12.940 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.242 * * * [progress]: [2/2] Setting up program. 0.246 * [progress]: [Phase 2 of 3] Improving. 0.246 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.247 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.249 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.252 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.256 * * [simplify]: iteration done : 33 enodes (cost 19 ) 0.256 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.256 * * [progress]: iteration 1 / 4 0.256 * * * [progress]: picking best candidate 0.260 * * * * [pick]: Picked # 0.260 * * * [progress]: localizing error 0.288 * * * [progress]: generating rewritten candidates 0.288 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.292 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.293 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.297 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.301 * * * [progress]: generating series expansions 0.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.301 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.301 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.301 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.301 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.301 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.301 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.301 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.302 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.302 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.302 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.302 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.302 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.302 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.305 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.305 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.305 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.305 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.308 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.308 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.308 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.308 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.308 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.308 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.311 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.311 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.311 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.311 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.311 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.311 * [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 (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.312 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.312 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.312 * [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 (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.312 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.312 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.312 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.312 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.312 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.313 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda2 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 0.314 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 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 0.315 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.315 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.316 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.316 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.316 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.316 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.317 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 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 lambda2 0.318 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.318 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.318 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.318 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.318 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.318 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 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 0.320 * [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 0.320 * [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 0.321 * [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 0.321 * [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 0.321 * [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 0.321 * [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 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.322 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 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 * [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 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.324 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.326 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in phi2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda1 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda1 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in phi2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda1 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda1 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.327 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.327 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.327 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.327 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.327 * [taylor]: Taking taylor expansion of phi1 in phi2 0.327 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.327 * [taylor]: Taking taylor expansion of phi2 in phi2 0.327 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.327 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.327 * [taylor]: Taking taylor expansion of phi1 in phi1 0.327 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.327 * [taylor]: Taking taylor expansion of phi2 in phi1 0.327 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.327 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.327 * [taylor]: Taking taylor expansion of phi1 in phi1 0.327 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.327 * [taylor]: Taking taylor expansion of phi2 in phi1 0.327 * [taylor]: Taking taylor expansion of 0 in phi2 0.330 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.330 * [taylor]: Taking taylor expansion of phi2 in phi2 0.333 * [taylor]: Taking taylor expansion of 0 in phi2 0.337 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.337 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.337 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.337 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.337 * [taylor]: Taking taylor expansion of phi2 in phi2 0.343 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.343 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.343 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.343 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.343 * [taylor]: Taking taylor expansion of phi1 in phi2 0.343 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.343 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.343 * [taylor]: Taking taylor expansion of phi2 in phi2 0.343 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.343 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.343 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.343 * [taylor]: Taking taylor expansion of phi1 in phi1 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.344 * [taylor]: Taking taylor expansion of phi2 in phi1 0.344 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.344 * [taylor]: Taking taylor expansion of phi1 in phi1 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.344 * [taylor]: Taking taylor expansion of phi2 in phi1 0.344 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.344 * [taylor]: Taking taylor expansion of phi1 in phi2 0.345 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.345 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.345 * [taylor]: Taking taylor expansion of phi2 in phi2 0.347 * [taylor]: Taking taylor expansion of 0 in phi2 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.360 * [taylor]: Taking taylor expansion of 0 in phi2 0.360 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.360 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.360 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.360 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.360 * [taylor]: Taking taylor expansion of -1 in phi2 0.360 * [taylor]: Taking taylor expansion of phi1 in phi2 0.360 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.360 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.360 * [taylor]: Taking taylor expansion of -1 in phi2 0.360 * [taylor]: Taking taylor expansion of phi2 in phi2 0.361 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.361 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.361 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.361 * [taylor]: Taking taylor expansion of -1 in phi1 0.361 * [taylor]: Taking taylor expansion of phi1 in phi1 0.361 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.361 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.361 * [taylor]: Taking taylor expansion of -1 in phi1 0.361 * [taylor]: Taking taylor expansion of phi2 in phi1 0.361 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.361 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.361 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.361 * [taylor]: Taking taylor expansion of -1 in phi1 0.361 * [taylor]: Taking taylor expansion of phi1 in phi1 0.362 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.362 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.362 * [taylor]: Taking taylor expansion of -1 in phi1 0.362 * [taylor]: Taking taylor expansion of phi2 in phi1 0.362 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.362 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.362 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.362 * [taylor]: Taking taylor expansion of -1 in phi2 0.362 * [taylor]: Taking taylor expansion of phi1 in phi2 0.362 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.362 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.362 * [taylor]: Taking taylor expansion of -1 in phi2 0.362 * [taylor]: Taking taylor expansion of phi2 in phi2 0.364 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.373 * [taylor]: Taking taylor expansion of 0 in phi2 0.374 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.374 * [taylor]: Taking taylor expansion of R in R 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.374 * [taylor]: Taking taylor expansion of R in lambda2 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.375 * [taylor]: Taking taylor expansion of R in lambda1 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.375 * [taylor]: Taking taylor expansion of R in phi2 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.376 * [taylor]: Taking taylor expansion of R in phi2 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.376 * [taylor]: Taking taylor expansion of R in lambda1 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.376 * [taylor]: Taking taylor expansion of R in lambda2 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.377 * [taylor]: Taking taylor expansion of R in R 0.377 * [taylor]: Taking taylor expansion of 0 in phi2 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in phi2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [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 0.382 * [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 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of R in R 0.382 * [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 0.382 * [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 0.383 * [taylor]: Taking taylor expansion of R in lambda2 0.383 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of R in lambda1 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of R in phi2 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of R in phi1 0.385 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of R in phi1 0.385 * [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 0.385 * [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 0.386 * [taylor]: Taking taylor expansion of R in phi2 0.386 * [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 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of R in lambda1 0.386 * [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 0.386 * [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 0.387 * [taylor]: Taking taylor expansion of R in lambda2 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of R in R 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda1 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in phi2 0.391 * [taylor]: Taking taylor expansion of 0 in lambda1 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda1 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda1 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [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 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of -1 in R 0.394 * [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 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of R in R 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of -1 in lambda2 0.395 * [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 0.395 * [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 0.395 * [taylor]: Taking taylor expansion of R in lambda2 0.396 * [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 0.396 * [taylor]: Taking taylor expansion of -1 in lambda1 0.396 * [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 0.396 * [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 0.396 * [taylor]: Taking taylor expansion of R in lambda1 0.396 * [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 0.396 * [taylor]: Taking taylor expansion of -1 in phi2 0.396 * [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 0.396 * [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 0.397 * [taylor]: Taking taylor expansion of R in phi2 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of -1 in phi1 0.397 * [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 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of R in phi1 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of -1 in phi1 0.397 * [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 0.397 * [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 0.398 * [taylor]: Taking taylor expansion of R in phi1 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of -1 in phi2 0.398 * [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 0.398 * [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 0.399 * [taylor]: Taking taylor expansion of R in phi2 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of -1 in lambda1 0.399 * [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 0.399 * [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 0.400 * [taylor]: Taking taylor expansion of R in lambda1 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of -1 in lambda2 0.400 * [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 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of R in lambda2 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of -1 in R 0.401 * [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 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of R in R 0.403 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [taylor]: Taking taylor expansion of 0 in lambda1 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.404 * [taylor]: Taking taylor expansion of 0 in lambda1 0.404 * [taylor]: Taking taylor expansion of 0 in lambda2 0.404 * [taylor]: Taking taylor expansion of 0 in R 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in phi2 0.409 * [taylor]: Taking taylor expansion of 0 in lambda1 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in lambda1 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in lambda1 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [taylor]: Taking taylor expansion of 0 in lambda2 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.415 * * * [progress]: simplifying candidates 0.416 * [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)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 0.419 * * [simplify]: iteration 0 : 111 enodes (cost 1035 ) 0.437 * * [simplify]: iteration 1 : 199 enodes (cost 1027 ) 0.468 * * [simplify]: iteration 2 : 434 enodes (cost 889 ) 0.620 * * [simplify]: iteration 3 : 808 enodes (cost 887 ) 0.842 * * [simplify]: iteration 4 : 1165 enodes (cost 887 ) 1.210 * * [simplify]: iteration 5 : 2181 enodes (cost 887 ) 2.318 * * [simplify]: iteration done : 5000 enodes (cost 887 ) 2.318 * [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)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- 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 (- lambda1 lambda2)) (cos phi2))))) (* (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) (+ (* lambda1 (- lambda2 (* lambda1 1/2))) 1) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 2.319 * * * [progress]: adding candidates to table 2.566 * * [progress]: iteration 2 / 4 2.566 * * * [progress]: picking best candidate 2.613 * * * * [pick]: Picked # 2.613 * * * [progress]: localizing error 2.645 * * * [progress]: generating rewritten candidates 2.645 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.645 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.652 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 2.659 * * * [progress]: generating series expansions 2.659 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.660 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.660 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.660 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.660 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.661 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.661 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.661 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.662 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.662 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.663 * [taylor]: Taking taylor expansion of 0 in phi2 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.663 * [taylor]: Taking taylor expansion of 0 in phi2 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.663 * [taylor]: Taking taylor expansion of 0 in lambda1 2.663 * [taylor]: Taking taylor expansion of 0 in lambda2 2.664 * [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 2.664 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.665 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.665 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.666 * [taylor]: Taking taylor 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 2.666 * [taylor]: Taking taylor 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 2.667 * [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 2.667 * [taylor]: Taking taylor 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 2.668 * [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 2.669 * [taylor]: Taking taylor expansion of 0 in phi2 2.669 * [taylor]: Taking taylor expansion of 0 in lambda1 2.669 * [taylor]: Taking taylor expansion of 0 in lambda2 2.669 * [taylor]: Taking taylor expansion of 0 in lambda1 2.669 * [taylor]: Taking taylor expansion of 0 in lambda2 2.669 * [taylor]: Taking taylor expansion of 0 in lambda2 2.669 * [taylor]: Taking taylor expansion of 0 in phi2 2.669 * [taylor]: Taking taylor expansion of 0 in lambda1 2.669 * [taylor]: Taking taylor expansion of 0 in lambda2 2.669 * [taylor]: Taking taylor expansion of 0 in lambda1 2.669 * [taylor]: Taking taylor expansion of 0 in lambda2 2.670 * [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 2.670 * [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 2.671 * [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 2.671 * [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 2.671 * [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 2.672 * [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 2.672 * [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 2.673 * [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 2.673 * [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 2.674 * [taylor]: Taking taylor expansion of 0 in phi2 2.674 * [taylor]: Taking taylor expansion of 0 in lambda1 2.674 * [taylor]: Taking taylor expansion of 0 in lambda2 2.675 * [taylor]: Taking taylor expansion of 0 in lambda1 2.675 * [taylor]: Taking taylor expansion of 0 in lambda2 2.675 * [taylor]: Taking taylor expansion of 0 in lambda2 2.675 * [taylor]: Taking taylor expansion of 0 in phi2 2.675 * [taylor]: Taking taylor expansion of 0 in lambda1 2.675 * [taylor]: Taking taylor expansion of 0 in lambda2 2.675 * [taylor]: Taking taylor expansion of 0 in lambda1 2.675 * [taylor]: Taking taylor expansion of 0 in lambda2 2.675 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.675 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.675 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.675 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.676 * [taylor]: Taking taylor expansion of phi1 in phi2 2.676 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.676 * [taylor]: Taking taylor expansion of phi2 in phi2 2.676 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.676 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.676 * [taylor]: Taking taylor expansion of phi1 in phi1 2.676 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.676 * [taylor]: Taking taylor expansion of phi2 in phi1 2.676 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.676 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.676 * [taylor]: Taking taylor expansion of phi1 in phi1 2.676 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.676 * [taylor]: Taking taylor expansion of phi2 in phi1 2.676 * [taylor]: Taking taylor expansion of 0 in phi2 2.678 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.678 * [taylor]: Taking taylor expansion of phi2 in phi2 2.681 * [taylor]: Taking taylor expansion of 0 in phi2 2.685 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.685 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.685 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.685 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.685 * [taylor]: Taking taylor expansion of phi2 in phi2 2.691 * [taylor]: Taking taylor expansion of 0 in phi2 2.691 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.691 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.691 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.691 * [taylor]: Taking taylor expansion of phi1 in phi2 2.691 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.691 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.691 * [taylor]: Taking taylor expansion of phi2 in phi2 2.692 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.692 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.692 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.692 * [taylor]: Taking taylor expansion of phi1 in phi1 2.692 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.692 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.692 * [taylor]: Taking taylor expansion of phi2 in phi1 2.692 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.692 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.692 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.692 * [taylor]: Taking taylor expansion of phi1 in phi1 2.693 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.693 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.693 * [taylor]: Taking taylor expansion of phi2 in phi1 2.693 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.693 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.693 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.693 * [taylor]: Taking taylor expansion of phi1 in phi2 2.693 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.693 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.693 * [taylor]: Taking taylor expansion of phi2 in phi2 2.695 * [taylor]: Taking taylor expansion of 0 in phi2 2.699 * [taylor]: Taking taylor expansion of 0 in phi2 2.707 * [taylor]: Taking taylor expansion of 0 in phi2 2.707 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.707 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.707 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.707 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.707 * [taylor]: Taking taylor expansion of -1 in phi2 2.707 * [taylor]: Taking taylor expansion of phi1 in phi2 2.707 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.707 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.707 * [taylor]: Taking taylor expansion of -1 in phi2 2.707 * [taylor]: Taking taylor expansion of phi2 in phi2 2.707 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.707 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.708 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.708 * [taylor]: Taking taylor expansion of -1 in phi1 2.708 * [taylor]: Taking taylor expansion of phi1 in phi1 2.708 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.708 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.708 * [taylor]: Taking taylor expansion of -1 in phi1 2.708 * [taylor]: Taking taylor expansion of phi2 in phi1 2.708 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.708 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.708 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.708 * [taylor]: Taking taylor expansion of -1 in phi1 2.708 * [taylor]: Taking taylor expansion of phi1 in phi1 2.708 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.708 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.708 * [taylor]: Taking taylor expansion of -1 in phi1 2.708 * [taylor]: Taking taylor expansion of phi2 in phi1 2.709 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.709 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.709 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.709 * [taylor]: Taking taylor expansion of -1 in phi2 2.709 * [taylor]: Taking taylor expansion of phi1 in phi2 2.709 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.709 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.709 * [taylor]: Taking taylor expansion of -1 in phi2 2.709 * [taylor]: Taking taylor expansion of phi2 in phi2 2.711 * [taylor]: Taking taylor expansion of 0 in phi2 2.715 * [taylor]: Taking taylor expansion of 0 in phi2 2.720 * [taylor]: Taking taylor expansion of 0 in phi2 2.720 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.721 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.721 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.721 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.721 * [taylor]: Taking taylor expansion of R in R 2.721 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.721 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.722 * [taylor]: Taking taylor expansion of R in lambda2 2.722 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.722 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.722 * [taylor]: Taking taylor expansion of R in lambda1 2.722 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.722 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.722 * [taylor]: Taking taylor expansion of R in phi2 2.722 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.723 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.723 * [taylor]: Taking taylor expansion of R in phi1 2.723 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.723 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.723 * [taylor]: Taking taylor expansion of R in phi1 2.724 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.724 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.724 * [taylor]: Taking taylor expansion of R in phi2 2.724 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.724 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.725 * [taylor]: Taking taylor expansion of R in lambda1 2.725 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.725 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.726 * [taylor]: Taking taylor expansion of R in lambda2 2.726 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.726 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.726 * [taylor]: Taking taylor expansion of R in R 2.727 * [taylor]: Taking taylor expansion of 0 in phi2 2.727 * [taylor]: Taking taylor expansion of 0 in lambda1 2.727 * [taylor]: Taking taylor expansion of 0 in lambda2 2.727 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in lambda1 2.728 * [taylor]: Taking taylor expansion of 0 in lambda2 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in lambda2 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.730 * [taylor]: Taking taylor expansion of 0 in phi2 2.730 * [taylor]: Taking taylor expansion of 0 in lambda1 2.730 * [taylor]: Taking taylor expansion of 0 in lambda2 2.730 * [taylor]: Taking taylor expansion of 0 in R 2.730 * [taylor]: Taking taylor expansion of 0 in lambda1 2.730 * [taylor]: Taking taylor expansion of 0 in lambda2 2.730 * [taylor]: Taking taylor expansion of 0 in R 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [taylor]: Taking taylor expansion of 0 in R 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [taylor]: Taking taylor expansion of 0 in R 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [taylor]: Taking taylor expansion of 0 in R 2.732 * [taylor]: Taking taylor expansion of 0 in lambda2 2.732 * [taylor]: Taking taylor expansion of 0 in R 2.733 * [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 2.733 * [taylor]: Taking taylor 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 2.733 * [taylor]: Taking taylor 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 2.734 * [taylor]: Taking taylor expansion of R in R 2.734 * [taylor]: Taking taylor 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 2.734 * [taylor]: Taking taylor 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 2.735 * [taylor]: Taking taylor expansion of R in lambda2 2.735 * [taylor]: Taking taylor 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 2.735 * [taylor]: Taking taylor 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 2.736 * [taylor]: Taking taylor expansion of R in lambda1 2.736 * [taylor]: Taking taylor 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 2.736 * [taylor]: Taking taylor 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 2.737 * [taylor]: Taking taylor expansion of R in phi2 2.737 * [taylor]: Taking taylor 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 2.737 * [taylor]: Taking taylor 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 2.738 * [taylor]: Taking taylor expansion of R in phi1 2.738 * [taylor]: Taking taylor 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 2.738 * [taylor]: Taking taylor 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 2.739 * [taylor]: Taking taylor expansion of R in phi1 2.739 * [taylor]: Taking taylor 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 2.739 * [taylor]: Taking taylor 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 2.740 * [taylor]: Taking taylor expansion of R in phi2 2.740 * [taylor]: Taking taylor 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 2.740 * [taylor]: Taking taylor 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 2.741 * [taylor]: Taking taylor expansion of R in lambda1 2.741 * [taylor]: Taking taylor 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 2.741 * [taylor]: Taking taylor 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 2.742 * [taylor]: Taking taylor expansion of R in lambda2 2.742 * [taylor]: Taking taylor 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 2.742 * [taylor]: Taking taylor 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 2.743 * [taylor]: Taking taylor expansion of R in R 2.745 * [taylor]: Taking taylor expansion of 0 in phi2 2.745 * [taylor]: Taking taylor expansion of 0 in lambda1 2.745 * [taylor]: Taking taylor expansion of 0 in lambda2 2.745 * [taylor]: Taking taylor expansion of 0 in R 2.745 * [taylor]: Taking taylor expansion of 0 in lambda1 2.745 * [taylor]: Taking taylor expansion of 0 in lambda2 2.745 * [taylor]: Taking taylor expansion of 0 in R 2.746 * [taylor]: Taking taylor expansion of 0 in lambda2 2.746 * [taylor]: Taking taylor expansion of 0 in R 2.747 * [taylor]: Taking taylor expansion of 0 in R 2.748 * [taylor]: Taking taylor expansion of 0 in phi2 2.748 * [taylor]: Taking taylor expansion of 0 in lambda1 2.748 * [taylor]: Taking taylor expansion of 0 in lambda2 2.748 * [taylor]: Taking taylor expansion of 0 in R 2.748 * [taylor]: Taking taylor expansion of 0 in lambda1 2.748 * [taylor]: Taking taylor expansion of 0 in lambda2 2.748 * [taylor]: Taking taylor expansion of 0 in R 2.749 * [taylor]: Taking taylor expansion of 0 in lambda1 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in R 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in R 2.749 * [taylor]: Taking taylor expansion of 0 in lambda2 2.749 * [taylor]: Taking taylor expansion of 0 in R 2.750 * [taylor]: Taking taylor expansion of 0 in lambda2 2.750 * [taylor]: Taking taylor expansion of 0 in R 2.750 * [taylor]: Taking taylor expansion of 0 in R 2.750 * [taylor]: Taking taylor expansion of 0 in R 2.750 * [taylor]: Taking taylor expansion of 0 in R 2.751 * [taylor]: Taking taylor expansion of 0 in R 2.754 * [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 2.754 * [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 2.754 * [taylor]: Taking taylor expansion of -1 in R 2.754 * [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 2.754 * [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 2.754 * [taylor]: Taking taylor expansion of R in R 2.755 * [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 2.755 * [taylor]: Taking taylor expansion of -1 in lambda2 2.755 * [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 2.755 * [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 2.755 * [taylor]: Taking taylor expansion of R in lambda2 2.756 * [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 2.756 * [taylor]: Taking taylor expansion of -1 in lambda1 2.756 * [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 2.756 * [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 2.756 * [taylor]: Taking taylor expansion of R in lambda1 2.757 * [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 2.757 * [taylor]: Taking taylor expansion of -1 in phi2 2.757 * [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 2.757 * [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 2.757 * [taylor]: Taking taylor expansion of R in phi2 2.758 * [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 2.758 * [taylor]: Taking taylor expansion of -1 in phi1 2.758 * [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 2.758 * [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 2.758 * [taylor]: Taking taylor expansion of R in phi1 2.759 * [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 2.759 * [taylor]: Taking taylor expansion of -1 in phi1 2.759 * [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 2.759 * [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 2.759 * [taylor]: Taking taylor expansion of R in phi1 2.760 * [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 2.760 * [taylor]: Taking taylor expansion of -1 in phi2 2.760 * [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 2.760 * [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 2.761 * [taylor]: Taking taylor expansion of R in phi2 2.762 * [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 2.762 * [taylor]: Taking taylor expansion of -1 in lambda1 2.762 * [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 2.762 * [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 2.763 * [taylor]: Taking taylor expansion of R in lambda1 2.764 * [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 2.764 * [taylor]: Taking taylor expansion of -1 in lambda2 2.764 * [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 2.764 * [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 2.764 * [taylor]: Taking taylor expansion of R in lambda2 2.765 * [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 2.765 * [taylor]: Taking taylor expansion of -1 in R 2.766 * [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 2.766 * [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 2.766 * [taylor]: Taking taylor expansion of R in R 2.769 * [taylor]: Taking taylor expansion of 0 in phi2 2.769 * [taylor]: Taking taylor expansion of 0 in lambda1 2.769 * [taylor]: Taking taylor expansion of 0 in lambda2 2.769 * [taylor]: Taking taylor expansion of 0 in R 2.771 * [taylor]: Taking taylor expansion of 0 in lambda1 2.771 * [taylor]: Taking taylor expansion of 0 in lambda2 2.771 * [taylor]: Taking taylor expansion of 0 in R 2.772 * [taylor]: Taking taylor expansion of 0 in lambda2 2.772 * [taylor]: Taking taylor expansion of 0 in R 2.774 * [taylor]: Taking taylor expansion of 0 in R 2.777 * [taylor]: Taking taylor expansion of 0 in phi2 2.777 * [taylor]: Taking taylor expansion of 0 in lambda1 2.777 * [taylor]: Taking taylor expansion of 0 in lambda2 2.777 * [taylor]: Taking taylor expansion of 0 in R 2.777 * [taylor]: Taking taylor expansion of 0 in lambda1 2.777 * [taylor]: Taking taylor expansion of 0 in lambda2 2.777 * [taylor]: Taking taylor expansion of 0 in R 2.779 * [taylor]: Taking taylor expansion of 0 in lambda1 2.779 * [taylor]: Taking taylor expansion of 0 in lambda2 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.779 * [taylor]: Taking taylor expansion of 0 in lambda2 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.779 * [taylor]: Taking taylor expansion of 0 in lambda2 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.783 * [taylor]: Taking taylor expansion of 0 in lambda2 2.783 * [taylor]: Taking taylor expansion of 0 in R 2.783 * [taylor]: Taking taylor expansion of 0 in R 2.783 * [taylor]: Taking taylor expansion of 0 in R 2.783 * [taylor]: Taking taylor expansion of 0 in R 2.785 * [taylor]: Taking taylor expansion of 0 in R 2.788 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 2.788 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 2.788 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 2.788 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.788 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.788 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.788 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.788 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.789 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.789 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.789 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.789 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.789 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.789 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.789 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 2.789 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.789 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.789 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 2.789 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 2.789 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.789 * [taylor]: Taking taylor expansion of 0 in lambda2 2.792 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.792 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.792 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.795 * [taylor]: Taking taylor expansion of 0 in lambda2 2.801 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 2.801 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 2.801 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.801 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 2.801 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 2.801 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.809 * [taylor]: Taking taylor expansion of 0 in lambda2 2.809 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 2.809 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.809 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.809 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.809 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.809 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.809 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.809 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.809 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.809 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.809 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.810 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.810 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.810 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.810 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.810 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.810 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.810 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 2.810 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.810 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.810 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.810 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 2.810 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 2.810 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.810 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.811 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 2.811 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.811 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.811 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.811 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 2.811 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 2.811 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.811 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.814 * [taylor]: Taking taylor expansion of 0 in lambda2 2.819 * [taylor]: Taking taylor expansion of 0 in lambda2 2.829 * [taylor]: Taking taylor expansion of 0 in lambda2 2.830 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.830 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.830 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.830 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.830 * [taylor]: Taking taylor expansion of -1 in lambda2 2.830 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.830 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.830 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.830 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.831 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.831 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.831 * [taylor]: Taking taylor expansion of -1 in lambda1 2.831 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.831 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.831 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.831 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.831 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.831 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.831 * [taylor]: Taking taylor expansion of -1 in lambda1 2.831 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.832 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.832 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.832 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.833 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.833 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.833 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.833 * [taylor]: Taking taylor expansion of -1 in lambda2 2.833 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.833 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.833 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.833 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.836 * [taylor]: Taking taylor expansion of 0 in lambda2 2.842 * [taylor]: Taking taylor expansion of 0 in lambda2 2.851 * [taylor]: Taking taylor expansion of 0 in lambda2 2.851 * * * [progress]: simplifying candidates 2.853 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin 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)) (* (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 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 2.861 * * [simplify]: iteration 0 : 143 enodes (cost 1487 ) 2.891 * * [simplify]: iteration 1 : 281 enodes (cost 1473 ) 2.939 * * [simplify]: iteration 2 : 726 enodes (cost 1270 ) 3.343 * * [simplify]: iteration 3 : 1632 enodes (cost 1200 ) 4.229 * * [simplify]: iteration 4 : 2886 enodes (cost 1200 ) 5.701 * * [simplify]: iteration done : 5001 enodes (cost 1200 ) 5.702 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (pow (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R) (log (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R)) (log (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R)) (pow (exp R) (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (pow (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R) 3) (* (cbrt (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R))) (cbrt (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R)) (pow (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R) 3) (sqrt (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R)) (* (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (* (sqrt R) (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2))))) R) (* R (sqrt (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R) (- (cos (+ lambda2 lambda1)) (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 lambda2) (sin lambda1)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2)) (* (sin phi1) (sin phi2)))) R) (- (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) 5.702 * * * [progress]: adding candidates to table 6.067 * * [progress]: iteration 3 / 4 6.067 * * * [progress]: picking best candidate 6.148 * * * * [pick]: Picked # 6.148 * * * [progress]: localizing error 6.185 * * * [progress]: generating rewritten candidates 6.185 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 6.187 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 6.187 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 6.191 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.197 * * * [progress]: generating series expansions 6.197 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 6.197 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 6.197 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 6.197 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 6.197 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.197 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 6.197 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 6.197 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.198 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 6.198 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.198 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.198 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 6.198 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 6.198 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.198 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 6.198 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.198 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.198 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 6.198 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 6.198 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.198 * [taylor]: Taking taylor expansion of 0 in lambda2 6.201 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 6.201 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 6.201 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.204 * [taylor]: Taking taylor expansion of 0 in lambda2 6.210 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 6.210 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 6.210 * [taylor]: Taking taylor expansion of 1/6 in lambda2 6.210 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 6.210 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 6.210 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.219 * [taylor]: Taking taylor expansion of 0 in lambda2 6.219 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 6.219 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 6.219 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.219 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.219 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.219 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 6.219 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 6.219 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.219 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.220 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 6.220 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.220 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.220 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.220 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 6.220 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 6.220 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.220 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.220 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 6.220 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.220 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.220 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.221 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 6.221 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 6.221 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.221 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.221 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 6.221 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.221 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.221 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.221 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 6.221 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 6.221 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.221 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.224 * [taylor]: Taking taylor expansion of 0 in lambda2 6.228 * [taylor]: Taking taylor expansion of 0 in lambda2 6.235 * [taylor]: Taking taylor expansion of 0 in lambda2 6.235 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 6.235 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 6.235 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.235 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.235 * [taylor]: Taking taylor expansion of -1 in lambda2 6.235 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.235 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.235 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.235 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.236 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 6.236 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.236 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.236 * [taylor]: Taking taylor expansion of -1 in lambda1 6.236 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.236 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.236 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.236 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.236 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 6.236 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.236 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.236 * [taylor]: Taking taylor expansion of -1 in lambda1 6.236 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.237 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.237 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.237 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.237 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 6.237 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.237 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.237 * [taylor]: Taking taylor expansion of -1 in lambda2 6.237 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.237 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.237 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.237 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.239 * [taylor]: Taking taylor expansion of 0 in lambda2 6.247 * [taylor]: Taking taylor expansion of 0 in lambda2 6.253 * [taylor]: Taking taylor expansion of 0 in lambda2 6.253 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 6.253 * [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 6.253 * [taylor]: Taking taylor 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 6.254 * [taylor]: Taking taylor 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 6.254 * [taylor]: Taking taylor 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 6.255 * [taylor]: Taking taylor 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 6.255 * [taylor]: Taking taylor 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 6.255 * [taylor]: Taking taylor 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 6.256 * [taylor]: Taking taylor 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 6.256 * [taylor]: Taking taylor 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 6.257 * [taylor]: Taking taylor expansion of 0 in phi2 6.257 * [taylor]: Taking taylor expansion of 0 in lambda1 6.257 * [taylor]: Taking taylor expansion of 0 in lambda2 6.257 * [taylor]: Taking taylor expansion of 0 in lambda1 6.257 * [taylor]: Taking taylor expansion of 0 in lambda2 6.257 * [taylor]: Taking taylor expansion of 0 in lambda2 6.257 * [taylor]: Taking taylor expansion of 0 in phi2 6.257 * [taylor]: Taking taylor expansion of 0 in lambda1 6.257 * [taylor]: Taking taylor expansion of 0 in lambda2 6.257 * [taylor]: Taking taylor expansion of 0 in lambda1 6.257 * [taylor]: Taking taylor expansion of 0 in lambda2 6.258 * [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 6.258 * [taylor]: Taking taylor 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 6.258 * [taylor]: Taking taylor 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 6.259 * [taylor]: Taking taylor 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 6.259 * [taylor]: Taking taylor 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 6.260 * [taylor]: Taking taylor 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 6.260 * [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 6.261 * [taylor]: Taking taylor 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 6.261 * [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 6.263 * [taylor]: Taking taylor expansion of 0 in phi2 6.263 * [taylor]: Taking taylor expansion of 0 in lambda1 6.263 * [taylor]: Taking taylor expansion of 0 in lambda2 6.263 * [taylor]: Taking taylor expansion of 0 in lambda1 6.263 * [taylor]: Taking taylor expansion of 0 in lambda2 6.263 * [taylor]: Taking taylor expansion of 0 in lambda2 6.263 * [taylor]: Taking taylor expansion of 0 in phi2 6.263 * [taylor]: Taking taylor expansion of 0 in lambda1 6.263 * [taylor]: Taking taylor expansion of 0 in lambda2 6.263 * [taylor]: Taking taylor expansion of 0 in lambda1 6.263 * [taylor]: Taking taylor expansion of 0 in lambda2 6.264 * [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 6.264 * [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 6.265 * [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 6.265 * [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 6.266 * [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 6.266 * [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 6.267 * [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 6.267 * [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 6.268 * [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 6.269 * [taylor]: Taking taylor expansion of 0 in phi2 6.269 * [taylor]: Taking taylor expansion of 0 in lambda1 6.269 * [taylor]: Taking taylor expansion of 0 in lambda2 6.269 * [taylor]: Taking taylor expansion of 0 in lambda1 6.269 * [taylor]: Taking taylor expansion of 0 in lambda2 6.269 * [taylor]: Taking taylor expansion of 0 in lambda2 6.269 * [taylor]: Taking taylor expansion of 0 in phi2 6.269 * [taylor]: Taking taylor expansion of 0 in lambda1 6.269 * [taylor]: Taking taylor expansion of 0 in lambda2 6.269 * [taylor]: Taking taylor expansion of 0 in lambda1 6.269 * [taylor]: Taking taylor expansion of 0 in lambda2 6.270 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 6.270 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in (lambda1 lambda2) around 0 6.270 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in lambda2 6.270 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 6.270 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 6.270 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.270 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 6.270 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 6.270 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.273 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in lambda1 6.273 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 6.273 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.273 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.273 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 6.274 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 6.274 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.276 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in lambda1 6.276 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 6.276 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 6.276 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.276 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 6.276 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 6.276 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.279 * [taylor]: Taking taylor expansion of (pow (sin (- lambda2)) 3) in lambda2 6.279 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 6.279 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 6.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.284 * [taylor]: Taking taylor expansion of 0 in lambda2 6.291 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin (- lambda2)) 3))) in lambda2 6.291 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin (- lambda2)) 3)) in lambda2 6.291 * [taylor]: Taking taylor expansion of 1/2 in lambda2 6.291 * [taylor]: Taking taylor expansion of (pow (sin (- lambda2)) 3) in lambda2 6.291 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 6.291 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 6.291 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.297 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in (lambda1 lambda2) around 0 6.297 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in lambda2 6.297 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 6.297 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.297 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.297 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.297 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 6.297 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 6.297 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.297 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.298 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in lambda1 6.298 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 6.298 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.298 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.298 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.298 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 6.298 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 6.298 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.298 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.299 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in lambda1 6.299 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 6.299 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 6.299 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 6.299 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.299 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 6.299 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 6.299 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.299 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.300 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (- (/ 1 lambda2))) 3)) in lambda2 6.300 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 6.300 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 6.300 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 6.300 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.300 * [taylor]: Taking taylor expansion of (pow (sin (- (/ 1 lambda2))) 3) in lambda2 6.300 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 6.300 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 6.300 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.300 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.304 * [taylor]: Taking taylor expansion of 0 in lambda2 6.310 * [taylor]: Taking taylor expansion of 0 in lambda2 6.319 * [taylor]: Taking taylor expansion of 0 in lambda2 6.320 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 6.320 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 6.320 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 6.320 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.320 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.320 * [taylor]: Taking taylor expansion of -1 in lambda2 6.320 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.320 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.320 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.320 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.320 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 6.320 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 6.320 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.320 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.320 * [taylor]: Taking taylor expansion of -1 in lambda1 6.320 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.321 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.321 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.321 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.321 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 6.321 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 6.321 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 6.321 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 6.321 * [taylor]: Taking taylor expansion of -1 in lambda1 6.321 * [taylor]: Taking taylor expansion of lambda1 in lambda1 6.321 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 6.321 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 6.322 * [taylor]: Taking taylor expansion of lambda2 in lambda1 6.322 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 6.322 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 6.322 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 6.322 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 6.322 * [taylor]: Taking taylor expansion of -1 in lambda2 6.322 * [taylor]: Taking taylor expansion of lambda1 in lambda2 6.322 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 6.322 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 6.322 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 6.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2 6.325 * [taylor]: Taking taylor expansion of 0 in lambda2 6.335 * [taylor]: Taking taylor expansion of 0 in lambda2 6.343 * [taylor]: Taking taylor expansion of 0 in lambda2 6.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 6.344 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 6.344 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 6.344 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 6.344 * [taylor]: Taking taylor expansion of phi1 in phi2 6.344 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.344 * [taylor]: Taking taylor expansion of phi2 in phi2 6.344 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 6.344 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 6.344 * [taylor]: Taking taylor expansion of phi1 in phi1 6.344 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 6.344 * [taylor]: Taking taylor expansion of phi2 in phi1 6.344 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 6.344 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 6.344 * [taylor]: Taking taylor expansion of phi1 in phi1 6.344 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 6.344 * [taylor]: Taking taylor expansion of phi2 in phi1 6.344 * [taylor]: Taking taylor expansion of 0 in phi2 6.346 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.346 * [taylor]: Taking taylor expansion of phi2 in phi2 6.349 * [taylor]: Taking taylor expansion of 0 in phi2 6.354 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 6.354 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 6.354 * [taylor]: Taking taylor expansion of 1/6 in phi2 6.354 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.354 * [taylor]: Taking taylor expansion of phi2 in phi2 6.360 * [taylor]: Taking taylor expansion of 0 in phi2 6.360 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 6.360 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 6.360 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 6.360 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 6.360 * [taylor]: Taking taylor expansion of phi1 in phi2 6.360 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 6.360 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 6.360 * [taylor]: Taking taylor expansion of phi2 in phi2 6.361 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 6.361 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 6.361 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 6.361 * [taylor]: Taking taylor expansion of phi1 in phi1 6.361 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 6.361 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 6.361 * [taylor]: Taking taylor expansion of phi2 in phi1 6.361 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 6.361 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 6.361 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 6.361 * [taylor]: Taking taylor expansion of phi1 in phi1 6.362 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 6.362 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 6.362 * [taylor]: Taking taylor expansion of phi2 in phi1 6.362 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 6.362 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 6.362 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 6.362 * [taylor]: Taking taylor expansion of phi1 in phi2 6.362 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 6.362 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 6.362 * [taylor]: Taking taylor expansion of phi2 in phi2 6.364 * [taylor]: Taking taylor expansion of 0 in phi2 6.368 * [taylor]: Taking taylor expansion of 0 in phi2 6.373 * [taylor]: Taking taylor expansion of 0 in phi2 6.374 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 6.374 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 6.374 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 6.374 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 6.374 * [taylor]: Taking taylor expansion of -1 in phi2 6.374 * [taylor]: Taking taylor expansion of phi1 in phi2 6.374 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 6.374 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 6.374 * [taylor]: Taking taylor expansion of -1 in phi2 6.374 * [taylor]: Taking taylor expansion of phi2 in phi2 6.374 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 6.374 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 6.374 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 6.374 * [taylor]: Taking taylor expansion of -1 in phi1 6.374 * [taylor]: Taking taylor expansion of phi1 in phi1 6.375 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 6.375 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 6.375 * [taylor]: Taking taylor expansion of -1 in phi1 6.375 * [taylor]: Taking taylor expansion of phi2 in phi1 6.375 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 6.375 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 6.375 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 6.375 * [taylor]: Taking taylor expansion of -1 in phi1 6.375 * [taylor]: Taking taylor expansion of phi1 in phi1 6.375 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 6.375 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 6.375 * [taylor]: Taking taylor expansion of -1 in phi1 6.375 * [taylor]: Taking taylor expansion of phi2 in phi1 6.376 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 6.376 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 6.376 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 6.376 * [taylor]: Taking taylor expansion of -1 in phi2 6.376 * [taylor]: Taking taylor expansion of phi1 in phi2 6.376 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 6.376 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 6.376 * [taylor]: Taking taylor expansion of -1 in phi2 6.376 * [taylor]: Taking taylor expansion of phi2 in phi2 6.378 * [taylor]: Taking taylor expansion of 0 in phi2 6.382 * [taylor]: Taking taylor expansion of 0 in phi2 6.387 * [taylor]: Taking taylor expansion of 0 in phi2 6.387 * * * [progress]: simplifying candidates 6.388 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (exp (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (- lambda2)) 3)) (cbrt (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (- lambda2)) 3)) (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (* (+ (log (sin lambda1)) (log (sin (- lambda2)))) 3) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin (- lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (- lambda2))) (sqrt 3)) (pow (* (sin lambda1) (sin (- lambda2))) 1) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (log (pow (* (sin lambda1) (sin (- lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (- lambda2))) 3)) (* (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (* (* (pow (* (sin lambda1) (sin (- lambda2))) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (pow (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) 3) (pow 2 3) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2)) (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2)) (- (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))) (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))))))) (- (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5)))) (* (pow lambda2 3) (pow lambda1 3))) (* (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3)) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 6.393 * * [simplify]: iteration 0 : 154 enodes (cost 1148 ) 6.425 * * [simplify]: iteration 1 : 333 enodes (cost 992 ) 6.497 * * [simplify]: iteration 2 : 932 enodes (cost 883 ) 6.988 * * [simplify]: iteration 3 : 3797 enodes (cost 851 ) 8.410 * * [simplify]: iteration done : 5000 enodes (cost 851 ) 8.410 * [simplify]: Simplified to: (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (sin lambda1) (sin (- lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 2)) (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 2)) (cbrt (* (sin lambda1) (sin (- lambda2)))) (sin lambda1) (sin (- lambda2)) (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 2)) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) 1 (* (sin lambda1) (sin (- lambda2))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3/2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3/2)) (- (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) 2 (* (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 phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* 3 (log (* (sin lambda1) (sin (- lambda2))))) (* 3 (log (* (sin lambda1) (sin (- lambda2))))) (* 3 (log (* (sin lambda1) (sin (- lambda2))))) 3 3 (pow (* (sin lambda1) (sin (- lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (- lambda2))) (sqrt 3)) (* (sin lambda1) (sin (- lambda2))) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 2) (* 3 (log (* (sin lambda1) (sin (- lambda2))))) (exp (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin lambda1) (sin (- lambda2))) 2) (* (sin lambda1) (sin (- lambda2))) (pow (pow (* (sin lambda1) (sin (- lambda2))) 3) 3) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (pow (- (cos (+ lambda2 lambda1)) (cos (- lambda1 lambda2))) 3) 8 (pow (* (sin lambda1) (sin (- lambda2))) 2) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin lambda1) (sin (- lambda2))) 3/2) (pow (* (sin lambda1) (sin (- lambda2))) 3/2) (- (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)) (- (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi2) (* (cos phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (* 1/2 (* (pow lambda2 3) (pow lambda1 5))) (* (pow lambda1 3) (- (* 1/2 (pow lambda2 5)) (pow lambda2 3)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 8.411 * * * [progress]: adding candidates to table 8.810 * * [progress]: iteration 4 / 4 8.810 * * * [progress]: picking best candidate 8.883 * * * * [pick]: Picked # 8.883 * * * [progress]: localizing error 8.925 * * * [progress]: generating rewritten candidates 8.925 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 8.927 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 8.929 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.930 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1) 8.935 * * * [progress]: generating series expansions 8.935 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 8.935 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 8.935 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 8.936 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 8.936 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.936 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 8.936 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 8.936 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.936 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 8.936 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 8.936 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.936 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 8.936 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 8.936 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.937 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 8.937 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 8.937 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.937 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 8.937 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 8.937 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.937 * [taylor]: Taking taylor expansion of 0 in lambda2 8.939 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 8.939 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 8.939 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.943 * [taylor]: Taking taylor expansion of 0 in lambda2 8.949 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 8.949 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 8.949 * [taylor]: Taking taylor expansion of 1/6 in lambda2 8.949 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 8.949 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 8.949 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.957 * [taylor]: Taking taylor expansion of 0 in lambda2 8.957 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 8.957 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 8.958 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 8.958 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 8.958 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.958 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 8.958 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 8.958 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 8.958 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.958 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 8.958 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 8.958 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 8.958 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.959 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 8.959 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 8.959 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 8.959 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.959 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 8.959 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 8.959 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 8.959 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.959 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 8.959 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 8.959 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 8.959 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.960 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 8.960 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 8.960 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 8.960 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.960 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 8.960 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 8.960 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 8.960 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.963 * [taylor]: Taking taylor expansion of 0 in lambda2 8.967 * [taylor]: Taking taylor expansion of 0 in lambda2 8.973 * [taylor]: Taking taylor expansion of 0 in lambda2 8.974 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 8.974 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 8.974 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 8.974 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 8.974 * [taylor]: Taking taylor expansion of -1 in lambda2 8.974 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.974 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 8.974 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 8.974 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.974 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 8.974 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 8.974 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 8.974 * [taylor]: Taking taylor expansion of -1 in lambda1 8.974 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.975 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 8.975 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 8.975 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.975 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 8.975 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 8.975 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 8.975 * [taylor]: Taking taylor expansion of -1 in lambda1 8.975 * [taylor]: Taking taylor expansion of lambda1 in lambda1 8.975 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 8.975 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 8.975 * [taylor]: Taking taylor expansion of lambda2 in lambda1 8.975 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 8.975 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 8.975 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 8.975 * [taylor]: Taking taylor expansion of -1 in lambda2 8.976 * [taylor]: Taking taylor expansion of lambda1 in lambda2 8.976 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 8.976 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 8.976 * [taylor]: Taking taylor expansion of lambda2 in lambda2 8.978 * [taylor]: Taking taylor expansion of 0 in lambda2 8.982 * [taylor]: Taking taylor expansion of 0 in lambda2 8.987 * [taylor]: Taking taylor expansion of 0 in lambda2 8.987 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 8.988 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 8.988 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 8.988 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 8.988 * [taylor]: Taking taylor expansion of phi1 in phi2 8.988 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.988 * [taylor]: Taking taylor expansion of phi2 in phi2 8.988 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 8.988 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 8.988 * [taylor]: Taking taylor expansion of phi1 in phi1 8.988 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 8.988 * [taylor]: Taking taylor expansion of phi2 in phi1 8.988 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 8.988 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 8.988 * [taylor]: Taking taylor expansion of phi1 in phi1 8.988 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 8.988 * [taylor]: Taking taylor expansion of phi2 in phi1 8.988 * [taylor]: Taking taylor expansion of 0 in phi2 8.995 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 8.995 * [taylor]: Taking taylor expansion of phi2 in phi2 8.998 * [taylor]: Taking taylor expansion of 0 in phi2 9.003 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 9.003 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 9.003 * [taylor]: Taking taylor expansion of 1/6 in phi2 9.003 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 9.003 * [taylor]: Taking taylor expansion of phi2 in phi2 9.009 * [taylor]: Taking taylor expansion of 0 in phi2 9.009 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 9.009 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 9.009 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 9.009 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.009 * [taylor]: Taking taylor expansion of phi1 in phi2 9.009 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 9.009 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.009 * [taylor]: Taking taylor expansion of phi2 in phi2 9.010 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 9.010 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 9.010 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.010 * [taylor]: Taking taylor expansion of phi1 in phi1 9.010 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 9.010 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.010 * [taylor]: Taking taylor expansion of phi2 in phi1 9.010 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 9.010 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 9.010 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 9.010 * [taylor]: Taking taylor expansion of phi1 in phi1 9.010 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 9.010 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 9.010 * [taylor]: Taking taylor expansion of phi2 in phi1 9.011 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 9.011 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 9.011 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 9.011 * [taylor]: Taking taylor expansion of phi1 in phi2 9.011 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 9.011 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 9.011 * [taylor]: Taking taylor expansion of phi2 in phi2 9.013 * [taylor]: Taking taylor expansion of 0 in phi2 9.017 * [taylor]: Taking taylor expansion of 0 in phi2 9.022 * [taylor]: Taking taylor expansion of 0 in phi2 9.023 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 9.023 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 9.023 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 9.023 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.023 * [taylor]: Taking taylor expansion of -1 in phi2 9.023 * [taylor]: Taking taylor expansion of phi1 in phi2 9.023 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 9.023 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.023 * [taylor]: Taking taylor expansion of -1 in phi2 9.023 * [taylor]: Taking taylor expansion of phi2 in phi2 9.023 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 9.023 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 9.023 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.023 * [taylor]: Taking taylor expansion of -1 in phi1 9.023 * [taylor]: Taking taylor expansion of phi1 in phi1 9.024 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 9.024 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.024 * [taylor]: Taking taylor expansion of -1 in phi1 9.024 * [taylor]: Taking taylor expansion of phi2 in phi1 9.024 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 9.024 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 9.024 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 9.024 * [taylor]: Taking taylor expansion of -1 in phi1 9.024 * [taylor]: Taking taylor expansion of phi1 in phi1 9.024 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 9.024 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 9.024 * [taylor]: Taking taylor expansion of -1 in phi1 9.024 * [taylor]: Taking taylor expansion of phi2 in phi1 9.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 9.025 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 9.025 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 9.025 * [taylor]: Taking taylor expansion of -1 in phi2 9.025 * [taylor]: Taking taylor expansion of phi1 in phi2 9.025 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 9.025 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 9.025 * [taylor]: Taking taylor expansion of -1 in phi2 9.025 * [taylor]: Taking taylor expansion of phi2 in phi2 9.027 * [taylor]: Taking taylor expansion of 0 in phi2 9.031 * [taylor]: Taking taylor expansion of 0 in phi2 9.036 * [taylor]: Taking taylor expansion of 0 in phi2 9.037 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.037 * [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 9.037 * [taylor]: Taking taylor 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 9.038 * [taylor]: Taking taylor 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 9.038 * [taylor]: Taking taylor 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 9.038 * [taylor]: Taking taylor 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 9.039 * [taylor]: Taking taylor 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 9.039 * [taylor]: Taking taylor 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 9.039 * [taylor]: Taking taylor 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 9.040 * [taylor]: Taking taylor 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 9.041 * [taylor]: Taking taylor expansion of 0 in phi2 9.041 * [taylor]: Taking taylor expansion of 0 in lambda1 9.041 * [taylor]: Taking taylor expansion of 0 in lambda2 9.041 * [taylor]: Taking taylor expansion of 0 in lambda1 9.041 * [taylor]: Taking taylor expansion of 0 in lambda2 9.041 * [taylor]: Taking taylor expansion of 0 in lambda2 9.041 * [taylor]: Taking taylor expansion of 0 in phi2 9.041 * [taylor]: Taking taylor expansion of 0 in lambda1 9.041 * [taylor]: Taking taylor expansion of 0 in lambda2 9.041 * [taylor]: Taking taylor expansion of 0 in lambda1 9.041 * [taylor]: Taking taylor expansion of 0 in lambda2 9.042 * [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 9.042 * [taylor]: Taking taylor 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 9.042 * [taylor]: Taking taylor 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 9.043 * [taylor]: Taking taylor 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 9.043 * [taylor]: Taking taylor 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 9.044 * [taylor]: Taking taylor 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 9.044 * [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 9.045 * [taylor]: Taking taylor 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 9.045 * [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 9.046 * [taylor]: Taking taylor expansion of 0 in phi2 9.046 * [taylor]: Taking taylor expansion of 0 in lambda1 9.046 * [taylor]: Taking taylor expansion of 0 in lambda2 9.046 * [taylor]: Taking taylor expansion of 0 in lambda1 9.046 * [taylor]: Taking taylor expansion of 0 in lambda2 9.047 * [taylor]: Taking taylor expansion of 0 in lambda2 9.047 * [taylor]: Taking taylor expansion of 0 in phi2 9.047 * [taylor]: Taking taylor expansion of 0 in lambda1 9.047 * [taylor]: Taking taylor expansion of 0 in lambda2 9.047 * [taylor]: Taking taylor expansion of 0 in lambda1 9.047 * [taylor]: Taking taylor expansion of 0 in lambda2 9.048 * [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 9.048 * [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 9.048 * [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 9.049 * [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 9.049 * [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 9.050 * [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 9.050 * [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 9.051 * [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 9.051 * [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 9.052 * [taylor]: Taking taylor expansion of 0 in phi2 9.052 * [taylor]: Taking taylor expansion of 0 in lambda1 9.052 * [taylor]: Taking taylor expansion of 0 in lambda2 9.052 * [taylor]: Taking taylor expansion of 0 in lambda1 9.052 * [taylor]: Taking taylor expansion of 0 in lambda2 9.053 * [taylor]: Taking taylor expansion of 0 in lambda2 9.053 * [taylor]: Taking taylor expansion of 0 in phi2 9.053 * [taylor]: Taking taylor expansion of 0 in lambda1 9.053 * [taylor]: Taking taylor expansion of 0 in lambda2 9.053 * [taylor]: Taking taylor expansion of 0 in lambda1 9.053 * [taylor]: Taking taylor expansion of 0 in lambda2 9.053 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1) 9.054 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in (lambda1 lambda2) around 0 9.054 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in lambda2 9.054 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 9.054 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 9.054 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.054 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 9.054 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 9.054 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.057 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in lambda1 9.057 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 9.057 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.057 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 9.057 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 9.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.060 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (- lambda2))) 3) in lambda1 9.060 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 9.060 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.060 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.060 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 9.060 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 9.060 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.062 * [taylor]: Taking taylor expansion of (pow (sin (- lambda2)) 3) in lambda2 9.062 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 9.062 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 9.062 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.068 * [taylor]: Taking taylor expansion of 0 in lambda2 9.076 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin (- lambda2)) 3))) in lambda2 9.076 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin (- lambda2)) 3)) in lambda2 9.076 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.076 * [taylor]: Taking taylor expansion of (pow (sin (- lambda2)) 3) in lambda2 9.076 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 9.076 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 9.076 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.085 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in (lambda1 lambda2) around 0 9.085 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in lambda2 9.085 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 9.085 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.085 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.085 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.085 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 9.085 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 9.085 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.085 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.086 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in lambda1 9.086 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 9.086 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.086 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.086 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.087 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 9.087 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 9.087 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.087 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.087 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) 3) in lambda1 9.087 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 9.087 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.087 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.087 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.087 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 9.087 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 9.087 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.087 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.088 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (- (/ 1 lambda2))) 3)) in lambda2 9.088 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 9.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.088 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.088 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.089 * [taylor]: Taking taylor expansion of (pow (sin (- (/ 1 lambda2))) 3) in lambda2 9.089 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 9.089 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 9.089 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.089 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.092 * [taylor]: Taking taylor expansion of 0 in lambda2 9.098 * [taylor]: Taking taylor expansion of 0 in lambda2 9.108 * [taylor]: Taking taylor expansion of 0 in lambda2 9.108 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 9.108 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 9.108 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 9.108 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.108 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.108 * [taylor]: Taking taylor expansion of -1 in lambda2 9.108 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.108 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.108 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.108 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.109 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 9.109 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 9.109 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.109 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.109 * [taylor]: Taking taylor expansion of -1 in lambda1 9.109 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.109 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.109 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.109 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.109 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 9.109 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 9.109 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.109 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.109 * [taylor]: Taking taylor expansion of -1 in lambda1 9.109 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.110 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.110 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.110 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.110 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 9.110 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 9.110 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.110 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.110 * [taylor]: Taking taylor expansion of -1 in lambda2 9.111 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.111 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 9.111 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.111 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.111 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.114 * [taylor]: Taking taylor expansion of 0 in lambda2 9.119 * [taylor]: Taking taylor expansion of 0 in lambda2 9.128 * [taylor]: Taking taylor expansion of 0 in lambda2 9.128 * * * [progress]: simplifying candidates 9.129 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (exp (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (- lambda2)) 3)) (cbrt (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (- lambda2)) 3)) (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (log (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (exp (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (* (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))))))) (* (+ (log (sin lambda1)) (log (sin (- lambda2)))) 3) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin (- lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (- lambda2))) (sqrt 3)) (pow (* (sin lambda1) (sin (- lambda2))) 1) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (log (pow (* (sin lambda1) (sin (- lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (- lambda2))) 3)) (* (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (* (* (pow (* (sin lambda1) (sin (- lambda2))) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (pow (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) 3) (pow 2 3) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2)) (pow (* (sin lambda1) (sin (- lambda2))) (/ 3 2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (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))))))) (- (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5)))) (* (pow lambda2 3) (pow lambda1 3))) (* (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3)) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) 9.133 * * [simplify]: iteration 0 : 151 enodes (cost 1269 ) 9.165 * * [simplify]: iteration 1 : 329 enodes (cost 1008 ) 9.233 * * [simplify]: iteration 2 : 906 enodes (cost 919 ) 9.691 * * [simplify]: iteration 3 : 3810 enodes (cost 887 ) 11.164 * * [simplify]: iteration done : 5000 enodes (cost 887 ) 11.164 * [simplify]: Simplified to: (log (* (sin (- lambda2)) (sin lambda1))) (exp (* (sin (- lambda2)) (sin lambda1))) (sin lambda1) (sin (- lambda2)) (cbrt (pow (* (sin (- lambda2)) (sin lambda1)) 2)) (cbrt (* (- (sin lambda2)) (sin lambda1))) (cbrt (pow (* (sin (- lambda2)) (sin lambda1)) 2)) (cbrt (* (- (sin lambda2)) (sin lambda1))) (sin lambda1) (sin (- lambda2)) (cbrt (* (- (sin lambda2)) (sin lambda1))) (cbrt (pow (* (sin (- lambda2)) (sin lambda1)) 2)) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3))) 1 (* (sin (- lambda2)) (sin lambda1)) (cbrt (pow (* (sin (- lambda2)) (sin lambda1)) 3/2)) (cbrt (pow (* (sin (- lambda2)) (sin lambda1)) 3/2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2 (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (- (sin lambda2)) (sin lambda1))) (- (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (* (sin (- lambda2)) (sin lambda1))) (sqrt (* (sin (- lambda2)) (sin lambda1))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) 1 (* (sin phi1) (sin phi2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2 (* (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))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1)))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1)))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))))) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) 3 3 (pow (* (sin lambda1) (sin (- lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (- lambda2))) (sqrt 3)) (* (sin (- lambda2)) (sin lambda1)) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (pow (* (sin (- lambda2)) (sin lambda1)) 2) (* (log (* (sin lambda1) (sin (- lambda2)))) 3) (exp (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin (- lambda2)) (sin lambda1)) 2) (* (sin (- lambda2)) (sin lambda1)) (pow (pow (* (sin lambda1) (sin (- lambda2))) 3) 3) (pow (sin lambda1) 3) (pow (sin (- lambda2)) 3) (pow (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 3) 8 (pow (* (sin (- lambda2)) (sin lambda1)) 2) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (- lambda2))) 3)) (pow (* (sin (- lambda2)) (sin lambda1)) 3/2) (pow (* (sin (- lambda2)) (sin lambda1)) 3/2) (- (* lambda2 lambda1)) (* (sin (- lambda2)) (sin lambda1)) (* (sin (- lambda2)) (sin lambda1)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1)))) (+ (* (pow lambda2 3) (- (* 1/2 (pow lambda1 5)) (pow lambda1 3))) (* 1/2 (* (pow lambda2 5) (pow lambda1 3)))) (- (pow (* (sin lambda1) (sin lambda2)) 3)) (- (pow (* (sin lambda1) (sin lambda2)) 3)) 11.165 * * * [progress]: adding candidates to table 11.625 * [progress]: [Phase 3 of 3] Extracting. 11.625 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 11.641 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 11.641 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # #) 11.734 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # #) 11.825 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # #) 11.914 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # #) 12.005 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # #) 12.097 * * * [regime]: Found split indices: #