of 0 in R 4.635 * [taylor]: Taking taylor expansion of 0 in lambda2 4.635 * [taylor]: Taking taylor expansion of 0 in R 4.636 * [taylor]: Taking taylor expansion of 0 in lambda2 4.636 * [taylor]: Taking taylor expansion of 0 in R 4.636 * [taylor]: Taking taylor expansion of 0 in R 4.636 * [taylor]: Taking taylor expansion of 0 in R 4.636 * [taylor]: Taking taylor expansion of 0 in R 4.636 * [taylor]: Taking taylor expansion of 0 in R 4.638 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.638 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.638 * [taylor]: Taking taylor expansion of -1 in R 4.638 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.638 * [taylor]: Taking taylor expansion of R in R 4.639 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.639 * [taylor]: Taking taylor expansion of -1 in lambda2 4.639 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.639 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.639 * [taylor]: Taking taylor expansion of R in lambda2 4.639 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.639 * [taylor]: Taking taylor expansion of -1 in lambda1 4.639 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.640 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.640 * [taylor]: Taking taylor expansion of R in lambda1 4.640 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.641 * [taylor]: Taking taylor expansion of -1 in phi2 4.641 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.641 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.641 * [taylor]: Taking taylor expansion of R in phi2 4.641 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.641 * [taylor]: Taking taylor expansion of -1 in phi1 4.641 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.641 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.642 * [taylor]: Taking taylor expansion of R in phi1 4.642 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.642 * [taylor]: Taking taylor expansion of -1 in phi1 4.642 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.642 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.643 * [taylor]: Taking taylor expansion of R in phi1 4.643 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.643 * [taylor]: Taking taylor expansion of -1 in phi2 4.643 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.643 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.644 * [taylor]: Taking taylor expansion of R in phi2 4.644 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.644 * [taylor]: Taking taylor expansion of -1 in lambda1 4.645 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.645 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.645 * [taylor]: Taking taylor expansion of R in lambda1 4.646 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.646 * [taylor]: Taking taylor expansion of -1 in lambda2 4.646 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.646 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.646 * [taylor]: Taking taylor expansion of R in lambda2 4.647 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.647 * [taylor]: Taking taylor expansion of -1 in R 4.647 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.647 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.647 * [taylor]: Taking taylor expansion of R in R 4.649 * [taylor]: Taking taylor expansion of 0 in phi2 4.649 * [taylor]: Taking taylor expansion of 0 in lambda1 4.649 * [taylor]: Taking taylor expansion of 0 in lambda2 4.649 * [taylor]: Taking taylor expansion of 0 in R 4.650 * [taylor]: Taking taylor expansion of 0 in lambda1 4.650 * [taylor]: Taking taylor expansion of 0 in lambda2 4.650 * [taylor]: Taking taylor expansion of 0 in R 4.651 * [taylor]: Taking taylor expansion of 0 in lambda2 4.651 * [taylor]: Taking taylor expansion of 0 in R 4.652 * [taylor]: Taking taylor expansion of 0 in R 4.653 * [taylor]: Taking taylor expansion of 0 in phi2 4.653 * [taylor]: Taking taylor expansion of 0 in lambda1 4.653 * [taylor]: Taking taylor expansion of 0 in lambda2 4.653 * [taylor]: Taking taylor expansion of 0 in R 4.653 * [taylor]: Taking taylor expansion of 0 in lambda1 4.653 * [taylor]: Taking taylor expansion of 0 in lambda2 4.653 * [taylor]: Taking taylor expansion of 0 in R 4.654 * [taylor]: Taking taylor expansion of 0 in lambda1 4.654 * [taylor]: Taking taylor expansion of 0 in lambda2 4.654 * [taylor]: Taking taylor expansion of 0 in R 4.654 * [taylor]: Taking taylor expansion of 0 in lambda2 4.654 * [taylor]: Taking taylor expansion of 0 in R 4.654 * [taylor]: Taking taylor expansion of 0 in lambda2 4.654 * [taylor]: Taking taylor expansion of 0 in R 4.655 * [taylor]: Taking taylor expansion of 0 in lambda2 4.655 * [taylor]: Taking taylor expansion of 0 in R 4.655 * [taylor]: Taking taylor expansion of 0 in R 4.655 * [taylor]: Taking taylor expansion of 0 in R 4.655 * [taylor]: Taking taylor expansion of 0 in R 4.656 * [taylor]: Taking taylor expansion of 0 in R 4.657 * * * [progress]: simplifying candidates 4.658 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin 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))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* 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(sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin 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lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 4.731 * * * [progress]: adding candidates to table 4.801 * [progress]: [Phase 3 of 3] Extracting. 4.801 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 4.821 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 4.822 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 4.989 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 5.157 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 5.322 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 5.490 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 5.657 * * * [regime]: Found split indices: #