15.344 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 3.247 * * * [progress]: [2/2] Setting up program. 3.253 * [progress]: [Phase 2 of 3] Improving. 3.254 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3.256 * * [simplify]: iteration 0 : 30 enodes (cost 19 ) 3.256 * * [simplify]: iteration 1 : 30 enodes (cost 19 ) 3.256 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R) 3.264 * * [progress]: iteration 1 / 4 3.264 * * * [progress]: picking best candidate 3.270 * * * * [pick]: Picked # 3.270 * * * [progress]: localizing error 3.294 * * * [progress]: generating rewritten candidates 3.295 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 3.298 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.300 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.313 * * * [progress]: generating series expansions 3.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 3.313 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 3.313 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.313 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 3.313 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.313 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.313 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.314 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.314 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.314 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.314 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.314 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.315 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 3.315 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 3.315 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.316 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 3.316 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 3.316 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.316 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.316 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.316 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.316 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.316 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.316 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.316 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.316 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.316 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.316 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.317 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.317 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.317 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.317 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.317 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.317 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.317 * [taylor]: Taking taylor expansion of 0 in lambda2 3.317 * [taylor]: Taking taylor expansion of 0 in lambda2 3.317 * [taylor]: Taking taylor expansion of 0 in lambda2 3.317 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.317 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.317 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.317 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.318 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.318 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.318 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.318 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.318 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.318 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.318 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.318 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.318 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.318 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.318 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.318 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.318 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.318 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.318 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.318 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.318 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.318 * [taylor]: Taking taylor expansion of 0 in lambda2 3.318 * [taylor]: Taking taylor expansion of 0 in lambda2 3.318 * [taylor]: Taking taylor expansion of 0 in lambda2 3.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.319 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.321 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.321 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.321 * [taylor]: Taking taylor expansion of 0 in phi2 3.321 * [taylor]: Taking taylor expansion of 0 in lambda1 3.321 * [taylor]: Taking taylor expansion of 0 in lambda2 3.321 * [taylor]: Taking taylor expansion of 0 in lambda1 3.321 * [taylor]: Taking taylor expansion of 0 in lambda2 3.321 * [taylor]: Taking taylor expansion of 0 in lambda2 3.321 * [taylor]: Taking taylor expansion of 0 in phi2 3.321 * [taylor]: Taking taylor expansion of 0 in lambda1 3.321 * [taylor]: Taking taylor expansion of 0 in lambda2 3.321 * [taylor]: Taking taylor expansion of 0 in lambda1 3.321 * [taylor]: Taking taylor expansion of 0 in lambda2 3.322 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.324 * [taylor]: Taking taylor expansion of 0 in phi2 3.324 * [taylor]: Taking taylor expansion of 0 in lambda1 3.324 * [taylor]: Taking taylor expansion of 0 in lambda2 3.324 * [taylor]: Taking taylor expansion of 0 in lambda1 3.324 * [taylor]: Taking taylor expansion of 0 in lambda2 3.324 * [taylor]: Taking taylor expansion of 0 in lambda2 3.324 * [taylor]: Taking taylor expansion of 0 in phi2 3.324 * [taylor]: Taking taylor expansion of 0 in lambda1 3.324 * [taylor]: Taking taylor expansion of 0 in lambda2 3.324 * [taylor]: Taking taylor expansion of 0 in lambda1 3.324 * [taylor]: Taking taylor expansion of 0 in lambda2 3.324 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.324 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.326 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.326 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.326 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.326 * [taylor]: Taking taylor expansion of 0 in phi2 3.326 * [taylor]: Taking taylor expansion of 0 in lambda1 3.326 * [taylor]: Taking taylor expansion of 0 in lambda2 3.327 * [taylor]: Taking taylor expansion of 0 in lambda1 3.327 * [taylor]: Taking taylor expansion of 0 in lambda2 3.327 * [taylor]: Taking taylor expansion of 0 in lambda2 3.327 * [taylor]: Taking taylor expansion of 0 in phi2 3.327 * [taylor]: Taking taylor expansion of 0 in lambda1 3.327 * [taylor]: Taking taylor expansion of 0 in lambda2 3.327 * [taylor]: Taking taylor expansion of 0 in lambda1 3.327 * [taylor]: Taking taylor expansion of 0 in lambda2 3.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.327 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.327 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.327 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.327 * [taylor]: Taking taylor expansion of phi1 in phi2 3.327 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.327 * [taylor]: Taking taylor expansion of phi2 in phi2 3.327 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.327 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.327 * [taylor]: Taking taylor expansion of phi1 in phi1 3.327 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.327 * [taylor]: Taking taylor expansion of phi2 in phi1 3.327 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.327 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.327 * [taylor]: Taking taylor expansion of phi1 in phi1 3.327 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.327 * [taylor]: Taking taylor expansion of phi2 in phi1 3.328 * [taylor]: Taking taylor expansion of 0 in phi2 3.328 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.328 * [taylor]: Taking taylor expansion of phi2 in phi2 3.329 * [taylor]: Taking taylor expansion of 0 in phi2 3.329 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.329 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.329 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.329 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.329 * [taylor]: Taking taylor expansion of phi2 in phi2 3.331 * [taylor]: Taking taylor expansion of 0 in phi2 3.331 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.331 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.331 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.331 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.331 * [taylor]: Taking taylor expansion of phi1 in phi2 3.331 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.331 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.331 * [taylor]: Taking taylor expansion of phi2 in phi2 3.331 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.331 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.331 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.331 * [taylor]: Taking taylor expansion of phi1 in phi1 3.331 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.331 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.331 * [taylor]: Taking taylor expansion of phi2 in phi1 3.331 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.331 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.331 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.331 * [taylor]: Taking taylor expansion of phi1 in phi1 3.331 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.331 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.331 * [taylor]: Taking taylor expansion of phi2 in phi1 3.332 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.332 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.332 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.332 * [taylor]: Taking taylor expansion of phi1 in phi2 3.332 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.332 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.332 * [taylor]: Taking taylor expansion of phi2 in phi2 3.332 * [taylor]: Taking taylor expansion of 0 in phi2 3.333 * [taylor]: Taking taylor expansion of 0 in phi2 3.334 * [taylor]: Taking taylor expansion of 0 in phi2 3.334 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.334 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.334 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.334 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.334 * [taylor]: Taking taylor expansion of -1 in phi2 3.334 * [taylor]: Taking taylor expansion of phi1 in phi2 3.334 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.334 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.334 * [taylor]: Taking taylor expansion of -1 in phi2 3.334 * [taylor]: Taking taylor expansion of phi2 in phi2 3.334 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.334 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.334 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.334 * [taylor]: Taking taylor expansion of -1 in phi1 3.334 * [taylor]: Taking taylor expansion of phi1 in phi1 3.334 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.334 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.334 * [taylor]: Taking taylor expansion of -1 in phi1 3.334 * [taylor]: Taking taylor expansion of phi2 in phi1 3.335 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.335 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.335 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.335 * [taylor]: Taking taylor expansion of -1 in phi1 3.335 * [taylor]: Taking taylor expansion of phi1 in phi1 3.335 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.335 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.335 * [taylor]: Taking taylor expansion of -1 in phi1 3.335 * [taylor]: Taking taylor expansion of phi2 in phi1 3.335 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.335 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.335 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.335 * [taylor]: Taking taylor expansion of -1 in phi2 3.335 * [taylor]: Taking taylor expansion of phi1 in phi2 3.335 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.335 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.335 * [taylor]: Taking taylor expansion of -1 in phi2 3.335 * [taylor]: Taking taylor expansion of phi2 in phi2 3.336 * [taylor]: Taking taylor expansion of 0 in phi2 3.336 * [taylor]: Taking taylor expansion of 0 in phi2 3.337 * [taylor]: Taking taylor expansion of 0 in phi2 3.337 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.338 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.338 * [taylor]: Taking taylor expansion of R in R 3.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.338 * [taylor]: Taking taylor expansion of R in lambda2 3.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.338 * [taylor]: Taking taylor expansion of R in lambda1 3.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.338 * [taylor]: Taking taylor expansion of R in phi2 3.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.339 * [taylor]: Taking taylor expansion of R in phi1 3.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.339 * [taylor]: Taking taylor expansion of R in phi1 3.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.339 * [taylor]: Taking taylor expansion of R in phi2 3.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.339 * [taylor]: Taking taylor expansion of R in lambda1 3.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.340 * [taylor]: Taking taylor expansion of R in lambda2 3.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.340 * [taylor]: Taking taylor expansion of R in R 3.340 * [taylor]: Taking taylor expansion of 0 in phi2 3.340 * [taylor]: Taking taylor expansion of 0 in lambda1 3.340 * [taylor]: Taking taylor expansion of 0 in lambda2 3.340 * [taylor]: Taking taylor expansion of 0 in R 3.341 * [taylor]: Taking taylor expansion of 0 in lambda1 3.341 * [taylor]: Taking taylor expansion of 0 in lambda2 3.341 * [taylor]: Taking taylor expansion of 0 in R 3.341 * [taylor]: Taking taylor expansion of 0 in lambda2 3.341 * [taylor]: Taking taylor expansion of 0 in R 3.341 * [taylor]: Taking taylor expansion of 0 in R 3.342 * [taylor]: Taking taylor expansion of 0 in phi2 3.342 * [taylor]: Taking taylor expansion of 0 in lambda1 3.342 * [taylor]: Taking taylor expansion of 0 in lambda2 3.342 * [taylor]: Taking taylor expansion of 0 in R 3.342 * [taylor]: Taking taylor expansion of 0 in lambda1 3.342 * [taylor]: Taking taylor expansion of 0 in lambda2 3.342 * [taylor]: Taking taylor expansion of 0 in R 3.342 * [taylor]: Taking taylor expansion of 0 in lambda1 3.342 * [taylor]: Taking taylor expansion of 0 in lambda2 3.342 * [taylor]: Taking taylor expansion of 0 in R 3.342 * [taylor]: Taking taylor expansion of 0 in lambda2 3.342 * [taylor]: Taking taylor expansion of 0 in R 3.342 * [taylor]: Taking taylor expansion of 0 in lambda2 3.342 * [taylor]: Taking taylor expansion of 0 in R 3.342 * [taylor]: Taking taylor expansion of 0 in lambda2 3.342 * [taylor]: Taking taylor expansion of 0 in R 3.343 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.343 * [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 R 3.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.343 * [taylor]: Taking taylor expansion of R in R 3.343 * [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 lambda2 3.343 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.344 * [taylor]: Taking taylor expansion of R in lambda2 3.344 * [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 3.344 * [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 3.344 * [taylor]: Taking taylor expansion of R in lambda1 3.344 * [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 phi2 3.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.345 * [taylor]: Taking taylor expansion of R in phi2 3.345 * [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 phi1 3.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.345 * [taylor]: Taking taylor expansion of R in phi1 3.345 * [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 phi1 3.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 3.345 * [taylor]: Taking taylor expansion of R in phi1 3.346 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 3.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 3.346 * [taylor]: Taking taylor expansion of R in phi2 3.346 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 3.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 3.346 * [taylor]: Taking taylor expansion of R in lambda1 3.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 3.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 3.347 * [taylor]: Taking taylor expansion of R in lambda2 3.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 3.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.347 * [taylor]: Taking taylor expansion of R in R 3.348 * [taylor]: Taking taylor expansion of 0 in phi2 3.348 * [taylor]: Taking taylor expansion of 0 in lambda1 3.348 * [taylor]: Taking taylor expansion of 0 in lambda2 3.348 * [taylor]: Taking taylor expansion of 0 in R 3.348 * [taylor]: Taking taylor expansion of 0 in lambda1 3.348 * [taylor]: Taking taylor expansion of 0 in lambda2 3.348 * [taylor]: Taking taylor expansion of 0 in R 3.349 * [taylor]: Taking taylor expansion of 0 in lambda2 3.349 * [taylor]: Taking taylor expansion of 0 in R 3.349 * [taylor]: Taking taylor expansion of 0 in R 3.349 * [taylor]: Taking taylor expansion of 0 in phi2 3.350 * [taylor]: Taking taylor expansion of 0 in lambda1 3.350 * [taylor]: Taking taylor expansion of 0 in lambda2 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in lambda1 3.350 * [taylor]: Taking taylor expansion of 0 in lambda2 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in lambda1 3.350 * [taylor]: Taking taylor expansion of 0 in lambda2 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in lambda2 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in lambda2 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in lambda2 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.350 * [taylor]: Taking taylor expansion of 0 in R 3.351 * [taylor]: Taking taylor expansion of 0 in R 3.352 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.352 * [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 R 3.352 * [taylor]: Taking taylor expansion of -1 in R 3.352 * [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 R 3.352 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.352 * [taylor]: Taking taylor expansion of R in R 3.352 * [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 lambda2 3.352 * [taylor]: Taking taylor expansion of -1 in lambda2 3.352 * [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 lambda2 3.352 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.352 * [taylor]: Taking taylor expansion of R in lambda2 3.353 * [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 3.353 * [taylor]: Taking taylor expansion of -1 in lambda1 3.353 * [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 3.353 * [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 3.353 * [taylor]: Taking taylor expansion of R in lambda1 3.353 * [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 phi2 3.353 * [taylor]: Taking taylor expansion of -1 in phi2 3.353 * [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 phi2 3.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.353 * [taylor]: Taking taylor expansion of R in phi2 3.354 * [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 phi1 3.354 * [taylor]: Taking taylor expansion of -1 in phi1 3.354 * [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 phi1 3.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.354 * [taylor]: Taking taylor expansion of R in phi1 3.354 * [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 phi1 3.354 * [taylor]: Taking taylor expansion of -1 in phi1 3.354 * [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 phi1 3.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 3.354 * [taylor]: Taking taylor expansion of R in phi1 3.355 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 3.355 * [taylor]: Taking taylor expansion of -1 in phi2 3.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 3.355 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 3.355 * [taylor]: Taking taylor expansion of R in phi2 3.356 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 3.356 * [taylor]: Taking taylor expansion of -1 in lambda1 3.356 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 3.356 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 3.356 * [taylor]: Taking taylor expansion of R in lambda1 3.356 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 3.356 * [taylor]: Taking taylor expansion of -1 in lambda2 3.356 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 3.356 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 3.357 * [taylor]: Taking taylor expansion of R in lambda2 3.357 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 3.357 * [taylor]: Taking taylor expansion of -1 in R 3.357 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 3.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.357 * [taylor]: Taking taylor expansion of R in R 3.358 * [taylor]: Taking taylor expansion of 0 in phi2 3.358 * [taylor]: Taking taylor expansion of 0 in lambda1 3.358 * [taylor]: Taking taylor expansion of 0 in lambda2 3.358 * [taylor]: Taking taylor expansion of 0 in R 3.359 * [taylor]: Taking taylor expansion of 0 in lambda1 3.359 * [taylor]: Taking taylor expansion of 0 in lambda2 3.359 * [taylor]: Taking taylor expansion of 0 in R 3.359 * [taylor]: Taking taylor expansion of 0 in lambda2 3.359 * [taylor]: Taking taylor expansion of 0 in R 3.360 * [taylor]: Taking taylor expansion of 0 in R 3.361 * [taylor]: Taking taylor expansion of 0 in phi2 3.361 * [taylor]: Taking taylor expansion of 0 in lambda1 3.361 * [taylor]: Taking taylor expansion of 0 in lambda2 3.361 * [taylor]: Taking taylor expansion of 0 in R 3.361 * [taylor]: Taking taylor expansion of 0 in lambda1 3.361 * [taylor]: Taking taylor expansion of 0 in lambda2 3.361 * [taylor]: Taking taylor expansion of 0 in R 3.362 * [taylor]: Taking taylor expansion of 0 in lambda1 3.362 * [taylor]: Taking taylor expansion of 0 in lambda2 3.362 * [taylor]: Taking taylor expansion of 0 in R 3.362 * [taylor]: Taking taylor expansion of 0 in lambda2 3.362 * [taylor]: Taking taylor expansion of 0 in R 3.362 * [taylor]: Taking taylor expansion of 0 in lambda2 3.362 * [taylor]: Taking taylor expansion of 0 in R 3.362 * [taylor]: Taking taylor expansion of 0 in lambda2 3.362 * [taylor]: Taking taylor expansion of 0 in R 3.362 * [taylor]: Taking taylor expansion of 0 in R 3.362 * [taylor]: Taking taylor expansion of 0 in R 3.362 * [taylor]: Taking taylor expansion of 0 in R 3.363 * [taylor]: Taking taylor expansion of 0 in R 3.364 * * * [progress]: simplifying candidates 3.364 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (- (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 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) (- (+ 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))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin 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) 3.415 * * [simplify]: iteration 0 : 4915 enodes (cost 876 ) 3.415 * * [simplify]: iteration 1 : 4915 enodes (cost 876 ) 3.418 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (neg (sin lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (+ 1 (* lambda1 (- lambda2 (* lambda1 1/2)))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3.418 * * * [progress]: adding candidates to table 3.512 * * [progress]: iteration 2 / 4 3.512 * * * [progress]: picking best candidate 3.606 * * * * [pick]: Picked # 3.606 * * * [progress]: localizing error 3.639 * * * [progress]: generating rewritten candidates 3.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.640 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.646 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 2) 3.656 * * * [progress]: generating series expansions 3.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.656 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.656 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.657 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.658 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.658 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.658 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.659 * [taylor]: Taking taylor expansion of 0 in phi2 3.659 * [taylor]: Taking taylor expansion of 0 in lambda1 3.659 * [taylor]: Taking taylor expansion of 0 in lambda2 3.659 * [taylor]: Taking taylor expansion of 0 in lambda1 3.659 * [taylor]: Taking taylor expansion of 0 in lambda2 3.659 * [taylor]: Taking taylor expansion of 0 in lambda2 3.659 * [taylor]: Taking taylor expansion of 0 in phi2 3.659 * [taylor]: Taking taylor expansion of 0 in lambda1 3.659 * [taylor]: Taking taylor expansion of 0 in lambda2 3.659 * [taylor]: Taking taylor expansion of 0 in lambda1 3.659 * [taylor]: Taking taylor expansion of 0 in lambda2 3.660 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 3.660 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.660 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.661 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.661 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.661 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.662 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.662 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.663 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.663 * [taylor]: Taking taylor expansion of 0 in phi2 3.663 * [taylor]: Taking taylor expansion of 0 in lambda1 3.663 * [taylor]: Taking taylor expansion of 0 in lambda2 3.663 * [taylor]: Taking taylor expansion of 0 in lambda1 3.663 * [taylor]: Taking taylor expansion of 0 in lambda2 3.664 * [taylor]: Taking taylor expansion of 0 in lambda2 3.664 * [taylor]: Taking taylor expansion of 0 in phi2 3.664 * [taylor]: Taking taylor expansion of 0 in lambda1 3.664 * [taylor]: Taking taylor expansion of 0 in lambda2 3.664 * [taylor]: Taking taylor expansion of 0 in lambda1 3.664 * [taylor]: Taking taylor expansion of 0 in lambda2 3.664 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 3.665 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.665 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.665 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.666 * [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 phi1 3.666 * [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 phi1 3.667 * [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 phi2 3.667 * [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 lambda1 3.667 * [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 3.668 * [taylor]: Taking taylor expansion of 0 in phi2 3.668 * [taylor]: Taking taylor expansion of 0 in lambda1 3.668 * [taylor]: Taking taylor expansion of 0 in lambda2 3.668 * [taylor]: Taking taylor expansion of 0 in lambda1 3.668 * [taylor]: Taking taylor expansion of 0 in lambda2 3.668 * [taylor]: Taking taylor expansion of 0 in lambda2 3.669 * [taylor]: Taking taylor expansion of 0 in phi2 3.669 * [taylor]: Taking taylor expansion of 0 in lambda1 3.669 * [taylor]: Taking taylor expansion of 0 in lambda2 3.669 * [taylor]: Taking taylor expansion of 0 in lambda1 3.669 * [taylor]: Taking taylor expansion of 0 in lambda2 3.669 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.669 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.669 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.669 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.669 * [taylor]: Taking taylor expansion of phi1 in phi2 3.669 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.669 * [taylor]: Taking taylor expansion of phi2 in phi2 3.669 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.669 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.669 * [taylor]: Taking taylor expansion of phi1 in phi1 3.669 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.669 * [taylor]: Taking taylor expansion of phi2 in phi1 3.669 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.669 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.670 * [taylor]: Taking taylor expansion of phi1 in phi1 3.670 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.670 * [taylor]: Taking taylor expansion of phi2 in phi1 3.670 * [taylor]: Taking taylor expansion of 0 in phi2 3.670 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.670 * [taylor]: Taking taylor expansion of phi2 in phi2 3.670 * [taylor]: Taking taylor expansion of 0 in phi2 3.671 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.671 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.671 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.671 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.671 * [taylor]: Taking taylor expansion of phi2 in phi2 3.672 * [taylor]: Taking taylor expansion of 0 in phi2 3.672 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.672 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.672 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.672 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.672 * [taylor]: Taking taylor expansion of phi1 in phi2 3.672 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.672 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.672 * [taylor]: Taking taylor expansion of phi2 in phi2 3.672 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.672 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.672 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.672 * [taylor]: Taking taylor expansion of phi1 in phi1 3.672 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.672 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.672 * [taylor]: Taking taylor expansion of phi2 in phi1 3.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.673 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.673 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.673 * [taylor]: Taking taylor expansion of phi1 in phi1 3.673 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.673 * [taylor]: Taking taylor expansion of phi2 in phi1 3.673 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.673 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.673 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.673 * [taylor]: Taking taylor expansion of phi1 in phi2 3.673 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.673 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.673 * [taylor]: Taking taylor expansion of phi2 in phi2 3.674 * [taylor]: Taking taylor expansion of 0 in phi2 3.674 * [taylor]: Taking taylor expansion of 0 in phi2 3.675 * [taylor]: Taking taylor expansion of 0 in phi2 3.675 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.675 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.675 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.675 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.675 * [taylor]: Taking taylor expansion of -1 in phi2 3.675 * [taylor]: Taking taylor expansion of phi1 in phi2 3.676 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.676 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.676 * [taylor]: Taking taylor expansion of -1 in phi2 3.676 * [taylor]: Taking taylor expansion of phi2 in phi2 3.676 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.676 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.676 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.676 * [taylor]: Taking taylor expansion of -1 in phi1 3.676 * [taylor]: Taking taylor expansion of phi1 in phi1 3.676 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.676 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.676 * [taylor]: Taking taylor expansion of -1 in phi1 3.676 * [taylor]: Taking taylor expansion of phi2 in phi1 3.676 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.676 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.676 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.676 * [taylor]: Taking taylor expansion of -1 in phi1 3.676 * [taylor]: Taking taylor expansion of phi1 in phi1 3.676 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.676 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.676 * [taylor]: Taking taylor expansion of -1 in phi1 3.676 * [taylor]: Taking taylor expansion of phi2 in phi1 3.676 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.676 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.676 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.676 * [taylor]: Taking taylor expansion of -1 in phi2 3.676 * [taylor]: Taking taylor expansion of phi1 in phi2 3.676 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.676 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.676 * [taylor]: Taking taylor expansion of -1 in phi2 3.677 * [taylor]: Taking taylor expansion of phi2 in phi2 3.677 * [taylor]: Taking taylor expansion of 0 in phi2 3.678 * [taylor]: Taking taylor expansion of 0 in phi2 3.679 * [taylor]: Taking taylor expansion of 0 in phi2 3.679 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.679 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.679 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 3.679 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 3.679 * [taylor]: Taking taylor expansion of R in R 3.679 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 3.679 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.680 * [taylor]: Taking taylor expansion of R in lambda2 3.680 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 3.680 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.680 * [taylor]: Taking taylor expansion of R in lambda1 3.680 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.680 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.680 * [taylor]: Taking taylor expansion of R in phi2 3.680 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.680 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.681 * [taylor]: Taking taylor expansion of R in phi1 3.681 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 3.681 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 3.681 * [taylor]: Taking taylor expansion of R in phi1 3.681 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 3.681 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 3.682 * [taylor]: Taking taylor expansion of R in phi2 3.682 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 3.682 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 3.682 * [taylor]: Taking taylor expansion of R in lambda1 3.683 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 3.683 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 3.683 * [taylor]: Taking taylor expansion of R in lambda2 3.683 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 3.683 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 3.683 * [taylor]: Taking taylor expansion of R in R 3.684 * [taylor]: Taking taylor expansion of 0 in phi2 3.684 * [taylor]: Taking taylor expansion of 0 in lambda1 3.684 * [taylor]: Taking taylor expansion of 0 in lambda2 3.684 * [taylor]: Taking taylor expansion of 0 in R 3.684 * [taylor]: Taking taylor expansion of 0 in lambda1 3.684 * [taylor]: Taking taylor expansion of 0 in lambda2 3.684 * [taylor]: Taking taylor expansion of 0 in R 3.685 * [taylor]: Taking taylor expansion of 0 in lambda2 3.685 * [taylor]: Taking taylor expansion of 0 in R 3.685 * [taylor]: Taking taylor expansion of 0 in R 3.686 * [taylor]: Taking taylor expansion of 0 in phi2 3.686 * [taylor]: Taking taylor expansion of 0 in lambda1 3.686 * [taylor]: Taking taylor expansion of 0 in lambda2 3.686 * [taylor]: Taking taylor expansion of 0 in R 3.686 * [taylor]: Taking taylor expansion of 0 in lambda1 3.686 * [taylor]: Taking taylor expansion of 0 in lambda2 3.686 * [taylor]: Taking taylor expansion of 0 in R 3.686 * [taylor]: Taking taylor expansion of 0 in lambda1 3.686 * [taylor]: Taking taylor expansion of 0 in lambda2 3.686 * [taylor]: Taking taylor expansion of 0 in R 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in R 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in R 3.687 * [taylor]: Taking taylor expansion of 0 in lambda2 3.687 * [taylor]: Taking taylor expansion of 0 in R 3.688 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.688 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 3.688 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 3.688 * [taylor]: Taking taylor expansion of R in R 3.688 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 3.688 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.689 * [taylor]: Taking taylor expansion of R in lambda2 3.689 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 3.689 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.690 * [taylor]: Taking taylor expansion of R in lambda1 3.690 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 3.690 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.690 * [taylor]: Taking taylor expansion of R in phi2 3.691 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 3.691 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.691 * [taylor]: Taking taylor expansion of R in phi1 3.692 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 3.692 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 3.692 * [taylor]: Taking taylor expansion of R in phi1 3.692 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 3.692 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 3.693 * [taylor]: Taking taylor expansion of R in phi2 3.693 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 3.693 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 3.694 * [taylor]: Taking taylor expansion of R in lambda1 3.694 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 3.694 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 3.694 * [taylor]: Taking taylor expansion of R in lambda2 3.695 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 3.695 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 3.695 * [taylor]: Taking taylor expansion of R in R 3.697 * [taylor]: Taking taylor expansion of 0 in phi2 3.697 * [taylor]: Taking taylor expansion of 0 in lambda1 3.697 * [taylor]: Taking taylor expansion of 0 in lambda2 3.697 * [taylor]: Taking taylor expansion of 0 in R 3.697 * [taylor]: Taking taylor expansion of 0 in lambda1 3.697 * [taylor]: Taking taylor expansion of 0 in lambda2 3.697 * [taylor]: Taking taylor expansion of 0 in R 3.697 * [taylor]: Taking taylor expansion of 0 in lambda2 3.698 * [taylor]: Taking taylor expansion of 0 in R 3.698 * [taylor]: Taking taylor expansion of 0 in R 3.699 * [taylor]: Taking taylor expansion of 0 in phi2 3.699 * [taylor]: Taking taylor expansion of 0 in lambda1 3.699 * [taylor]: Taking taylor expansion of 0 in lambda2 3.699 * [taylor]: Taking taylor expansion of 0 in R 3.699 * [taylor]: Taking taylor expansion of 0 in lambda1 3.699 * [taylor]: Taking taylor expansion of 0 in lambda2 3.699 * [taylor]: Taking taylor expansion of 0 in R 3.699 * [taylor]: Taking taylor expansion of 0 in lambda1 3.699 * [taylor]: Taking taylor expansion of 0 in lambda2 3.699 * [taylor]: Taking taylor expansion of 0 in R 3.699 * [taylor]: Taking taylor expansion of 0 in lambda2 3.699 * [taylor]: Taking taylor expansion of 0 in R 3.699 * [taylor]: Taking taylor expansion of 0 in lambda2 3.700 * [taylor]: Taking taylor expansion of 0 in R 3.700 * [taylor]: Taking taylor expansion of 0 in lambda2 3.700 * [taylor]: Taking taylor expansion of 0 in R 3.700 * [taylor]: Taking taylor expansion of 0 in R 3.700 * [taylor]: Taking taylor expansion of 0 in R 3.700 * [taylor]: Taking taylor expansion of 0 in R 3.700 * [taylor]: Taking taylor expansion of 0 in R 3.702 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.702 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 3.702 * [taylor]: Taking taylor expansion of -1 in R 3.702 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 3.702 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 3.702 * [taylor]: Taking taylor expansion of R in R 3.703 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.703 * [taylor]: Taking taylor expansion of -1 in lambda2 3.703 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.703 * [taylor]: Taking taylor expansion of R in lambda2 3.704 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.704 * [taylor]: Taking taylor expansion of -1 in lambda1 3.704 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.704 * [taylor]: Taking taylor expansion of R in lambda1 3.704 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.704 * [taylor]: Taking taylor expansion of -1 in phi2 3.704 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.705 * [taylor]: Taking taylor expansion of R in phi2 3.705 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.705 * [taylor]: Taking taylor expansion of -1 in phi1 3.705 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.706 * [taylor]: Taking taylor expansion of R in phi1 3.706 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 3.706 * [taylor]: Taking taylor expansion of -1 in phi1 3.706 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 3.706 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 3.707 * [taylor]: Taking taylor expansion of R in phi1 3.708 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 3.708 * [taylor]: Taking taylor expansion of -1 in phi2 3.708 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 3.708 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 3.708 * [taylor]: Taking taylor expansion of R in phi2 3.709 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 3.709 * [taylor]: Taking taylor expansion of -1 in lambda1 3.709 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 3.709 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 3.709 * [taylor]: Taking taylor expansion of R in lambda1 3.710 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 3.710 * [taylor]: Taking taylor expansion of -1 in lambda2 3.710 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 3.710 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 3.711 * [taylor]: Taking taylor expansion of R in lambda2 3.711 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 3.711 * [taylor]: Taking taylor expansion of -1 in R 3.712 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 3.712 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 3.712 * [taylor]: Taking taylor expansion of R in R 3.714 * [taylor]: Taking taylor expansion of 0 in phi2 3.714 * [taylor]: Taking taylor expansion of 0 in lambda1 3.714 * [taylor]: Taking taylor expansion of 0 in lambda2 3.714 * [taylor]: Taking taylor expansion of 0 in R 3.715 * [taylor]: Taking taylor expansion of 0 in lambda1 3.715 * [taylor]: Taking taylor expansion of 0 in lambda2 3.715 * [taylor]: Taking taylor expansion of 0 in R 3.716 * [taylor]: Taking taylor expansion of 0 in lambda2 3.716 * [taylor]: Taking taylor expansion of 0 in R 3.717 * [taylor]: Taking taylor expansion of 0 in R 3.718 * [taylor]: Taking taylor expansion of 0 in phi2 3.718 * [taylor]: Taking taylor expansion of 0 in lambda1 3.718 * [taylor]: Taking taylor expansion of 0 in lambda2 3.718 * [taylor]: Taking taylor expansion of 0 in R 3.718 * [taylor]: Taking taylor expansion of 0 in lambda1 3.719 * [taylor]: Taking taylor expansion of 0 in lambda2 3.719 * [taylor]: Taking taylor expansion of 0 in R 3.719 * [taylor]: Taking taylor expansion of 0 in lambda1 3.719 * [taylor]: Taking taylor expansion of 0 in lambda2 3.719 * [taylor]: Taking taylor expansion of 0 in R 3.719 * [taylor]: Taking taylor expansion of 0 in lambda2 3.719 * [taylor]: Taking taylor expansion of 0 in R 3.720 * [taylor]: Taking taylor expansion of 0 in lambda2 3.720 * [taylor]: Taking taylor expansion of 0 in R 3.720 * [taylor]: Taking taylor expansion of 0 in lambda2 3.720 * [taylor]: Taking taylor expansion of 0 in R 3.720 * [taylor]: Taking taylor expansion of 0 in R 3.720 * [taylor]: Taking taylor expansion of 0 in R 3.720 * [taylor]: Taking taylor expansion of 0 in R 3.721 * [taylor]: Taking taylor expansion of 0 in R 3.723 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 2) 3.723 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 3.723 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 3.723 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.723 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.723 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.723 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.723 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.723 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.723 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.723 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.723 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.723 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.723 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.723 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.723 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.723 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.723 * [taylor]: Taking taylor expansion of 0 in lambda2 3.724 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.724 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.724 * [taylor]: Taking taylor expansion of 0 in lambda2 3.725 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 3.725 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 3.725 * [taylor]: Taking taylor expansion of 1/6 in lambda2 3.725 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.725 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.726 * [taylor]: Taking taylor expansion of 0 in lambda2 3.726 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.726 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.726 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.726 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.726 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.726 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.726 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.726 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.726 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.726 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.726 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.726 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.726 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.726 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.726 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.728 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.728 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.728 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.728 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.728 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.728 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.728 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.728 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.729 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.729 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.729 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.729 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.729 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.729 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.729 * [taylor]: Taking taylor expansion of 0 in lambda2 3.730 * [taylor]: Taking taylor expansion of 0 in lambda2 3.731 * [taylor]: Taking taylor expansion of 0 in lambda2 3.731 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 3.731 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.731 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.731 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.731 * [taylor]: Taking taylor expansion of -1 in lambda2 3.731 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.731 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.731 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.731 * [taylor]: Taking taylor expansion of -1 in lambda2 3.731 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.731 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.731 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.731 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.731 * [taylor]: Taking taylor expansion of -1 in lambda1 3.731 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.731 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.731 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.731 * [taylor]: Taking taylor expansion of -1 in lambda1 3.731 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.731 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.731 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.731 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.731 * [taylor]: Taking taylor expansion of -1 in lambda1 3.732 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.732 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.732 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.732 * [taylor]: Taking taylor expansion of -1 in lambda1 3.732 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.732 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.732 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.732 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.732 * [taylor]: Taking taylor expansion of -1 in lambda2 3.732 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.732 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.732 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.732 * [taylor]: Taking taylor expansion of -1 in lambda2 3.732 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.733 * [taylor]: Taking taylor expansion of 0 in lambda2 3.733 * [taylor]: Taking taylor expansion of 0 in lambda2 3.734 * [taylor]: Taking taylor expansion of 0 in lambda2 3.734 * * * [progress]: simplifying candidates 3.735 * [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)))))))) (- (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 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)) (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))))) (* phi2 phi1) (* (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))))))) 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)) 3.774 * * [simplify]: iteration 0 : 4919 enodes (cost 1173 ) 3.774 * * [simplify]: iteration 1 : 4919 enodes (cost 1173 ) 3.778 * [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)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (sin lambda2) (cbrt (sin lambda1))) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* phi1 phi2) (* (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))))))) 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) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 3.778 * * * [progress]: adding candidates to table 3.869 * * [progress]: iteration 3 / 4 3.869 * * * [progress]: picking best candidate 4.006 * * * * [pick]: Picked # 4.006 * * * [progress]: localizing error 4.046 * * * [progress]: generating rewritten candidates 4.046 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2 2) 4.050 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.051 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.055 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.060 * * * [progress]: generating series expansions 4.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2 2) 4.060 * [approximate]: Taking taylor expansion of (log (pow (exp (sin lambda1)) (sin lambda2))) in (lambda1 lambda2) around 0 4.060 * [taylor]: Taking taylor expansion of (log (pow (exp (sin lambda1)) (sin lambda2))) in lambda2 4.060 * [taylor]: Taking taylor expansion of (pow (exp (sin lambda1)) (sin lambda2)) in lambda2 4.060 * [taylor]: Taking taylor expansion of (exp (* (sin lambda2) (log (exp (sin lambda1))))) in lambda2 4.060 * [taylor]: Taking taylor expansion of (* (sin lambda2) (log (exp (sin lambda1)))) in lambda2 4.060 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.060 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.060 * [taylor]: Taking taylor expansion of (log (exp (sin lambda1))) in lambda2 4.061 * [taylor]: Taking taylor expansion of (exp (sin lambda1)) in lambda2 4.061 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.061 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.062 * [taylor]: Taking taylor expansion of (log (pow (exp (sin lambda1)) (sin lambda2))) in lambda1 4.062 * [taylor]: Taking taylor expansion of (pow (exp (sin lambda1)) (sin lambda2)) in lambda1 4.062 * [taylor]: Taking taylor expansion of (exp (* (sin lambda2) (log (exp (sin lambda1))))) in lambda1 4.062 * [taylor]: Taking taylor expansion of (* (sin lambda2) (log (exp (sin lambda1)))) in lambda1 4.062 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.062 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.062 * [taylor]: Taking taylor expansion of (log (exp (sin lambda1))) in lambda1 4.062 * [taylor]: Taking taylor expansion of (exp (sin lambda1)) in lambda1 4.062 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.062 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.063 * [taylor]: Taking taylor expansion of (log (pow (exp (sin lambda1)) (sin lambda2))) in lambda1 4.063 * [taylor]: Taking taylor expansion of (pow (exp (sin lambda1)) (sin lambda2)) in lambda1 4.063 * [taylor]: Taking taylor expansion of (exp (* (sin lambda2) (log (exp (sin lambda1))))) in lambda1 4.063 * [taylor]: Taking taylor expansion of (* (sin lambda2) (log (exp (sin lambda1)))) in lambda1 4.063 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.063 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.063 * [taylor]: Taking taylor expansion of (log (exp (sin lambda1))) in lambda1 4.063 * [taylor]: Taking taylor expansion of (exp (sin lambda1)) in lambda1 4.063 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.063 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.063 * [taylor]: Taking taylor expansion of (* (log 1) (sin lambda2)) in lambda2 4.063 * [taylor]: Taking taylor expansion of (log 1) in lambda2 4.063 * [taylor]: Taking taylor expansion of 1 in lambda2 4.063 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.063 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.064 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.064 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.066 * [taylor]: Taking taylor expansion of 0 in lambda2 4.069 * [taylor]: Taking taylor expansion of (* -1/6 (sin lambda2)) in lambda2 4.069 * [taylor]: Taking taylor expansion of -1/6 in lambda2 4.069 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.069 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.070 * [approximate]: Taking taylor expansion of (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) in (lambda1 lambda2) around 0 4.070 * [taylor]: Taking taylor expansion of (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) in lambda2 4.070 * [taylor]: Taking taylor expansion of (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2))) in lambda2 4.070 * [taylor]: Taking taylor expansion of (exp (* (sin (/ 1 lambda2)) (log (exp (sin (/ 1 lambda1)))))) in lambda2 4.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (log (exp (sin (/ 1 lambda1))))) in lambda2 4.070 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.070 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.070 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.070 * [taylor]: Taking taylor expansion of (log (exp (sin (/ 1 lambda1)))) in lambda2 4.070 * [taylor]: Taking taylor expansion of (exp (sin (/ 1 lambda1))) in lambda2 4.070 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.070 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.070 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.070 * [taylor]: Taking taylor expansion of (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) in lambda1 4.070 * [taylor]: Taking taylor expansion of (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2))) in lambda1 4.070 * [taylor]: Taking taylor expansion of (exp (* (sin (/ 1 lambda2)) (log (exp (sin (/ 1 lambda1)))))) in lambda1 4.070 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (log (exp (sin (/ 1 lambda1))))) in lambda1 4.070 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.070 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.070 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.070 * [taylor]: Taking taylor expansion of (log (exp (sin (/ 1 lambda1)))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (exp (sin (/ 1 lambda1))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.071 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.071 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.071 * [taylor]: Taking taylor expansion of (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (exp (* (sin (/ 1 lambda2)) (log (exp (sin (/ 1 lambda1)))))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (log (exp (sin (/ 1 lambda1))))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.071 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.071 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.071 * [taylor]: Taking taylor expansion of (log (exp (sin (/ 1 lambda1)))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (exp (sin (/ 1 lambda1))) in lambda1 4.071 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.071 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.071 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.072 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.072 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.072 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.072 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.072 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.072 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.072 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.073 * [taylor]: Taking taylor expansion of 0 in lambda2 4.074 * [taylor]: Taking taylor expansion of 0 in lambda2 4.077 * [taylor]: Taking taylor expansion of 0 in lambda2 4.077 * [approximate]: Taking taylor expansion of (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))) in (lambda1 lambda2) around 0 4.077 * [taylor]: Taking taylor expansion of (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))) in lambda2 4.077 * [taylor]: Taking taylor expansion of (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2))) in lambda2 4.077 * [taylor]: Taking taylor expansion of (exp (* (sin (/ -1 lambda2)) (log (exp (sin (/ -1 lambda1)))))) in lambda2 4.077 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda2)) (log (exp (sin (/ -1 lambda1))))) in lambda2 4.077 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.077 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.077 * [taylor]: Taking taylor expansion of -1 in lambda2 4.077 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.077 * [taylor]: Taking taylor expansion of (log (exp (sin (/ -1 lambda1)))) in lambda2 4.077 * [taylor]: Taking taylor expansion of (exp (sin (/ -1 lambda1))) in lambda2 4.077 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.077 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.077 * [taylor]: Taking taylor expansion of -1 in lambda2 4.077 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.078 * [taylor]: Taking taylor expansion of (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))) in lambda1 4.078 * [taylor]: Taking taylor expansion of (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2))) in lambda1 4.078 * [taylor]: Taking taylor expansion of (exp (* (sin (/ -1 lambda2)) (log (exp (sin (/ -1 lambda1)))))) in lambda1 4.078 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda2)) (log (exp (sin (/ -1 lambda1))))) in lambda1 4.078 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.078 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.078 * [taylor]: Taking taylor expansion of -1 in lambda1 4.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.078 * [taylor]: Taking taylor expansion of (log (exp (sin (/ -1 lambda1)))) in lambda1 4.078 * [taylor]: Taking taylor expansion of (exp (sin (/ -1 lambda1))) in lambda1 4.078 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.078 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.078 * [taylor]: Taking taylor expansion of -1 in lambda1 4.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.079 * [taylor]: Taking taylor expansion of (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))) in lambda1 4.079 * [taylor]: Taking taylor expansion of (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2))) in lambda1 4.079 * [taylor]: Taking taylor expansion of (exp (* (sin (/ -1 lambda2)) (log (exp (sin (/ -1 lambda1)))))) in lambda1 4.079 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda2)) (log (exp (sin (/ -1 lambda1))))) in lambda1 4.079 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.079 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.079 * [taylor]: Taking taylor expansion of -1 in lambda1 4.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.079 * [taylor]: Taking taylor expansion of (log (exp (sin (/ -1 lambda1)))) in lambda1 4.079 * [taylor]: Taking taylor expansion of (exp (sin (/ -1 lambda1))) in lambda1 4.079 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.079 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.079 * [taylor]: Taking taylor expansion of -1 in lambda1 4.079 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.079 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda2)) (sin (/ -1 lambda1))) in lambda2 4.079 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.079 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.079 * [taylor]: Taking taylor expansion of -1 in lambda2 4.079 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.079 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.079 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.079 * [taylor]: Taking taylor expansion of -1 in lambda2 4.079 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.080 * [taylor]: Taking taylor expansion of 0 in lambda2 4.082 * [taylor]: Taking taylor expansion of 0 in lambda2 4.084 * [taylor]: Taking taylor expansion of 0 in lambda2 4.084 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.085 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.085 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda2 4.085 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda1 4.085 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi2 4.086 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi1 4.086 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi1 4.086 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi2 4.087 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda1 4.087 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda2 4.088 * [taylor]: Taking taylor expansion of 0 in phi2 4.088 * [taylor]: Taking taylor expansion of 0 in lambda1 4.088 * [taylor]: Taking taylor expansion of 0 in lambda2 4.088 * [taylor]: Taking taylor expansion of 0 in lambda1 4.088 * [taylor]: Taking taylor expansion of 0 in lambda2 4.088 * [taylor]: Taking taylor expansion of 0 in lambda2 4.088 * [taylor]: Taking taylor expansion of 0 in phi2 4.088 * [taylor]: Taking taylor expansion of 0 in lambda1 4.088 * [taylor]: Taking taylor expansion of 0 in lambda2 4.088 * [taylor]: Taking taylor expansion of 0 in lambda1 4.088 * [taylor]: Taking taylor expansion of 0 in lambda2 4.089 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.089 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.089 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.090 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.090 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.090 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.091 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 4.091 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 4.092 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in phi2 4.093 * [taylor]: Taking taylor expansion of 0 in lambda1 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in lambda1 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in phi2 4.093 * [taylor]: Taking taylor expansion of 0 in lambda1 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.093 * [taylor]: Taking taylor expansion of 0 in lambda1 4.093 * [taylor]: Taking taylor expansion of 0 in lambda2 4.094 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.094 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.094 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.095 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.095 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.096 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.096 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.096 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.097 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.098 * [taylor]: Taking taylor expansion of 0 in phi2 4.098 * [taylor]: Taking taylor expansion of 0 in lambda1 4.098 * [taylor]: Taking taylor expansion of 0 in lambda2 4.098 * [taylor]: Taking taylor expansion of 0 in lambda1 4.098 * [taylor]: Taking taylor expansion of 0 in lambda2 4.098 * [taylor]: Taking taylor expansion of 0 in lambda2 4.098 * [taylor]: Taking taylor expansion of 0 in phi2 4.098 * [taylor]: Taking taylor expansion of 0 in lambda1 4.098 * [taylor]: Taking taylor expansion of 0 in lambda2 4.098 * [taylor]: Taking taylor expansion of 0 in lambda1 4.098 * [taylor]: Taking taylor expansion of 0 in lambda2 4.099 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.099 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.099 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.099 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.099 * [taylor]: Taking taylor expansion of phi1 in phi2 4.099 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.099 * [taylor]: Taking taylor expansion of phi2 in phi2 4.099 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.099 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.099 * [taylor]: Taking taylor expansion of phi1 in phi1 4.099 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.099 * [taylor]: Taking taylor expansion of phi2 in phi1 4.099 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.099 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.099 * [taylor]: Taking taylor expansion of phi1 in phi1 4.099 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.099 * [taylor]: Taking taylor expansion of phi2 in phi1 4.099 * [taylor]: Taking taylor expansion of 0 in phi2 4.099 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.099 * [taylor]: Taking taylor expansion of phi2 in phi2 4.100 * [taylor]: Taking taylor expansion of 0 in phi2 4.100 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 4.100 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.100 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.100 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.100 * [taylor]: Taking taylor expansion of phi2 in phi2 4.101 * [taylor]: Taking taylor expansion of 0 in phi2 4.101 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 4.101 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.101 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.102 * [taylor]: Taking taylor expansion of phi1 in phi2 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.102 * [taylor]: Taking taylor expansion of phi2 in phi2 4.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.102 * [taylor]: Taking taylor expansion of phi1 in phi1 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.102 * [taylor]: Taking taylor expansion of phi2 in phi1 4.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.102 * [taylor]: Taking taylor expansion of phi1 in phi1 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.102 * [taylor]: Taking taylor expansion of phi2 in phi1 4.102 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.102 * [taylor]: Taking taylor expansion of phi1 in phi2 4.102 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.102 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.102 * [taylor]: Taking taylor expansion of phi2 in phi2 4.103 * [taylor]: Taking taylor expansion of 0 in phi2 4.104 * [taylor]: Taking taylor expansion of 0 in phi2 4.104 * [taylor]: Taking taylor expansion of 0 in phi2 4.105 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.105 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.105 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.105 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.105 * [taylor]: Taking taylor expansion of -1 in phi2 4.105 * [taylor]: Taking taylor expansion of phi1 in phi2 4.105 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.105 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.105 * [taylor]: Taking taylor expansion of -1 in phi2 4.105 * [taylor]: Taking taylor expansion of phi2 in phi2 4.105 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.105 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.105 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.105 * [taylor]: Taking taylor expansion of -1 in phi1 4.105 * [taylor]: Taking taylor expansion of phi1 in phi1 4.105 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.105 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.105 * [taylor]: Taking taylor expansion of -1 in phi1 4.105 * [taylor]: Taking taylor expansion of phi2 in phi1 4.105 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.105 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.105 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.105 * [taylor]: Taking taylor expansion of -1 in phi1 4.105 * [taylor]: Taking taylor expansion of phi1 in phi1 4.105 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.105 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.105 * [taylor]: Taking taylor expansion of -1 in phi1 4.105 * [taylor]: Taking taylor expansion of phi2 in phi1 4.106 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.106 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.106 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.106 * [taylor]: Taking taylor expansion of -1 in phi2 4.106 * [taylor]: Taking taylor expansion of phi1 in phi2 4.106 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.106 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.106 * [taylor]: Taking taylor expansion of -1 in phi2 4.106 * [taylor]: Taking taylor expansion of phi2 in phi2 4.106 * [taylor]: Taking taylor expansion of 0 in phi2 4.107 * [taylor]: Taking taylor expansion of 0 in phi2 4.108 * [taylor]: Taking taylor expansion of 0 in phi2 4.108 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.108 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.108 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in R 4.108 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in R 4.109 * [taylor]: Taking taylor expansion of R in R 4.109 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in lambda2 4.109 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda2 4.109 * [taylor]: Taking taylor expansion of R in lambda2 4.109 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in lambda1 4.109 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda1 4.110 * [taylor]: Taking taylor expansion of R in lambda1 4.110 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in phi2 4.110 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi2 4.110 * [taylor]: Taking taylor expansion of R in phi2 4.110 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in phi1 4.110 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi1 4.110 * [taylor]: Taking taylor expansion of R in phi1 4.110 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in phi1 4.110 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi1 4.111 * [taylor]: Taking taylor expansion of R in phi1 4.111 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in phi2 4.111 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in phi2 4.111 * [taylor]: Taking taylor expansion of R in phi2 4.112 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in lambda1 4.112 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda1 4.112 * [taylor]: Taking taylor expansion of R in lambda1 4.112 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in lambda2 4.112 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in lambda2 4.113 * [taylor]: Taking taylor expansion of R in lambda2 4.113 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) in R 4.113 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) in R 4.113 * [taylor]: Taking taylor expansion of R in R 4.114 * [taylor]: Taking taylor expansion of 0 in phi2 4.114 * [taylor]: Taking taylor expansion of 0 in lambda1 4.114 * [taylor]: Taking taylor expansion of 0 in lambda2 4.114 * [taylor]: Taking taylor expansion of 0 in R 4.114 * [taylor]: Taking taylor expansion of 0 in lambda1 4.114 * [taylor]: Taking taylor expansion of 0 in lambda2 4.114 * [taylor]: Taking taylor expansion of 0 in R 4.115 * [taylor]: Taking taylor expansion of 0 in lambda2 4.115 * [taylor]: Taking taylor expansion of 0 in R 4.115 * [taylor]: Taking taylor expansion of 0 in R 4.116 * [taylor]: Taking taylor expansion of 0 in phi2 4.116 * [taylor]: Taking taylor expansion of 0 in lambda1 4.116 * [taylor]: Taking taylor expansion of 0 in lambda2 4.116 * [taylor]: Taking taylor expansion of 0 in R 4.116 * [taylor]: Taking taylor expansion of 0 in lambda1 4.116 * [taylor]: Taking taylor expansion of 0 in lambda2 4.116 * [taylor]: Taking taylor expansion of 0 in R 4.117 * [taylor]: Taking taylor expansion of 0 in lambda1 4.117 * [taylor]: Taking taylor expansion of 0 in lambda2 4.117 * [taylor]: Taking taylor expansion of 0 in R 4.117 * [taylor]: Taking taylor expansion of 0 in lambda2 4.117 * [taylor]: Taking taylor expansion of 0 in R 4.117 * [taylor]: Taking taylor expansion of 0 in lambda2 4.117 * [taylor]: Taking taylor expansion of 0 in R 4.117 * [taylor]: Taking taylor expansion of 0 in lambda2 4.117 * [taylor]: Taking taylor expansion of 0 in R 4.118 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.118 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in R 4.118 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in R 4.119 * [taylor]: Taking taylor expansion of R in R 4.119 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda2 4.119 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda2 4.119 * [taylor]: Taking taylor expansion of R in lambda2 4.120 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in lambda1 4.120 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in lambda1 4.120 * [taylor]: Taking taylor expansion of R in lambda1 4.121 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi2 4.121 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi2 4.121 * [taylor]: Taking taylor expansion of R in phi2 4.122 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 4.122 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.122 * [taylor]: Taking taylor expansion of R in phi1 4.122 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) R) in phi1 4.122 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (+ (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))))) in phi1 4.123 * [taylor]: Taking taylor expansion of R in phi1 4.123 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi2 4.123 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 4.124 * [taylor]: Taking taylor expansion of R in phi2 4.124 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda1 4.124 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 4.125 * [taylor]: Taking taylor expansion of R in lambda1 4.125 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda2 4.125 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 4.126 * [taylor]: Taking taylor expansion of R in lambda2 4.126 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in R 4.126 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (log (pow (exp (sin (/ 1 lambda1))) (sin (/ 1 lambda2)))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in R 4.127 * [taylor]: Taking taylor expansion of R in R 4.128 * [taylor]: Taking taylor expansion of 0 in phi2 4.128 * [taylor]: Taking taylor expansion of 0 in lambda1 4.128 * [taylor]: Taking taylor expansion of 0 in lambda2 4.128 * [taylor]: Taking taylor expansion of 0 in R 4.128 * [taylor]: Taking taylor expansion of 0 in lambda1 4.129 * [taylor]: Taking taylor expansion of 0 in lambda2 4.129 * [taylor]: Taking taylor expansion of 0 in R 4.129 * [taylor]: Taking taylor expansion of 0 in lambda2 4.129 * [taylor]: Taking taylor expansion of 0 in R 4.129 * [taylor]: Taking taylor expansion of 0 in R 4.130 * [taylor]: Taking taylor expansion of 0 in phi2 4.130 * [taylor]: Taking taylor expansion of 0 in lambda1 4.130 * [taylor]: Taking taylor expansion of 0 in lambda2 4.130 * [taylor]: Taking taylor expansion of 0 in R 4.130 * [taylor]: Taking taylor expansion of 0 in lambda1 4.131 * [taylor]: Taking taylor expansion of 0 in lambda2 4.131 * [taylor]: Taking taylor expansion of 0 in R 4.131 * [taylor]: Taking taylor expansion of 0 in lambda1 4.131 * [taylor]: Taking taylor expansion of 0 in lambda2 4.131 * [taylor]: Taking taylor expansion of 0 in R 4.131 * [taylor]: Taking taylor expansion of 0 in lambda2 4.131 * [taylor]: Taking taylor expansion of 0 in R 4.131 * [taylor]: Taking taylor expansion of 0 in lambda2 4.131 * [taylor]: Taking taylor expansion of 0 in R 4.132 * [taylor]: Taking taylor expansion of 0 in lambda2 4.132 * [taylor]: Taking taylor expansion of 0 in R 4.132 * [taylor]: Taking taylor expansion of 0 in R 4.132 * [taylor]: Taking taylor expansion of 0 in R 4.132 * [taylor]: Taking taylor expansion of 0 in R 4.132 * [taylor]: Taking taylor expansion of 0 in R 4.136 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.136 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.136 * [taylor]: Taking taylor expansion of -1 in R 4.136 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.136 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.137 * [taylor]: Taking taylor expansion of R in R 4.137 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.137 * [taylor]: Taking taylor expansion of -1 in lambda2 4.137 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.137 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.138 * [taylor]: Taking taylor expansion of R in lambda2 4.138 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.138 * [taylor]: Taking taylor expansion of -1 in lambda1 4.138 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.138 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.139 * [taylor]: Taking taylor expansion of R in lambda1 4.139 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.139 * [taylor]: Taking taylor expansion of -1 in phi2 4.139 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.139 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.139 * [taylor]: Taking taylor expansion of R in phi2 4.140 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.140 * [taylor]: Taking taylor expansion of -1 in phi1 4.140 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.140 * [taylor]: Taking taylor expansion of R in phi1 4.141 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 4.141 * [taylor]: Taking taylor expansion of -1 in phi1 4.141 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 4.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.141 * [taylor]: Taking taylor expansion of R in phi1 4.142 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 4.142 * [taylor]: Taking taylor expansion of -1 in phi2 4.142 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 4.142 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.143 * [taylor]: Taking taylor expansion of R in phi2 4.143 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 4.143 * [taylor]: Taking taylor expansion of -1 in lambda1 4.143 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 4.143 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.144 * [taylor]: Taking taylor expansion of R in lambda1 4.145 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 4.145 * [taylor]: Taking taylor expansion of -1 in lambda2 4.145 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 4.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.145 * [taylor]: Taking taylor expansion of R in lambda2 4.146 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 4.146 * [taylor]: Taking taylor expansion of -1 in R 4.146 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 4.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (log (pow (exp (sin (/ -1 lambda1))) (sin (/ -1 lambda2)))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 4.147 * [taylor]: Taking taylor expansion of R in R 4.149 * [taylor]: Taking taylor expansion of 0 in phi2 4.149 * [taylor]: Taking taylor expansion of 0 in lambda1 4.149 * [taylor]: Taking taylor expansion of 0 in lambda2 4.149 * [taylor]: Taking taylor expansion of 0 in R 4.150 * [taylor]: Taking taylor expansion of 0 in lambda1 4.150 * [taylor]: Taking taylor expansion of 0 in lambda2 4.150 * [taylor]: Taking taylor expansion of 0 in R 4.151 * [taylor]: Taking taylor expansion of 0 in lambda2 4.151 * [taylor]: Taking taylor expansion of 0 in R 4.152 * [taylor]: Taking taylor expansion of 0 in R 4.153 * [taylor]: Taking taylor expansion of 0 in phi2 4.153 * [taylor]: Taking taylor expansion of 0 in lambda1 4.153 * [taylor]: Taking taylor expansion of 0 in lambda2 4.153 * [taylor]: Taking taylor expansion of 0 in R 4.153 * [taylor]: Taking taylor expansion of 0 in lambda1 4.153 * [taylor]: Taking taylor expansion of 0 in lambda2 4.153 * [taylor]: Taking taylor expansion of 0 in R 4.154 * [taylor]: Taking taylor expansion of 0 in lambda1 4.154 * [taylor]: Taking taylor expansion of 0 in lambda2 4.154 * [taylor]: Taking taylor expansion of 0 in R 4.154 * [taylor]: Taking taylor expansion of 0 in lambda2 4.154 * [taylor]: Taking taylor expansion of 0 in R 4.154 * [taylor]: Taking taylor expansion of 0 in lambda2 4.154 * [taylor]: Taking taylor expansion of 0 in R 4.155 * [taylor]: Taking taylor expansion of 0 in lambda2 4.155 * [taylor]: Taking taylor expansion of 0 in R 4.155 * [taylor]: Taking taylor expansion of 0 in R 4.155 * [taylor]: Taking taylor expansion of 0 in R 4.156 * [taylor]: Taking taylor expansion of 0 in R 4.156 * [taylor]: Taking taylor expansion of 0 in R 4.158 * * * [progress]: simplifying candidates 4.159 * [simplify]: Simplifying using # : (log (pow (* (cbrt (exp (sin lambda1))) (cbrt (exp (sin lambda1)))) (sin lambda2))) (log (pow (cbrt (exp (sin lambda1))) (sin lambda2))) (log (pow (sqrt (exp (sin lambda1))) (sin lambda2))) (log (pow (sqrt (exp (sin lambda1))) (sin lambda2))) (log (pow 1 (sin lambda2))) (log (pow (exp (sin lambda1)) (sin lambda2))) (log (* (cbrt (pow (exp (sin lambda1)) (sin lambda2))) (cbrt (pow (exp (sin lambda1)) (sin lambda2))))) (log (cbrt (pow (exp (sin lambda1)) (sin lambda2)))) (log (sqrt (pow (exp (sin lambda1)) (sin lambda2)))) (log (sqrt (pow (exp (sin lambda1)) (sin lambda2)))) (log 1) (log (pow (exp (sin lambda1)) (sin lambda2))) (log (pow (exp (sin lambda1)) (/ (sin lambda2) 2))) (log (pow (exp (sin lambda1)) (/ (sin lambda2) 2))) (log (exp (sin lambda1))) (log (log (pow (exp (sin lambda1)) (sin lambda2)))) (exp (log (pow (exp (sin lambda1)) (sin lambda2)))) (* (cbrt (log (pow (exp (sin lambda1)) (sin lambda2)))) (cbrt (log (pow (exp (sin lambda1)) (sin lambda2))))) (cbrt (log (pow (exp (sin lambda1)) (sin lambda2)))) (* (* (log (pow (exp (sin lambda1)) (sin lambda2))) (log (pow (exp (sin lambda1)) (sin lambda2)))) (log (pow (exp (sin lambda1)) (sin lambda2)))) (sqrt (log (pow (exp (sin lambda1)) (sin lambda2)))) (sqrt (log (pow (exp (sin lambda1)) (sin lambda2)))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (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 phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (log (pow (exp (sin lambda1)) (sin lambda2)))))))) R) (- (+ (* (log 1) lambda2) (* lambda2 lambda1)) (* 1/6 (* (log 1) (pow lambda2 3)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (* (cos phi2) (cos phi1)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (* (cos phi2) (cos phi1)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (cos phi1) (* (log (pow (exp (sin lambda1)) (sin lambda2))) (cos phi2)))))) R) 4.196 * * [simplify]: iteration 0 : 5044 enodes (cost 1204 ) 4.200 * [simplify]: Simplified to: (* (sin lambda2) (* 2 (log (cbrt (exp (sin lambda1)))))) (* (sin lambda2) (log (cbrt (exp (sin lambda1))))) (* (sin lambda2) (log (sqrt (exp (sin lambda1))))) (* (sin lambda2) (log (sqrt (exp (sin lambda1))))) (log 1) (* (sin lambda1) (sin lambda2)) (* (log (cbrt (pow (exp (sin lambda1)) (sin lambda2)))) 2) (log (cbrt (pow (exp (sin lambda1)) (sin lambda2)))) (* (sin lambda1) (/ (sin lambda2) 2)) (* (sin lambda1) (/ (sin lambda2) 2)) (log 1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (/ (sin lambda2) 2)) (* (sin lambda1) (/ (sin lambda2) 2)) (sin lambda1) (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (+ (* lambda1 lambda2) (* (log 1) (- lambda2 (* 1/6 (pow lambda2 3))))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) R) 4.200 * * * [progress]: adding candidates to table 4.282 * * [progress]: iteration 4 / 4 4.283 * * * [progress]: picking best candidate 4.415 * * * * [pick]: Picked # 4.415 * * * [progress]: localizing error 4.451 * * * [progress]: generating rewritten candidates 4.452 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.453 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2 2 2) 4.454 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 2 1 2 2) 4.456 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 2 1 2 1) 4.459 * * * [progress]: generating series expansions 4.459 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.459 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.459 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.459 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.460 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.460 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 4.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 4.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 4.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 4.464 * [taylor]: Taking taylor expansion of 0 in phi2 4.464 * [taylor]: Taking taylor expansion of 0 in lambda1 4.464 * [taylor]: Taking taylor expansion of 0 in lambda2 4.464 * [taylor]: Taking taylor expansion of 0 in lambda1 4.464 * [taylor]: Taking taylor expansion of 0 in lambda2 4.464 * [taylor]: Taking taylor expansion of 0 in lambda2 4.464 * [taylor]: Taking taylor expansion of 0 in phi2 4.464 * [taylor]: Taking taylor expansion of 0 in lambda1 4.464 * [taylor]: Taking taylor expansion of 0 in lambda2 4.464 * [taylor]: Taking taylor expansion of 0 in lambda1 4.464 * [taylor]: Taking taylor expansion of 0 in lambda2 4.465 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 4.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 4.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 4.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in phi2 4.468 * [taylor]: Taking taylor expansion of 0 in lambda1 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in lambda1 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in phi2 4.468 * [taylor]: Taking taylor expansion of 0 in lambda1 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.468 * [taylor]: Taking taylor expansion of 0 in lambda1 4.468 * [taylor]: Taking taylor expansion of 0 in lambda2 4.469 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 4.469 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 4.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 4.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 4.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 4.473 * [taylor]: Taking taylor expansion of 0 in phi2 4.473 * [taylor]: Taking taylor expansion of 0 in lambda1 4.473 * [taylor]: Taking taylor expansion of 0 in lambda2 4.473 * [taylor]: Taking taylor expansion of 0 in lambda1 4.473 * [taylor]: Taking taylor expansion of 0 in lambda2 4.473 * [taylor]: Taking taylor expansion of 0 in lambda2 4.473 * [taylor]: Taking taylor expansion of 0 in phi2 4.473 * [taylor]: Taking taylor expansion of 0 in lambda1 4.473 * [taylor]: Taking taylor expansion of 0 in lambda2 4.473 * [taylor]: Taking taylor expansion of 0 in lambda1 4.473 * [taylor]: Taking taylor expansion of 0 in lambda2 4.474 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2 2 2) 4.474 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 4.474 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 4.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 4.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 4.474 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.474 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 4.474 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.474 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.474 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 4.474 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 4.474 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 4.474 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.474 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 4.474 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.474 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.478 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 4.478 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 4.478 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 4.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 4.479 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.479 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 4.479 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.479 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.479 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.479 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 4.479 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 4.479 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 4.479 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.479 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 4.479 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.479 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.479 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.486 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 4.486 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 4.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 4.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 4.486 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.486 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 4.486 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.486 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.486 * [taylor]: Taking taylor expansion of -1 in lambda2 4.486 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.486 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 4.486 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 4.486 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 4.486 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.486 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 4.486 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.486 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.486 * [taylor]: Taking taylor expansion of -1 in lambda2 4.486 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.493 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 2 1 2 2) 4.493 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 4.493 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 4.493 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 4.493 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 4.493 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.493 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 4.493 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.493 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.494 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 4.494 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 4.494 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 4.494 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.494 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 4.494 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.494 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.497 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 4.498 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 4.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 4.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 4.498 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.498 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 4.498 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.498 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.498 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.498 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 4.498 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 4.498 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 4.498 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.498 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 4.498 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.498 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.498 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.505 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 4.505 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 4.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 4.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 4.505 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.505 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 4.505 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.505 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.505 * [taylor]: Taking taylor expansion of -1 in lambda2 4.505 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.505 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 4.505 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 4.505 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 4.505 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.505 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 4.505 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.505 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.505 * [taylor]: Taking taylor expansion of -1 in lambda2 4.505 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.512 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 2 1 2 1) 4.512 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 4.512 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 4.512 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 4.512 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 4.512 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.512 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 4.513 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.513 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.513 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 4.513 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 4.513 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 4.513 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.513 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 4.513 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.513 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.517 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 4.517 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 4.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 4.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 4.517 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.517 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 4.517 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.517 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.517 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.517 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 4.517 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 4.517 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 4.517 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.517 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 4.517 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.517 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.517 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.524 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 4.524 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 4.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 4.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 4.524 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.524 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 4.524 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.524 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.524 * [taylor]: Taking taylor expansion of -1 in lambda2 4.524 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.524 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 4.524 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 4.524 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 4.524 * [taylor]: Taking taylor expansion of 1/3 in lambda2 4.524 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 4.524 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.524 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.524 * [taylor]: Taking taylor expansion of -1 in lambda2 4.524 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.531 * * * [progress]: simplifying candidates 4.532 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (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))))) (- (exp (* 1/3 (+ (log 1) (log lambda2)))) (+ (* 1/3240 (* (pow lambda2 4) (exp (* 1/3 (+ (log 1) (log lambda2)))))) (* 1/18 (* (pow lambda2 2) (exp (* 1/3 (+ (log 1) (log lambda2)))))))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (exp (* 1/3 (+ (log 1) (log lambda2)))) (+ (* 1/3240 (* (pow lambda2 4) (exp (* 1/3 (+ (log 1) (log lambda2)))))) (* 1/18 (* (pow lambda2 2) (exp (* 1/3 (+ (log 1) (log lambda2)))))))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (exp (* 1/3 (+ (log 1) (log lambda2)))) (+ (* 1/3240 (* (pow lambda2 4) (exp (* 1/3 (+ (log 1) (log lambda2)))))) (* 1/18 (* (pow lambda2 2) (exp (* 1/3 (+ (log 1) (log lambda2)))))))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) 4.557 * * [simplify]: iteration 0 : 4851 enodes (cost 517 ) 4.557 * * [simplify]: iteration 1 : 4851 enodes (cost 517 ) 4.559 * [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)))))))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (pow (sin lambda2) 2/3)) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) 1 (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (pow (sin lambda2) 2/3)) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) 1 (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (pow (sin lambda2) 2/3)) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) 1 (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (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))))))) (- (cbrt lambda2) (* (pow lambda2 7/3) (+ 1/18 (* lambda2 (* lambda2 1/3240))))) (cbrt (sin lambda2)) (cbrt (sin lambda2)) (- (cbrt lambda2) (* (pow lambda2 7/3) (+ 1/18 (* lambda2 (* lambda2 1/3240))))) (cbrt (sin lambda2)) (cbrt (sin lambda2)) (- (cbrt lambda2) (* (pow lambda2 7/3) (+ 1/18 (* lambda2 (* lambda2 1/3240))))) (cbrt (sin lambda2)) (cbrt (sin lambda2)) 4.560 * * * [progress]: adding candidates to table 4.620 * [progress]: [Phase 3 of 3] Extracting. 4.621 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # #) 4.641 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 4.641 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # # #) 4.836 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # #) 4.931 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # # #) 5.129 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # #) 5.225 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # # #) 5.419 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # # #) 5.612 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # # #) 5.805 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # # #) 6.002 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # # #) 6.195 * * * [regime]: Found split indices: #