10.234 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.244 * * * [progress]: [2/2] Setting up program. 0.248 * [progress]: [Phase 2 of 3] Improving. 0.248 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.251 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.252 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.253 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.254 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.255 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.255 * * [progress]: iteration 1 / 4 0.255 * * * [progress]: picking best candidate 0.258 * * * * [pick]: Picked # 0.258 * * * [progress]: localizing error 0.283 * * * [progress]: generating rewritten candidates 0.283 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.288 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.288 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.293 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.297 * * * [progress]: generating series expansions 0.297 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.297 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.297 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.297 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.297 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.297 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.297 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.297 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.297 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.298 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.298 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.298 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.298 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.298 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.303 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.303 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.303 * [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 0.309 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.309 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.309 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.309 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.309 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.309 * [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 0.313 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.313 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.313 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.313 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.314 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.314 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.314 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.315 * [taylor]: Taking taylor expansion of 0 in lambda2 0.315 * [taylor]: Taking taylor expansion of 0 in lambda2 0.315 * [taylor]: Taking taylor expansion of 0 in lambda2 0.315 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.315 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.315 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.315 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.315 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.316 * [taylor]: Taking taylor expansion of lambda1 in lambda2 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 lambda1 0.317 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.318 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.318 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.318 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.318 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.318 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.319 * [taylor]: Taking taylor expansion of 0 in lambda2 0.319 * [taylor]: Taking taylor expansion of 0 in lambda2 0.319 * [taylor]: Taking taylor expansion of 0 in lambda2 0.319 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.319 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.319 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.320 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.321 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.321 * [taylor]: Taking taylor expansion of 0 in phi2 0.321 * [taylor]: Taking taylor expansion of 0 in lambda1 0.321 * [taylor]: Taking taylor expansion of 0 in lambda2 0.321 * [taylor]: Taking taylor expansion of 0 in lambda1 0.321 * [taylor]: Taking taylor expansion of 0 in lambda2 0.321 * [taylor]: Taking taylor expansion of 0 in lambda2 0.321 * [taylor]: Taking taylor expansion of 0 in phi2 0.321 * [taylor]: Taking taylor expansion of 0 in lambda1 0.321 * [taylor]: Taking taylor expansion of 0 in lambda2 0.321 * [taylor]: Taking taylor expansion of 0 in lambda1 0.321 * [taylor]: Taking taylor expansion of 0 in lambda2 0.322 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 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 0.322 * [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 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 phi1 0.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.323 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.324 * [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 0.324 * [taylor]: Taking taylor expansion of 0 in phi2 0.324 * [taylor]: Taking taylor expansion of 0 in lambda1 0.324 * [taylor]: Taking taylor expansion of 0 in lambda2 0.324 * [taylor]: Taking taylor expansion of 0 in lambda1 0.324 * [taylor]: Taking taylor expansion of 0 in lambda2 0.324 * [taylor]: Taking taylor expansion of 0 in lambda2 0.324 * [taylor]: Taking taylor expansion of 0 in phi2 0.324 * [taylor]: Taking taylor expansion of 0 in lambda1 0.324 * [taylor]: Taking taylor expansion of 0 in lambda2 0.324 * [taylor]: Taking taylor expansion of 0 in lambda1 0.325 * [taylor]: Taking taylor expansion of 0 in lambda2 0.325 * [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 0.325 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 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 phi2 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 phi1 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 phi1 0.327 * [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 0.327 * [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 0.327 * [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 0.328 * [taylor]: Taking taylor expansion of 0 in phi2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in phi2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * [taylor]: Taking taylor expansion of 0 in lambda1 0.328 * [taylor]: Taking taylor expansion of 0 in lambda2 0.328 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.328 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.328 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.328 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.328 * [taylor]: Taking taylor expansion of phi1 in phi2 0.328 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.328 * [taylor]: Taking taylor expansion of phi2 in phi2 0.329 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.329 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.329 * [taylor]: Taking taylor expansion of phi1 in phi1 0.329 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.329 * [taylor]: Taking taylor expansion of phi2 in phi1 0.329 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.329 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.329 * [taylor]: Taking taylor expansion of phi1 in phi1 0.329 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.329 * [taylor]: Taking taylor expansion of phi2 in phi1 0.329 * [taylor]: Taking taylor expansion of 0 in phi2 0.332 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.332 * [taylor]: Taking taylor expansion of phi2 in phi2 0.335 * [taylor]: Taking taylor expansion of 0 in phi2 0.339 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.339 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.339 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.339 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.339 * [taylor]: Taking taylor expansion of phi2 in phi2 0.345 * [taylor]: Taking taylor expansion of 0 in phi2 0.345 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.345 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.345 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.345 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.345 * [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 0.345 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.346 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.346 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.346 * [taylor]: Taking taylor expansion of phi1 in phi1 0.346 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.346 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.346 * [taylor]: Taking taylor expansion of phi2 in phi1 0.346 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.346 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.346 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.346 * [taylor]: Taking taylor expansion of phi1 in phi1 0.346 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.346 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.346 * [taylor]: Taking taylor expansion of phi2 in phi1 0.347 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.347 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.347 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.347 * [taylor]: Taking taylor expansion of phi1 in phi2 0.347 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.347 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.347 * [taylor]: Taking taylor expansion of phi2 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.353 * [taylor]: Taking taylor expansion of 0 in phi2 0.358 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.359 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.359 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.359 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.359 * [taylor]: Taking taylor expansion of -1 in phi2 0.359 * [taylor]: Taking taylor expansion of phi1 in phi2 0.359 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.359 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.359 * [taylor]: Taking taylor expansion of -1 in phi2 0.359 * [taylor]: Taking taylor expansion of phi2 in phi2 0.359 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.359 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.359 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.359 * [taylor]: Taking taylor expansion of -1 in phi1 0.359 * [taylor]: Taking taylor expansion of phi1 in phi1 0.360 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.360 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.360 * [taylor]: Taking taylor expansion of -1 in phi1 0.360 * [taylor]: Taking taylor expansion of phi2 in phi1 0.360 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.360 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.360 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.360 * [taylor]: Taking taylor expansion of -1 in phi1 0.360 * [taylor]: Taking taylor expansion of phi1 in phi1 0.360 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.360 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.360 * [taylor]: Taking taylor expansion of -1 in phi1 0.360 * [taylor]: Taking taylor expansion of phi2 in phi1 0.361 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.361 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.361 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.361 * [taylor]: Taking taylor expansion of -1 in phi2 0.361 * [taylor]: Taking taylor expansion of phi1 in phi2 0.361 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.361 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.361 * [taylor]: Taking taylor expansion of -1 in phi2 0.361 * [taylor]: Taking taylor expansion of phi2 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.373 * [taylor]: Taking taylor expansion of R in R 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.373 * [taylor]: Taking taylor expansion of R in lambda2 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.373 * [taylor]: Taking taylor expansion of R in lambda1 0.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.374 * [taylor]: Taking taylor expansion of R in phi2 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.374 * [taylor]: Taking taylor expansion of R in phi1 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.374 * [taylor]: Taking taylor expansion of R in phi1 0.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.374 * [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 lambda1 0.375 * [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 lambda2 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.375 * [taylor]: Taking taylor expansion of R in lambda2 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.376 * [taylor]: Taking taylor expansion of R in R 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [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 * [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 0.381 * [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 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of R in R 0.381 * [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 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of 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))))))) R) in lambda1 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 lambda1 0.382 * [taylor]: Taking taylor expansion of R in lambda1 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 phi2 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 phi2 0.383 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 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 phi1 0.383 * [taylor]: Taking taylor expansion of 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))))))) 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 0.384 * [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 0.385 * [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 lambda1 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 lambda1 0.385 * [taylor]: Taking taylor expansion of R in lambda1 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 lambda2 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 lambda2 0.386 * [taylor]: Taking taylor expansion of 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))))))) R) in R 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 R 0.386 * [taylor]: Taking taylor expansion of R in R 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda1 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [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 0.396 * [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 R 0.396 * [taylor]: Taking taylor expansion of -1 in R 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 R 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 R 0.397 * [taylor]: Taking taylor expansion of R in R 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 lambda2 0.397 * [taylor]: Taking taylor expansion of -1 in lambda2 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 lambda2 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 lambda2 0.397 * [taylor]: Taking taylor expansion of R in lambda2 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 lambda1 0.398 * [taylor]: Taking taylor expansion of -1 in lambda1 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 lambda1 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 lambda1 0.398 * [taylor]: Taking taylor expansion of R in lambda1 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 0.398 * [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 phi1 0.399 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.399 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 0.399 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.400 * [taylor]: Taking taylor expansion of R in phi1 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 phi2 0.400 * [taylor]: Taking taylor expansion of -1 in phi2 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 phi2 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 phi2 0.401 * [taylor]: Taking taylor expansion of R in phi2 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 lambda1 0.401 * [taylor]: Taking taylor expansion of -1 in lambda1 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 lambda1 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 lambda1 0.401 * [taylor]: Taking taylor expansion of R in lambda1 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of -1 in lambda2 0.402 * [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 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of R in lambda2 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of -1 in R 0.403 * [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 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of R in R 0.405 * [taylor]: Taking taylor expansion of 0 in phi2 0.405 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 0.406 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 0.411 * [taylor]: Taking taylor expansion of 0 in lambda2 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in lambda2 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.418 * * * [progress]: simplifying candidates 0.419 * [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) 0.423 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.426 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.435 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.460 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.462 * [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 phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* 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) 0.463 * * * [progress]: adding candidates to table 0.700 * * [progress]: iteration 2 / 4 0.700 * * * [progress]: picking best candidate 0.748 * * * * [pick]: Picked # 0.748 * * * [progress]: localizing error 0.780 * * * [progress]: generating rewritten candidates 0.780 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.780 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.785 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.788 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.794 * * * [progress]: generating series expansions 0.794 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.794 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.794 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.795 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.795 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.796 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.796 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.796 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.797 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.797 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.798 * [taylor]: Taking taylor expansion of 0 in phi2 0.798 * [taylor]: Taking taylor expansion of 0 in lambda1 0.798 * [taylor]: Taking taylor expansion of 0 in lambda2 0.798 * [taylor]: Taking taylor expansion of 0 in lambda1 0.798 * [taylor]: Taking taylor expansion of 0 in lambda2 0.798 * [taylor]: Taking taylor expansion of 0 in lambda2 0.798 * [taylor]: Taking taylor expansion of 0 in phi2 0.798 * [taylor]: Taking taylor expansion of 0 in lambda1 0.798 * [taylor]: Taking taylor expansion of 0 in lambda2 0.798 * [taylor]: Taking taylor expansion of 0 in lambda1 0.798 * [taylor]: Taking taylor expansion of 0 in lambda2 0.799 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.802 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.802 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.803 * [taylor]: Taking taylor expansion of 0 in phi2 0.803 * [taylor]: Taking taylor expansion of 0 in lambda1 0.803 * [taylor]: Taking taylor expansion of 0 in lambda2 0.804 * [taylor]: Taking taylor expansion of 0 in lambda1 0.804 * [taylor]: Taking taylor expansion of 0 in lambda2 0.804 * [taylor]: Taking taylor expansion of 0 in lambda2 0.804 * [taylor]: Taking taylor expansion of 0 in phi2 0.804 * [taylor]: Taking taylor expansion of 0 in lambda1 0.804 * [taylor]: Taking taylor expansion of 0 in lambda2 0.804 * [taylor]: Taking taylor expansion of 0 in lambda1 0.804 * [taylor]: Taking taylor expansion of 0 in lambda2 0.805 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.805 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.805 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.806 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.806 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.807 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.807 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.808 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.808 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.812 * [taylor]: Taking taylor expansion of 0 in phi2 0.812 * [taylor]: Taking taylor expansion of 0 in lambda1 0.812 * [taylor]: Taking taylor expansion of 0 in lambda2 0.812 * [taylor]: Taking taylor expansion of 0 in lambda1 0.812 * [taylor]: Taking taylor expansion of 0 in lambda2 0.812 * [taylor]: Taking taylor expansion of 0 in lambda2 0.812 * [taylor]: Taking taylor expansion of 0 in phi2 0.812 * [taylor]: Taking taylor expansion of 0 in lambda1 0.812 * [taylor]: Taking taylor expansion of 0 in lambda2 0.812 * [taylor]: Taking taylor expansion of 0 in lambda1 0.812 * [taylor]: Taking taylor expansion of 0 in lambda2 0.813 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.813 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.813 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.813 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.813 * [taylor]: Taking taylor expansion of phi1 in phi2 0.813 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.813 * [taylor]: Taking taylor expansion of phi2 in phi2 0.813 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.813 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.813 * [taylor]: Taking taylor expansion of phi1 in phi1 0.813 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.813 * [taylor]: Taking taylor expansion of phi2 in phi1 0.813 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.813 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.813 * [taylor]: Taking taylor expansion of phi1 in phi1 0.813 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.813 * [taylor]: Taking taylor expansion of phi2 in phi1 0.813 * [taylor]: Taking taylor expansion of 0 in phi2 0.816 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.816 * [taylor]: Taking taylor expansion of phi2 in phi2 0.819 * [taylor]: Taking taylor expansion of 0 in phi2 0.823 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.823 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.823 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.823 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.823 * [taylor]: Taking taylor expansion of phi2 in phi2 0.829 * [taylor]: Taking taylor expansion of 0 in phi2 0.829 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.829 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.829 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.829 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.829 * [taylor]: Taking taylor expansion of phi1 in phi2 0.830 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.830 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.830 * [taylor]: Taking taylor expansion of phi2 in phi2 0.830 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.830 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.830 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.830 * [taylor]: Taking taylor expansion of phi1 in phi1 0.830 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.830 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.830 * [taylor]: Taking taylor expansion of phi2 in phi1 0.830 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.830 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.830 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.830 * [taylor]: Taking taylor expansion of phi1 in phi1 0.831 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.831 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.831 * [taylor]: Taking taylor expansion of phi2 in phi1 0.831 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.831 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.831 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.831 * [taylor]: Taking taylor expansion of phi1 in phi2 0.831 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.831 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.831 * [taylor]: Taking taylor expansion of phi2 in phi2 0.833 * [taylor]: Taking taylor expansion of 0 in phi2 0.837 * [taylor]: Taking taylor expansion of 0 in phi2 0.843 * [taylor]: Taking taylor expansion of 0 in phi2 0.843 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.843 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.843 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.843 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.843 * [taylor]: Taking taylor expansion of -1 in phi2 0.843 * [taylor]: Taking taylor expansion of phi1 in phi2 0.843 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.843 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.843 * [taylor]: Taking taylor expansion of -1 in phi2 0.843 * [taylor]: Taking taylor expansion of phi2 in phi2 0.844 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.844 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.844 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.844 * [taylor]: Taking taylor expansion of -1 in phi1 0.844 * [taylor]: Taking taylor expansion of phi1 in phi1 0.844 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.844 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.844 * [taylor]: Taking taylor expansion of -1 in phi1 0.844 * [taylor]: Taking taylor expansion of phi2 in phi1 0.844 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.844 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.844 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.844 * [taylor]: Taking taylor expansion of -1 in phi1 0.844 * [taylor]: Taking taylor expansion of phi1 in phi1 0.845 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.845 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.845 * [taylor]: Taking taylor expansion of -1 in phi1 0.845 * [taylor]: Taking taylor expansion of phi2 in phi1 0.845 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.845 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.845 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.845 * [taylor]: Taking taylor expansion of -1 in phi2 0.845 * [taylor]: Taking taylor expansion of phi1 in phi2 0.845 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.845 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.845 * [taylor]: Taking taylor expansion of -1 in phi2 0.845 * [taylor]: Taking taylor expansion of phi2 in phi2 0.848 * [taylor]: Taking taylor expansion of 0 in phi2 0.852 * [taylor]: Taking taylor expansion of 0 in phi2 0.857 * [taylor]: Taking taylor expansion of 0 in phi2 0.857 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.858 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.858 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.858 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.858 * [taylor]: Taking taylor expansion of R in R 0.858 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.858 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.859 * [taylor]: Taking taylor expansion of R in lambda2 0.859 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.859 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.859 * [taylor]: Taking taylor expansion of R in lambda1 0.859 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.859 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.859 * [taylor]: Taking taylor expansion of R in phi2 0.859 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.859 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.860 * [taylor]: Taking taylor expansion of R in phi1 0.860 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.860 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.860 * [taylor]: Taking taylor expansion of R in phi1 0.861 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.861 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.861 * [taylor]: Taking taylor expansion of R in phi2 0.861 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.861 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.862 * [taylor]: Taking taylor expansion of R in lambda1 0.862 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.862 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.862 * [taylor]: Taking taylor expansion of R in lambda2 0.863 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.863 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.863 * [taylor]: Taking taylor expansion of R in R 0.864 * [taylor]: Taking taylor expansion of 0 in phi2 0.864 * [taylor]: Taking taylor expansion of 0 in lambda1 0.864 * [taylor]: Taking taylor expansion of 0 in lambda2 0.864 * [taylor]: Taking taylor expansion of 0 in R 0.864 * [taylor]: Taking taylor expansion of 0 in lambda1 0.864 * [taylor]: Taking taylor expansion of 0 in lambda2 0.864 * [taylor]: Taking taylor expansion of 0 in R 0.865 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [taylor]: Taking taylor expansion of 0 in R 0.865 * [taylor]: Taking taylor expansion of 0 in R 0.867 * [taylor]: Taking taylor expansion of 0 in phi2 0.867 * [taylor]: Taking taylor expansion of 0 in lambda1 0.867 * [taylor]: Taking taylor expansion of 0 in lambda2 0.867 * [taylor]: Taking taylor expansion of 0 in R 0.867 * [taylor]: Taking taylor expansion of 0 in lambda1 0.867 * [taylor]: Taking taylor expansion of 0 in lambda2 0.867 * [taylor]: Taking taylor expansion of 0 in R 0.868 * [taylor]: Taking taylor expansion of 0 in lambda1 0.868 * [taylor]: Taking taylor expansion of 0 in lambda2 0.868 * [taylor]: Taking taylor expansion of 0 in R 0.868 * [taylor]: Taking taylor expansion of 0 in lambda2 0.868 * [taylor]: Taking taylor expansion of 0 in R 0.868 * [taylor]: Taking taylor expansion of 0 in lambda2 0.868 * [taylor]: Taking taylor expansion of 0 in R 0.869 * [taylor]: Taking taylor expansion of 0 in lambda2 0.869 * [taylor]: Taking taylor expansion of 0 in R 0.870 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.870 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.870 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.871 * [taylor]: Taking taylor expansion of R in R 0.871 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.871 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.872 * [taylor]: Taking taylor expansion of R in lambda2 0.872 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.872 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.873 * [taylor]: Taking taylor expansion of R in lambda1 0.873 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.873 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.874 * [taylor]: Taking taylor expansion of R in phi2 0.874 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.874 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.875 * [taylor]: Taking taylor expansion of R in phi1 0.875 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.875 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.876 * [taylor]: Taking taylor expansion of R in phi1 0.876 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.876 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.877 * [taylor]: Taking taylor expansion of R in phi2 0.877 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.877 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.878 * [taylor]: Taking taylor expansion of R in lambda1 0.878 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.878 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.879 * [taylor]: Taking taylor expansion of R in lambda2 0.879 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.879 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.880 * [taylor]: Taking taylor expansion of R in R 0.881 * [taylor]: Taking taylor expansion of 0 in phi2 0.881 * [taylor]: Taking taylor expansion of 0 in lambda1 0.881 * [taylor]: Taking taylor expansion of 0 in lambda2 0.881 * [taylor]: Taking taylor expansion of 0 in R 0.882 * [taylor]: Taking taylor expansion of 0 in lambda1 0.882 * [taylor]: Taking taylor expansion of 0 in lambda2 0.882 * [taylor]: Taking taylor expansion of 0 in R 0.883 * [taylor]: Taking taylor expansion of 0 in lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in R 0.883 * [taylor]: Taking taylor expansion of 0 in R 0.885 * [taylor]: Taking taylor expansion of 0 in phi2 0.885 * [taylor]: Taking taylor expansion of 0 in lambda1 0.885 * [taylor]: Taking taylor expansion of 0 in lambda2 0.885 * [taylor]: Taking taylor expansion of 0 in R 0.885 * [taylor]: Taking taylor expansion of 0 in lambda1 0.885 * [taylor]: Taking taylor expansion of 0 in lambda2 0.885 * [taylor]: Taking taylor expansion of 0 in R 0.886 * [taylor]: Taking taylor expansion of 0 in lambda1 0.886 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [taylor]: Taking taylor expansion of 0 in R 0.886 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [taylor]: Taking taylor expansion of 0 in R 0.886 * [taylor]: Taking taylor expansion of 0 in lambda2 0.886 * [taylor]: Taking taylor expansion of 0 in R 0.887 * [taylor]: Taking taylor expansion of 0 in lambda2 0.887 * [taylor]: Taking taylor expansion of 0 in R 0.887 * [taylor]: Taking taylor expansion of 0 in R 0.887 * [taylor]: Taking taylor expansion of 0 in R 0.887 * [taylor]: Taking taylor expansion of 0 in R 0.888 * [taylor]: Taking taylor expansion of 0 in R 0.891 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.891 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.891 * [taylor]: Taking taylor expansion of -1 in R 0.891 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.891 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.891 * [taylor]: Taking taylor expansion of R in R 0.892 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.892 * [taylor]: Taking taylor expansion of -1 in lambda2 0.892 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.892 * [taylor]: Taking taylor expansion of R in lambda2 0.895 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.895 * [taylor]: Taking taylor expansion of -1 in lambda1 0.895 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.896 * [taylor]: Taking taylor expansion of R in lambda1 0.896 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.896 * [taylor]: Taking taylor expansion of -1 in phi2 0.896 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.896 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.897 * [taylor]: Taking taylor expansion of R in phi2 0.897 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.897 * [taylor]: Taking taylor expansion of -1 in phi1 0.897 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.897 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.898 * [taylor]: Taking taylor expansion of R in phi1 0.898 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.898 * [taylor]: Taking taylor expansion of -1 in phi1 0.898 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.898 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.899 * [taylor]: Taking taylor expansion of R in phi1 0.900 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.900 * [taylor]: Taking taylor expansion of -1 in phi2 0.900 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.900 * [taylor]: Taking taylor expansion of R in phi2 0.901 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.901 * [taylor]: Taking taylor expansion of -1 in lambda1 0.901 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.901 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.902 * [taylor]: Taking taylor expansion of R in lambda1 0.903 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.903 * [taylor]: Taking taylor expansion of -1 in lambda2 0.903 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.903 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.903 * [taylor]: Taking taylor expansion of R in lambda2 0.904 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.904 * [taylor]: Taking taylor expansion of -1 in R 0.904 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.904 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.905 * [taylor]: Taking taylor expansion of R in R 0.908 * [taylor]: Taking taylor expansion of 0 in phi2 0.908 * [taylor]: Taking taylor expansion of 0 in lambda1 0.908 * [taylor]: Taking taylor expansion of 0 in lambda2 0.908 * [taylor]: Taking taylor expansion of 0 in R 0.910 * [taylor]: Taking taylor expansion of 0 in lambda1 0.910 * [taylor]: Taking taylor expansion of 0 in lambda2 0.910 * [taylor]: Taking taylor expansion of 0 in R 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in R 0.913 * [taylor]: Taking taylor expansion of 0 in R 0.916 * [taylor]: Taking taylor expansion of 0 in phi2 0.916 * [taylor]: Taking taylor expansion of 0 in lambda1 0.916 * [taylor]: Taking taylor expansion of 0 in lambda2 0.916 * [taylor]: Taking taylor expansion of 0 in R 0.916 * [taylor]: Taking taylor expansion of 0 in lambda1 0.916 * [taylor]: Taking taylor expansion of 0 in lambda2 0.916 * [taylor]: Taking taylor expansion of 0 in R 0.918 * [taylor]: Taking taylor expansion of 0 in lambda1 0.918 * [taylor]: Taking taylor expansion of 0 in lambda2 0.918 * [taylor]: Taking taylor expansion of 0 in R 0.918 * [taylor]: Taking taylor expansion of 0 in lambda2 0.918 * [taylor]: Taking taylor expansion of 0 in R 0.918 * [taylor]: Taking taylor expansion of 0 in lambda2 0.918 * [taylor]: Taking taylor expansion of 0 in R 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [taylor]: Taking taylor expansion of 0 in R 0.920 * [taylor]: Taking taylor expansion of 0 in R 0.920 * [taylor]: Taking taylor expansion of 0 in R 0.920 * [taylor]: Taking taylor expansion of 0 in R 0.922 * [taylor]: Taking taylor expansion of 0 in R 0.925 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 0.925 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 0.925 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.925 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.925 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.926 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.926 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.926 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.926 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.926 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.926 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.926 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.926 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.926 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.926 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.926 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.926 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.928 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.928 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 0.935 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 0.935 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.935 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.935 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.941 * [taylor]: Taking taylor expansion of 0 in lambda2 0.942 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.942 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.942 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.942 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.942 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.942 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.942 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.942 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.942 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.942 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.942 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.942 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.942 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.943 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.943 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.943 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.943 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.943 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.943 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.943 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.943 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.943 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.943 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.945 * [taylor]: Taking taylor expansion of 0 in lambda2 0.949 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 0.955 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.955 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.955 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.955 * [taylor]: Taking taylor expansion of -1 in lambda2 0.955 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.955 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.955 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.956 * [taylor]: Taking taylor expansion of -1 in lambda2 0.956 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.956 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.956 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.956 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.956 * [taylor]: Taking taylor expansion of -1 in lambda1 0.956 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.956 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.956 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.956 * [taylor]: Taking taylor expansion of -1 in lambda1 0.956 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.956 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.956 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.956 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.956 * [taylor]: Taking taylor expansion of -1 in lambda1 0.956 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.957 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.957 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.957 * [taylor]: Taking taylor expansion of -1 in lambda1 0.957 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.957 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.957 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.957 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.957 * [taylor]: Taking taylor expansion of -1 in lambda2 0.957 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.957 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.957 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.957 * [taylor]: Taking taylor expansion of -1 in lambda2 0.957 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.963 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * * * [progress]: simplifying candidates 0.970 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 0.977 * * [simplify]: iteration 0 : 260 enodes (cost 929 ) 0.982 * * [simplify]: iteration 1 : 831 enodes (cost 774 ) 0.995 * * [simplify]: iteration 2 : 1930 enodes (cost 774 ) 1.015 * * [simplify]: iteration 3 : 3056 enodes (cost 774 ) 1.043 * * [simplify]: iteration 4 : 5001 enodes (cost 774 ) 1.046 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.047 * * * [progress]: adding candidates to table 1.353 * * [progress]: iteration 3 / 4 1.353 * * * [progress]: picking best candidate 1.424 * * * * [pick]: Picked # 1.424 * * * [progress]: localizing error 1.459 * * * [progress]: generating rewritten candidates 1.459 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 1.461 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.462 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 1.465 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.471 * * * [progress]: generating series expansions 1.471 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 1.471 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.471 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.471 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.471 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.471 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.471 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.471 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.471 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.471 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.471 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.471 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.471 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.471 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.471 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.471 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.471 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.472 * [taylor]: Taking taylor expansion of 0 in lambda2 1.477 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.477 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.480 * [taylor]: Taking taylor expansion of 0 in lambda2 1.484 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.485 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.485 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.485 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.485 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.491 * [taylor]: Taking taylor expansion of 0 in lambda2 1.491 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.491 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.491 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.491 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.491 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.491 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.491 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.491 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.491 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.491 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.491 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.491 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.492 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.492 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.492 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.492 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.492 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.492 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.492 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.492 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.492 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.492 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.493 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.493 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.493 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.493 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.493 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.493 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.493 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.495 * [taylor]: Taking taylor expansion of 0 in lambda2 1.499 * [taylor]: Taking taylor expansion of 0 in lambda2 1.504 * [taylor]: Taking taylor expansion of 0 in lambda2 1.505 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.505 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.505 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.505 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.505 * [taylor]: Taking taylor expansion of -1 in lambda2 1.505 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.505 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.505 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.505 * [taylor]: Taking taylor expansion of -1 in lambda2 1.505 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.505 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.505 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.505 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.505 * [taylor]: Taking taylor expansion of -1 in lambda1 1.505 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.506 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.506 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.506 * [taylor]: Taking taylor expansion of -1 in lambda1 1.506 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.506 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.506 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.506 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.506 * [taylor]: Taking taylor expansion of -1 in lambda1 1.506 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.506 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.506 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.506 * [taylor]: Taking taylor expansion of -1 in lambda1 1.506 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.507 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.507 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.507 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.507 * [taylor]: Taking taylor expansion of -1 in lambda2 1.507 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.507 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.507 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.507 * [taylor]: Taking taylor expansion of -1 in lambda2 1.507 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.509 * [taylor]: Taking taylor expansion of 0 in lambda2 1.513 * [taylor]: Taking taylor expansion of 0 in lambda2 1.518 * [taylor]: Taking taylor expansion of 0 in lambda2 1.519 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.519 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.519 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.522 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.523 * [taylor]: Taking taylor expansion of 0 in phi2 1.523 * [taylor]: Taking taylor expansion of 0 in lambda1 1.523 * [taylor]: Taking taylor expansion of 0 in lambda2 1.523 * [taylor]: Taking taylor expansion of 0 in lambda1 1.523 * [taylor]: Taking taylor expansion of 0 in lambda2 1.523 * [taylor]: Taking taylor expansion of 0 in lambda2 1.523 * [taylor]: Taking taylor expansion of 0 in phi2 1.523 * [taylor]: Taking taylor expansion of 0 in lambda1 1.523 * [taylor]: Taking taylor expansion of 0 in lambda2 1.523 * [taylor]: Taking taylor expansion of 0 in lambda1 1.523 * [taylor]: Taking taylor expansion of 0 in lambda2 1.524 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.524 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.524 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.525 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.525 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.526 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.526 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.527 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.527 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.528 * [taylor]: Taking taylor expansion of 0 in phi2 1.528 * [taylor]: Taking taylor expansion of 0 in lambda1 1.528 * [taylor]: Taking taylor expansion of 0 in lambda2 1.528 * [taylor]: Taking taylor expansion of 0 in lambda1 1.528 * [taylor]: Taking taylor expansion of 0 in lambda2 1.528 * [taylor]: Taking taylor expansion of 0 in lambda2 1.528 * [taylor]: Taking taylor expansion of 0 in phi2 1.529 * [taylor]: Taking taylor expansion of 0 in lambda1 1.529 * [taylor]: Taking taylor expansion of 0 in lambda2 1.529 * [taylor]: Taking taylor expansion of 0 in lambda1 1.529 * [taylor]: Taking taylor expansion of 0 in lambda2 1.530 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.532 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.532 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.533 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.533 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.534 * [taylor]: Taking taylor expansion of 0 in phi2 1.534 * [taylor]: Taking taylor expansion of 0 in lambda1 1.534 * [taylor]: Taking taylor expansion of 0 in lambda2 1.534 * [taylor]: Taking taylor expansion of 0 in lambda1 1.534 * [taylor]: Taking taylor expansion of 0 in lambda2 1.534 * [taylor]: Taking taylor expansion of 0 in lambda2 1.534 * [taylor]: Taking taylor expansion of 0 in phi2 1.534 * [taylor]: Taking taylor expansion of 0 in lambda1 1.534 * [taylor]: Taking taylor expansion of 0 in lambda2 1.534 * [taylor]: Taking taylor expansion of 0 in lambda1 1.535 * [taylor]: Taking taylor expansion of 0 in lambda2 1.535 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 1.535 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 1.535 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 1.535 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.536 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.536 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.536 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.536 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.538 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 1.538 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.538 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.538 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.538 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.538 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.540 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 1.540 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.540 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.540 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.540 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.540 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.543 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 1.543 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.543 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.547 * [taylor]: Taking taylor expansion of 0 in lambda2 1.553 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin lambda2) 3))) in lambda2 1.553 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 1.553 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.553 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 1.553 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.553 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.557 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 1.557 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 1.557 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.557 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.557 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.557 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.558 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.558 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.558 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.558 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 1.558 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.558 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.558 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.558 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.559 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.559 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.559 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.561 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 1.561 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.561 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.561 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.561 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.562 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.562 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.562 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.562 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 1.562 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 1.562 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.562 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.562 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.563 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 1.563 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.563 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.563 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.566 * [taylor]: Taking taylor expansion of 0 in lambda2 1.571 * [taylor]: Taking taylor expansion of 0 in lambda2 1.580 * [taylor]: Taking taylor expansion of 0 in lambda2 1.581 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 1.581 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 1.581 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.581 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.581 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.581 * [taylor]: Taking taylor expansion of -1 in lambda2 1.581 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.581 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.581 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.581 * [taylor]: Taking taylor expansion of -1 in lambda2 1.581 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.581 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 1.581 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.581 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.581 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.581 * [taylor]: Taking taylor expansion of -1 in lambda1 1.581 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.582 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.582 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.582 * [taylor]: Taking taylor expansion of -1 in lambda1 1.582 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.582 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 1.582 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.582 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.582 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.582 * [taylor]: Taking taylor expansion of -1 in lambda1 1.582 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.582 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.582 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.582 * [taylor]: Taking taylor expansion of -1 in lambda1 1.583 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.583 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 1.583 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 1.583 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.583 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.583 * [taylor]: Taking taylor expansion of -1 in lambda2 1.583 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.583 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 1.583 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.583 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.584 * [taylor]: Taking taylor expansion of -1 in lambda2 1.584 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.587 * [taylor]: Taking taylor expansion of 0 in lambda2 1.592 * [taylor]: Taking taylor expansion of 0 in lambda2 1.601 * [taylor]: Taking taylor expansion of 0 in lambda2 1.601 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.601 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.601 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.601 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.601 * [taylor]: Taking taylor expansion of phi1 in phi2 1.601 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.601 * [taylor]: Taking taylor expansion of phi2 in phi2 1.601 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.601 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.601 * [taylor]: Taking taylor expansion of phi1 in phi1 1.601 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.601 * [taylor]: Taking taylor expansion of phi2 in phi1 1.601 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.601 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.601 * [taylor]: Taking taylor expansion of phi1 in phi1 1.601 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.601 * [taylor]: Taking taylor expansion of phi2 in phi1 1.601 * [taylor]: Taking taylor expansion of 0 in phi2 1.604 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.604 * [taylor]: Taking taylor expansion of phi2 in phi2 1.607 * [taylor]: Taking taylor expansion of 0 in phi2 1.611 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.611 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.611 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.611 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.611 * [taylor]: Taking taylor expansion of phi2 in phi2 1.617 * [taylor]: Taking taylor expansion of 0 in phi2 1.617 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.617 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.617 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.617 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.617 * [taylor]: Taking taylor expansion of phi1 in phi2 1.617 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.617 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.617 * [taylor]: Taking taylor expansion of phi2 in phi2 1.618 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.618 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.618 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.618 * [taylor]: Taking taylor expansion of phi1 in phi1 1.618 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.618 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.618 * [taylor]: Taking taylor expansion of phi2 in phi1 1.618 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.618 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.618 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.618 * [taylor]: Taking taylor expansion of phi1 in phi1 1.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.619 * [taylor]: Taking taylor expansion of phi2 in phi1 1.619 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.619 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.619 * [taylor]: Taking taylor expansion of phi1 in phi2 1.619 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.619 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.619 * [taylor]: Taking taylor expansion of phi2 in phi2 1.621 * [taylor]: Taking taylor expansion of 0 in phi2 1.625 * [taylor]: Taking taylor expansion of 0 in phi2 1.631 * [taylor]: Taking taylor expansion of 0 in phi2 1.631 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.631 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.631 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.631 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.631 * [taylor]: Taking taylor expansion of -1 in phi2 1.632 * [taylor]: Taking taylor expansion of phi1 in phi2 1.632 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.632 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.632 * [taylor]: Taking taylor expansion of -1 in phi2 1.632 * [taylor]: Taking taylor expansion of phi2 in phi2 1.632 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.632 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.632 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.632 * [taylor]: Taking taylor expansion of -1 in phi1 1.632 * [taylor]: Taking taylor expansion of phi1 in phi1 1.632 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.632 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.632 * [taylor]: Taking taylor expansion of -1 in phi1 1.632 * [taylor]: Taking taylor expansion of phi2 in phi1 1.633 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.633 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.633 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.633 * [taylor]: Taking taylor expansion of -1 in phi1 1.633 * [taylor]: Taking taylor expansion of phi1 in phi1 1.633 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.633 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.633 * [taylor]: Taking taylor expansion of -1 in phi1 1.633 * [taylor]: Taking taylor expansion of phi2 in phi1 1.633 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.633 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.633 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.633 * [taylor]: Taking taylor expansion of -1 in phi2 1.633 * [taylor]: Taking taylor expansion of phi1 in phi2 1.633 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.633 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.634 * [taylor]: Taking taylor expansion of -1 in phi2 1.634 * [taylor]: Taking taylor expansion of phi2 in phi2 1.636 * [taylor]: Taking taylor expansion of 0 in phi2 1.640 * [taylor]: Taking taylor expansion of 0 in phi2 1.645 * [taylor]: Taking taylor expansion of 0 in phi2 1.646 * * * [progress]: simplifying candidates 1.647 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (exp (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (+ (log (sin lambda1)) (log (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (pow (* (sin lambda1) (sin lambda2)) 1) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (* (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) (pow 2 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (- (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)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.654 * * [simplify]: iteration 0 : 297 enodes (cost 619 ) 1.659 * * [simplify]: iteration 1 : 1046 enodes (cost 542 ) 1.684 * * [simplify]: iteration 2 : 4843 enodes (cost 542 ) 1.828 * * [simplify]: iteration 3 : 5001 enodes (cost 542 ) 1.831 * [simplify]: Simplified to: (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (sin lambda1) (sin lambda2) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (sin lambda1) (sin lambda2) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (* (sin lambda1) (sin lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 1/2) (pow (* (sin lambda1) (sin lambda2)) 1/2) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) 3 3 (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (* (sin lambda1) (sin lambda2)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (* (sin lambda1) (sin lambda2)) 2) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2)) (pow (pow (* (sin lambda1) (sin lambda2)) 3) 3) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) 8 (pow (* (sin lambda1) (sin lambda2)) 2) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3/2) (pow (* (sin lambda1) (sin lambda2)) 3/2) (- (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 phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (+ (* (pow lambda1 3) (- (pow lambda2 3) (* 1/2 (pow lambda2 5)))) (- (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.831 * * * [progress]: adding candidates to table 2.202 * * [progress]: iteration 4 / 4 2.202 * * * [progress]: picking best candidate 2.265 * * * * [pick]: Picked # 2.265 * * * [progress]: localizing error 2.303 * * * [progress]: generating rewritten candidates 2.303 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 2.305 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 2.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1) 2.313 * * * [progress]: generating series expansions 2.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 2.313 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.313 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.313 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.313 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.313 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.313 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.313 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.313 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.313 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.313 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.313 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.314 * [taylor]: Taking taylor expansion of 0 in lambda2 2.316 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.319 * [taylor]: Taking taylor expansion of 0 in lambda2 2.323 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 2.323 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.323 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.324 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.332 * [taylor]: Taking taylor expansion of 0 in lambda2 2.332 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.332 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.332 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.332 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.332 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.333 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.333 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.333 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.333 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.333 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.333 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.333 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.333 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.334 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.334 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.334 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.334 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.334 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.336 * [taylor]: Taking taylor expansion of 0 in lambda2 2.340 * [taylor]: Taking taylor expansion of 0 in lambda2 2.346 * [taylor]: Taking taylor expansion of 0 in lambda2 2.346 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.346 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.346 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.346 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.346 * [taylor]: Taking taylor expansion of -1 in lambda2 2.346 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.346 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.346 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.346 * [taylor]: Taking taylor expansion of -1 in lambda2 2.346 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.347 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.347 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.347 * [taylor]: Taking taylor expansion of -1 in lambda1 2.347 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.347 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.347 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.347 * [taylor]: Taking taylor expansion of -1 in lambda1 2.347 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.347 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.347 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.347 * [taylor]: Taking taylor expansion of -1 in lambda1 2.347 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.348 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.348 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.348 * [taylor]: Taking taylor expansion of -1 in lambda1 2.348 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.348 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.348 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.348 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.348 * [taylor]: Taking taylor expansion of -1 in lambda2 2.348 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.348 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.348 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.348 * [taylor]: Taking taylor expansion of -1 in lambda2 2.348 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.351 * [taylor]: Taking taylor expansion of 0 in lambda2 2.355 * [taylor]: Taking taylor expansion of 0 in lambda2 2.360 * [taylor]: Taking taylor expansion of 0 in lambda2 2.360 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 2.360 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.360 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.360 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.360 * [taylor]: Taking taylor expansion of phi1 in phi2 2.360 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.360 * [taylor]: Taking taylor expansion of phi2 in phi2 2.360 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.360 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.360 * [taylor]: Taking taylor expansion of phi1 in phi1 2.361 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.361 * [taylor]: Taking taylor expansion of phi2 in phi1 2.361 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.361 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.361 * [taylor]: Taking taylor expansion of phi1 in phi1 2.361 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.361 * [taylor]: Taking taylor expansion of phi2 in phi1 2.361 * [taylor]: Taking taylor expansion of 0 in phi2 2.363 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.363 * [taylor]: Taking taylor expansion of phi2 in phi2 2.366 * [taylor]: Taking taylor expansion of 0 in phi2 2.370 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.370 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.370 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.370 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.370 * [taylor]: Taking taylor expansion of phi2 in phi2 2.377 * [taylor]: Taking taylor expansion of 0 in phi2 2.377 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.377 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.377 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.377 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.377 * [taylor]: Taking taylor expansion of phi1 in phi2 2.377 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.377 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.377 * [taylor]: Taking taylor expansion of phi2 in phi2 2.377 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.377 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.377 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.377 * [taylor]: Taking taylor expansion of phi1 in phi1 2.378 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.378 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.378 * [taylor]: Taking taylor expansion of phi2 in phi1 2.378 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.378 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.378 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.378 * [taylor]: Taking taylor expansion of phi1 in phi1 2.378 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.378 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.378 * [taylor]: Taking taylor expansion of phi2 in phi1 2.379 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.379 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.379 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.379 * [taylor]: Taking taylor expansion of phi1 in phi2 2.379 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.379 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.379 * [taylor]: Taking taylor expansion of phi2 in phi2 2.381 * [taylor]: Taking taylor expansion of 0 in phi2 2.385 * [taylor]: Taking taylor expansion of 0 in phi2 2.391 * [taylor]: Taking taylor expansion of 0 in phi2 2.391 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.391 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.391 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.391 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.391 * [taylor]: Taking taylor expansion of -1 in phi2 2.391 * [taylor]: Taking taylor expansion of phi1 in phi2 2.391 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.391 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.391 * [taylor]: Taking taylor expansion of -1 in phi2 2.391 * [taylor]: Taking taylor expansion of phi2 in phi2 2.392 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.392 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.392 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.392 * [taylor]: Taking taylor expansion of -1 in phi1 2.392 * [taylor]: Taking taylor expansion of phi1 in phi1 2.392 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.392 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.392 * [taylor]: Taking taylor expansion of -1 in phi1 2.392 * [taylor]: Taking taylor expansion of phi2 in phi1 2.392 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.392 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.392 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.392 * [taylor]: Taking taylor expansion of -1 in phi1 2.392 * [taylor]: Taking taylor expansion of phi1 in phi1 2.393 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.393 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.393 * [taylor]: Taking taylor expansion of -1 in phi1 2.393 * [taylor]: Taking taylor expansion of phi2 in phi1 2.393 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.393 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.393 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.393 * [taylor]: Taking taylor expansion of -1 in phi2 2.393 * [taylor]: Taking taylor expansion of phi1 in phi2 2.393 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.393 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.393 * [taylor]: Taking taylor expansion of -1 in phi2 2.393 * [taylor]: Taking taylor expansion of phi2 in phi2 2.396 * [taylor]: Taking taylor expansion of 0 in phi2 2.400 * [taylor]: Taking taylor expansion of 0 in phi2 2.405 * [taylor]: Taking taylor expansion of 0 in phi2 2.405 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.406 * [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 2.406 * [taylor]: Taking 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 2.406 * [taylor]: Taking 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 2.407 * [taylor]: Taking 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 2.407 * [taylor]: Taking 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 2.407 * [taylor]: Taking 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 2.408 * [taylor]: Taking 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 2.408 * [taylor]: Taking 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 2.408 * [taylor]: Taking 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 2.409 * [taylor]: Taking taylor expansion of 0 in phi2 2.409 * [taylor]: Taking taylor expansion of 0 in lambda1 2.409 * [taylor]: Taking taylor expansion of 0 in lambda2 2.409 * [taylor]: Taking taylor expansion of 0 in lambda1 2.409 * [taylor]: Taking taylor expansion of 0 in lambda2 2.409 * [taylor]: Taking taylor expansion of 0 in lambda2 2.409 * [taylor]: Taking taylor expansion of 0 in phi2 2.409 * [taylor]: Taking taylor expansion of 0 in lambda1 2.409 * [taylor]: Taking taylor expansion of 0 in lambda2 2.409 * [taylor]: Taking taylor expansion of 0 in lambda1 2.409 * [taylor]: Taking taylor expansion of 0 in lambda2 2.410 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.410 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.411 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.411 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.414 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.415 * [taylor]: Taking taylor expansion of 0 in phi2 2.415 * [taylor]: Taking taylor expansion of 0 in lambda1 2.415 * [taylor]: Taking taylor expansion of 0 in lambda2 2.415 * [taylor]: Taking taylor expansion of 0 in lambda1 2.415 * [taylor]: Taking taylor expansion of 0 in lambda2 2.415 * [taylor]: Taking taylor expansion of 0 in lambda2 2.415 * [taylor]: Taking taylor expansion of 0 in phi2 2.415 * [taylor]: Taking taylor expansion of 0 in lambda1 2.415 * [taylor]: Taking taylor expansion of 0 in lambda2 2.415 * [taylor]: Taking taylor expansion of 0 in lambda1 2.415 * [taylor]: Taking taylor expansion of 0 in lambda2 2.419 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.419 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.419 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.420 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.420 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.421 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.422 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.423 * [taylor]: Taking taylor expansion of 0 in phi2 2.424 * [taylor]: Taking taylor expansion of 0 in lambda1 2.424 * [taylor]: Taking taylor expansion of 0 in lambda2 2.424 * [taylor]: Taking taylor expansion of 0 in lambda1 2.424 * [taylor]: Taking taylor expansion of 0 in lambda2 2.424 * [taylor]: Taking taylor expansion of 0 in lambda2 2.424 * [taylor]: Taking taylor expansion of 0 in phi2 2.424 * [taylor]: Taking taylor expansion of 0 in lambda1 2.424 * [taylor]: Taking taylor expansion of 0 in lambda2 2.424 * [taylor]: Taking taylor expansion of 0 in lambda1 2.424 * [taylor]: Taking taylor expansion of 0 in lambda2 2.424 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1) 2.425 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 2.425 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 2.425 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.425 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.425 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.425 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.425 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.427 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 2.427 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.427 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.427 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.427 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.427 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.430 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 2.430 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.430 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.430 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.430 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.430 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.432 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 2.432 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.432 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.436 * [taylor]: Taking taylor expansion of 0 in lambda2 2.443 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin lambda2) 3))) in lambda2 2.443 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 2.443 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.443 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 2.443 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.443 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.447 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 2.447 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 2.447 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.447 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.447 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.447 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.447 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.447 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.447 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.447 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.447 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.448 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.448 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.448 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.448 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.448 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.448 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.448 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.448 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.448 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.448 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.448 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.449 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.449 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.449 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.449 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 2.449 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 2.449 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.449 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.449 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.449 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 2.450 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.450 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.450 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.453 * [taylor]: Taking taylor expansion of 0 in lambda2 2.458 * [taylor]: Taking taylor expansion of 0 in lambda2 2.467 * [taylor]: Taking taylor expansion of 0 in lambda2 2.467 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.467 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 2.467 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.467 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.467 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.467 * [taylor]: Taking taylor expansion of -1 in lambda2 2.467 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.467 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.467 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.467 * [taylor]: Taking taylor expansion of -1 in lambda2 2.467 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.468 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.468 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.468 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.468 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.468 * [taylor]: Taking taylor expansion of -1 in lambda1 2.468 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.468 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.468 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.468 * [taylor]: Taking taylor expansion of -1 in lambda1 2.468 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.468 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.468 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.468 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.469 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.469 * [taylor]: Taking taylor expansion of -1 in lambda1 2.469 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.469 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.469 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.469 * [taylor]: Taking taylor expansion of -1 in lambda1 2.469 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.470 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 2.470 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 2.470 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.470 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.470 * [taylor]: Taking taylor expansion of -1 in lambda2 2.470 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.470 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 2.470 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.470 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.470 * [taylor]: Taking taylor expansion of -1 in lambda2 2.470 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.473 * [taylor]: Taking taylor expansion of 0 in lambda2 2.479 * [taylor]: Taking taylor expansion of 0 in lambda2 2.487 * [taylor]: Taking taylor expansion of 0 in lambda2 2.488 * * * [progress]: simplifying candidates 2.489 * [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))) (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)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) 2.494 * * [simplify]: iteration 0 : 296 enodes (cost 661 ) 2.499 * * [simplify]: iteration 1 : 1024 enodes (cost 597 ) 2.522 * * [simplify]: iteration 2 : 4713 enodes (cost 597 ) 2.667 * * [simplify]: iteration 3 : 5001 enodes (cost 597 ) 2.672 * [simplify]: Simplified to: (log (* (sin lambda1) (sin lambda2))) (pow (exp (sin lambda1)) (sin lambda2)) (sin lambda1) (sin lambda2) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (sin lambda1) (sin lambda2) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (* (sin lambda1) (sin lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3/2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 1/2) (pow (* (sin lambda1) (sin lambda2)) 1/2) (+ (log (sin phi1)) (log (sin phi2))) (pow (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))) (cbrt 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 (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (* (sin phi1) (sin phi2))) (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))))))) (pow (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) 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 (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (log (pow (* (sin lambda1) (sin lambda2)) 3)) 3 3 (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (* (sin lambda1) (sin lambda2)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (* (sin lambda1) (sin lambda2)) 2) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2)) (pow (pow (* (sin lambda1) (sin lambda2)) 3) 3) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) 8 (pow (* (sin lambda1) (sin lambda2)) 2) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3/2) (pow (* (sin lambda1) (sin lambda2)) 3/2) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (+ (* (pow lambda1 3) (- (pow lambda2 3) (* 1/2 (pow lambda2 5)))) (- (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3) 2.673 * * * [progress]: adding candidates to table 3.092 * [progress]: [Phase 3 of 3] Extracting. 3.092 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 3.108 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.108 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # #) 3.187 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # #) 3.268 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # #) 3.350 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # #) 3.428 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # #) 3.509 * * * [regime]: Found split indices: #