8.780 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.262 * * * [progress]: [2/2] Setting up program. 0.266 * [progress]: [Phase 2 of 3] Improving. 0.266 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.270 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.271 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.272 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.274 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.274 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.274 * * [progress]: iteration 1 / 4 0.274 * * * [progress]: picking best candidate 0.278 * * * * [pick]: Picked # 0.278 * * * [progress]: localizing error 0.303 * * * [progress]: generating rewritten candidates 0.303 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.308 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.309 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.311 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.317 * * * [progress]: generating series expansions 0.317 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.317 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.317 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.317 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.318 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.318 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.318 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.318 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.319 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.319 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.319 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.322 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.322 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.322 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.325 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.325 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.325 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.325 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.325 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.325 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.328 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.329 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.329 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.330 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.330 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.333 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.334 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.334 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.335 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in phi2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda1 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda1 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in phi2 0.342 * [taylor]: Taking taylor expansion of 0 in lambda1 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [taylor]: Taking taylor expansion of 0 in lambda1 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.343 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in phi2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in phi2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in lambda1 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.346 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.346 * [taylor]: Taking taylor expansion of R in R 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.346 * [taylor]: Taking taylor expansion of R in lambda2 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.346 * [taylor]: Taking taylor expansion of R in lambda1 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.347 * [taylor]: Taking taylor expansion of R in phi2 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.347 * [taylor]: Taking taylor expansion of R in phi1 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.347 * [taylor]: Taking taylor expansion of R in phi1 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.348 * [taylor]: Taking taylor expansion of R in phi2 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.348 * [taylor]: Taking taylor expansion of R in lambda1 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.348 * [taylor]: Taking taylor expansion of R in lambda2 0.349 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.349 * [taylor]: Taking taylor expansion of R in R 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.350 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.354 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.354 * [taylor]: Taking taylor expansion of R in R 0.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.355 * [taylor]: Taking taylor expansion of R in lambda2 0.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.355 * [taylor]: Taking taylor expansion of R in lambda1 0.356 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.356 * [taylor]: Taking taylor expansion of R in phi2 0.356 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.357 * [taylor]: Taking taylor expansion of R in phi1 0.357 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.357 * [taylor]: Taking taylor expansion of R in phi1 0.358 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.358 * [taylor]: Taking taylor expansion of R in phi2 0.358 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.358 * [taylor]: Taking taylor expansion of R in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.359 * [taylor]: Taking taylor expansion of R in lambda2 0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.360 * [taylor]: Taking taylor expansion of R in R 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.372 * [taylor]: Taking taylor expansion of -1 in R 0.372 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.372 * [taylor]: Taking taylor expansion of R in R 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.372 * [taylor]: Taking taylor expansion of -1 in lambda2 0.372 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.373 * [taylor]: Taking taylor expansion of R in lambda2 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.373 * [taylor]: Taking taylor expansion of -1 in lambda1 0.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.373 * [taylor]: Taking taylor expansion of R in lambda1 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.374 * [taylor]: Taking taylor expansion of -1 in phi2 0.374 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.374 * [taylor]: Taking taylor expansion of R in phi2 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.374 * [taylor]: Taking taylor expansion of -1 in phi1 0.374 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.374 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.375 * [taylor]: Taking taylor expansion of -1 in phi1 0.375 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.376 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.376 * [taylor]: Taking taylor expansion of -1 in phi2 0.376 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.376 * [taylor]: Taking taylor expansion of R in phi2 0.377 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.377 * [taylor]: Taking taylor expansion of -1 in lambda1 0.377 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.377 * [taylor]: Taking taylor expansion of R in lambda1 0.378 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.378 * [taylor]: Taking taylor expansion of -1 in lambda2 0.378 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.378 * [taylor]: Taking taylor expansion of R in lambda2 0.378 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.378 * [taylor]: Taking taylor expansion of -1 in R 0.378 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.379 * [taylor]: Taking taylor expansion of R in R 0.381 * [taylor]: Taking taylor expansion of 0 in phi2 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.393 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.393 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.393 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.393 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.394 * [taylor]: Taking taylor expansion of phi1 in phi2 0.394 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.394 * [taylor]: Taking taylor expansion of phi2 in phi2 0.394 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of 0 in phi2 0.396 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.396 * [taylor]: Taking taylor expansion of phi2 in phi2 0.399 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.404 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.404 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.404 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.404 * [taylor]: Taking taylor expansion of phi2 in phi2 0.409 * [taylor]: Taking taylor expansion of 0 in phi2 0.410 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.410 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.410 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.410 * [taylor]: Taking taylor expansion of phi1 in phi2 0.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.410 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.410 * [taylor]: Taking taylor expansion of phi2 in phi2 0.410 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.410 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.410 * [taylor]: Taking taylor expansion of phi1 in phi1 0.410 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.410 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.410 * [taylor]: Taking taylor expansion of phi2 in phi1 0.411 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.411 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.411 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.411 * [taylor]: Taking taylor expansion of phi1 in phi1 0.411 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.411 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.411 * [taylor]: Taking taylor expansion of phi2 in phi1 0.411 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.411 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.411 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.411 * [taylor]: Taking taylor expansion of phi1 in phi2 0.411 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.411 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.411 * [taylor]: Taking taylor expansion of phi2 in phi2 0.414 * [taylor]: Taking taylor expansion of 0 in phi2 0.417 * [taylor]: Taking taylor expansion of 0 in phi2 0.423 * [taylor]: Taking taylor expansion of 0 in phi2 0.423 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.423 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.423 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.423 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.423 * [taylor]: Taking taylor expansion of -1 in phi2 0.423 * [taylor]: Taking taylor expansion of phi1 in phi2 0.423 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.423 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.423 * [taylor]: Taking taylor expansion of -1 in phi2 0.423 * [taylor]: Taking taylor expansion of phi2 in phi2 0.423 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.423 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.423 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.423 * [taylor]: Taking taylor expansion of -1 in phi1 0.423 * [taylor]: Taking taylor expansion of phi1 in phi1 0.424 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.424 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.424 * [taylor]: Taking taylor expansion of -1 in phi1 0.424 * [taylor]: Taking taylor expansion of phi2 in phi1 0.424 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.424 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.424 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.424 * [taylor]: Taking taylor expansion of -1 in phi1 0.424 * [taylor]: Taking taylor expansion of phi1 in phi1 0.424 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.424 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.424 * [taylor]: Taking taylor expansion of -1 in phi1 0.424 * [taylor]: Taking taylor expansion of phi2 in phi1 0.425 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.425 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.425 * [taylor]: Taking taylor expansion of -1 in phi2 0.425 * [taylor]: Taking taylor expansion of phi1 in phi2 0.425 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.425 * [taylor]: Taking taylor expansion of -1 in phi2 0.425 * [taylor]: Taking taylor expansion of phi2 in phi2 0.427 * [taylor]: Taking taylor expansion of 0 in phi2 0.431 * [taylor]: Taking taylor expansion of 0 in phi2 0.437 * [taylor]: Taking taylor expansion of 0 in phi2 0.437 * * * [progress]: simplifying candidates 0.438 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.442 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.445 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.455 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.480 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.483 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.483 * * * [progress]: adding candidates to table 0.732 * * [progress]: iteration 2 / 4 0.732 * * * [progress]: picking best candidate 0.794 * * * * [pick]: Picked # 0.794 * * * [progress]: localizing error 0.826 * * * [progress]: generating rewritten candidates 0.826 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.827 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.830 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.834 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.853 * * * [progress]: generating series expansions 0.853 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.854 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.854 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.855 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.855 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.855 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.856 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.856 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.856 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.857 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.858 * [taylor]: Taking taylor expansion of 0 in phi2 0.858 * [taylor]: Taking taylor expansion of 0 in lambda1 0.858 * [taylor]: Taking taylor expansion of 0 in lambda2 0.858 * [taylor]: Taking taylor expansion of 0 in lambda1 0.858 * [taylor]: Taking taylor expansion of 0 in lambda2 0.858 * [taylor]: Taking taylor expansion of 0 in lambda2 0.858 * [taylor]: Taking taylor expansion of 0 in phi2 0.858 * [taylor]: Taking taylor expansion of 0 in lambda1 0.858 * [taylor]: Taking taylor expansion of 0 in lambda2 0.858 * [taylor]: Taking taylor expansion of 0 in lambda1 0.858 * [taylor]: Taking taylor expansion of 0 in lambda2 0.859 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.859 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.859 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.860 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.860 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.861 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.861 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.862 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.862 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.863 * [taylor]: Taking taylor expansion of 0 in phi2 0.863 * [taylor]: Taking taylor expansion of 0 in lambda1 0.863 * [taylor]: Taking taylor expansion of 0 in lambda2 0.864 * [taylor]: Taking taylor expansion of 0 in lambda1 0.864 * [taylor]: Taking taylor expansion of 0 in lambda2 0.864 * [taylor]: Taking taylor expansion of 0 in lambda2 0.864 * [taylor]: Taking taylor expansion of 0 in phi2 0.864 * [taylor]: Taking taylor expansion of 0 in lambda1 0.864 * [taylor]: Taking taylor expansion of 0 in lambda2 0.864 * [taylor]: Taking taylor expansion of 0 in lambda1 0.864 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.865 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.865 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.866 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.866 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.867 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.867 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.868 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.868 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.869 * [taylor]: Taking taylor expansion of 0 in phi2 0.869 * [taylor]: Taking taylor expansion of 0 in lambda1 0.869 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [taylor]: Taking taylor expansion of 0 in lambda1 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [taylor]: Taking taylor expansion of 0 in phi2 0.870 * [taylor]: Taking taylor expansion of 0 in lambda1 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * [taylor]: Taking taylor expansion of 0 in lambda1 0.870 * [taylor]: Taking taylor expansion of 0 in lambda2 0.870 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.871 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.871 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.871 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.871 * [taylor]: Taking taylor expansion of R in R 0.871 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.871 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.872 * [taylor]: Taking taylor expansion of R in lambda2 0.872 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.872 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.872 * [taylor]: Taking taylor expansion of R in lambda1 0.872 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.872 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.872 * [taylor]: Taking taylor expansion of R in phi2 0.872 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.873 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.873 * [taylor]: Taking taylor expansion of R in phi1 0.873 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.873 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.873 * [taylor]: Taking taylor expansion of R in phi1 0.874 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.874 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.874 * [taylor]: Taking taylor expansion of R in phi2 0.874 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.875 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.875 * [taylor]: Taking taylor expansion of R in lambda1 0.875 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.875 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.876 * [taylor]: Taking taylor expansion of R in lambda2 0.876 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.876 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.876 * [taylor]: Taking taylor expansion of R in R 0.877 * [taylor]: Taking taylor expansion of 0 in phi2 0.877 * [taylor]: Taking taylor expansion of 0 in lambda1 0.877 * [taylor]: Taking taylor expansion of 0 in lambda2 0.877 * [taylor]: Taking taylor expansion of 0 in R 0.878 * [taylor]: Taking taylor expansion of 0 in lambda1 0.878 * [taylor]: Taking taylor expansion of 0 in lambda2 0.878 * [taylor]: Taking taylor expansion of 0 in R 0.878 * [taylor]: Taking taylor expansion of 0 in lambda2 0.878 * [taylor]: Taking taylor expansion of 0 in R 0.879 * [taylor]: Taking taylor expansion of 0 in R 0.881 * [taylor]: Taking taylor expansion of 0 in phi2 0.881 * [taylor]: Taking taylor expansion of 0 in lambda1 0.881 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [taylor]: Taking taylor expansion of 0 in R 0.881 * [taylor]: Taking taylor expansion of 0 in lambda1 0.881 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [taylor]: Taking taylor expansion of 0 in R 0.882 * [taylor]: Taking taylor expansion of 0 in lambda1 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in R 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in R 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in R 0.885 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [taylor]: Taking taylor expansion of 0 in R 0.887 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.887 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.887 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.888 * [taylor]: Taking taylor expansion of R in R 0.888 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.888 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.889 * [taylor]: Taking taylor expansion of R in lambda2 0.889 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.890 * [taylor]: Taking taylor expansion of R in lambda1 0.890 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.891 * [taylor]: Taking taylor expansion of R in phi2 0.891 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.892 * [taylor]: Taking taylor expansion of R in phi1 0.892 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.893 * [taylor]: Taking taylor expansion of R in phi1 0.893 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.894 * [taylor]: Taking taylor expansion of R in phi2 0.894 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.895 * [taylor]: Taking taylor expansion of R in lambda1 0.895 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.896 * [taylor]: Taking taylor expansion of R in lambda2 0.896 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.897 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.897 * [taylor]: Taking taylor expansion of R in R 0.899 * [taylor]: Taking taylor expansion of 0 in phi2 0.899 * [taylor]: Taking taylor expansion of 0 in lambda1 0.899 * [taylor]: Taking taylor expansion of 0 in lambda2 0.899 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [taylor]: Taking taylor expansion of 0 in lambda1 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.900 * [taylor]: Taking taylor expansion of 0 in lambda2 0.900 * [taylor]: Taking taylor expansion of 0 in R 0.901 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [taylor]: Taking taylor expansion of 0 in phi2 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [taylor]: Taking taylor expansion of 0 in lambda1 0.904 * [taylor]: Taking taylor expansion of 0 in lambda2 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [taylor]: Taking taylor expansion of 0 in lambda2 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.904 * [taylor]: Taking taylor expansion of 0 in lambda2 0.904 * [taylor]: Taking taylor expansion of 0 in R 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.905 * [taylor]: Taking taylor expansion of 0 in R 0.905 * [taylor]: Taking taylor expansion of 0 in R 0.905 * [taylor]: Taking taylor expansion of 0 in R 0.905 * [taylor]: Taking taylor expansion of 0 in R 0.906 * [taylor]: Taking taylor expansion of 0 in R 0.909 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.909 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.909 * [taylor]: Taking taylor expansion of -1 in R 0.909 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.909 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.910 * [taylor]: Taking taylor expansion of R in R 0.910 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.910 * [taylor]: Taking taylor expansion of -1 in lambda2 0.910 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.910 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.911 * [taylor]: Taking taylor expansion of R in lambda2 0.911 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.911 * [taylor]: Taking taylor expansion of -1 in lambda1 0.911 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.911 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.912 * [taylor]: Taking taylor expansion of R in lambda1 0.912 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.913 * [taylor]: Taking taylor expansion of -1 in phi2 0.913 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.913 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.913 * [taylor]: Taking taylor expansion of R in phi2 0.914 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.914 * [taylor]: Taking taylor expansion of -1 in phi1 0.914 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.914 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.914 * [taylor]: Taking taylor expansion of R in phi1 0.915 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.915 * [taylor]: Taking taylor expansion of -1 in phi1 0.915 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.915 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.915 * [taylor]: Taking taylor expansion of R in phi1 0.916 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.916 * [taylor]: Taking taylor expansion of -1 in phi2 0.916 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.916 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.917 * [taylor]: Taking taylor expansion of R in phi2 0.918 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.918 * [taylor]: Taking taylor expansion of -1 in lambda1 0.918 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.918 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.918 * [taylor]: Taking taylor expansion of R in lambda1 0.919 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.920 * [taylor]: Taking taylor expansion of -1 in lambda2 0.920 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.920 * [taylor]: Taking taylor expansion of R in lambda2 0.921 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.921 * [taylor]: Taking taylor expansion of -1 in R 0.921 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.922 * [taylor]: Taking taylor expansion of R in R 0.925 * [taylor]: Taking taylor expansion of 0 in phi2 0.925 * [taylor]: Taking taylor expansion of 0 in lambda1 0.925 * [taylor]: Taking taylor expansion of 0 in lambda2 0.925 * [taylor]: Taking taylor expansion of 0 in R 0.927 * [taylor]: Taking taylor expansion of 0 in lambda1 0.927 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [taylor]: Taking taylor expansion of 0 in R 0.928 * [taylor]: Taking taylor expansion of 0 in lambda2 0.928 * [taylor]: Taking taylor expansion of 0 in R 0.930 * [taylor]: Taking taylor expansion of 0 in R 0.934 * [taylor]: Taking taylor expansion of 0 in phi2 0.934 * [taylor]: Taking taylor expansion of 0 in lambda1 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.934 * [taylor]: Taking taylor expansion of 0 in lambda1 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in lambda1 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in R 0.938 * [taylor]: Taking taylor expansion of 0 in R 0.938 * [taylor]: Taking taylor expansion of 0 in R 0.938 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.943 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.943 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.943 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.943 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.943 * [taylor]: Taking taylor expansion of phi1 in phi2 0.943 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.944 * [taylor]: Taking taylor expansion of phi2 in phi2 0.944 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.944 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.944 * [taylor]: Taking taylor expansion of phi1 in phi1 0.944 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.944 * [taylor]: Taking taylor expansion of phi2 in phi1 0.944 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.944 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.944 * [taylor]: Taking taylor expansion of phi1 in phi1 0.944 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.944 * [taylor]: Taking taylor expansion of phi2 in phi1 0.944 * [taylor]: Taking taylor expansion of 0 in phi2 0.946 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.946 * [taylor]: Taking taylor expansion of phi2 in phi2 0.949 * [taylor]: Taking taylor expansion of 0 in phi2 0.954 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.954 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.954 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.954 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.954 * [taylor]: Taking taylor expansion of phi2 in phi2 0.960 * [taylor]: Taking taylor expansion of 0 in phi2 0.960 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.960 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.960 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.960 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.960 * [taylor]: Taking taylor expansion of phi1 in phi2 0.960 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.960 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.960 * [taylor]: Taking taylor expansion of phi2 in phi2 0.960 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.960 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.960 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.960 * [taylor]: Taking taylor expansion of phi1 in phi1 0.961 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.961 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.961 * [taylor]: Taking taylor expansion of phi2 in phi1 0.961 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.961 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.961 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.961 * [taylor]: Taking taylor expansion of phi1 in phi1 0.961 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.961 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.961 * [taylor]: Taking taylor expansion of phi2 in phi1 0.961 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.961 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.961 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.962 * [taylor]: Taking taylor expansion of phi1 in phi2 0.962 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.962 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.962 * [taylor]: Taking taylor expansion of phi2 in phi2 0.964 * [taylor]: Taking taylor expansion of 0 in phi2 0.968 * [taylor]: Taking taylor expansion of 0 in phi2 0.977 * [taylor]: Taking taylor expansion of 0 in phi2 0.977 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.977 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.977 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.977 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.977 * [taylor]: Taking taylor expansion of -1 in phi2 0.977 * [taylor]: Taking taylor expansion of phi1 in phi2 0.977 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.977 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.977 * [taylor]: Taking taylor expansion of -1 in phi2 0.977 * [taylor]: Taking taylor expansion of phi2 in phi2 0.977 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.978 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.978 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.978 * [taylor]: Taking taylor expansion of -1 in phi1 0.978 * [taylor]: Taking taylor expansion of phi1 in phi1 0.978 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.978 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.978 * [taylor]: Taking taylor expansion of -1 in phi1 0.978 * [taylor]: Taking taylor expansion of phi2 in phi1 0.978 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.978 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.978 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.978 * [taylor]: Taking taylor expansion of -1 in phi1 0.978 * [taylor]: Taking taylor expansion of phi1 in phi1 0.978 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.978 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.978 * [taylor]: Taking taylor expansion of -1 in phi1 0.979 * [taylor]: Taking taylor expansion of phi2 in phi1 0.979 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.979 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.979 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.979 * [taylor]: Taking taylor expansion of -1 in phi2 0.979 * [taylor]: Taking taylor expansion of phi1 in phi2 0.979 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.979 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.979 * [taylor]: Taking taylor expansion of -1 in phi2 0.979 * [taylor]: Taking taylor expansion of phi2 in phi2 0.981 * [taylor]: Taking taylor expansion of 0 in phi2 0.986 * [taylor]: Taking taylor expansion of 0 in phi2 0.991 * [taylor]: Taking taylor expansion of 0 in phi2 0.991 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.991 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.991 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 0.991 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.992 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.992 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 0.992 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.992 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.992 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 0.992 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 0.992 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 0.992 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.992 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.992 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.992 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.992 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.992 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.992 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.992 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.992 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 0.992 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.992 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.992 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 0.992 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.992 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.992 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 0.992 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.992 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.992 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.992 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.992 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.992 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.992 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.992 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.992 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.992 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.992 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 0.992 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.992 * [taylor]: Taking taylor expansion of phi1 in phi2 0.992 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 0.992 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.992 * [taylor]: Taking taylor expansion of phi2 in phi2 0.992 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 0.992 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 0.992 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.992 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.993 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.993 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.993 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 0.993 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.993 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.993 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.993 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.993 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 0.993 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.993 * [taylor]: Taking taylor expansion of phi1 in phi1 0.993 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 0.993 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.993 * [taylor]: Taking taylor expansion of phi2 in phi1 0.993 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 0.993 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 0.993 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 0.993 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.993 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 0.993 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.993 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 0.993 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.993 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.993 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.993 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.993 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 0.993 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.993 * [taylor]: Taking taylor expansion of phi1 in phi1 0.993 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 0.993 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.993 * [taylor]: Taking taylor expansion of phi2 in phi1 0.993 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 0.993 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 0.993 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 0.993 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.993 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 0.993 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.993 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 0.993 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.994 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.994 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.994 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.995 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 0.995 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.995 * [taylor]: Taking taylor expansion of phi2 in phi2 0.995 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 0.995 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 0.995 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.995 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.996 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.996 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.996 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 0.996 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.996 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.996 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.996 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.997 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 0.997 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.997 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.997 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.997 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.997 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.997 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.997 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.997 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.997 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.997 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.997 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.997 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in phi2 1.006 * [taylor]: Taking taylor expansion of 0 in lambda1 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in lambda1 1.014 * [taylor]: Taking taylor expansion of 0 in lambda2 1.018 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.018 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.031 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 1.031 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.031 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.031 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.031 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.031 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.031 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.031 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.031 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.031 * [taylor]: Taking taylor expansion of phi2 in phi2 1.031 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.031 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.031 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.031 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.031 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.031 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.031 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.031 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.031 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.031 * [taylor]: Taking taylor expansion of phi2 in phi2 1.031 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.031 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.032 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.033 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.033 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.033 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.033 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.033 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.033 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.033 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.033 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.033 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.033 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.033 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.033 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.033 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.033 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.034 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.034 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.034 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.034 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.034 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.034 * [taylor]: Taking taylor expansion of 0 in lambda1 1.035 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.044 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.044 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.044 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.044 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.044 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.044 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.044 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.044 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.044 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.044 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.044 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.044 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.044 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.045 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.045 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.045 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.045 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.045 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.045 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.045 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.047 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.047 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.047 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.047 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.047 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.047 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.047 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.047 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.047 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.047 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.047 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.047 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.047 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.047 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.047 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.047 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.047 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.047 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.047 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.047 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.047 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.048 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.048 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.048 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.048 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.048 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.048 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.048 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.048 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.048 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.048 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.048 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.048 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.048 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.048 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.048 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.048 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.048 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.048 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.049 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.049 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.049 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.049 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.049 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.049 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.049 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.049 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.049 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.049 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.049 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.049 * [taylor]: Taking taylor expansion of phi2 in phi2 1.049 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.049 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.049 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.049 * [taylor]: Taking taylor expansion of phi1 in phi2 1.050 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.050 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.050 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.050 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.050 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.050 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.050 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.050 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.050 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.050 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.050 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.050 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.050 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.050 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.050 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.050 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.050 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.050 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.050 * [taylor]: Taking taylor expansion of phi2 in phi1 1.050 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.050 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.050 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.050 * [taylor]: Taking taylor expansion of phi1 in phi1 1.051 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.051 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.051 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.051 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.051 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.051 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.051 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.051 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.051 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.051 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.051 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.051 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.051 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.051 * [taylor]: Taking taylor expansion of phi2 in phi1 1.051 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.051 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.051 * [taylor]: Taking taylor expansion of phi1 in phi1 1.052 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.052 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.052 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.052 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.052 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.052 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.052 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.052 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.052 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.052 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.052 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.052 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.052 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.052 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.052 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.054 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.054 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.054 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.054 * [taylor]: Taking taylor expansion of phi2 in phi2 1.054 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.054 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.055 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.055 * [taylor]: Taking taylor expansion of phi1 in phi2 1.055 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.055 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.055 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.055 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.055 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.055 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.055 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.055 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.055 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.055 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.055 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.055 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.055 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.055 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.055 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.057 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.057 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.057 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.057 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.057 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.057 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.057 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.057 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.057 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.057 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.057 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.057 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.058 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.058 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.058 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.058 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.058 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.064 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.064 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.064 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.064 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.065 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.065 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.065 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.065 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.065 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.065 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.065 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.065 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.065 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.065 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.065 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.065 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.066 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.066 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.066 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.077 * [taylor]: Taking taylor expansion of 0 in phi2 1.077 * [taylor]: Taking taylor expansion of 0 in lambda1 1.077 * [taylor]: Taking taylor expansion of 0 in lambda2 1.087 * [taylor]: Taking taylor expansion of 0 in lambda1 1.087 * [taylor]: Taking taylor expansion of 0 in lambda2 1.094 * [taylor]: Taking taylor expansion of 0 in lambda2 1.115 * [taylor]: Taking taylor expansion of 0 in phi2 1.115 * [taylor]: Taking taylor expansion of 0 in lambda1 1.115 * [taylor]: Taking taylor expansion of 0 in lambda2 1.115 * [taylor]: Taking taylor expansion of 0 in lambda1 1.115 * [taylor]: Taking taylor expansion of 0 in lambda2 1.115 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.115 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.115 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.115 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.115 * [taylor]: Taking taylor expansion of -1 in lambda2 1.116 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.116 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.116 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.116 * [taylor]: Taking taylor expansion of -1 in lambda2 1.116 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.116 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.116 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.116 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.116 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.116 * [taylor]: Taking taylor expansion of -1 in lambda2 1.116 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.116 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.116 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.116 * [taylor]: Taking taylor expansion of -1 in lambda2 1.116 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.117 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.117 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.117 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.117 * [taylor]: Taking taylor expansion of -1 in lambda2 1.117 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.117 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.117 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.117 * [taylor]: Taking taylor expansion of -1 in lambda2 1.117 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.117 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.117 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.117 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.117 * [taylor]: Taking taylor expansion of -1 in lambda1 1.117 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.117 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.117 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.117 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.117 * [taylor]: Taking taylor expansion of -1 in lambda1 1.117 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.117 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.117 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.117 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.117 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.118 * [taylor]: Taking taylor expansion of -1 in lambda1 1.118 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.118 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.118 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.118 * [taylor]: Taking taylor expansion of -1 in lambda1 1.118 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.118 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.118 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.118 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.118 * [taylor]: Taking taylor expansion of -1 in lambda1 1.118 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.118 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.118 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.118 * [taylor]: Taking taylor expansion of -1 in lambda1 1.119 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.119 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.119 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.119 * [taylor]: Taking taylor expansion of -1 in phi2 1.119 * [taylor]: Taking taylor expansion of phi1 in phi2 1.119 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.119 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.119 * [taylor]: Taking taylor expansion of -1 in phi2 1.119 * [taylor]: Taking taylor expansion of phi2 in phi2 1.119 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.119 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.119 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.119 * [taylor]: Taking taylor expansion of -1 in phi2 1.119 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.119 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.119 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.119 * [taylor]: Taking taylor expansion of -1 in phi2 1.119 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.120 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.120 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.120 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.120 * [taylor]: Taking taylor expansion of -1 in phi2 1.120 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.120 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.120 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.120 * [taylor]: Taking taylor expansion of -1 in phi2 1.120 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.120 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.120 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.120 * [taylor]: Taking taylor expansion of -1 in phi1 1.120 * [taylor]: Taking taylor expansion of phi1 in phi1 1.120 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.120 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.120 * [taylor]: Taking taylor expansion of -1 in phi1 1.120 * [taylor]: Taking taylor expansion of phi2 in phi1 1.120 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.120 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.120 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.120 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.120 * [taylor]: Taking taylor expansion of -1 in phi1 1.121 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.121 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.121 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.121 * [taylor]: Taking taylor expansion of -1 in phi1 1.121 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.121 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.121 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.121 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.121 * [taylor]: Taking taylor expansion of -1 in phi1 1.121 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.121 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.121 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.121 * [taylor]: Taking taylor expansion of -1 in phi1 1.121 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.121 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.121 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.121 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.121 * [taylor]: Taking taylor expansion of -1 in phi1 1.121 * [taylor]: Taking taylor expansion of phi1 in phi1 1.122 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.122 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.122 * [taylor]: Taking taylor expansion of -1 in phi1 1.122 * [taylor]: Taking taylor expansion of phi2 in phi1 1.122 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.122 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.122 * [taylor]: Taking taylor expansion of -1 in phi1 1.122 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.122 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.122 * [taylor]: Taking taylor expansion of -1 in phi1 1.122 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.122 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.122 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.122 * [taylor]: Taking taylor expansion of -1 in phi1 1.122 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.122 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.122 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.122 * [taylor]: Taking taylor expansion of -1 in phi1 1.122 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.124 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of phi1 in phi2 1.125 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of phi2 in phi2 1.125 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.125 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.125 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.125 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.125 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.125 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.125 * [taylor]: Taking taylor expansion of -1 in phi2 1.125 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.126 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.126 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.126 * [taylor]: Taking taylor expansion of -1 in phi2 1.126 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.128 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.128 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.128 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.128 * [taylor]: Taking taylor expansion of -1 in lambda1 1.128 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.128 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.128 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.128 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.128 * [taylor]: Taking taylor expansion of -1 in lambda1 1.128 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.128 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.128 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.128 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.128 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.128 * [taylor]: Taking taylor expansion of -1 in lambda1 1.128 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.129 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.129 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.129 * [taylor]: Taking taylor expansion of -1 in lambda1 1.129 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.129 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.129 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.129 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.129 * [taylor]: Taking taylor expansion of -1 in lambda1 1.129 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.129 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.129 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.129 * [taylor]: Taking taylor expansion of -1 in lambda1 1.129 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.131 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.131 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.131 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.131 * [taylor]: Taking taylor expansion of -1 in lambda2 1.131 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.131 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.131 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.131 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.131 * [taylor]: Taking taylor expansion of -1 in lambda2 1.131 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.131 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.131 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.131 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.131 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.132 * [taylor]: Taking taylor expansion of -1 in lambda2 1.132 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.132 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.132 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.132 * [taylor]: Taking taylor expansion of -1 in lambda2 1.132 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.132 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.132 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.132 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.132 * [taylor]: Taking taylor expansion of -1 in lambda2 1.132 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.132 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.132 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.132 * [taylor]: Taking taylor expansion of -1 in lambda2 1.132 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.144 * [taylor]: Taking taylor expansion of 0 in phi2 1.144 * [taylor]: Taking taylor expansion of 0 in lambda1 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [taylor]: Taking taylor expansion of 0 in lambda1 1.154 * [taylor]: Taking taylor expansion of 0 in lambda2 1.166 * [taylor]: Taking taylor expansion of 0 in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in phi2 1.187 * [taylor]: Taking taylor expansion of 0 in lambda1 1.187 * [taylor]: Taking taylor expansion of 0 in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in lambda1 1.187 * [taylor]: Taking taylor expansion of 0 in lambda2 1.187 * * * [progress]: simplifying candidates 1.188 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 1.195 * * [simplify]: iteration 0 : 486 enodes (cost 1308 ) 1.205 * * [simplify]: iteration 1 : 2165 enodes (cost 1097 ) 1.249 * * [simplify]: iteration 2 : 5001 enodes (cost 1096 ) 1.253 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1.254 * * * [progress]: adding candidates to table 1.628 * * [progress]: iteration 3 / 4 1.628 * * * [progress]: picking best candidate 1.722 * * * * [pick]: Picked # 1.722 * * * [progress]: localizing error 1.761 * * * [progress]: generating rewritten candidates 1.761 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.762 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.765 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2) 1.778 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.784 * * * [progress]: generating series expansions 1.784 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.785 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.785 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.785 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.786 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.786 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.786 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.788 * [taylor]: Taking taylor expansion of 0 in phi2 1.788 * [taylor]: Taking taylor expansion of 0 in lambda1 1.788 * [taylor]: Taking taylor expansion of 0 in lambda2 1.788 * [taylor]: Taking taylor expansion of 0 in lambda1 1.788 * [taylor]: Taking taylor expansion of 0 in lambda2 1.788 * [taylor]: Taking taylor expansion of 0 in lambda2 1.788 * [taylor]: Taking taylor expansion of 0 in phi2 1.788 * [taylor]: Taking taylor expansion of 0 in lambda1 1.788 * [taylor]: Taking taylor expansion of 0 in lambda2 1.788 * [taylor]: Taking taylor expansion of 0 in lambda1 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in phi2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in phi2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.796 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.796 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in phi2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in phi2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.801 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.802 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.802 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.802 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.802 * [taylor]: Taking taylor expansion of R in R 1.802 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.802 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.803 * [taylor]: Taking taylor expansion of R in lambda2 1.803 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.803 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.803 * [taylor]: Taking taylor expansion of R in lambda1 1.803 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.803 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.804 * [taylor]: Taking taylor expansion of R in phi2 1.804 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.804 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.804 * [taylor]: Taking taylor expansion of R in phi1 1.804 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.804 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.804 * [taylor]: Taking taylor expansion of R in phi1 1.805 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.805 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.805 * [taylor]: Taking taylor expansion of R in phi2 1.806 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.806 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.806 * [taylor]: Taking taylor expansion of R in lambda1 1.806 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.806 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.807 * [taylor]: Taking taylor expansion of R in lambda2 1.807 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.807 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.807 * [taylor]: Taking taylor expansion of R in R 1.808 * [taylor]: Taking taylor expansion of 0 in phi2 1.808 * [taylor]: Taking taylor expansion of 0 in lambda1 1.808 * [taylor]: Taking taylor expansion of 0 in lambda2 1.808 * [taylor]: Taking taylor expansion of 0 in R 1.809 * [taylor]: Taking taylor expansion of 0 in lambda1 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in R 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in R 1.810 * [taylor]: Taking taylor expansion of 0 in R 1.812 * [taylor]: Taking taylor expansion of 0 in phi2 1.812 * [taylor]: Taking taylor expansion of 0 in lambda1 1.812 * [taylor]: Taking taylor expansion of 0 in lambda2 1.812 * [taylor]: Taking taylor expansion of 0 in R 1.812 * [taylor]: Taking taylor expansion of 0 in lambda1 1.812 * [taylor]: Taking taylor expansion of 0 in lambda2 1.812 * [taylor]: Taking taylor expansion of 0 in R 1.813 * [taylor]: Taking taylor expansion of 0 in lambda1 1.813 * [taylor]: Taking taylor expansion of 0 in lambda2 1.813 * [taylor]: Taking taylor expansion of 0 in R 1.813 * [taylor]: Taking taylor expansion of 0 in lambda2 1.813 * [taylor]: Taking taylor expansion of 0 in R 1.813 * [taylor]: Taking taylor expansion of 0 in lambda2 1.813 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.815 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.816 * [taylor]: Taking taylor expansion of R in R 1.816 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.817 * [taylor]: Taking taylor expansion of R in lambda2 1.817 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.818 * [taylor]: Taking taylor expansion of R in lambda1 1.818 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.819 * [taylor]: Taking taylor expansion of R in phi2 1.819 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.820 * [taylor]: Taking taylor expansion of R in phi1 1.820 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.821 * [taylor]: Taking taylor expansion of R in phi1 1.821 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.822 * [taylor]: Taking taylor expansion of R in phi2 1.822 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.823 * [taylor]: Taking taylor expansion of R in lambda1 1.823 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.824 * [taylor]: Taking taylor expansion of R in lambda2 1.825 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.825 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.825 * [taylor]: Taking taylor expansion of R in R 1.827 * [taylor]: Taking taylor expansion of 0 in phi2 1.827 * [taylor]: Taking taylor expansion of 0 in lambda1 1.827 * [taylor]: Taking taylor expansion of 0 in lambda2 1.827 * [taylor]: Taking taylor expansion of 0 in R 1.828 * [taylor]: Taking taylor expansion of 0 in lambda1 1.828 * [taylor]: Taking taylor expansion of 0 in lambda2 1.828 * [taylor]: Taking taylor expansion of 0 in R 1.828 * [taylor]: Taking taylor expansion of 0 in lambda2 1.828 * [taylor]: Taking taylor expansion of 0 in R 1.829 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in phi2 1.831 * [taylor]: Taking taylor expansion of 0 in lambda1 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda1 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in lambda1 1.832 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.837 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.837 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.837 * [taylor]: Taking taylor expansion of -1 in R 1.837 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.837 * [taylor]: Taking taylor expansion of R in R 1.838 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.838 * [taylor]: Taking taylor expansion of -1 in lambda2 1.838 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.838 * [taylor]: Taking taylor expansion of R in lambda2 1.839 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.839 * [taylor]: Taking taylor expansion of -1 in lambda1 1.839 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.839 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.839 * [taylor]: Taking taylor expansion of R in lambda1 1.840 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.840 * [taylor]: Taking taylor expansion of -1 in phi2 1.840 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.843 * [taylor]: Taking taylor expansion of R in phi2 1.844 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.844 * [taylor]: Taking taylor expansion of -1 in phi1 1.844 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.844 * [taylor]: Taking taylor expansion of R in phi1 1.845 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.845 * [taylor]: Taking taylor expansion of -1 in phi1 1.845 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.845 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.845 * [taylor]: Taking taylor expansion of R in phi1 1.846 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.847 * [taylor]: Taking taylor expansion of -1 in phi2 1.847 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.847 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.847 * [taylor]: Taking taylor expansion of R in phi2 1.848 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.848 * [taylor]: Taking taylor expansion of -1 in lambda1 1.848 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.848 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.849 * [taylor]: Taking taylor expansion of R in lambda1 1.850 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.850 * [taylor]: Taking taylor expansion of -1 in lambda2 1.850 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.850 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.850 * [taylor]: Taking taylor expansion of R in lambda2 1.851 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.851 * [taylor]: Taking taylor expansion of -1 in R 1.851 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.851 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.852 * [taylor]: Taking taylor expansion of R in R 1.855 * [taylor]: Taking taylor expansion of 0 in phi2 1.855 * [taylor]: Taking taylor expansion of 0 in lambda1 1.855 * [taylor]: Taking taylor expansion of 0 in lambda2 1.855 * [taylor]: Taking taylor expansion of 0 in R 1.857 * [taylor]: Taking taylor expansion of 0 in lambda1 1.857 * [taylor]: Taking taylor expansion of 0 in lambda2 1.857 * [taylor]: Taking taylor expansion of 0 in R 1.859 * [taylor]: Taking taylor expansion of 0 in lambda2 1.859 * [taylor]: Taking taylor expansion of 0 in R 1.860 * [taylor]: Taking taylor expansion of 0 in R 1.864 * [taylor]: Taking taylor expansion of 0 in phi2 1.864 * [taylor]: Taking taylor expansion of 0 in lambda1 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.864 * [taylor]: Taking taylor expansion of 0 in R 1.864 * [taylor]: Taking taylor expansion of 0 in lambda1 1.864 * [taylor]: Taking taylor expansion of 0 in lambda2 1.864 * [taylor]: Taking taylor expansion of 0 in R 1.866 * [taylor]: Taking taylor expansion of 0 in lambda1 1.866 * [taylor]: Taking taylor expansion of 0 in lambda2 1.866 * [taylor]: Taking taylor expansion of 0 in R 1.866 * [taylor]: Taking taylor expansion of 0 in lambda2 1.866 * [taylor]: Taking taylor expansion of 0 in R 1.866 * [taylor]: Taking taylor expansion of 0 in lambda2 1.866 * [taylor]: Taking taylor expansion of 0 in R 1.868 * [taylor]: Taking taylor expansion of 0 in lambda2 1.868 * [taylor]: Taking taylor expansion of 0 in R 1.868 * [taylor]: Taking taylor expansion of 0 in R 1.868 * [taylor]: Taking taylor expansion of 0 in R 1.868 * [taylor]: Taking taylor expansion of 0 in R 1.870 * [taylor]: Taking taylor expansion of 0 in R 1.873 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2) 1.873 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.874 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 1.874 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.874 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.874 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 1.874 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.874 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.874 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 1.874 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.874 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.874 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.874 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.874 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 1.874 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.874 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.874 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 1.874 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.874 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.874 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 1.874 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.874 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.874 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.874 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.874 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 1.874 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.874 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.874 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 1.874 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.874 * [taylor]: Taking taylor expansion of phi1 in phi2 1.874 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.874 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.874 * [taylor]: Taking taylor expansion of phi2 in phi2 1.874 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.874 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.874 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.874 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.874 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.874 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.874 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.874 * [taylor]: Taking taylor expansion of phi1 in phi1 1.875 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.875 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.875 * [taylor]: Taking taylor expansion of phi2 in phi1 1.875 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.875 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.875 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.875 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.875 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.875 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.875 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.875 * [taylor]: Taking taylor expansion of phi1 in phi1 1.875 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.875 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.875 * [taylor]: Taking taylor expansion of phi2 in phi1 1.875 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.875 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.876 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.876 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.876 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.876 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.876 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.876 * [taylor]: Taking taylor expansion of phi2 in phi2 1.876 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.876 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.876 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.876 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.876 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.876 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.876 * [taylor]: Taking taylor expansion of 0 in lambda2 1.882 * [taylor]: Taking taylor expansion of 0 in phi2 1.882 * [taylor]: Taking taylor expansion of 0 in lambda1 1.882 * [taylor]: Taking taylor expansion of 0 in lambda2 1.885 * [taylor]: Taking taylor expansion of 0 in lambda1 1.885 * [taylor]: Taking taylor expansion of 0 in lambda2 1.888 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.888 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.895 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.895 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.895 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.895 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.895 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.895 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.895 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.895 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.895 * [taylor]: Taking taylor expansion of phi2 in phi2 1.895 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.895 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.896 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.896 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.896 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.896 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.896 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.896 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.896 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.896 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.897 * [taylor]: Taking taylor expansion of 0 in lambda2 1.897 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.897 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 1.897 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.897 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.897 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.897 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 1.897 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.897 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.897 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.897 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 1.897 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.897 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.897 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.897 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.897 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.897 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.898 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.898 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.898 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.898 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.898 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.898 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.898 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.898 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.898 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.898 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.898 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.898 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.898 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.899 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.899 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 1.899 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.899 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.899 * [taylor]: Taking taylor expansion of phi2 in phi2 1.899 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.899 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.899 * [taylor]: Taking taylor expansion of phi1 in phi2 1.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.899 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.899 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.899 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.899 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.899 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.899 * [taylor]: Taking taylor expansion of phi2 in phi1 1.900 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.900 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.900 * [taylor]: Taking taylor expansion of phi1 in phi1 1.900 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.900 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.900 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.900 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.900 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.900 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.900 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.900 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.900 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.900 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.900 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.900 * [taylor]: Taking taylor expansion of phi2 in phi1 1.900 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.900 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.900 * [taylor]: Taking taylor expansion of phi1 in phi1 1.902 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 1.902 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.902 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.902 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.902 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 1.902 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.902 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.902 * [taylor]: Taking taylor expansion of phi2 in phi2 1.902 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 1.902 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.902 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.902 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.902 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.902 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.902 * [taylor]: Taking taylor expansion of phi1 in phi2 1.903 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.903 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.903 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.903 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.904 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.904 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.904 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.904 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.904 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.904 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.904 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.904 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.904 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.904 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.904 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.905 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 1.905 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.905 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.905 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.905 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 1.905 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.905 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.905 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.905 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 1.905 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.905 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.906 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.906 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.906 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.906 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.912 * [taylor]: Taking taylor expansion of 0 in phi2 1.913 * [taylor]: Taking taylor expansion of 0 in lambda1 1.913 * [taylor]: Taking taylor expansion of 0 in lambda2 1.918 * [taylor]: Taking taylor expansion of 0 in lambda1 1.918 * [taylor]: Taking taylor expansion of 0 in lambda2 1.923 * [taylor]: Taking taylor expansion of 0 in lambda2 1.940 * [taylor]: Taking taylor expansion of 0 in phi2 1.940 * [taylor]: Taking taylor expansion of 0 in lambda1 1.940 * [taylor]: Taking taylor expansion of 0 in lambda2 1.940 * [taylor]: Taking taylor expansion of 0 in lambda1 1.940 * [taylor]: Taking taylor expansion of 0 in lambda2 1.941 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.941 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.941 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.941 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.941 * [taylor]: Taking taylor expansion of -1 in lambda2 1.941 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.941 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.941 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.941 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.941 * [taylor]: Taking taylor expansion of -1 in lambda2 1.941 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.941 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.941 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.941 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.941 * [taylor]: Taking taylor expansion of -1 in lambda2 1.941 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.941 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.941 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.941 * [taylor]: Taking taylor expansion of -1 in lambda2 1.941 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.942 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.942 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.942 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.942 * [taylor]: Taking taylor expansion of -1 in lambda1 1.942 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.942 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.942 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.942 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.942 * [taylor]: Taking taylor expansion of -1 in lambda1 1.942 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.942 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.942 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.942 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.942 * [taylor]: Taking taylor expansion of -1 in lambda1 1.942 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.942 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.943 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.943 * [taylor]: Taking taylor expansion of -1 in lambda1 1.943 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.943 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.943 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.943 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.943 * [taylor]: Taking taylor expansion of -1 in phi2 1.943 * [taylor]: Taking taylor expansion of phi1 in phi2 1.943 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.943 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.943 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.943 * [taylor]: Taking taylor expansion of -1 in phi2 1.943 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.943 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.943 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.943 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.943 * [taylor]: Taking taylor expansion of -1 in phi2 1.943 * [taylor]: Taking taylor expansion of phi2 in phi2 1.943 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.943 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.943 * [taylor]: Taking taylor expansion of -1 in phi2 1.943 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.944 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.944 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of phi1 in phi1 1.944 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.944 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.944 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.944 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of phi2 in phi1 1.944 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.944 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.944 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.944 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.944 * [taylor]: Taking taylor expansion of -1 in phi1 1.944 * [taylor]: Taking taylor expansion of phi1 in phi1 1.945 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.945 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.945 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.945 * [taylor]: Taking taylor expansion of -1 in phi1 1.945 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.945 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.945 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.945 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.945 * [taylor]: Taking taylor expansion of -1 in phi1 1.945 * [taylor]: Taking taylor expansion of phi2 in phi1 1.945 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.945 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.945 * [taylor]: Taking taylor expansion of -1 in phi1 1.945 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.946 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.946 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.946 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.946 * [taylor]: Taking taylor expansion of -1 in phi2 1.946 * [taylor]: Taking taylor expansion of phi1 in phi2 1.946 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.946 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.946 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.946 * [taylor]: Taking taylor expansion of -1 in phi2 1.946 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.947 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.947 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.947 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.947 * [taylor]: Taking taylor expansion of -1 in phi2 1.947 * [taylor]: Taking taylor expansion of phi2 in phi2 1.947 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.947 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.947 * [taylor]: Taking taylor expansion of -1 in phi2 1.947 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.948 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.948 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.948 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.948 * [taylor]: Taking taylor expansion of -1 in lambda1 1.948 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.948 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.948 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.948 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.948 * [taylor]: Taking taylor expansion of -1 in lambda1 1.948 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.948 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.948 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.949 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.949 * [taylor]: Taking taylor expansion of -1 in lambda1 1.949 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.949 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.949 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.949 * [taylor]: Taking taylor expansion of -1 in lambda1 1.949 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.950 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.950 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.950 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.950 * [taylor]: Taking taylor expansion of -1 in lambda2 1.950 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.950 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.950 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.950 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.950 * [taylor]: Taking taylor expansion of -1 in lambda2 1.950 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.950 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.950 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.950 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.950 * [taylor]: Taking taylor expansion of -1 in lambda2 1.950 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.950 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.950 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.950 * [taylor]: Taking taylor expansion of -1 in lambda2 1.950 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.957 * [taylor]: Taking taylor expansion of 0 in phi2 1.957 * [taylor]: Taking taylor expansion of 0 in lambda1 1.957 * [taylor]: Taking taylor expansion of 0 in lambda2 1.963 * [taylor]: Taking taylor expansion of 0 in lambda1 1.963 * [taylor]: Taking taylor expansion of 0 in lambda2 1.968 * [taylor]: Taking taylor expansion of 0 in lambda2 1.981 * [taylor]: Taking taylor expansion of 0 in phi2 1.981 * [taylor]: Taking taylor expansion of 0 in lambda1 1.981 * [taylor]: Taking taylor expansion of 0 in lambda2 1.981 * [taylor]: Taking taylor expansion of 0 in lambda1 1.981 * [taylor]: Taking taylor expansion of 0 in lambda2 1.982 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.982 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.982 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.982 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.982 * [taylor]: Taking taylor expansion of phi1 in phi2 1.982 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.982 * [taylor]: Taking taylor expansion of phi2 in phi2 1.982 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.982 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.982 * [taylor]: Taking taylor expansion of phi1 in phi1 1.982 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.982 * [taylor]: Taking taylor expansion of phi2 in phi1 1.982 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.982 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.982 * [taylor]: Taking taylor expansion of phi1 in phi1 1.982 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.982 * [taylor]: Taking taylor expansion of phi2 in phi1 1.982 * [taylor]: Taking taylor expansion of 0 in phi2 1.985 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.985 * [taylor]: Taking taylor expansion of phi2 in phi2 1.987 * [taylor]: Taking taylor expansion of 0 in phi2 1.992 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.992 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.992 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.992 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.992 * [taylor]: Taking taylor expansion of phi2 in phi2 1.998 * [taylor]: Taking taylor expansion of 0 in phi2 1.998 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.998 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.998 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.998 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.998 * [taylor]: Taking taylor expansion of phi1 in phi2 1.998 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.998 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.998 * [taylor]: Taking taylor expansion of phi2 in phi2 1.999 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.999 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.999 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.999 * [taylor]: Taking taylor expansion of phi1 in phi1 1.999 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.999 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.999 * [taylor]: Taking taylor expansion of phi2 in phi1 1.999 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.999 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.999 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.999 * [taylor]: Taking taylor expansion of phi1 in phi1 1.999 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.999 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.999 * [taylor]: Taking taylor expansion of phi2 in phi1 2.000 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.000 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.000 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.000 * [taylor]: Taking taylor expansion of phi1 in phi2 2.000 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.000 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.000 * [taylor]: Taking taylor expansion of phi2 in phi2 2.002 * [taylor]: Taking taylor expansion of 0 in phi2 2.006 * [taylor]: Taking taylor expansion of 0 in phi2 2.012 * [taylor]: Taking taylor expansion of 0 in phi2 2.012 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.012 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.012 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.012 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.012 * [taylor]: Taking taylor expansion of -1 in phi2 2.012 * [taylor]: Taking taylor expansion of phi1 in phi2 2.012 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.012 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.012 * [taylor]: Taking taylor expansion of -1 in phi2 2.012 * [taylor]: Taking taylor expansion of phi2 in phi2 2.013 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.013 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.013 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.013 * [taylor]: Taking taylor expansion of -1 in phi1 2.013 * [taylor]: Taking taylor expansion of phi1 in phi1 2.013 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.013 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.013 * [taylor]: Taking taylor expansion of -1 in phi1 2.013 * [taylor]: Taking taylor expansion of phi2 in phi1 2.013 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.013 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.013 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.013 * [taylor]: Taking taylor expansion of -1 in phi1 2.013 * [taylor]: Taking taylor expansion of phi1 in phi1 2.014 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.014 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.014 * [taylor]: Taking taylor expansion of -1 in phi1 2.014 * [taylor]: Taking taylor expansion of phi2 in phi1 2.014 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.014 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.014 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.014 * [taylor]: Taking taylor expansion of -1 in phi2 2.014 * [taylor]: Taking taylor expansion of phi1 in phi2 2.014 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.014 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.014 * [taylor]: Taking taylor expansion of -1 in phi2 2.014 * [taylor]: Taking taylor expansion of phi2 in phi2 2.016 * [taylor]: Taking taylor expansion of 0 in phi2 2.020 * [taylor]: Taking taylor expansion of 0 in phi2 2.031 * [taylor]: Taking taylor expansion of 0 in phi2 2.031 * * * [progress]: simplifying candidates 2.032 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin 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(sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.168 * * * [progress]: adding candidates to table 2.511 * * [progress]: iteration 4 / 4 2.511 * * * [progress]: picking best candidate 2.601 * * * * [pick]: Picked # 2.601 * * * [progress]: localizing error 2.644 * * * [progress]: generating rewritten candidates 2.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.645 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.647 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.648 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.656 * * * [progress]: generating series expansions 2.656 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.656 * [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 2.656 * [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 2.657 * [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 2.657 * [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 2.658 * [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 phi1 2.658 * [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 phi1 2.658 * [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 2.659 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.659 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.660 * [taylor]: Taking taylor expansion of 0 in phi2 2.660 * [taylor]: Taking taylor expansion of 0 in lambda1 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * [taylor]: Taking taylor expansion of 0 in lambda1 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * [taylor]: Taking taylor expansion of 0 in phi2 2.660 * [taylor]: Taking taylor expansion of 0 in lambda1 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.660 * [taylor]: Taking taylor expansion of 0 in lambda1 2.660 * [taylor]: Taking taylor expansion of 0 in lambda2 2.661 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.661 * [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 lambda2 2.662 * [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 2.662 * [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 2.663 * [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 phi1 2.663 * [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 phi1 2.664 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.664 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.665 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.666 * [taylor]: Taking taylor expansion of 0 in phi2 2.666 * [taylor]: Taking taylor expansion of 0 in lambda1 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [taylor]: Taking taylor expansion of 0 in lambda1 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [taylor]: Taking taylor expansion of 0 in phi2 2.666 * [taylor]: Taking taylor expansion of 0 in lambda1 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [taylor]: Taking taylor expansion of 0 in lambda1 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.668 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.669 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.669 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.671 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.671 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in phi2 2.672 * [taylor]: Taking taylor expansion of 0 in lambda1 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in lambda1 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in phi2 2.672 * [taylor]: Taking taylor expansion of 0 in lambda1 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.672 * [taylor]: Taking taylor expansion of 0 in lambda1 2.672 * [taylor]: Taking taylor expansion of 0 in lambda2 2.673 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.674 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.674 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.674 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.675 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.675 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.675 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.676 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.676 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.676 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in phi2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.677 * [taylor]: Taking taylor expansion of 0 in phi2 2.677 * [taylor]: Taking taylor expansion of 0 in lambda1 2.677 * [taylor]: Taking taylor expansion of 0 in lambda2 2.678 * [taylor]: Taking taylor expansion of 0 in lambda1 2.678 * [taylor]: Taking taylor expansion of 0 in lambda2 2.679 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.679 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.679 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.680 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.681 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.683 * [taylor]: Taking taylor expansion of 0 in phi2 2.683 * [taylor]: Taking taylor expansion of 0 in lambda1 2.683 * [taylor]: Taking taylor expansion of 0 in lambda2 2.683 * [taylor]: Taking taylor expansion of 0 in lambda1 2.683 * [taylor]: Taking taylor expansion of 0 in lambda2 2.683 * [taylor]: Taking taylor expansion of 0 in lambda2 2.683 * [taylor]: Taking taylor expansion of 0 in phi2 2.683 * [taylor]: Taking taylor expansion of 0 in lambda1 2.683 * [taylor]: Taking taylor expansion of 0 in lambda2 2.683 * [taylor]: Taking taylor expansion of 0 in lambda1 2.684 * [taylor]: Taking taylor expansion of 0 in lambda2 2.685 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.685 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.687 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.688 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.688 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.689 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in phi2 2.690 * [taylor]: Taking taylor expansion of 0 in lambda1 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in lambda1 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in phi2 2.690 * [taylor]: Taking taylor expansion of 0 in lambda1 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [taylor]: Taking taylor expansion of 0 in lambda1 2.690 * [taylor]: Taking taylor expansion of 0 in lambda2 2.691 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.691 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.691 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.691 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.692 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.692 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.693 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.693 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.694 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.694 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.694 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.694 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.695 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.695 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.696 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.696 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.697 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.697 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.699 * [taylor]: Taking taylor expansion of 0 in phi2 2.699 * [taylor]: Taking taylor expansion of 0 in lambda1 2.699 * [taylor]: Taking taylor expansion of 0 in lambda2 2.700 * [taylor]: Taking taylor expansion of 0 in lambda1 2.700 * [taylor]: Taking taylor expansion of 0 in lambda2 2.701 * [taylor]: Taking taylor expansion of 0 in lambda2 2.703 * [taylor]: Taking taylor expansion of 0 in phi2 2.704 * [taylor]: Taking taylor expansion of 0 in lambda1 2.704 * [taylor]: Taking taylor expansion of 0 in lambda2 2.704 * [taylor]: Taking taylor expansion of 0 in lambda1 2.704 * [taylor]: Taking taylor expansion of 0 in lambda2 2.705 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.705 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.706 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.706 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.707 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.707 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.708 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.708 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.713 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.713 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.714 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.714 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.715 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.715 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.716 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.716 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.719 * [taylor]: Taking taylor expansion of 0 in phi2 2.719 * [taylor]: Taking taylor expansion of 0 in lambda1 2.719 * [taylor]: Taking taylor expansion of 0 in lambda2 2.720 * [taylor]: Taking taylor expansion of 0 in lambda1 2.720 * [taylor]: Taking taylor expansion of 0 in lambda2 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [taylor]: Taking taylor expansion of 0 in phi2 2.724 * [taylor]: Taking taylor expansion of 0 in lambda1 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [taylor]: Taking taylor expansion of 0 in lambda1 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.725 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.725 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.725 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.726 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.727 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.728 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.729 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.730 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 2.730 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.731 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 2.731 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.732 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 2.732 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.735 * [taylor]: Taking taylor expansion of 0 in phi2 2.735 * [taylor]: Taking taylor expansion of 0 in lambda1 2.735 * [taylor]: Taking taylor expansion of 0 in lambda2 2.736 * [taylor]: Taking taylor expansion of 0 in lambda1 2.736 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in phi2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.741 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.742 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.742 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 2.742 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 2.742 * [taylor]: Taking taylor expansion of R in R 2.742 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 2.742 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.742 * [taylor]: Taking taylor expansion of R in lambda2 2.742 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 2.743 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.743 * [taylor]: Taking taylor expansion of R in lambda1 2.743 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 2.743 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.743 * [taylor]: Taking taylor expansion of R in phi2 2.743 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 2.743 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.744 * [taylor]: Taking taylor expansion of R in phi1 2.744 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 2.744 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.744 * [taylor]: Taking taylor expansion of R in phi1 2.745 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 2.745 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.745 * [taylor]: Taking taylor expansion of R in phi2 2.745 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 2.745 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.746 * [taylor]: Taking taylor expansion of R in lambda1 2.746 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 2.746 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.746 * [taylor]: Taking taylor expansion of R in lambda2 2.747 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 2.747 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 2.747 * [taylor]: Taking taylor expansion of R in R 2.748 * [taylor]: Taking taylor expansion of 0 in phi2 2.748 * [taylor]: Taking taylor expansion of 0 in lambda1 2.748 * [taylor]: Taking taylor expansion of 0 in lambda2 2.748 * [taylor]: Taking taylor expansion of 0 in R 2.749 * [taylor]: Taking taylor expansion of 0 in lambda1 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in R 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in R 2.749 * [taylor]: Taking taylor expansion of 0 in R 2.752 * [taylor]: Taking taylor expansion of 0 in phi2 2.752 * [taylor]: Taking taylor expansion of 0 in lambda1 2.752 * [taylor]: Taking taylor expansion of 0 in lambda2 2.752 * [taylor]: Taking taylor expansion of 0 in R 2.752 * [taylor]: Taking taylor expansion of 0 in lambda1 2.752 * [taylor]: Taking taylor expansion of 0 in lambda2 2.752 * [taylor]: Taking taylor expansion of 0 in R 2.752 * [taylor]: Taking taylor expansion of 0 in lambda1 2.752 * [taylor]: Taking taylor expansion of 0 in lambda2 2.752 * [taylor]: Taking taylor expansion of 0 in R 2.753 * [taylor]: Taking taylor expansion of 0 in lambda2 2.753 * [taylor]: Taking taylor expansion of 0 in R 2.753 * [taylor]: Taking taylor expansion of 0 in lambda2 2.753 * [taylor]: Taking taylor expansion of 0 in R 2.753 * [taylor]: Taking taylor expansion of 0 in lambda2 2.753 * [taylor]: Taking taylor expansion of 0 in R 2.755 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.755 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.755 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.756 * [taylor]: Taking taylor expansion of R in R 2.756 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.756 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.757 * [taylor]: Taking taylor expansion of R in lambda2 2.757 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.757 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.758 * [taylor]: Taking taylor expansion of R in lambda1 2.758 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.758 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.759 * [taylor]: Taking taylor expansion of R in phi2 2.759 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.759 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.760 * [taylor]: Taking taylor expansion of R in phi1 2.760 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 2.760 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.761 * [taylor]: Taking taylor expansion of R in phi1 2.761 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 2.761 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.762 * [taylor]: Taking taylor expansion of R in phi2 2.762 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 2.763 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.763 * [taylor]: Taking taylor expansion of R in lambda1 2.763 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 2.764 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.764 * [taylor]: Taking taylor expansion of R in lambda2 2.765 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 2.765 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 2.765 * [taylor]: Taking taylor expansion of R in R 2.767 * [taylor]: Taking taylor expansion of 0 in phi2 2.767 * [taylor]: Taking taylor expansion of 0 in lambda1 2.767 * [taylor]: Taking taylor expansion of 0 in lambda2 2.767 * [taylor]: Taking taylor expansion of 0 in R 2.767 * [taylor]: Taking taylor expansion of 0 in lambda1 2.768 * [taylor]: Taking taylor expansion of 0 in lambda2 2.768 * [taylor]: Taking taylor expansion of 0 in R 2.768 * [taylor]: Taking taylor expansion of 0 in lambda2 2.768 * [taylor]: Taking taylor expansion of 0 in R 2.769 * [taylor]: Taking taylor expansion of 0 in R 2.771 * [taylor]: Taking taylor expansion of 0 in phi2 2.771 * [taylor]: Taking taylor expansion of 0 in lambda1 2.771 * [taylor]: Taking taylor expansion of 0 in lambda2 2.771 * [taylor]: Taking taylor expansion of 0 in R 2.771 * [taylor]: Taking taylor expansion of 0 in lambda1 2.771 * [taylor]: Taking taylor expansion of 0 in lambda2 2.771 * [taylor]: Taking taylor expansion of 0 in R 2.772 * [taylor]: Taking taylor expansion of 0 in lambda1 2.772 * [taylor]: Taking taylor expansion of 0 in lambda2 2.772 * [taylor]: Taking taylor expansion of 0 in R 2.772 * [taylor]: Taking taylor expansion of 0 in lambda2 2.772 * [taylor]: Taking taylor expansion of 0 in R 2.772 * [taylor]: Taking taylor expansion of 0 in lambda2 2.772 * [taylor]: Taking taylor expansion of 0 in R 2.772 * [taylor]: Taking taylor expansion of 0 in lambda2 2.772 * [taylor]: Taking taylor expansion of 0 in R 2.773 * [taylor]: Taking taylor expansion of 0 in R 2.773 * [taylor]: Taking taylor expansion of 0 in R 2.773 * [taylor]: Taking taylor expansion of 0 in R 2.773 * [taylor]: Taking taylor expansion of 0 in R 2.777 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.777 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 2.777 * [taylor]: Taking taylor expansion of -1 in R 2.777 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 2.777 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 2.777 * [taylor]: Taking taylor expansion of R in R 2.778 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 2.778 * [taylor]: Taking taylor expansion of -1 in lambda2 2.778 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 2.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.778 * [taylor]: Taking taylor expansion of R in lambda2 2.779 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 2.779 * [taylor]: Taking taylor expansion of -1 in lambda1 2.779 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 2.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.780 * [taylor]: Taking taylor expansion of R in lambda1 2.780 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 2.780 * [taylor]: Taking taylor expansion of -1 in phi2 2.780 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 2.780 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.781 * [taylor]: Taking taylor expansion of R in phi2 2.781 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 2.781 * [taylor]: Taking taylor expansion of -1 in phi1 2.781 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 2.781 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.782 * [taylor]: Taking taylor expansion of R in phi1 2.782 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 2.782 * [taylor]: Taking taylor expansion of -1 in phi1 2.782 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 2.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.783 * [taylor]: Taking taylor expansion of R in phi1 2.784 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 2.784 * [taylor]: Taking taylor expansion of -1 in phi2 2.784 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 2.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.784 * [taylor]: Taking taylor expansion of R in phi2 2.785 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 2.785 * [taylor]: Taking taylor expansion of -1 in lambda1 2.785 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 2.786 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.786 * [taylor]: Taking taylor expansion of R in lambda1 2.787 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 2.787 * [taylor]: Taking taylor expansion of -1 in lambda2 2.787 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 2.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.788 * [taylor]: Taking taylor expansion of R in lambda2 2.789 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 2.789 * [taylor]: Taking taylor expansion of -1 in R 2.789 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 2.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 2.789 * [taylor]: Taking taylor expansion of R in R 2.793 * [taylor]: Taking taylor expansion of 0 in phi2 2.793 * [taylor]: Taking taylor expansion of 0 in lambda1 2.793 * [taylor]: Taking taylor expansion of 0 in lambda2 2.793 * [taylor]: Taking taylor expansion of 0 in R 2.797 * [taylor]: Taking taylor expansion of 0 in lambda1 2.797 * [taylor]: Taking taylor expansion of 0 in lambda2 2.797 * [taylor]: Taking taylor expansion of 0 in R 2.799 * [taylor]: Taking taylor expansion of 0 in lambda2 2.799 * [taylor]: Taking taylor expansion of 0 in R 2.801 * [taylor]: Taking taylor expansion of 0 in R 2.804 * [taylor]: Taking taylor expansion of 0 in phi2 2.804 * [taylor]: Taking taylor expansion of 0 in lambda1 2.804 * [taylor]: Taking taylor expansion of 0 in lambda2 2.804 * [taylor]: Taking taylor expansion of 0 in R 2.804 * [taylor]: Taking taylor expansion of 0 in lambda1 2.804 * [taylor]: Taking taylor expansion of 0 in lambda2 2.805 * [taylor]: Taking taylor expansion of 0 in R 2.806 * [taylor]: Taking taylor expansion of 0 in lambda1 2.806 * [taylor]: Taking taylor expansion of 0 in lambda2 2.806 * [taylor]: Taking taylor expansion of 0 in R 2.806 * [taylor]: Taking taylor expansion of 0 in lambda2 2.806 * [taylor]: Taking taylor expansion of 0 in R 2.806 * [taylor]: Taking taylor expansion of 0 in lambda2 2.806 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in lambda2 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.810 * [taylor]: Taking taylor expansion of 0 in R 2.814 * * * [progress]: simplifying candidates 2.815 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (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 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 2.822 * * [simplify]: iteration 0 : 185 enodes (cost 1853 ) 2.826 * * [simplify]: iteration 1 : 408 enodes (cost 1609 ) 2.833 * * [simplify]: iteration 2 : 887 enodes (cost 1605 ) 2.843 * * [simplify]: iteration 3 : 1241 enodes (cost 1605 ) 2.863 * * [simplify]: iteration 4 : 3498 enodes (cost 1601 ) 2.926 * * [simplify]: iteration 5 : 5001 enodes (cost 1601 ) 2.932 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin 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lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (/ (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 2) (/ (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 2) 0 (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos 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lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) E (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) 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(* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* 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lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 2.933 * * * [progress]: adding candidates to table 3.282 * [progress]: [Phase 3 of 3] Extracting. 3.282 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 3.313 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.313 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 3.451 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 3.591 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 3.729 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 3.869 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 4.007 * * * [regime]: Found split indices: #