9.759 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.244 * * * [progress]: [2/2] Setting up program. 0.248 * [progress]: [Phase 2 of 3] Improving. 0.248 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.251 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.252 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.254 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.255 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.255 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.255 * * [progress]: iteration 1 / 4 0.255 * * * [progress]: picking best candidate 0.259 * * * * [pick]: Picked # 0.259 * * * [progress]: localizing error 0.283 * * * [progress]: generating rewritten candidates 0.283 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.287 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.288 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.297 * * * [progress]: generating series expansions 0.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.297 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.297 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.297 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.297 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.297 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.298 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.298 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.298 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.298 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.298 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.298 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.298 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.298 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.299 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.299 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.299 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.301 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.301 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.301 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.301 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.305 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.305 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.305 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.305 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.305 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.305 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.307 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.307 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.307 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.307 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.307 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.307 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.307 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.308 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.308 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.308 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.308 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.309 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.309 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.309 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.309 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.309 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.309 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.309 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.309 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.310 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.310 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.310 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.310 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.310 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.310 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.311 * [taylor]: Taking taylor expansion of 0 in lambda2 0.311 * [taylor]: Taking taylor expansion of 0 in lambda2 0.311 * [taylor]: Taking taylor expansion of 0 in lambda2 0.311 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.311 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.311 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.311 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.311 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.311 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.312 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.312 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.312 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.312 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.312 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.313 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.314 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.314 * [taylor]: Taking taylor expansion of 0 in lambda2 0.314 * [taylor]: Taking taylor expansion of 0 in lambda2 0.314 * [taylor]: Taking taylor expansion of 0 in lambda2 0.315 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.315 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.316 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.316 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.316 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.316 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.317 * [taylor]: Taking taylor expansion of 0 in phi2 0.317 * [taylor]: Taking taylor expansion of 0 in lambda1 0.317 * [taylor]: Taking taylor expansion of 0 in lambda2 0.317 * [taylor]: Taking taylor expansion of 0 in lambda1 0.317 * [taylor]: Taking taylor expansion of 0 in lambda2 0.317 * [taylor]: Taking taylor expansion of 0 in lambda2 0.317 * [taylor]: Taking taylor expansion of 0 in phi2 0.317 * [taylor]: Taking taylor expansion of 0 in lambda1 0.317 * [taylor]: Taking taylor expansion of 0 in lambda2 0.317 * [taylor]: Taking taylor expansion of 0 in lambda1 0.317 * [taylor]: Taking taylor expansion of 0 in lambda2 0.317 * [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 0.317 * [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 0.318 * [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 0.318 * [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 0.318 * [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 0.318 * [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 0.319 * [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 0.319 * [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 0.319 * [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 0.320 * [taylor]: Taking taylor expansion of 0 in phi2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in phi2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.320 * [taylor]: Taking taylor expansion of 0 in lambda1 0.320 * [taylor]: Taking taylor expansion of 0 in lambda2 0.321 * [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 0.321 * [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 0.321 * [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 0.321 * [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 0.322 * [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 0.322 * [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 0.322 * [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 0.322 * [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 0.323 * [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 0.323 * [taylor]: Taking taylor expansion of 0 in phi2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in phi2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.323 * [taylor]: Taking taylor expansion of 0 in lambda1 0.323 * [taylor]: Taking taylor expansion of 0 in lambda2 0.324 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.324 * [taylor]: Taking taylor expansion of R in R 0.324 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.325 * [taylor]: Taking taylor expansion of R in lambda2 0.325 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.325 * [taylor]: Taking taylor expansion of R in lambda1 0.325 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.325 * [taylor]: Taking taylor expansion of R in phi2 0.325 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.325 * [taylor]: Taking taylor expansion of R in phi1 0.325 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.325 * [taylor]: Taking taylor expansion of R in phi1 0.326 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.326 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.326 * [taylor]: Taking taylor expansion of R in phi2 0.326 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.326 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.326 * [taylor]: Taking taylor expansion of R in lambda1 0.326 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.327 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.327 * [taylor]: Taking taylor expansion of R in lambda2 0.327 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.327 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.327 * [taylor]: Taking taylor expansion of R in R 0.328 * [taylor]: Taking taylor expansion of 0 in phi2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in R 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in R 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in R 0.328 * [taylor]: Taking taylor expansion of 0 in R 0.330 * [taylor]: Taking taylor expansion of 0 in phi2 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in R 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in R 0.330 * [taylor]: Taking taylor expansion of 0 in lambda1 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in R 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.330 * [taylor]: Taking taylor expansion of 0 in R 0.330 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in R 0.331 * [taylor]: Taking taylor expansion of 0 in lambda2 0.331 * [taylor]: Taking taylor expansion of 0 in R 0.332 * [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 0.332 * [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 0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.332 * [taylor]: Taking taylor expansion of R in R 0.333 * [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 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of R in lambda2 0.333 * [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 0.333 * [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 0.333 * [taylor]: Taking taylor expansion of R in lambda1 0.334 * [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 0.334 * [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 0.334 * [taylor]: Taking taylor expansion of R in phi2 0.334 * [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 0.334 * [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 0.335 * [taylor]: Taking taylor expansion of R in phi1 0.335 * [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 0.335 * [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 0.335 * [taylor]: Taking taylor expansion of R in phi1 0.335 * [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 0.335 * [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 0.336 * [taylor]: Taking taylor expansion of R in phi2 0.336 * [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 0.336 * [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 0.336 * [taylor]: Taking taylor expansion of R in lambda1 0.337 * [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 0.337 * [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 0.337 * [taylor]: Taking taylor expansion of R in lambda2 0.337 * [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 0.337 * [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 0.337 * [taylor]: Taking taylor expansion of R in R 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in R 0.339 * [taylor]: Taking taylor expansion of 0 in lambda1 0.339 * [taylor]: Taking taylor expansion of 0 in lambda2 0.339 * [taylor]: Taking taylor expansion of 0 in R 0.342 * [taylor]: Taking taylor expansion of 0 in lambda2 0.342 * [taylor]: Taking taylor expansion of 0 in R 0.343 * [taylor]: Taking taylor expansion of 0 in R 0.344 * [taylor]: Taking taylor expansion of 0 in phi2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda1 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in R 0.344 * [taylor]: Taking taylor expansion of 0 in lambda1 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in R 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 R 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.345 * [taylor]: Taking taylor expansion of 0 in R 0.346 * [taylor]: Taking taylor expansion of 0 in R 0.348 * [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 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of -1 in R 0.348 * [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 0.348 * [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 0.348 * [taylor]: Taking taylor expansion of R in R 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.349 * [taylor]: Taking taylor expansion of -1 in lambda2 0.349 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.349 * [taylor]: Taking taylor expansion of R in lambda2 0.349 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.349 * [taylor]: Taking taylor expansion of -1 in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.350 * [taylor]: Taking taylor expansion of R in lambda1 0.350 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.350 * [taylor]: Taking taylor expansion of -1 in phi2 0.350 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.350 * [taylor]: Taking taylor expansion of R in phi2 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.351 * [taylor]: Taking taylor expansion of -1 in phi1 0.351 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.351 * [taylor]: Taking taylor expansion of R in phi1 0.351 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.351 * [taylor]: Taking taylor expansion of -1 in phi1 0.351 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.351 * [taylor]: Taking taylor expansion of R in phi1 0.352 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.352 * [taylor]: Taking taylor expansion of -1 in phi2 0.352 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.352 * [taylor]: Taking taylor expansion of R in phi2 0.353 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.353 * [taylor]: Taking taylor expansion of -1 in lambda1 0.353 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of R in lambda1 0.354 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.354 * [taylor]: Taking taylor expansion of -1 in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.354 * [taylor]: Taking taylor expansion of R in lambda2 0.355 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.355 * [taylor]: Taking taylor expansion of -1 in R 0.355 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.355 * [taylor]: Taking taylor expansion of R in R 0.357 * [taylor]: Taking taylor expansion of 0 in phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.360 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 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 R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.369 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.369 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.369 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.369 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.369 * [taylor]: Taking taylor expansion of phi1 in phi2 0.370 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.370 * [taylor]: Taking taylor expansion of phi2 in phi2 0.370 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.370 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.370 * [taylor]: Taking taylor expansion of phi1 in phi1 0.370 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.370 * [taylor]: Taking taylor expansion of phi2 in phi1 0.370 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.370 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.370 * [taylor]: Taking taylor expansion of phi1 in phi1 0.370 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.370 * [taylor]: Taking taylor expansion of phi2 in phi1 0.370 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.372 * [taylor]: Taking taylor expansion of phi2 in phi2 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.380 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.380 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.380 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.380 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.380 * [taylor]: Taking taylor expansion of phi2 in phi2 0.386 * [taylor]: Taking taylor expansion of 0 in phi2 0.386 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.386 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.386 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.386 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.386 * [taylor]: Taking taylor expansion of phi1 in phi2 0.386 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.386 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.386 * [taylor]: Taking taylor expansion of phi2 in phi2 0.386 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.386 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.386 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.386 * [taylor]: Taking taylor expansion of phi1 in phi1 0.387 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.387 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.387 * [taylor]: Taking taylor expansion of phi2 in phi1 0.387 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.387 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.387 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.387 * [taylor]: Taking taylor expansion of phi1 in phi1 0.387 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.387 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.387 * [taylor]: Taking taylor expansion of phi2 in phi1 0.388 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.388 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.388 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.388 * [taylor]: Taking taylor expansion of phi1 in phi2 0.388 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.388 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.388 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.394 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.400 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.400 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.400 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.400 * [taylor]: Taking taylor expansion of -1 in phi2 0.400 * [taylor]: Taking taylor expansion of phi1 in phi2 0.400 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.400 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.400 * [taylor]: Taking taylor expansion of -1 in phi2 0.400 * [taylor]: Taking taylor expansion of phi2 in phi2 0.401 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.401 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.401 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.401 * [taylor]: Taking taylor expansion of -1 in phi1 0.401 * [taylor]: Taking taylor expansion of phi1 in phi1 0.401 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.401 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.401 * [taylor]: Taking taylor expansion of -1 in phi1 0.401 * [taylor]: Taking taylor expansion of phi2 in phi1 0.401 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.401 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.401 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.401 * [taylor]: Taking taylor expansion of -1 in phi1 0.401 * [taylor]: Taking taylor expansion of phi1 in phi1 0.401 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.402 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.402 * [taylor]: Taking taylor expansion of -1 in phi1 0.402 * [taylor]: Taking taylor expansion of phi2 in phi1 0.402 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.402 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.402 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.402 * [taylor]: Taking taylor expansion of -1 in phi2 0.402 * [taylor]: Taking taylor expansion of phi1 in phi2 0.402 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.402 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.402 * [taylor]: Taking taylor expansion of -1 in phi2 0.402 * [taylor]: Taking taylor expansion of phi2 in phi2 0.404 * [taylor]: Taking taylor expansion of 0 in phi2 0.408 * [taylor]: Taking taylor expansion of 0 in phi2 0.414 * [taylor]: Taking taylor expansion of 0 in phi2 0.414 * * * [progress]: simplifying candidates 0.415 * [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)) 0.419 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.422 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.432 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.457 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.460 * [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)) 0.460 * * * [progress]: adding candidates to table 0.705 * * [progress]: iteration 2 / 4 0.705 * * * [progress]: picking best candidate 0.761 * * * * [pick]: Picked # 0.761 * * * [progress]: localizing error 0.793 * * * [progress]: generating rewritten candidates 0.793 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.794 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.799 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 0.805 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.810 * * * [progress]: generating series expansions 0.810 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.811 * [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 0.811 * [taylor]: Taking taylor 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 0.811 * [taylor]: Taking taylor 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 0.812 * [taylor]: Taking taylor 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 0.812 * [taylor]: Taking taylor 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 0.812 * [taylor]: Taking taylor 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 0.813 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 0.813 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 0.813 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 0.814 * [taylor]: Taking taylor expansion of 0 in phi2 0.814 * [taylor]: Taking taylor expansion of 0 in lambda1 0.814 * [taylor]: Taking taylor expansion of 0 in lambda2 0.814 * [taylor]: Taking taylor expansion of 0 in lambda1 0.814 * [taylor]: Taking taylor expansion of 0 in lambda2 0.814 * [taylor]: Taking taylor expansion of 0 in lambda2 0.814 * [taylor]: Taking taylor expansion of 0 in phi2 0.814 * [taylor]: Taking taylor expansion of 0 in lambda1 0.814 * [taylor]: Taking taylor expansion of 0 in lambda2 0.814 * [taylor]: Taking taylor expansion of 0 in lambda1 0.814 * [taylor]: Taking taylor expansion of 0 in lambda2 0.815 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.815 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.816 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.816 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.817 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.817 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.818 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.818 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.819 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.820 * [taylor]: Taking taylor expansion of 0 in phi2 0.820 * [taylor]: Taking taylor expansion of 0 in lambda1 0.820 * [taylor]: Taking taylor expansion of 0 in lambda2 0.820 * [taylor]: Taking taylor expansion of 0 in lambda1 0.820 * [taylor]: Taking taylor expansion of 0 in lambda2 0.820 * [taylor]: Taking taylor expansion of 0 in lambda2 0.820 * [taylor]: Taking taylor expansion of 0 in phi2 0.820 * [taylor]: Taking taylor expansion of 0 in lambda1 0.820 * [taylor]: Taking taylor expansion of 0 in lambda2 0.820 * [taylor]: Taking taylor expansion of 0 in lambda1 0.820 * [taylor]: Taking taylor expansion of 0 in lambda2 0.821 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.821 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.822 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.822 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.823 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.823 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.824 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.824 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.825 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.826 * [taylor]: Taking taylor expansion of 0 in phi2 0.826 * [taylor]: Taking taylor expansion of 0 in lambda1 0.826 * [taylor]: Taking taylor expansion of 0 in lambda2 0.826 * [taylor]: Taking taylor expansion of 0 in lambda1 0.826 * [taylor]: Taking taylor expansion of 0 in lambda2 0.826 * [taylor]: Taking taylor expansion of 0 in lambda2 0.826 * [taylor]: Taking taylor expansion of 0 in phi2 0.826 * [taylor]: Taking taylor expansion of 0 in lambda1 0.826 * [taylor]: Taking taylor expansion of 0 in lambda2 0.826 * [taylor]: Taking taylor expansion of 0 in lambda1 0.826 * [taylor]: Taking taylor expansion of 0 in lambda2 0.827 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.827 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.827 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.827 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.827 * [taylor]: Taking taylor expansion of phi1 in phi2 0.827 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.827 * [taylor]: Taking taylor expansion of phi2 in phi2 0.827 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.827 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.827 * [taylor]: Taking taylor expansion of phi1 in phi1 0.827 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.827 * [taylor]: Taking taylor expansion of phi2 in phi1 0.827 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.827 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.827 * [taylor]: Taking taylor expansion of phi1 in phi1 0.827 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.827 * [taylor]: Taking taylor expansion of phi2 in phi1 0.827 * [taylor]: Taking taylor expansion of 0 in phi2 0.830 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.830 * [taylor]: Taking taylor expansion of phi2 in phi2 0.833 * [taylor]: Taking taylor expansion of 0 in phi2 0.837 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.837 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.837 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.837 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.837 * [taylor]: Taking taylor expansion of phi2 in phi2 0.843 * [taylor]: Taking taylor expansion of 0 in phi2 0.844 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.844 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.844 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.844 * [taylor]: Taking taylor expansion of phi1 in phi2 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.844 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.844 * [taylor]: Taking taylor expansion of phi2 in phi2 0.844 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.844 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.844 * [taylor]: Taking taylor expansion of phi1 in phi1 0.844 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.844 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.844 * [taylor]: Taking taylor expansion of phi2 in phi1 0.845 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.845 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.845 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.845 * [taylor]: Taking taylor expansion of phi1 in phi1 0.845 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.845 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.845 * [taylor]: Taking taylor expansion of phi2 in phi1 0.845 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.845 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.845 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.845 * [taylor]: Taking taylor expansion of phi1 in phi2 0.845 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.845 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.845 * [taylor]: Taking taylor expansion of phi2 in phi2 0.848 * [taylor]: Taking taylor expansion of 0 in phi2 0.852 * [taylor]: Taking taylor expansion of 0 in phi2 0.860 * [taylor]: Taking taylor expansion of 0 in phi2 0.860 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.860 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.860 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.860 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.860 * [taylor]: Taking taylor expansion of -1 in phi2 0.860 * [taylor]: Taking taylor expansion of phi1 in phi2 0.860 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.860 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.860 * [taylor]: Taking taylor expansion of -1 in phi2 0.860 * [taylor]: Taking taylor expansion of phi2 in phi2 0.861 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.861 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.861 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.861 * [taylor]: Taking taylor expansion of -1 in phi1 0.861 * [taylor]: Taking taylor expansion of phi1 in phi1 0.861 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.861 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.861 * [taylor]: Taking taylor expansion of -1 in phi1 0.861 * [taylor]: Taking taylor expansion of phi2 in phi1 0.861 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.861 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.861 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.861 * [taylor]: Taking taylor expansion of -1 in phi1 0.861 * [taylor]: Taking taylor expansion of phi1 in phi1 0.862 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.862 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.862 * [taylor]: Taking taylor expansion of -1 in phi1 0.862 * [taylor]: Taking taylor expansion of phi2 in phi1 0.862 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.862 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.862 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.862 * [taylor]: Taking taylor expansion of -1 in phi2 0.862 * [taylor]: Taking taylor expansion of phi1 in phi2 0.862 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.862 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.862 * [taylor]: Taking taylor expansion of -1 in phi2 0.862 * [taylor]: Taking taylor expansion of phi2 in phi2 0.865 * [taylor]: Taking taylor expansion of 0 in phi2 0.869 * [taylor]: Taking taylor expansion of 0 in phi2 0.875 * [taylor]: Taking taylor expansion of 0 in phi2 0.875 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 0.875 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 0.875 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 0.875 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.875 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.875 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.875 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.875 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.876 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 0.876 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.876 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.876 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 0.876 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 0.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.876 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 0.876 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.876 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.876 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 0.876 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 0.876 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.876 * [taylor]: Taking taylor expansion of 0 in lambda2 0.879 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.879 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.879 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.888 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 0.888 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 0.888 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.888 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.888 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.888 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in lambda2 0.897 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 0.897 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 0.897 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.897 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.897 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.897 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 0.897 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 0.897 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.897 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 0.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.898 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.898 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.898 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 0.898 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 0.898 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.898 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 0.898 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.898 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.898 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.899 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.899 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 0.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.899 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.899 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 0.899 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.899 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.902 * [taylor]: Taking taylor expansion of 0 in lambda2 0.907 * [taylor]: Taking taylor expansion of 0 in lambda2 0.913 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.914 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.914 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.914 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.914 * [taylor]: Taking taylor expansion of -1 in lambda2 0.914 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.914 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.914 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.914 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.914 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.914 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.914 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.914 * [taylor]: Taking taylor expansion of -1 in lambda1 0.914 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.914 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.915 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.915 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.915 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.915 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.915 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.915 * [taylor]: Taking taylor expansion of -1 in lambda1 0.915 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.915 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.915 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.915 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.915 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.915 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.915 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.915 * [taylor]: Taking taylor expansion of -1 in lambda2 0.915 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.916 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.916 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.916 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.918 * [taylor]: Taking taylor expansion of 0 in lambda2 0.922 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [taylor]: Taking taylor expansion of 0 in lambda2 0.928 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.928 * [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 0.928 * [taylor]: Taking 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 0.928 * [taylor]: Taking taylor 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 0.928 * [taylor]: Taking taylor expansion of R in R 0.928 * [taylor]: Taking 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 0.928 * [taylor]: Taking taylor 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 0.929 * [taylor]: Taking taylor expansion of R in lambda2 0.929 * [taylor]: Taking 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 0.929 * [taylor]: Taking taylor 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 0.929 * [taylor]: Taking taylor expansion of R in lambda1 0.929 * [taylor]: Taking 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 0.929 * [taylor]: Taking taylor 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 0.930 * [taylor]: Taking taylor expansion of R in phi2 0.930 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 0.930 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 0.930 * [taylor]: Taking taylor expansion of R in phi1 0.930 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 0.930 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 0.931 * [taylor]: Taking taylor expansion of R in phi1 0.931 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 0.931 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 0.931 * [taylor]: Taking taylor expansion of R in phi2 0.932 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 0.932 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 0.932 * [taylor]: Taking taylor expansion of R in lambda1 0.933 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 0.933 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 0.933 * [taylor]: Taking taylor expansion of R in lambda2 0.933 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 0.933 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 0.934 * [taylor]: Taking taylor expansion of R in R 0.934 * [taylor]: Taking taylor expansion of 0 in phi2 0.935 * [taylor]: Taking taylor expansion of 0 in lambda1 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in lambda1 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.938 * [taylor]: Taking taylor expansion of 0 in phi2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in R 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in R 0.941 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.941 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.941 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.941 * [taylor]: Taking taylor expansion of R in R 0.942 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.942 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.942 * [taylor]: Taking taylor expansion of R in lambda2 0.943 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.943 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.943 * [taylor]: Taking taylor expansion of R in lambda1 0.946 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.946 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.947 * [taylor]: Taking taylor expansion of R in phi2 0.947 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.947 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.948 * [taylor]: Taking taylor expansion of R in phi1 0.948 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.948 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.949 * [taylor]: Taking taylor expansion of R in phi1 0.949 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.950 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.950 * [taylor]: Taking taylor expansion of R in phi2 0.951 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.951 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.951 * [taylor]: Taking taylor expansion of R in lambda1 0.952 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.952 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.952 * [taylor]: Taking taylor expansion of R in lambda2 0.953 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.953 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.953 * [taylor]: Taking taylor expansion of R in R 0.955 * [taylor]: Taking taylor expansion of 0 in phi2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.956 * [taylor]: Taking taylor expansion of 0 in lambda1 0.956 * [taylor]: Taking taylor expansion of 0 in lambda2 0.956 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.959 * [taylor]: Taking taylor expansion of 0 in phi2 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.959 * [taylor]: Taking taylor expansion of 0 in lambda1 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in lambda1 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in lambda2 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.961 * [taylor]: Taking taylor expansion of 0 in R 0.962 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.965 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.965 * [taylor]: Taking taylor expansion of -1 in R 0.965 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.965 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.965 * [taylor]: Taking taylor expansion of R in R 0.966 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.966 * [taylor]: Taking taylor expansion of -1 in lambda2 0.966 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.966 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.966 * [taylor]: Taking taylor expansion of R in lambda2 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.967 * [taylor]: Taking taylor expansion of -1 in lambda1 0.967 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.967 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.967 * [taylor]: Taking taylor expansion of R in lambda1 0.968 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.968 * [taylor]: Taking taylor expansion of -1 in phi2 0.968 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.968 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.968 * [taylor]: Taking taylor expansion of R in phi2 0.969 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.969 * [taylor]: Taking taylor expansion of -1 in phi1 0.969 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.969 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.970 * [taylor]: Taking taylor expansion of R in phi1 0.970 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.970 * [taylor]: Taking taylor expansion of -1 in phi1 0.970 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.970 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.971 * [taylor]: Taking taylor expansion of R in phi1 0.972 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.972 * [taylor]: Taking taylor expansion of -1 in phi2 0.972 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.972 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.972 * [taylor]: Taking taylor expansion of R in phi2 0.973 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.973 * [taylor]: Taking taylor expansion of -1 in lambda1 0.973 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.973 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.974 * [taylor]: Taking taylor expansion of R in lambda1 0.975 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.975 * [taylor]: Taking taylor expansion of -1 in lambda2 0.975 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.975 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.976 * [taylor]: Taking taylor expansion of R in lambda2 0.977 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.977 * [taylor]: Taking taylor expansion of -1 in R 0.977 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.977 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.977 * [taylor]: Taking taylor expansion of R in R 0.981 * [taylor]: Taking taylor expansion of 0 in phi2 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [taylor]: Taking taylor expansion of 0 in lambda1 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [taylor]: Taking taylor expansion of 0 in lambda2 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [taylor]: Taking taylor expansion of 0 in phi2 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [taylor]: Taking taylor expansion of 0 in lambda1 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in lambda2 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.994 * [taylor]: Taking taylor expansion of 0 in R 0.998 * * * [progress]: simplifying candidates 0.999 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos 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) (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 phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* (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 phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 1.004 * * [simplify]: iteration 0 : 281 enodes (cost 1000 ) 1.009 * * [simplify]: iteration 1 : 916 enodes (cost 859 ) 1.023 * * [simplify]: iteration 2 : 2499 enodes (cost 835 ) 1.056 * * [simplify]: iteration 3 : 5001 enodes (cost 835 ) 1.059 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (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 (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 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) (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))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 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) 1.059 * * * [progress]: adding candidates to table 1.410 * * [progress]: iteration 3 / 4 1.410 * * * [progress]: picking best candidate 1.495 * * * * [pick]: Picked # 1.495 * * * [progress]: localizing error 1.531 * * * [progress]: generating rewritten candidates 1.531 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 1.533 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.535 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.540 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 1) 1.547 * * * [progress]: generating series expansions 1.547 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 1.547 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.547 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.547 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.547 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.547 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.547 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.547 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.548 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.548 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.548 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.548 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.548 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.548 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.548 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.548 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.548 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.548 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.548 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.548 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.548 * [taylor]: Taking taylor expansion of 0 in lambda2 1.551 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.551 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.551 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.555 * [taylor]: Taking taylor expansion of 0 in lambda2 1.561 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.561 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.561 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.561 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.561 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.561 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.569 * [taylor]: Taking taylor expansion of 0 in lambda2 1.569 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.569 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.569 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.569 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.569 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.569 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.570 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.570 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.570 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.570 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.570 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.570 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.570 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.570 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.570 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.571 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.571 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.571 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.571 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.571 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.571 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.571 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.571 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.571 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.571 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.572 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.572 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.572 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.572 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.572 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.572 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.572 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.572 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.574 * [taylor]: Taking taylor expansion of 0 in lambda2 1.579 * [taylor]: Taking taylor expansion of 0 in lambda2 1.586 * [taylor]: Taking taylor expansion of 0 in lambda2 1.586 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.586 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.586 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.586 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.586 * [taylor]: Taking taylor expansion of -1 in lambda2 1.586 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.586 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.586 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.586 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.586 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.587 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.587 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.587 * [taylor]: Taking taylor expansion of -1 in lambda1 1.587 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.587 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.587 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.587 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.587 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.587 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.587 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.587 * [taylor]: Taking taylor expansion of -1 in lambda1 1.587 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.587 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.587 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.587 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.588 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.588 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.588 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.588 * [taylor]: Taking taylor expansion of -1 in lambda2 1.588 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.588 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.588 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.588 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.590 * [taylor]: Taking taylor expansion of 0 in lambda2 1.594 * [taylor]: Taking taylor expansion of 0 in lambda2 1.603 * [taylor]: Taking taylor expansion of 0 in lambda2 1.603 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.604 * [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 1.604 * [taylor]: Taking taylor 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 1.604 * [taylor]: Taking taylor 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 1.605 * [taylor]: Taking taylor 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 1.605 * [taylor]: Taking taylor 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 1.605 * [taylor]: Taking taylor 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 1.606 * [taylor]: Taking taylor 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 1.606 * [taylor]: Taking taylor 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 1.607 * [taylor]: Taking taylor 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 1.607 * [taylor]: Taking taylor expansion of 0 in phi2 1.607 * [taylor]: Taking taylor expansion of 0 in lambda1 1.607 * [taylor]: Taking taylor expansion of 0 in lambda2 1.607 * [taylor]: Taking taylor expansion of 0 in lambda1 1.607 * [taylor]: Taking taylor expansion of 0 in lambda2 1.607 * [taylor]: Taking taylor expansion of 0 in lambda2 1.607 * [taylor]: Taking taylor expansion of 0 in phi2 1.607 * [taylor]: Taking taylor expansion of 0 in lambda1 1.608 * [taylor]: Taking taylor expansion of 0 in lambda2 1.608 * [taylor]: Taking taylor expansion of 0 in lambda1 1.608 * [taylor]: Taking taylor expansion of 0 in lambda2 1.608 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.608 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.609 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.610 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.610 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.611 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.611 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.612 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.612 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.613 * [taylor]: Taking taylor expansion of 0 in phi2 1.613 * [taylor]: Taking taylor expansion of 0 in lambda1 1.613 * [taylor]: Taking taylor expansion of 0 in lambda2 1.614 * [taylor]: Taking taylor expansion of 0 in lambda1 1.614 * [taylor]: Taking taylor expansion of 0 in lambda2 1.614 * [taylor]: Taking taylor expansion of 0 in lambda2 1.614 * [taylor]: Taking taylor expansion of 0 in phi2 1.614 * [taylor]: Taking taylor expansion of 0 in lambda1 1.614 * [taylor]: Taking taylor expansion of 0 in lambda2 1.614 * [taylor]: Taking taylor expansion of 0 in lambda1 1.614 * [taylor]: Taking taylor expansion of 0 in lambda2 1.615 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.615 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.616 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.616 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.617 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.617 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.618 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.618 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.619 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.620 * [taylor]: Taking taylor expansion of 0 in phi2 1.620 * [taylor]: Taking taylor expansion of 0 in lambda1 1.620 * [taylor]: Taking taylor expansion of 0 in lambda2 1.620 * [taylor]: Taking taylor expansion of 0 in lambda1 1.620 * [taylor]: Taking taylor expansion of 0 in lambda2 1.620 * [taylor]: Taking taylor expansion of 0 in lambda2 1.620 * [taylor]: Taking taylor expansion of 0 in phi2 1.620 * [taylor]: Taking taylor expansion of 0 in lambda1 1.620 * [taylor]: Taking taylor expansion of 0 in lambda2 1.620 * [taylor]: Taking taylor expansion of 0 in lambda1 1.620 * [taylor]: Taking taylor expansion of 0 in lambda2 1.621 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.621 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.621 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.621 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.621 * [taylor]: Taking taylor expansion of phi1 in phi2 1.621 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.621 * [taylor]: Taking taylor expansion of phi2 in phi2 1.621 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.621 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.621 * [taylor]: Taking taylor expansion of phi1 in phi1 1.621 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.621 * [taylor]: Taking taylor expansion of phi2 in phi1 1.621 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.621 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.621 * [taylor]: Taking taylor expansion of phi1 in phi1 1.621 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.621 * [taylor]: Taking taylor expansion of phi2 in phi1 1.621 * [taylor]: Taking taylor expansion of 0 in phi2 1.623 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.623 * [taylor]: Taking taylor expansion of phi2 in phi2 1.626 * [taylor]: Taking taylor expansion of 0 in phi2 1.631 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.631 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.631 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.631 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.631 * [taylor]: Taking taylor expansion of phi2 in phi2 1.637 * [taylor]: Taking taylor expansion of 0 in phi2 1.637 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.637 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.637 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.637 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.637 * [taylor]: Taking taylor expansion of phi1 in phi2 1.637 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.637 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.637 * [taylor]: Taking taylor expansion of phi2 in phi2 1.638 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.638 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.638 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.638 * [taylor]: Taking taylor expansion of phi1 in phi1 1.638 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.638 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.638 * [taylor]: Taking taylor expansion of phi2 in phi1 1.638 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.638 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.638 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.638 * [taylor]: Taking taylor expansion of phi1 in phi1 1.639 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.639 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.639 * [taylor]: Taking taylor expansion of phi2 in phi1 1.639 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.639 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.639 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.639 * [taylor]: Taking taylor expansion of phi1 in phi2 1.639 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.639 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.639 * [taylor]: Taking taylor expansion of phi2 in phi2 1.641 * [taylor]: Taking taylor expansion of 0 in phi2 1.645 * [taylor]: Taking taylor expansion of 0 in phi2 1.651 * [taylor]: Taking taylor expansion of 0 in phi2 1.651 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.651 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.651 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.651 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.651 * [taylor]: Taking taylor expansion of -1 in phi2 1.651 * [taylor]: Taking taylor expansion of phi1 in phi2 1.651 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.651 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.651 * [taylor]: Taking taylor expansion of -1 in phi2 1.651 * [taylor]: Taking taylor expansion of phi2 in phi2 1.652 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.652 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.652 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.652 * [taylor]: Taking taylor expansion of -1 in phi1 1.652 * [taylor]: Taking taylor expansion of phi1 in phi1 1.652 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.652 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.652 * [taylor]: Taking taylor expansion of -1 in phi1 1.652 * [taylor]: Taking taylor expansion of phi2 in phi1 1.652 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.652 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.652 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.652 * [taylor]: Taking taylor expansion of -1 in phi1 1.652 * [taylor]: Taking taylor expansion of phi1 in phi1 1.653 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.653 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.653 * [taylor]: Taking taylor expansion of -1 in phi1 1.653 * [taylor]: Taking taylor expansion of phi2 in phi1 1.653 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.653 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.653 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.653 * [taylor]: Taking taylor expansion of -1 in phi2 1.653 * [taylor]: Taking taylor expansion of phi1 in phi2 1.653 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.653 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.653 * [taylor]: Taking taylor expansion of -1 in phi2 1.653 * [taylor]: Taking taylor expansion of phi2 in phi2 1.656 * [taylor]: Taking taylor expansion of 0 in phi2 1.660 * [taylor]: Taking taylor expansion of 0 in phi2 1.665 * [taylor]: Taking taylor expansion of 0 in phi2 1.665 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 1) 1.666 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.666 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.666 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.666 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.666 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.666 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.666 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.666 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.666 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.666 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.666 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.666 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.666 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.666 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.666 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.666 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.666 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.666 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.666 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.667 * [taylor]: Taking taylor expansion of 0 in lambda2 1.669 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.669 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.669 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.673 * [taylor]: Taking taylor expansion of 0 in lambda2 1.679 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.679 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.679 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.679 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.679 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.679 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.690 * [taylor]: Taking taylor expansion of 0 in lambda2 1.690 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.690 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.690 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.690 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.690 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.690 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.690 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.690 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.690 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.691 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.691 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.691 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.691 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.691 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.692 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.692 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.692 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.692 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.692 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.692 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.692 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.692 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.692 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.692 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.692 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.692 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.695 * [taylor]: Taking taylor expansion of 0 in lambda2 1.700 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.706 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.706 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.707 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.707 * [taylor]: Taking taylor expansion of -1 in lambda2 1.707 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.707 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.707 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.707 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.707 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.707 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.707 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.707 * [taylor]: Taking taylor expansion of -1 in lambda1 1.707 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.707 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.707 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.707 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.707 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.708 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.708 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.708 * [taylor]: Taking taylor expansion of -1 in lambda1 1.708 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.708 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.708 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.708 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.708 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.708 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.708 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.708 * [taylor]: Taking taylor expansion of -1 in lambda2 1.708 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.708 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.708 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.708 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.711 * [taylor]: Taking taylor expansion of 0 in lambda2 1.715 * [taylor]: Taking taylor expansion of 0 in lambda2 1.720 * [taylor]: Taking taylor expansion of 0 in lambda2 1.720 * * * [progress]: simplifying candidates 1.721 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (sin lambda1) (sin (- lambda2))))) (cbrt (exp (* (sin lambda1) (sin (- lambda2))))))) (log (cbrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log 1) (log (exp (* (sin lambda1) (sin (- lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin (- lambda2))))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin (- lambda2)))))) (exp (log (exp (* (sin lambda1) (sin (- lambda2)))))) (* (cbrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin (- lambda2))))))) (cbrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (* (* (log (exp (* (sin lambda1) (sin (- lambda2))))) (log (exp (* (sin lambda1) (sin (- lambda2)))))) (log (exp (* (sin lambda1) (sin (- lambda2)))))) (sqrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (sqrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 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 phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.726 * * [simplify]: iteration 0 : 250 enodes (cost 633 ) 1.730 * * [simplify]: iteration 1 : 728 enodes (cost 545 ) 1.741 * * [simplify]: iteration 2 : 2028 enodes (cost 539 ) 1.773 * * [simplify]: iteration 3 : 5001 enodes (cost 539 ) 1.775 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (sin lambda1) (sin (- lambda2))))))) (log (cbrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) 0 (* (sin lambda1) (sin (- lambda2))) 0 (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (sin lambda1) (* (sin lambda1) (sin (- lambda2))) (sin lambda1) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (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 (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) 1.775 * * * [progress]: adding candidates to table 2.148 * * [progress]: iteration 4 / 4 2.148 * * * [progress]: picking best candidate 2.235 * * * * [pick]: Picked # 2.235 * * * [progress]: localizing error 2.273 * * * [progress]: generating rewritten candidates 2.273 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 2 2 2) 2.275 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 1) 2.291 * * * [progress]: generating series expansions 2.291 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 2 2 2) 2.291 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 2.291 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 2.291 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.291 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.291 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.291 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.291 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.292 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.292 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.292 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.292 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.292 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.292 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.292 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.292 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.292 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.292 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.292 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.292 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.292 * [taylor]: Taking taylor expansion of 0 in lambda2 2.295 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.295 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.295 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.299 * [taylor]: Taking taylor expansion of 0 in lambda2 2.304 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 2.304 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 2.304 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.305 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.305 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.305 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.313 * [taylor]: Taking taylor expansion of 0 in lambda2 2.313 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 2.313 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.313 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.313 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.313 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.313 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.314 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.314 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.314 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.314 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.314 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.314 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.314 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.314 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.315 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.315 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.315 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.315 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.315 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.315 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.315 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.316 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.316 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.316 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.316 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.318 * [taylor]: Taking taylor expansion of 0 in lambda2 2.326 * [taylor]: Taking taylor expansion of 0 in lambda2 2.332 * [taylor]: Taking taylor expansion of 0 in lambda2 2.333 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.333 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.333 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.333 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.333 * [taylor]: Taking taylor expansion of -1 in lambda2 2.333 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.333 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.333 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.333 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.333 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.333 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.333 * [taylor]: Taking taylor expansion of -1 in lambda1 2.333 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.334 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.334 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.334 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.334 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.334 * [taylor]: Taking taylor expansion of -1 in lambda1 2.334 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.334 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.335 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.335 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.335 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.335 * [taylor]: Taking taylor expansion of -1 in lambda2 2.335 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.335 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.335 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.335 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.337 * [taylor]: Taking taylor expansion of 0 in lambda2 2.341 * [taylor]: Taking taylor expansion of 0 in lambda2 2.347 * [taylor]: Taking taylor expansion of 0 in lambda2 2.347 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.348 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (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 2.348 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.348 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.348 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.348 * [taylor]: Taking taylor expansion of PI in lambda2 2.348 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.348 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.348 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.348 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.348 * [taylor]: Taking taylor expansion of PI in lambda1 2.348 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.349 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.349 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.349 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.349 * [taylor]: Taking taylor expansion of PI in phi2 2.349 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.349 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.349 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.349 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.349 * [taylor]: Taking taylor expansion of PI in phi1 2.349 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.350 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi1 2.350 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.350 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.350 * [taylor]: Taking taylor expansion of PI in phi1 2.350 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.352 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in phi2 2.352 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.352 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.352 * [taylor]: Taking taylor expansion of PI in phi2 2.352 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.354 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda1 2.354 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.354 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.354 * [taylor]: Taking taylor expansion of PI in lambda1 2.354 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.356 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) in lambda2 2.356 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.356 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.356 * [taylor]: Taking taylor expansion of PI in lambda2 2.356 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.359 * [taylor]: Taking taylor expansion of 0 in phi2 2.359 * [taylor]: Taking taylor expansion of 0 in lambda1 2.359 * [taylor]: Taking taylor expansion of 0 in lambda2 2.360 * [taylor]: Taking taylor expansion of 0 in lambda1 2.360 * [taylor]: Taking taylor expansion of 0 in lambda2 2.361 * [taylor]: Taking taylor expansion of 0 in lambda2 2.363 * [taylor]: Taking taylor expansion of 0 in phi2 2.363 * [taylor]: Taking taylor expansion of 0 in lambda1 2.363 * [taylor]: Taking taylor expansion of 0 in lambda2 2.363 * [taylor]: Taking taylor expansion of 0 in lambda1 2.363 * [taylor]: Taking taylor expansion of 0 in lambda2 2.365 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.365 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.365 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.365 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.365 * [taylor]: Taking taylor expansion of PI in lambda2 2.365 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.366 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.366 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.366 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.366 * [taylor]: Taking taylor expansion of PI in lambda1 2.366 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.366 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.366 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.366 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.366 * [taylor]: Taking taylor expansion of PI in phi2 2.366 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.367 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.367 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.367 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.367 * [taylor]: Taking taylor expansion of PI in phi1 2.367 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.367 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi1 2.368 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.368 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.368 * [taylor]: Taking taylor expansion of PI in phi1 2.368 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.370 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in phi2 2.370 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.370 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.370 * [taylor]: Taking taylor expansion of PI in phi2 2.370 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.372 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda1 2.372 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.372 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.372 * [taylor]: Taking taylor expansion of PI in lambda1 2.372 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.375 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2))))))))) in lambda2 2.375 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.375 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.375 * [taylor]: Taking taylor expansion of PI in lambda2 2.375 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.379 * [taylor]: Taking taylor expansion of 0 in phi2 2.379 * [taylor]: Taking taylor expansion of 0 in lambda1 2.379 * [taylor]: Taking taylor expansion of 0 in lambda2 2.380 * [taylor]: Taking taylor expansion of 0 in lambda1 2.380 * [taylor]: Taking taylor expansion of 0 in lambda2 2.381 * [taylor]: Taking taylor expansion of 0 in lambda2 2.383 * [taylor]: Taking taylor expansion of 0 in phi2 2.383 * [taylor]: Taking taylor expansion of 0 in lambda1 2.383 * [taylor]: Taking taylor expansion of 0 in lambda2 2.383 * [taylor]: Taking taylor expansion of 0 in lambda1 2.383 * [taylor]: Taking taylor expansion of 0 in lambda2 2.385 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.385 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.385 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.385 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.385 * [taylor]: Taking taylor expansion of PI in lambda2 2.385 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.386 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.386 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.386 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.386 * [taylor]: Taking taylor expansion of PI in lambda1 2.386 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.386 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.386 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.386 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.386 * [taylor]: Taking taylor expansion of PI in phi2 2.386 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.387 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.387 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.387 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.387 * [taylor]: Taking taylor expansion of PI in phi1 2.387 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.387 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 2.387 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 2.387 * [taylor]: Taking taylor expansion of 1/2 in phi1 2.387 * [taylor]: Taking taylor expansion of PI in phi1 2.387 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.390 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 2.390 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 2.390 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.390 * [taylor]: Taking taylor expansion of PI in phi2 2.390 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.392 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda1 2.392 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 2.392 * [taylor]: Taking taylor expansion of 1/2 in lambda1 2.392 * [taylor]: Taking taylor expansion of PI in lambda1 2.392 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.394 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 2.394 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 2.394 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.394 * [taylor]: Taking taylor expansion of PI in lambda2 2.394 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.398 * [taylor]: Taking taylor expansion of 0 in phi2 2.398 * [taylor]: Taking taylor expansion of 0 in lambda1 2.398 * [taylor]: Taking taylor expansion of 0 in lambda2 2.399 * [taylor]: Taking taylor expansion of 0 in lambda1 2.399 * [taylor]: Taking taylor expansion of 0 in lambda2 2.400 * [taylor]: Taking taylor expansion of 0 in lambda2 2.402 * [taylor]: Taking taylor expansion of 0 in phi2 2.402 * [taylor]: Taking taylor expansion of 0 in lambda1 2.402 * [taylor]: Taking taylor expansion of 0 in lambda2 2.402 * [taylor]: Taking taylor expansion of 0 in lambda1 2.402 * [taylor]: Taking taylor expansion of 0 in lambda2 2.403 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.404 * [approximate]: Taking taylor expansion of (asin (- (+ (* (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 2.404 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.404 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.405 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.405 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.405 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.406 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.406 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.407 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.408 * [taylor]: Taking taylor expansion of 0 in phi2 2.408 * [taylor]: Taking taylor expansion of 0 in lambda1 2.408 * [taylor]: Taking taylor expansion of 0 in lambda2 2.408 * [taylor]: Taking taylor expansion of 0 in lambda1 2.408 * [taylor]: Taking taylor expansion of 0 in lambda2 2.408 * [taylor]: Taking taylor expansion of 0 in lambda2 2.408 * [taylor]: Taking taylor expansion of 0 in phi2 2.408 * [taylor]: Taking taylor expansion of 0 in lambda1 2.408 * [taylor]: Taking taylor expansion of 0 in lambda2 2.408 * [taylor]: Taking taylor expansion of 0 in lambda1 2.408 * [taylor]: Taking taylor expansion of 0 in lambda2 2.409 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.409 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.409 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.410 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.410 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.413 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.414 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.414 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.415 * [taylor]: Taking taylor expansion of (asin (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.416 * [taylor]: Taking taylor expansion of 0 in phi2 2.416 * [taylor]: Taking taylor expansion of 0 in lambda1 2.416 * [taylor]: Taking taylor expansion of 0 in lambda2 2.416 * [taylor]: Taking taylor expansion of 0 in lambda1 2.416 * [taylor]: Taking taylor expansion of 0 in lambda2 2.416 * [taylor]: Taking taylor expansion of 0 in lambda2 2.416 * [taylor]: Taking taylor expansion of 0 in phi2 2.416 * [taylor]: Taking taylor expansion of 0 in lambda1 2.416 * [taylor]: Taking taylor expansion of 0 in lambda2 2.416 * [taylor]: Taking taylor expansion of 0 in lambda1 2.416 * [taylor]: Taking taylor expansion of 0 in lambda2 2.417 * [approximate]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.417 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.418 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.419 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.419 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.420 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.420 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.421 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.421 * [taylor]: Taking taylor expansion of (asin (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.422 * [taylor]: Taking taylor expansion of 0 in phi2 2.422 * [taylor]: Taking taylor expansion of 0 in lambda1 2.422 * [taylor]: Taking taylor expansion of 0 in lambda2 2.422 * [taylor]: Taking taylor expansion of 0 in lambda1 2.422 * [taylor]: Taking taylor expansion of 0 in lambda2 2.422 * [taylor]: Taking taylor expansion of 0 in lambda2 2.422 * [taylor]: Taking taylor expansion of 0 in phi2 2.422 * [taylor]: Taking taylor expansion of 0 in lambda1 2.422 * [taylor]: Taking taylor expansion of 0 in lambda2 2.422 * [taylor]: Taking taylor expansion of 0 in lambda1 2.422 * [taylor]: Taking taylor expansion of 0 in lambda2 2.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 1) 2.423 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.423 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.423 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.423 * [taylor]: Taking taylor expansion of phi1 in phi2 2.423 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.423 * [taylor]: Taking taylor expansion of phi2 in phi2 2.423 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.423 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.423 * [taylor]: Taking taylor expansion of phi1 in phi1 2.423 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.423 * [taylor]: Taking taylor expansion of phi2 in phi1 2.423 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.424 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.424 * [taylor]: Taking taylor expansion of phi1 in phi1 2.424 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.424 * [taylor]: Taking taylor expansion of phi2 in phi1 2.424 * [taylor]: Taking taylor expansion of 0 in phi2 2.426 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.426 * [taylor]: Taking taylor expansion of phi2 in phi2 2.429 * [taylor]: Taking taylor expansion of 0 in phi2 2.434 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.434 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.434 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.434 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.434 * [taylor]: Taking taylor expansion of phi2 in phi2 2.440 * [taylor]: Taking taylor expansion of 0 in phi2 2.440 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.440 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.440 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.440 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.440 * [taylor]: Taking taylor expansion of phi1 in phi2 2.440 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.440 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.440 * [taylor]: Taking taylor expansion of phi2 in phi2 2.440 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.441 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.441 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.441 * [taylor]: Taking taylor expansion of phi1 in phi1 2.441 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.441 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.441 * [taylor]: Taking taylor expansion of phi2 in phi1 2.441 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.441 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.441 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.441 * [taylor]: Taking taylor expansion of phi1 in phi1 2.441 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.441 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.441 * [taylor]: Taking taylor expansion of phi2 in phi1 2.442 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.442 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.442 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.442 * [taylor]: Taking taylor expansion of phi1 in phi2 2.442 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.442 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.442 * [taylor]: Taking taylor expansion of phi2 in phi2 2.444 * [taylor]: Taking taylor expansion of 0 in phi2 2.448 * [taylor]: Taking taylor expansion of 0 in phi2 2.454 * [taylor]: Taking taylor expansion of 0 in phi2 2.454 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.454 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.454 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.454 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.454 * [taylor]: Taking taylor expansion of -1 in phi2 2.454 * [taylor]: Taking taylor expansion of phi1 in phi2 2.454 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.454 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.454 * [taylor]: Taking taylor expansion of -1 in phi2 2.454 * [taylor]: Taking taylor expansion of phi2 in phi2 2.455 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.455 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.455 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.455 * [taylor]: Taking taylor expansion of -1 in phi1 2.455 * [taylor]: Taking taylor expansion of phi1 in phi1 2.455 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.455 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.455 * [taylor]: Taking taylor expansion of -1 in phi1 2.455 * [taylor]: Taking taylor expansion of phi2 in phi1 2.455 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.455 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.455 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.455 * [taylor]: Taking taylor expansion of -1 in phi1 2.455 * [taylor]: Taking taylor expansion of phi1 in phi1 2.456 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.456 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.456 * [taylor]: Taking taylor expansion of -1 in phi1 2.456 * [taylor]: Taking taylor expansion of phi2 in phi1 2.456 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.456 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.456 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.456 * [taylor]: Taking taylor expansion of -1 in phi2 2.456 * [taylor]: Taking taylor expansion of phi1 in phi2 2.456 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.456 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.456 * [taylor]: Taking taylor expansion of -1 in phi2 2.456 * [taylor]: Taking taylor expansion of phi2 in phi2 2.459 * [taylor]: Taking taylor expansion of 0 in phi2 2.463 * [taylor]: Taking taylor expansion of 0 in phi2 2.469 * [taylor]: Taking taylor expansion of 0 in phi2 2.469 * * * [progress]: simplifying candidates 2.470 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (sin lambda1) (sin (- lambda2))))) (cbrt (exp (* (sin lambda1) (sin (- lambda2))))))) (log (cbrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log 1) (log (exp (* (sin lambda1) (sin (- lambda2))))) (log 1) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (* (sin lambda1) (sin lambda2)))) (log (exp (sin lambda1))) (log (exp (* (sin lambda1) (sin (- lambda2))))) (log (exp (sin lambda1))) (log (log (exp (* (sin lambda1) (sin (- lambda2)))))) (exp (log (exp (* (sin lambda1) (sin (- lambda2)))))) (* (cbrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin (- lambda2))))))) (cbrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (* (* (log (exp (* (sin lambda1) (sin (- lambda2))))) (log (exp (* (sin lambda1) (sin (- lambda2)))))) (log (exp (* (sin lambda1) (sin (- lambda2)))))) (sqrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (sqrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))))) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (/ PI 2) (/ PI 2)) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.475 * * [simplify]: iteration 0 : 268 enodes (cost 1074 ) 2.479 * * [simplify]: iteration 1 : 667 enodes (cost 995 ) 2.489 * * [simplify]: iteration 2 : 1685 enodes (cost 989 ) 2.518 * * [simplify]: iteration 3 : 5001 enodes (cost 989 ) 2.522 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (sin lambda1) (sin (- lambda2))))))) (log (cbrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) (log (sqrt (exp (* (sin lambda1) (sin (- lambda2)))))) 0 (* (sin lambda1) (sin (- lambda2))) 0 (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (sin lambda1) (* (sin lambda1) (sin (- lambda2))) (sin lambda1) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (cbrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (cbrt (log (exp (* (sin lambda1) (sin (- lambda2))))))) (cbrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (sqrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (sqrt (log (exp (* (sin lambda1) (sin (- lambda2)))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) 3) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) 3)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) 0 (- (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) 3) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2)))))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (- (* 1/2 PI) (asin (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin (- lambda2))))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.522 * * * [progress]: adding candidates to table 2.916 * [progress]: [Phase 3 of 3] Extracting. 2.916 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # #) 2.945 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 2.945 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # # #) 3.093 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # # #) 3.241 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # # #) 3.389 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # # #) 3.539 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # # #) 3.688 * * * [regime]: Found split indices: #