11.943 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.264 * * * [progress]: [2/2] Setting up program. 0.270 * [progress]: [Phase 2 of 3] Improving. 0.270 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.272 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.273 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.274 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.275 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.276 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.276 * * [progress]: iteration 1 / 4 0.276 * * * [progress]: picking best candidate 0.281 * * * * [pick]: Picked # 0.281 * * * [progress]: localizing error 0.309 * * * [progress]: generating rewritten candidates 0.309 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.313 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.315 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.323 * * * [progress]: generating series expansions 0.323 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.324 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.324 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.324 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.324 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.324 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.324 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.324 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.325 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.325 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.325 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.325 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.325 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.326 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.326 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.326 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.326 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.326 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.326 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.326 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.326 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.327 * [taylor]: Taking taylor expansion of 0 in lambda2 0.327 * [taylor]: Taking taylor expansion of 0 in lambda2 0.327 * [taylor]: Taking taylor expansion of 0 in lambda2 0.327 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.329 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in phi2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in phi2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in phi2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda1 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda1 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * [taylor]: Taking taylor expansion of 0 in phi2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda1 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda1 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.333 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in phi2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in phi2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.336 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.336 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.336 * [taylor]: Taking taylor expansion of R in R 0.336 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.336 * [taylor]: Taking taylor expansion of R in lambda2 0.336 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.336 * [taylor]: Taking taylor expansion of R in lambda1 0.336 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.337 * [taylor]: Taking taylor expansion of R in phi2 0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.337 * [taylor]: Taking taylor expansion of R in phi1 0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.337 * [taylor]: Taking taylor expansion of R in phi1 0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.337 * [taylor]: Taking taylor expansion of R in phi2 0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.337 * [taylor]: Taking taylor expansion of R in lambda1 0.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.338 * [taylor]: Taking taylor expansion of R in lambda2 0.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.338 * [taylor]: Taking taylor expansion of R in R 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda1 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in phi2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in R 0.341 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.341 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.341 * [taylor]: Taking taylor expansion of R in R 0.341 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.341 * [taylor]: Taking taylor expansion of R in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.342 * [taylor]: Taking taylor expansion of R in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.342 * [taylor]: Taking taylor expansion of R in phi2 0.342 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.343 * [taylor]: Taking taylor expansion of R in phi1 0.343 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.343 * [taylor]: Taking taylor expansion of R in phi1 0.343 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.344 * [taylor]: Taking taylor expansion of R in phi2 0.344 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.344 * [taylor]: Taking taylor expansion of R in lambda1 0.344 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.344 * [taylor]: Taking taylor expansion of R in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.345 * [taylor]: Taking taylor expansion of R in R 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in R 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in R 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in R 0.346 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in phi2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.349 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.349 * [taylor]: Taking taylor expansion of -1 in R 0.349 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.349 * [taylor]: Taking taylor expansion of R in R 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.349 * [taylor]: Taking taylor expansion of -1 in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.350 * [taylor]: Taking taylor expansion of R in lambda2 0.350 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.350 * [taylor]: Taking taylor expansion of -1 in lambda1 0.350 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.350 * [taylor]: Taking taylor expansion of R in lambda1 0.350 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.350 * [taylor]: Taking taylor expansion of -1 in phi2 0.350 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.351 * [taylor]: Taking taylor expansion of R in phi2 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.351 * [taylor]: Taking taylor expansion of -1 in phi1 0.351 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.351 * [taylor]: Taking taylor expansion of R in phi1 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.351 * [taylor]: Taking taylor expansion of -1 in phi1 0.351 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.352 * [taylor]: Taking taylor expansion of R in phi1 0.352 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.352 * [taylor]: Taking taylor expansion of -1 in phi2 0.352 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.352 * [taylor]: Taking taylor expansion of R in phi2 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.353 * [taylor]: Taking taylor expansion of -1 in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of R in lambda1 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.353 * [taylor]: Taking taylor expansion of -1 in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.354 * [taylor]: Taking taylor expansion of R in lambda2 0.354 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.354 * [taylor]: Taking taylor expansion of -1 in R 0.354 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.354 * [taylor]: Taking taylor expansion of R in R 0.355 * [taylor]: Taking taylor expansion of 0 in phi2 0.355 * [taylor]: Taking taylor expansion of 0 in lambda1 0.355 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in phi2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.360 * [taylor]: Taking taylor expansion of 0 in R 0.360 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.360 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.360 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.360 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.360 * [taylor]: Taking taylor expansion of phi1 in phi2 0.361 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.361 * [taylor]: Taking taylor expansion of phi2 in phi2 0.361 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.361 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.361 * [taylor]: Taking taylor expansion of phi1 in phi1 0.361 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.361 * [taylor]: Taking taylor expansion of phi2 in phi1 0.361 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.361 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.361 * [taylor]: Taking taylor expansion of phi1 in phi1 0.361 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.361 * [taylor]: Taking taylor expansion of phi2 in phi1 0.361 * [taylor]: Taking taylor expansion of 0 in phi2 0.361 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.361 * [taylor]: Taking taylor expansion of phi2 in phi2 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.362 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.362 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.362 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.362 * [taylor]: Taking taylor expansion of phi2 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.363 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.363 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.363 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.364 * [taylor]: Taking taylor expansion of phi1 in phi2 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.364 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.364 * [taylor]: Taking taylor expansion of phi2 in phi2 0.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.364 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.364 * [taylor]: Taking taylor expansion of phi1 in phi1 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.364 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.364 * [taylor]: Taking taylor expansion of phi2 in phi1 0.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.364 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.364 * [taylor]: Taking taylor expansion of phi1 in phi1 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.364 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.364 * [taylor]: Taking taylor expansion of phi2 in phi1 0.364 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.364 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.364 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.364 * [taylor]: Taking taylor expansion of phi1 in phi2 0.365 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.365 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.365 * [taylor]: Taking taylor expansion of phi2 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.366 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.367 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.367 * [taylor]: Taking taylor expansion of -1 in phi2 0.367 * [taylor]: Taking taylor expansion of phi1 in phi2 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.367 * [taylor]: Taking taylor expansion of -1 in phi2 0.367 * [taylor]: Taking taylor expansion of phi2 in phi2 0.367 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.367 * [taylor]: Taking taylor expansion of -1 in phi1 0.367 * [taylor]: Taking taylor expansion of phi1 in phi1 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.367 * [taylor]: Taking taylor expansion of -1 in phi1 0.367 * [taylor]: Taking taylor expansion of phi2 in phi1 0.367 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.367 * [taylor]: Taking taylor expansion of -1 in phi1 0.367 * [taylor]: Taking taylor expansion of phi1 in phi1 0.367 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.367 * [taylor]: Taking taylor expansion of -1 in phi1 0.367 * [taylor]: Taking taylor expansion of phi2 in phi1 0.368 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.368 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.368 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.368 * [taylor]: Taking taylor expansion of -1 in phi2 0.368 * [taylor]: Taking taylor expansion of phi1 in phi2 0.368 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.368 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.368 * [taylor]: Taking taylor expansion of -1 in phi2 0.368 * [taylor]: Taking taylor expansion of phi2 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.369 * [taylor]: Taking taylor expansion of 0 in phi2 0.370 * [taylor]: Taking taylor expansion of 0 in phi2 0.370 * * * [progress]: simplifying candidates 0.371 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (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)) 0.375 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.378 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.386 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.411 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.414 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos 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))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.414 * * * [progress]: adding candidates to table 0.504 * * [progress]: iteration 2 / 4 0.504 * * * [progress]: picking best candidate 0.584 * * * * [pick]: Picked # 0.584 * * * [progress]: localizing error 0.617 * * * [progress]: generating rewritten candidates 0.617 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.618 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.621 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 0.626 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.632 * * * [progress]: generating series expansions 0.632 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.632 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.632 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.633 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.633 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.633 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.633 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.634 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.634 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.634 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.635 * [taylor]: Taking taylor expansion of 0 in phi2 0.635 * [taylor]: Taking taylor expansion of 0 in lambda1 0.635 * [taylor]: Taking taylor expansion of 0 in lambda2 0.635 * [taylor]: Taking taylor expansion of 0 in lambda1 0.635 * [taylor]: Taking taylor expansion of 0 in lambda2 0.635 * [taylor]: Taking taylor expansion of 0 in lambda2 0.635 * [taylor]: Taking taylor expansion of 0 in phi2 0.635 * [taylor]: Taking taylor expansion of 0 in lambda1 0.635 * [taylor]: Taking taylor expansion of 0 in lambda2 0.635 * [taylor]: Taking taylor expansion of 0 in lambda1 0.635 * [taylor]: Taking taylor expansion of 0 in lambda2 0.636 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.636 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.636 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.636 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.637 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.637 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.637 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.638 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.639 * [taylor]: Taking taylor expansion of 0 in phi2 0.639 * [taylor]: Taking taylor expansion of 0 in lambda1 0.639 * [taylor]: Taking taylor expansion of 0 in lambda2 0.639 * [taylor]: Taking taylor expansion of 0 in lambda1 0.639 * [taylor]: Taking taylor expansion of 0 in lambda2 0.639 * [taylor]: Taking taylor expansion of 0 in lambda2 0.639 * [taylor]: Taking taylor expansion of 0 in phi2 0.639 * [taylor]: Taking taylor expansion of 0 in lambda1 0.639 * [taylor]: Taking taylor expansion of 0 in lambda2 0.639 * [taylor]: Taking taylor expansion of 0 in lambda1 0.639 * [taylor]: Taking taylor expansion of 0 in lambda2 0.640 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.640 * [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 lambda2 0.640 * [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 0.641 * [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 0.641 * [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 0.641 * [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 0.642 * [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 phi2 0.642 * [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 lambda1 0.643 * [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 lambda2 0.643 * [taylor]: Taking taylor expansion of 0 in phi2 0.643 * [taylor]: Taking taylor expansion of 0 in lambda1 0.643 * [taylor]: Taking taylor expansion of 0 in lambda2 0.644 * [taylor]: Taking taylor expansion of 0 in lambda1 0.644 * [taylor]: Taking taylor expansion of 0 in lambda2 0.644 * [taylor]: Taking taylor expansion of 0 in lambda2 0.644 * [taylor]: Taking taylor expansion of 0 in phi2 0.644 * [taylor]: Taking taylor expansion of 0 in lambda1 0.644 * [taylor]: Taking taylor expansion of 0 in lambda2 0.644 * [taylor]: Taking taylor expansion of 0 in lambda1 0.644 * [taylor]: Taking taylor expansion of 0 in lambda2 0.644 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.644 * [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 0.645 * [taylor]: Taking 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 0.645 * [taylor]: Taking taylor 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 0.645 * [taylor]: Taking taylor expansion of R in R 0.645 * [taylor]: Taking 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 0.645 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.645 * [taylor]: Taking taylor expansion of R in lambda2 0.645 * [taylor]: Taking 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 0.645 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.645 * [taylor]: Taking taylor expansion of R in lambda1 0.645 * [taylor]: Taking 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 0.645 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.646 * [taylor]: Taking taylor expansion of R in phi2 0.646 * [taylor]: Taking 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 0.646 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.646 * [taylor]: Taking taylor expansion of R in phi1 0.646 * [taylor]: Taking 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 0.646 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.646 * [taylor]: Taking taylor expansion of R in phi1 0.647 * [taylor]: Taking 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 0.647 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.647 * [taylor]: Taking taylor expansion of R in phi2 0.647 * [taylor]: Taking 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 0.647 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.647 * [taylor]: Taking taylor expansion of R in lambda1 0.648 * [taylor]: Taking 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 0.648 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.648 * [taylor]: Taking taylor expansion of R in lambda2 0.648 * [taylor]: Taking 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 0.648 * [taylor]: Taking taylor 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 0.648 * [taylor]: Taking taylor expansion of R in R 0.649 * [taylor]: Taking taylor expansion of 0 in phi2 0.649 * [taylor]: Taking taylor expansion of 0 in lambda1 0.649 * [taylor]: Taking taylor expansion of 0 in lambda2 0.649 * [taylor]: Taking taylor expansion of 0 in R 0.649 * [taylor]: Taking taylor expansion of 0 in lambda1 0.649 * [taylor]: Taking taylor expansion of 0 in lambda2 0.649 * [taylor]: Taking taylor expansion of 0 in R 0.650 * [taylor]: Taking taylor expansion of 0 in lambda2 0.650 * [taylor]: Taking taylor expansion of 0 in R 0.650 * [taylor]: Taking taylor expansion of 0 in R 0.651 * [taylor]: Taking taylor expansion of 0 in phi2 0.651 * [taylor]: Taking taylor expansion of 0 in lambda1 0.651 * [taylor]: Taking taylor expansion of 0 in lambda2 0.651 * [taylor]: Taking taylor expansion of 0 in R 0.651 * [taylor]: Taking taylor expansion of 0 in lambda1 0.651 * [taylor]: Taking taylor expansion of 0 in lambda2 0.651 * [taylor]: Taking taylor expansion of 0 in R 0.651 * [taylor]: Taking taylor expansion of 0 in lambda1 0.651 * [taylor]: Taking taylor expansion of 0 in lambda2 0.651 * [taylor]: Taking taylor expansion of 0 in R 0.651 * [taylor]: Taking taylor expansion of 0 in lambda2 0.651 * [taylor]: Taking taylor expansion of 0 in R 0.651 * [taylor]: Taking taylor expansion of 0 in lambda2 0.651 * [taylor]: Taking taylor expansion of 0 in R 0.652 * [taylor]: Taking taylor expansion of 0 in lambda2 0.652 * [taylor]: Taking taylor expansion of 0 in R 0.652 * [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 0.652 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.652 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.653 * [taylor]: Taking taylor expansion of R in R 0.653 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.653 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.654 * [taylor]: Taking taylor expansion of R in lambda2 0.654 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.654 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.654 * [taylor]: Taking taylor expansion of R in lambda1 0.655 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.655 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.655 * [taylor]: Taking taylor expansion of R in phi2 0.655 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.655 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.656 * [taylor]: Taking taylor expansion of R in phi1 0.656 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.656 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.657 * [taylor]: Taking taylor expansion of R in phi1 0.657 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.657 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.657 * [taylor]: Taking taylor expansion of R in phi2 0.658 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.658 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.658 * [taylor]: Taking taylor expansion of R in lambda1 0.658 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.658 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.659 * [taylor]: Taking taylor expansion of R in lambda2 0.659 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.659 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.660 * [taylor]: Taking taylor expansion of R in R 0.661 * [taylor]: Taking taylor expansion of 0 in phi2 0.661 * [taylor]: Taking taylor expansion of 0 in lambda1 0.661 * [taylor]: Taking taylor expansion of 0 in lambda2 0.661 * [taylor]: Taking taylor expansion of 0 in R 0.661 * [taylor]: Taking taylor expansion of 0 in lambda1 0.661 * [taylor]: Taking taylor expansion of 0 in lambda2 0.661 * [taylor]: Taking taylor expansion of 0 in R 0.662 * [taylor]: Taking taylor expansion of 0 in lambda2 0.662 * [taylor]: Taking taylor expansion of 0 in R 0.662 * [taylor]: Taking taylor expansion of 0 in R 0.663 * [taylor]: Taking taylor expansion of 0 in phi2 0.663 * [taylor]: Taking taylor expansion of 0 in lambda1 0.663 * [taylor]: Taking taylor expansion of 0 in lambda2 0.663 * [taylor]: Taking taylor expansion of 0 in R 0.663 * [taylor]: Taking taylor expansion of 0 in lambda1 0.663 * [taylor]: Taking taylor expansion of 0 in lambda2 0.663 * [taylor]: Taking taylor expansion of 0 in R 0.664 * [taylor]: Taking taylor expansion of 0 in lambda1 0.664 * [taylor]: Taking taylor expansion of 0 in lambda2 0.664 * [taylor]: Taking taylor expansion of 0 in R 0.664 * [taylor]: Taking taylor expansion of 0 in lambda2 0.664 * [taylor]: Taking taylor expansion of 0 in R 0.664 * [taylor]: Taking taylor expansion of 0 in lambda2 0.664 * [taylor]: Taking taylor expansion of 0 in R 0.664 * [taylor]: Taking taylor expansion of 0 in lambda2 0.664 * [taylor]: Taking taylor expansion of 0 in R 0.664 * [taylor]: Taking taylor expansion of 0 in R 0.664 * [taylor]: Taking taylor expansion of 0 in R 0.664 * [taylor]: Taking taylor expansion of 0 in R 0.665 * [taylor]: Taking taylor expansion of 0 in R 0.666 * [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 0.666 * [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 0.666 * [taylor]: Taking taylor expansion of -1 in R 0.666 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.666 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.666 * [taylor]: Taking taylor expansion of R in R 0.667 * [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 0.667 * [taylor]: Taking taylor expansion of -1 in lambda2 0.667 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.667 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.667 * [taylor]: Taking taylor expansion of R in lambda2 0.667 * [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 0.668 * [taylor]: Taking taylor expansion of -1 in lambda1 0.668 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.668 * [taylor]: Taking taylor expansion of R in lambda1 0.668 * [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 0.668 * [taylor]: Taking taylor expansion of -1 in phi2 0.668 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.669 * [taylor]: Taking taylor expansion of R in phi2 0.669 * [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 0.669 * [taylor]: Taking taylor expansion of -1 in phi1 0.669 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.669 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.669 * [taylor]: Taking taylor expansion of R in phi1 0.670 * [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 0.670 * [taylor]: Taking taylor expansion of -1 in phi1 0.670 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.670 * [taylor]: Taking taylor expansion of R in phi1 0.671 * [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 0.671 * [taylor]: Taking taylor expansion of -1 in phi2 0.671 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.671 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.671 * [taylor]: Taking taylor expansion of R in phi2 0.672 * [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 0.672 * [taylor]: Taking taylor expansion of -1 in lambda1 0.672 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.672 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.673 * [taylor]: Taking taylor expansion of R in lambda1 0.673 * [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 0.674 * [taylor]: Taking taylor expansion of -1 in lambda2 0.674 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.674 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.674 * [taylor]: Taking taylor expansion of R in lambda2 0.675 * [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 0.675 * [taylor]: Taking taylor expansion of -1 in R 0.675 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 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 0.675 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.675 * [taylor]: Taking taylor expansion of R in R 0.677 * [taylor]: Taking taylor expansion of 0 in phi2 0.677 * [taylor]: Taking taylor expansion of 0 in lambda1 0.677 * [taylor]: Taking taylor expansion of 0 in lambda2 0.677 * [taylor]: Taking taylor expansion of 0 in R 0.678 * [taylor]: Taking taylor expansion of 0 in lambda1 0.678 * [taylor]: Taking taylor expansion of 0 in lambda2 0.678 * [taylor]: Taking taylor expansion of 0 in R 0.679 * [taylor]: Taking taylor expansion of 0 in lambda2 0.679 * [taylor]: Taking taylor expansion of 0 in R 0.679 * [taylor]: Taking taylor expansion of 0 in R 0.681 * [taylor]: Taking taylor expansion of 0 in phi2 0.681 * [taylor]: Taking taylor expansion of 0 in lambda1 0.681 * [taylor]: Taking taylor expansion of 0 in lambda2 0.681 * [taylor]: Taking taylor expansion of 0 in R 0.681 * [taylor]: Taking taylor expansion of 0 in lambda1 0.681 * [taylor]: Taking taylor expansion of 0 in lambda2 0.681 * [taylor]: Taking taylor expansion of 0 in R 0.682 * [taylor]: Taking taylor expansion of 0 in lambda1 0.682 * [taylor]: Taking taylor expansion of 0 in lambda2 0.682 * [taylor]: Taking taylor expansion of 0 in R 0.682 * [taylor]: Taking taylor expansion of 0 in lambda2 0.682 * [taylor]: Taking taylor expansion of 0 in R 0.682 * [taylor]: Taking taylor expansion of 0 in lambda2 0.682 * [taylor]: Taking taylor expansion of 0 in R 0.683 * [taylor]: Taking taylor expansion of 0 in lambda2 0.683 * [taylor]: Taking taylor expansion of 0 in R 0.683 * [taylor]: Taking taylor expansion of 0 in R 0.683 * [taylor]: Taking taylor expansion of 0 in R 0.683 * [taylor]: Taking taylor expansion of 0 in R 0.684 * [taylor]: Taking taylor expansion of 0 in R 0.685 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 0.685 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 0.685 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.685 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.685 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.685 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.685 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.685 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.685 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.685 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.685 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.685 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.685 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.685 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.685 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.685 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.685 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.686 * [taylor]: Taking taylor expansion of 0 in lambda2 0.686 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.686 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.686 * [taylor]: Taking taylor expansion of 0 in lambda2 0.687 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 0.687 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 0.687 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.687 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.687 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.688 * [taylor]: Taking taylor expansion of 0 in lambda2 0.688 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.688 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.688 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.688 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.688 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.688 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.688 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.688 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.688 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.688 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.688 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.688 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.688 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.688 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.688 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.688 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.688 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.689 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.689 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.689 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.689 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.689 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.689 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.689 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.691 * [taylor]: Taking taylor expansion of 0 in lambda2 0.692 * [taylor]: Taking taylor expansion of 0 in lambda2 0.693 * [taylor]: Taking taylor expansion of 0 in lambda2 0.693 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 0.693 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.693 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.693 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.693 * [taylor]: Taking taylor expansion of -1 in lambda2 0.693 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.693 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.693 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.693 * [taylor]: Taking taylor expansion of -1 in lambda2 0.693 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.693 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.693 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.693 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.693 * [taylor]: Taking taylor expansion of -1 in lambda1 0.693 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.693 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.693 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.693 * [taylor]: Taking taylor expansion of -1 in lambda1 0.693 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.693 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.693 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.693 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.693 * [taylor]: Taking taylor expansion of -1 in lambda1 0.694 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.694 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.694 * [taylor]: Taking taylor expansion of -1 in lambda1 0.694 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.694 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.694 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.694 * [taylor]: Taking taylor expansion of -1 in lambda2 0.694 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.694 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.694 * [taylor]: Taking taylor expansion of -1 in lambda2 0.694 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.695 * [taylor]: Taking taylor expansion of 0 in lambda2 0.695 * [taylor]: Taking taylor expansion of 0 in lambda2 0.696 * [taylor]: Taking taylor expansion of 0 in lambda2 0.696 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.696 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.696 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.696 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.696 * [taylor]: Taking taylor expansion of phi1 in phi2 0.696 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.696 * [taylor]: Taking taylor expansion of phi2 in phi2 0.696 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.696 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.696 * [taylor]: Taking taylor expansion of phi1 in phi1 0.696 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.696 * [taylor]: Taking taylor expansion of phi2 in phi1 0.696 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.696 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.697 * [taylor]: Taking taylor expansion of phi1 in phi1 0.697 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.697 * [taylor]: Taking taylor expansion of phi2 in phi1 0.697 * [taylor]: Taking taylor expansion of 0 in phi2 0.697 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.697 * [taylor]: Taking taylor expansion of phi2 in phi2 0.697 * [taylor]: Taking taylor expansion of 0 in phi2 0.698 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.698 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.698 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.698 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.698 * [taylor]: Taking taylor expansion of phi2 in phi2 0.699 * [taylor]: Taking taylor expansion of 0 in phi2 0.699 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.699 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.699 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.699 * [taylor]: Taking taylor expansion of phi1 in phi2 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.699 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.699 * [taylor]: Taking taylor expansion of phi2 in phi2 0.699 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.699 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.699 * [taylor]: Taking taylor expansion of phi1 in phi1 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.699 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.699 * [taylor]: Taking taylor expansion of phi2 in phi1 0.699 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.699 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.699 * [taylor]: Taking taylor expansion of phi1 in phi1 0.699 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.699 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.699 * [taylor]: Taking taylor expansion of phi2 in phi1 0.700 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.700 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.700 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.700 * [taylor]: Taking taylor expansion of phi1 in phi2 0.700 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.700 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.700 * [taylor]: Taking taylor expansion of phi2 in phi2 0.700 * [taylor]: Taking taylor expansion of 0 in phi2 0.701 * [taylor]: Taking taylor expansion of 0 in phi2 0.702 * [taylor]: Taking taylor expansion of 0 in phi2 0.702 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.702 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.702 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.702 * [taylor]: Taking taylor expansion of -1 in phi2 0.702 * [taylor]: Taking taylor expansion of phi1 in phi2 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.702 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.702 * [taylor]: Taking taylor expansion of -1 in phi2 0.702 * [taylor]: Taking taylor expansion of phi2 in phi2 0.702 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.702 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.702 * [taylor]: Taking taylor expansion of -1 in phi1 0.702 * [taylor]: Taking taylor expansion of phi1 in phi1 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.702 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.702 * [taylor]: Taking taylor expansion of -1 in phi1 0.702 * [taylor]: Taking taylor expansion of phi2 in phi1 0.702 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.702 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.703 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.703 * [taylor]: Taking taylor expansion of -1 in phi1 0.703 * [taylor]: Taking taylor expansion of phi1 in phi1 0.703 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.703 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.703 * [taylor]: Taking taylor expansion of -1 in phi1 0.703 * [taylor]: Taking taylor expansion of phi2 in phi1 0.703 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.703 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.703 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.703 * [taylor]: Taking taylor expansion of -1 in phi2 0.703 * [taylor]: Taking taylor expansion of phi1 in phi2 0.703 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.703 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.703 * [taylor]: Taking taylor expansion of -1 in phi2 0.703 * [taylor]: Taking taylor expansion of phi2 in phi2 0.704 * [taylor]: Taking taylor expansion of 0 in phi2 0.704 * [taylor]: Taking taylor expansion of 0 in phi2 0.705 * [taylor]: Taking taylor expansion of 0 in phi2 0.705 * * * [progress]: simplifying candidates 0.706 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.711 * * [simplify]: iteration 0 : 260 enodes (cost 929 ) 0.715 * * [simplify]: iteration 1 : 831 enodes (cost 774 ) 0.728 * * [simplify]: iteration 2 : 1930 enodes (cost 774 ) 0.747 * * [simplify]: iteration 3 : 3056 enodes (cost 774 ) 0.774 * * [simplify]: iteration 4 : 5001 enodes (cost 774 ) 0.778 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.778 * * * [progress]: adding candidates to table 0.866 * * [progress]: iteration 3 / 4 0.866 * * * [progress]: picking best candidate 0.962 * * * * [pick]: Picked # 0.962 * * * [progress]: localizing error 0.996 * * * [progress]: generating rewritten candidates 0.996 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 0.997 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.999 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.004 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 1.010 * * * [progress]: generating series expansions 1.010 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.010 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.010 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.011 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.011 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.011 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.011 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.012 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.012 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.012 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in phi2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda1 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda1 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in phi2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda1 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda1 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.014 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in phi2 1.017 * [taylor]: Taking taylor expansion of 0 in lambda1 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in lambda1 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in phi2 1.017 * [taylor]: Taking taylor expansion of 0 in lambda1 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.017 * [taylor]: Taking taylor expansion of 0 in lambda1 1.017 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.018 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.018 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.019 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.021 * [taylor]: Taking taylor expansion of 0 in phi2 1.021 * [taylor]: Taking taylor expansion of 0 in lambda1 1.021 * [taylor]: Taking taylor expansion of 0 in lambda2 1.021 * [taylor]: Taking taylor expansion of 0 in lambda1 1.022 * [taylor]: Taking taylor expansion of 0 in lambda2 1.022 * [taylor]: Taking taylor expansion of 0 in lambda2 1.022 * [taylor]: Taking taylor expansion of 0 in phi2 1.022 * [taylor]: Taking taylor expansion of 0 in lambda1 1.022 * [taylor]: Taking taylor expansion of 0 in lambda2 1.022 * [taylor]: Taking taylor expansion of 0 in lambda1 1.022 * [taylor]: Taking taylor expansion of 0 in lambda2 1.022 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 1.022 * [approximate]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.022 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.022 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.025 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.025 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.025 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.025 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.026 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.026 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.026 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.026 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.027 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.027 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.027 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.028 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.028 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.028 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.030 * [taylor]: Taking taylor expansion of 0 in phi2 1.030 * [taylor]: Taking taylor expansion of 0 in lambda1 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [taylor]: Taking taylor expansion of 0 in lambda1 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [taylor]: Taking taylor expansion of 0 in phi2 1.032 * [taylor]: Taking taylor expansion of 0 in lambda1 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [taylor]: Taking taylor expansion of 0 in lambda1 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.033 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.033 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.033 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.034 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.034 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.035 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.035 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.036 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.036 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.037 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.037 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.037 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.037 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.038 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.038 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in phi2 1.040 * [taylor]: Taking taylor expansion of 0 in lambda1 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in lambda1 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.041 * [taylor]: Taking taylor expansion of 0 in lambda2 1.042 * [taylor]: Taking taylor expansion of 0 in phi2 1.042 * [taylor]: Taking taylor expansion of 0 in lambda1 1.042 * [taylor]: Taking taylor expansion of 0 in lambda2 1.042 * [taylor]: Taking taylor expansion of 0 in lambda1 1.042 * [taylor]: Taking taylor expansion of 0 in lambda2 1.043 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.043 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.043 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.044 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.044 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.044 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.045 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.045 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.046 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.046 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.046 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.046 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.047 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.047 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.048 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.048 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.049 * [taylor]: Taking taylor expansion of 0 in phi2 1.049 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.052 * [taylor]: Taking taylor expansion of 0 in phi2 1.052 * [taylor]: Taking taylor expansion of 0 in lambda1 1.052 * [taylor]: Taking taylor expansion of 0 in lambda2 1.052 * [taylor]: Taking taylor expansion of 0 in lambda1 1.052 * [taylor]: Taking taylor expansion of 0 in lambda2 1.052 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.053 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.053 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.053 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.053 * [taylor]: Taking taylor expansion of R in R 1.053 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.053 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.053 * [taylor]: Taking taylor expansion of R in lambda2 1.053 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.053 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.054 * [taylor]: Taking taylor expansion of R in lambda1 1.054 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.054 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.054 * [taylor]: Taking taylor expansion of R in phi2 1.054 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.054 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.054 * [taylor]: Taking taylor expansion of R in phi1 1.054 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.054 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.055 * [taylor]: Taking taylor expansion of R in phi1 1.055 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.055 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.055 * [taylor]: Taking taylor expansion of R in phi2 1.055 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.055 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.056 * [taylor]: Taking taylor expansion of R in lambda1 1.056 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.056 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.056 * [taylor]: Taking taylor expansion of R in lambda2 1.056 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.056 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.057 * [taylor]: Taking taylor expansion of R in R 1.057 * [taylor]: Taking taylor expansion of 0 in phi2 1.057 * [taylor]: Taking taylor expansion of 0 in lambda1 1.057 * [taylor]: Taking taylor expansion of 0 in lambda2 1.057 * [taylor]: Taking taylor expansion of 0 in R 1.058 * [taylor]: Taking taylor expansion of 0 in lambda1 1.058 * [taylor]: Taking taylor expansion of 0 in lambda2 1.058 * [taylor]: Taking taylor expansion of 0 in R 1.058 * [taylor]: Taking taylor expansion of 0 in lambda2 1.058 * [taylor]: Taking taylor expansion of 0 in R 1.058 * [taylor]: Taking taylor expansion of 0 in R 1.059 * [taylor]: Taking taylor expansion of 0 in phi2 1.059 * [taylor]: Taking taylor expansion of 0 in lambda1 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of 0 in R 1.059 * [taylor]: Taking taylor expansion of 0 in lambda1 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of 0 in R 1.060 * [taylor]: Taking taylor expansion of 0 in lambda1 1.060 * [taylor]: Taking taylor expansion of 0 in lambda2 1.060 * [taylor]: Taking taylor expansion of 0 in R 1.060 * [taylor]: Taking taylor expansion of 0 in lambda2 1.060 * [taylor]: Taking taylor expansion of 0 in R 1.060 * [taylor]: Taking taylor expansion of 0 in lambda2 1.060 * [taylor]: Taking taylor expansion of 0 in R 1.060 * [taylor]: Taking taylor expansion of 0 in lambda2 1.060 * [taylor]: Taking taylor expansion of 0 in R 1.061 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.061 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.061 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.061 * [taylor]: Taking taylor expansion of R in R 1.061 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.061 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.062 * [taylor]: Taking taylor expansion of R in lambda2 1.062 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.062 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.063 * [taylor]: Taking taylor expansion of R in lambda1 1.063 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.063 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.063 * [taylor]: Taking taylor expansion of R in phi2 1.064 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.064 * [taylor]: Taking taylor expansion of R in phi1 1.064 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.064 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.065 * [taylor]: Taking taylor expansion of R in phi1 1.065 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.065 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.066 * [taylor]: Taking taylor expansion of R in phi2 1.066 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.066 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.066 * [taylor]: Taking taylor expansion of R in lambda1 1.067 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.067 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.067 * [taylor]: Taking taylor expansion of R in lambda2 1.067 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.067 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.068 * [taylor]: Taking taylor expansion of R in R 1.069 * [taylor]: Taking taylor expansion of 0 in phi2 1.069 * [taylor]: Taking taylor expansion of 0 in lambda1 1.069 * [taylor]: Taking taylor expansion of 0 in lambda2 1.069 * [taylor]: Taking taylor expansion of 0 in R 1.069 * [taylor]: Taking taylor expansion of 0 in lambda1 1.069 * [taylor]: Taking taylor expansion of 0 in lambda2 1.069 * [taylor]: Taking taylor expansion of 0 in R 1.070 * [taylor]: Taking taylor expansion of 0 in lambda2 1.070 * [taylor]: Taking taylor expansion of 0 in R 1.070 * [taylor]: Taking taylor expansion of 0 in R 1.071 * [taylor]: Taking taylor expansion of 0 in phi2 1.071 * [taylor]: Taking taylor expansion of 0 in lambda1 1.071 * [taylor]: Taking taylor expansion of 0 in lambda2 1.071 * [taylor]: Taking taylor expansion of 0 in R 1.071 * [taylor]: Taking taylor expansion of 0 in lambda1 1.071 * [taylor]: Taking taylor expansion of 0 in lambda2 1.071 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in lambda1 1.072 * [taylor]: Taking taylor expansion of 0 in lambda2 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in lambda2 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in lambda2 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in lambda2 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.072 * [taylor]: Taking taylor expansion of 0 in R 1.073 * [taylor]: Taking taylor expansion of 0 in R 1.074 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.074 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.074 * [taylor]: Taking taylor expansion of -1 in R 1.074 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.074 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.075 * [taylor]: Taking taylor expansion of R in R 1.075 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.075 * [taylor]: Taking taylor expansion of -1 in lambda2 1.075 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.075 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.075 * [taylor]: Taking taylor expansion of R in lambda2 1.076 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.076 * [taylor]: Taking taylor expansion of -1 in lambda1 1.076 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.076 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.076 * [taylor]: Taking taylor expansion of R in lambda1 1.076 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.077 * [taylor]: Taking taylor expansion of -1 in phi2 1.077 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.077 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.077 * [taylor]: Taking taylor expansion of R in phi2 1.077 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.077 * [taylor]: Taking taylor expansion of -1 in phi1 1.077 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.077 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.078 * [taylor]: Taking taylor expansion of R in phi1 1.078 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.078 * [taylor]: Taking taylor expansion of -1 in phi1 1.078 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.078 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.078 * [taylor]: Taking taylor expansion of R in phi1 1.079 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.079 * [taylor]: Taking taylor expansion of -1 in phi2 1.079 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.079 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.080 * [taylor]: Taking taylor expansion of R in phi2 1.080 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.080 * [taylor]: Taking taylor expansion of -1 in lambda1 1.080 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.080 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.081 * [taylor]: Taking taylor expansion of R in lambda1 1.081 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.081 * [taylor]: Taking taylor expansion of -1 in lambda2 1.081 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.081 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.082 * [taylor]: Taking taylor expansion of R in lambda2 1.082 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.083 * [taylor]: Taking taylor expansion of -1 in R 1.083 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.083 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.083 * [taylor]: Taking taylor expansion of R in R 1.085 * [taylor]: Taking taylor expansion of 0 in phi2 1.085 * [taylor]: Taking taylor expansion of 0 in lambda1 1.085 * [taylor]: Taking taylor expansion of 0 in lambda2 1.085 * [taylor]: Taking taylor expansion of 0 in R 1.086 * [taylor]: Taking taylor expansion of 0 in lambda1 1.086 * [taylor]: Taking taylor expansion of 0 in lambda2 1.086 * [taylor]: Taking taylor expansion of 0 in R 1.087 * [taylor]: Taking taylor expansion of 0 in lambda2 1.087 * [taylor]: Taking taylor expansion of 0 in R 1.087 * [taylor]: Taking taylor expansion of 0 in R 1.089 * [taylor]: Taking taylor expansion of 0 in phi2 1.089 * [taylor]: Taking taylor expansion of 0 in lambda1 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.089 * [taylor]: Taking taylor expansion of 0 in lambda1 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.090 * [taylor]: Taking taylor expansion of 0 in lambda1 1.090 * [taylor]: Taking taylor expansion of 0 in lambda2 1.090 * [taylor]: Taking taylor expansion of 0 in R 1.090 * [taylor]: Taking taylor expansion of 0 in lambda2 1.090 * [taylor]: Taking taylor expansion of 0 in R 1.090 * [taylor]: Taking taylor expansion of 0 in lambda2 1.090 * [taylor]: Taking taylor expansion of 0 in R 1.091 * [taylor]: Taking taylor expansion of 0 in lambda2 1.091 * [taylor]: Taking taylor expansion of 0 in R 1.091 * [taylor]: Taking taylor expansion of 0 in R 1.091 * [taylor]: Taking taylor expansion of 0 in R 1.091 * [taylor]: Taking taylor expansion of 0 in R 1.092 * [taylor]: Taking taylor expansion of 0 in R 1.093 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2 2) 1.093 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.093 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.093 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.093 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.093 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.093 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.093 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.093 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.093 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.093 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.093 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.093 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.093 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.093 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.093 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.093 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.093 * [taylor]: Taking taylor expansion of 0 in lambda2 1.094 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.094 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.094 * [taylor]: Taking taylor expansion of 0 in lambda2 1.095 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.095 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.096 * [taylor]: Taking taylor expansion of 0 in lambda2 1.096 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.096 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.096 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.096 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.096 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.096 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.096 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.098 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.098 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.098 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.098 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.098 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.098 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.098 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.098 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.098 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.100 * [taylor]: Taking taylor expansion of 0 in lambda2 1.100 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.100 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.100 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.100 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.100 * [taylor]: Taking taylor expansion of -1 in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.101 * [taylor]: Taking taylor expansion of -1 in lambda2 1.101 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.101 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.101 * [taylor]: Taking taylor expansion of -1 in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.101 * [taylor]: Taking taylor expansion of -1 in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.101 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.101 * [taylor]: Taking taylor expansion of -1 in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.101 * [taylor]: Taking taylor expansion of -1 in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.101 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.101 * [taylor]: Taking taylor expansion of -1 in lambda2 1.101 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.101 * [taylor]: Taking taylor expansion of -1 in lambda2 1.101 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.102 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.104 * * * [progress]: simplifying candidates 1.105 * [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 (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 (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log 1) (log (acos (+ (* (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))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (acos (+ (* (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))))))) (log (acos (+ (* (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)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (exp (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))))))) (log R)) (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (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))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.110 * * [simplify]: iteration 0 : 229 enodes (cost 1302 ) 1.113 * * [simplify]: iteration 1 : 620 enodes (cost 1089 ) 1.123 * * [simplify]: iteration 2 : 1439 enodes (cost 1074 ) 1.139 * * [simplify]: iteration 3 : 2405 enodes (cost 1072 ) 1.164 * * [simplify]: iteration 4 : 5001 enodes (cost 1072 ) 1.169 * [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))))))) (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 2) (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))))))) (* 2 (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 0 (log (acos (+ (* (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))))))) (log (log (acos 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lambda2)))))))) (* (sqrt 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) (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)))))) (cbrt R)) (cbrt R)) (* (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)))))))) (* 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 (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))))))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (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)))))) (log (acos (+ (* (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))))))) (log (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))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.169 * * * [progress]: adding candidates to table 1.256 * * [progress]: iteration 4 / 4 1.256 * * * [progress]: picking best candidate 1.338 * * * * [pick]: Picked # 1.338 * * * [progress]: localizing error 1.373 * * * [progress]: generating rewritten candidates 1.373 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 1.376 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.377 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 1.382 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.386 * * * [progress]: generating series expansions 1.387 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 1.387 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.387 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.387 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.387 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.387 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.387 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.387 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.387 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.387 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.387 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.387 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.387 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.387 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.387 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.387 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.387 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.387 * [taylor]: Taking taylor expansion of 0 in lambda2 1.387 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.387 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.388 * [taylor]: Taking taylor expansion of 0 in lambda2 1.388 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 1.388 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.388 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.388 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.388 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.389 * [taylor]: Taking taylor expansion of 0 in lambda2 1.389 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.389 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.389 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.389 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.390 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.390 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.390 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.390 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.390 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.390 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.390 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.390 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.390 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.390 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.390 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.390 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.390 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.390 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.390 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.390 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.390 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.390 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.390 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.390 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.390 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.390 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.390 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.390 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.390 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.391 * [taylor]: Taking taylor expansion of 0 in lambda2 1.391 * [taylor]: Taking taylor expansion of 0 in lambda2 1.392 * [taylor]: Taking taylor expansion of 0 in lambda2 1.393 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.393 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.393 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.393 * [taylor]: Taking taylor expansion of -1 in lambda2 1.393 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.393 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.393 * [taylor]: Taking taylor expansion of -1 in lambda2 1.393 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.393 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.393 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.393 * [taylor]: Taking taylor expansion of -1 in lambda1 1.393 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.393 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.393 * [taylor]: Taking taylor expansion of -1 in lambda1 1.393 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.393 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.393 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.393 * [taylor]: Taking taylor expansion of -1 in lambda1 1.393 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.393 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.393 * [taylor]: Taking taylor expansion of -1 in lambda1 1.393 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.393 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.393 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.393 * [taylor]: Taking taylor expansion of -1 in lambda2 1.393 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.394 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.394 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.394 * [taylor]: Taking taylor expansion of -1 in lambda2 1.394 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.394 * [taylor]: Taking taylor expansion of 0 in lambda2 1.395 * [taylor]: Taking taylor expansion of 0 in lambda2 1.396 * [taylor]: Taking taylor expansion of 0 in lambda2 1.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.396 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.398 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.398 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.398 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.399 * [taylor]: Taking taylor expansion of 0 in phi2 1.399 * [taylor]: Taking taylor expansion of 0 in lambda1 1.399 * [taylor]: Taking taylor expansion of 0 in lambda2 1.399 * [taylor]: Taking taylor expansion of 0 in lambda1 1.399 * [taylor]: Taking taylor expansion of 0 in lambda2 1.399 * [taylor]: Taking taylor expansion of 0 in lambda2 1.399 * [taylor]: Taking taylor expansion of 0 in phi2 1.399 * [taylor]: Taking taylor expansion of 0 in lambda1 1.399 * [taylor]: Taking taylor expansion of 0 in lambda2 1.399 * [taylor]: Taking taylor expansion of 0 in lambda1 1.399 * [taylor]: Taking taylor expansion of 0 in lambda2 1.400 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.403 * [taylor]: Taking taylor expansion of 0 in phi2 1.403 * [taylor]: Taking taylor expansion of 0 in lambda1 1.403 * [taylor]: Taking taylor expansion of 0 in lambda2 1.403 * [taylor]: Taking taylor expansion of 0 in lambda1 1.403 * [taylor]: Taking taylor expansion of 0 in lambda2 1.403 * [taylor]: Taking taylor expansion of 0 in lambda2 1.403 * [taylor]: Taking taylor expansion of 0 in phi2 1.403 * [taylor]: Taking taylor expansion of 0 in lambda1 1.403 * [taylor]: Taking taylor expansion of 0 in lambda2 1.403 * [taylor]: Taking taylor expansion of 0 in lambda1 1.403 * [taylor]: Taking taylor expansion of 0 in lambda2 1.404 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.404 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.404 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.405 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.405 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.407 * [taylor]: Taking taylor expansion of 0 in phi2 1.407 * [taylor]: Taking taylor expansion of 0 in lambda1 1.407 * [taylor]: Taking taylor expansion of 0 in lambda2 1.407 * [taylor]: Taking taylor expansion of 0 in lambda1 1.407 * [taylor]: Taking taylor expansion of 0 in lambda2 1.408 * [taylor]: Taking taylor expansion of 0 in lambda2 1.408 * [taylor]: Taking taylor expansion of 0 in phi2 1.408 * [taylor]: Taking taylor expansion of 0 in lambda1 1.408 * [taylor]: Taking taylor expansion of 0 in lambda2 1.408 * [taylor]: Taking taylor expansion of 0 in lambda1 1.408 * [taylor]: Taking taylor expansion of 0 in lambda2 1.408 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 1.408 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 1.408 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 1.408 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.408 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.408 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.408 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.408 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.409 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 1.409 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.409 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.409 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.409 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.409 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.409 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 1.409 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.409 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.409 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.409 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.409 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.410 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 1.410 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.410 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.410 * [taylor]: Taking taylor expansion of 0 in lambda2 1.411 * [taylor]: Taking taylor expansion of (neg (* 1/2 (pow (sin lambda2) 3))) in lambda2 1.411 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 1.411 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.411 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 1.411 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.411 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.412 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 1.412 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 1.412 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.412 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.412 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.412 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.412 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.412 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.412 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.413 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 1.413 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.413 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.413 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.413 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.413 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.413 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.413 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.413 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 1.413 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.413 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.413 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.413 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.413 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.413 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.413 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.414 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 1.414 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 1.414 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.414 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.414 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.414 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 1.414 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.414 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.414 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.415 * [taylor]: Taking taylor expansion of 0 in lambda2 1.416 * [taylor]: Taking taylor expansion of 0 in lambda2 1.418 * [taylor]: Taking taylor expansion of 0 in lambda2 1.418 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 1.418 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 1.418 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.418 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.418 * [taylor]: Taking taylor expansion of -1 in lambda2 1.418 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.418 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.418 * [taylor]: Taking taylor expansion of -1 in lambda2 1.418 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.418 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 1.418 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.418 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.418 * [taylor]: Taking taylor expansion of -1 in lambda1 1.418 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.418 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.419 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.419 * [taylor]: Taking taylor expansion of -1 in lambda1 1.419 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.419 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 1.419 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.419 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.419 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.419 * [taylor]: Taking taylor expansion of -1 in lambda1 1.419 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.419 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.419 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.419 * [taylor]: Taking taylor expansion of -1 in lambda1 1.419 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.419 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 1.419 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 1.419 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.419 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.419 * [taylor]: Taking taylor expansion of -1 in lambda2 1.420 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.420 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 1.420 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.420 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.420 * [taylor]: Taking taylor expansion of -1 in lambda2 1.420 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.421 * [taylor]: Taking taylor expansion of 0 in lambda2 1.422 * [taylor]: Taking taylor expansion of 0 in lambda2 1.424 * [taylor]: Taking taylor expansion of 0 in lambda2 1.424 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.424 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.424 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.424 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.424 * [taylor]: Taking taylor expansion of R in R 1.425 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.425 * [taylor]: Taking taylor expansion of R in lambda2 1.425 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.425 * [taylor]: Taking taylor expansion of R in lambda1 1.425 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.425 * [taylor]: Taking taylor expansion of R in phi2 1.425 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.425 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.426 * [taylor]: Taking taylor expansion of R in phi1 1.426 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.426 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.426 * [taylor]: Taking taylor expansion of R in phi1 1.426 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.426 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.427 * [taylor]: Taking taylor expansion of R in phi2 1.427 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.427 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.427 * [taylor]: Taking taylor expansion of R in lambda1 1.427 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.427 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.428 * [taylor]: Taking taylor expansion of R in lambda2 1.428 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.428 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.428 * [taylor]: Taking taylor expansion of R in R 1.429 * [taylor]: Taking taylor expansion of 0 in phi2 1.429 * [taylor]: Taking taylor expansion of 0 in lambda1 1.429 * [taylor]: Taking taylor expansion of 0 in lambda2 1.429 * [taylor]: Taking taylor expansion of 0 in R 1.429 * [taylor]: Taking taylor expansion of 0 in lambda1 1.429 * [taylor]: Taking taylor expansion of 0 in lambda2 1.429 * [taylor]: Taking taylor expansion of 0 in R 1.429 * [taylor]: Taking taylor expansion of 0 in lambda2 1.429 * [taylor]: Taking taylor expansion of 0 in R 1.430 * [taylor]: Taking taylor expansion of 0 in R 1.430 * [taylor]: Taking taylor expansion of 0 in phi2 1.431 * [taylor]: Taking taylor expansion of 0 in lambda1 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.431 * [taylor]: Taking taylor expansion of 0 in R 1.431 * [taylor]: Taking taylor expansion of 0 in lambda1 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.431 * [taylor]: Taking taylor expansion of 0 in R 1.431 * [taylor]: Taking taylor expansion of 0 in lambda1 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.431 * [taylor]: Taking taylor expansion of 0 in R 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.431 * [taylor]: Taking taylor expansion of 0 in R 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.431 * [taylor]: Taking taylor expansion of 0 in R 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.431 * [taylor]: Taking taylor expansion of 0 in R 1.432 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.432 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.432 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.432 * [taylor]: Taking taylor expansion of R in R 1.433 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.433 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.433 * [taylor]: Taking taylor expansion of R in lambda2 1.434 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.434 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.434 * [taylor]: Taking taylor expansion of R in lambda1 1.434 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.434 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.438 * [taylor]: Taking taylor expansion of R in phi2 1.438 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.438 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.438 * [taylor]: Taking taylor expansion of R in phi1 1.439 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.439 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.439 * [taylor]: Taking taylor expansion of R in phi1 1.440 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.440 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.440 * [taylor]: Taking taylor expansion of R in phi2 1.440 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.440 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.441 * [taylor]: Taking taylor expansion of R in lambda1 1.441 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.441 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.441 * [taylor]: Taking taylor expansion of R in lambda2 1.442 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.442 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.442 * [taylor]: Taking taylor expansion of R in R 1.443 * [taylor]: Taking taylor expansion of 0 in phi2 1.443 * [taylor]: Taking taylor expansion of 0 in lambda1 1.443 * [taylor]: Taking taylor expansion of 0 in lambda2 1.443 * [taylor]: Taking taylor expansion of 0 in R 1.444 * [taylor]: Taking taylor expansion of 0 in lambda1 1.444 * [taylor]: Taking taylor expansion of 0 in lambda2 1.444 * [taylor]: Taking taylor expansion of 0 in R 1.444 * [taylor]: Taking taylor expansion of 0 in lambda2 1.444 * [taylor]: Taking taylor expansion of 0 in R 1.445 * [taylor]: Taking taylor expansion of 0 in R 1.445 * [taylor]: Taking taylor expansion of 0 in phi2 1.446 * [taylor]: Taking taylor expansion of 0 in lambda1 1.446 * [taylor]: Taking taylor expansion of 0 in lambda2 1.446 * [taylor]: Taking taylor expansion of 0 in R 1.446 * [taylor]: Taking taylor expansion of 0 in lambda1 1.446 * [taylor]: Taking taylor expansion of 0 in lambda2 1.446 * [taylor]: Taking taylor expansion of 0 in R 1.446 * [taylor]: Taking taylor expansion of 0 in lambda1 1.446 * [taylor]: Taking taylor expansion of 0 in lambda2 1.446 * [taylor]: Taking taylor expansion of 0 in R 1.446 * [taylor]: Taking taylor expansion of 0 in lambda2 1.446 * [taylor]: Taking taylor expansion of 0 in R 1.446 * [taylor]: Taking taylor expansion of 0 in lambda2 1.446 * [taylor]: Taking taylor expansion of 0 in R 1.447 * [taylor]: Taking taylor expansion of 0 in lambda2 1.447 * [taylor]: Taking taylor expansion of 0 in R 1.447 * [taylor]: Taking taylor expansion of 0 in R 1.447 * [taylor]: Taking taylor expansion of 0 in R 1.447 * [taylor]: Taking taylor expansion of 0 in R 1.447 * [taylor]: Taking taylor expansion of 0 in R 1.449 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.449 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.449 * [taylor]: Taking taylor expansion of -1 in R 1.449 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.449 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.449 * [taylor]: Taking taylor expansion of R in R 1.450 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.450 * [taylor]: Taking taylor expansion of -1 in lambda2 1.450 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.450 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.450 * [taylor]: Taking taylor expansion of R in lambda2 1.450 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.450 * [taylor]: Taking taylor expansion of -1 in lambda1 1.450 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.450 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.451 * [taylor]: Taking taylor expansion of R in lambda1 1.451 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.451 * [taylor]: Taking taylor expansion of -1 in phi2 1.451 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.451 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.451 * [taylor]: Taking taylor expansion of R in phi2 1.452 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.452 * [taylor]: Taking taylor expansion of -1 in phi1 1.452 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.452 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.452 * [taylor]: Taking taylor expansion of R in phi1 1.453 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.453 * [taylor]: Taking taylor expansion of -1 in phi1 1.453 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.453 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.453 * [taylor]: Taking taylor expansion of R in phi1 1.454 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.454 * [taylor]: Taking taylor expansion of -1 in phi2 1.454 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.454 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.454 * [taylor]: Taking taylor expansion of R in phi2 1.455 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.455 * [taylor]: Taking taylor expansion of -1 in lambda1 1.455 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.455 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.455 * [taylor]: Taking taylor expansion of R in lambda1 1.456 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.456 * [taylor]: Taking taylor expansion of -1 in lambda2 1.456 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.456 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.456 * [taylor]: Taking taylor expansion of R in lambda2 1.457 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.457 * [taylor]: Taking taylor expansion of -1 in R 1.457 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.457 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.457 * [taylor]: Taking taylor expansion of R in R 1.459 * [taylor]: Taking taylor expansion of 0 in phi2 1.459 * [taylor]: Taking taylor expansion of 0 in lambda1 1.459 * [taylor]: Taking taylor expansion of 0 in lambda2 1.460 * [taylor]: Taking taylor expansion of 0 in R 1.460 * [taylor]: Taking taylor expansion of 0 in lambda1 1.460 * [taylor]: Taking taylor expansion of 0 in lambda2 1.460 * [taylor]: Taking taylor expansion of 0 in R 1.461 * [taylor]: Taking taylor expansion of 0 in lambda2 1.461 * [taylor]: Taking taylor expansion of 0 in R 1.462 * [taylor]: Taking taylor expansion of 0 in R 1.463 * [taylor]: Taking taylor expansion of 0 in phi2 1.463 * [taylor]: Taking taylor expansion of 0 in lambda1 1.463 * [taylor]: Taking taylor expansion of 0 in lambda2 1.463 * [taylor]: Taking taylor expansion of 0 in R 1.463 * [taylor]: Taking taylor expansion of 0 in lambda1 1.463 * [taylor]: Taking taylor expansion of 0 in lambda2 1.463 * [taylor]: Taking taylor expansion of 0 in R 1.464 * [taylor]: Taking taylor expansion of 0 in lambda1 1.464 * [taylor]: Taking taylor expansion of 0 in lambda2 1.464 * [taylor]: Taking taylor expansion of 0 in R 1.464 * [taylor]: Taking taylor expansion of 0 in lambda2 1.464 * [taylor]: Taking taylor expansion of 0 in R 1.464 * [taylor]: Taking taylor expansion of 0 in lambda2 1.464 * [taylor]: Taking taylor expansion of 0 in R 1.465 * [taylor]: Taking taylor expansion of 0 in lambda2 1.465 * [taylor]: Taking taylor expansion of 0 in R 1.465 * [taylor]: Taking taylor expansion of 0 in R 1.465 * [taylor]: Taking taylor expansion of 0 in R 1.465 * [taylor]: Taking taylor expansion of 0 in R 1.466 * [taylor]: Taking taylor expansion of 0 in R 1.467 * * * [progress]: simplifying candidates 1.469 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (exp (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (+ (log (sin lambda1)) (log (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (pow (* (sin lambda1) (sin lambda2)) 1) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (* (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) (pow 2 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.474 * * [simplify]: iteration 0 : 285 enodes (cost 1038 ) 1.479 * * [simplify]: iteration 1 : 1031 enodes (cost 891 ) 1.501 * * [simplify]: iteration 2 : 4820 enodes (cost 890 ) 1.638 * * [simplify]: iteration 3 : 5001 enodes (cost 890 ) 1.642 * [simplify]: Simplified to: (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (sin lambda1) (sin lambda2) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (sin lambda1) (sin lambda2) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (* (sin lambda1) (sin lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 1/2) (pow (* (sin lambda1) (sin lambda2)) 1/2) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) 3 3 (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (* (sin lambda1) (sin lambda2)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (* (sin lambda1) (sin lambda2)) 2) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2)) (pow (pow (* (sin lambda1) (sin lambda2)) 3) 3) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) 8 (pow (* (sin lambda1) (sin lambda2)) 2) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3/2) (pow (* (sin lambda1) (sin lambda2)) 3/2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (+ (* (pow lambda2 3) (- (pow lambda1 3) (* (pow lambda1 5) 1/2))) (* -1/2 (* (pow lambda2 5) (pow lambda1 3)))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) R) 1.643 * * * [progress]: adding candidates to table 1.761 * [progress]: [Phase 3 of 3] Extracting. 1.761 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 1.774 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 1.774 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # #) 1.925 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 1.983 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # #) 2.141 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 2.203 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 2.357 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 2.507 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 2.656 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 2.806 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 2.955 * * * [regime]: Found split indices: #