7.037 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.280 * * * [progress]: [2/2] Setting up program. 0.285 * [progress]: [Phase 2 of 3] Improving. 0.285 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.287 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.288 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.290 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.291 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.291 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.291 * * [progress]: iteration 1 / 4 0.291 * * * [progress]: picking best candidate 0.295 * * * * [pick]: Picked # 0.295 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.330 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.334 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.339 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.339 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.340 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.340 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.340 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.340 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.341 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.347 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.350 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.350 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.351 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.351 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.351 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.351 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.351 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.351 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.351 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.351 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.354 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.354 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.354 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.354 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.354 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.355 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.355 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.355 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.355 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.355 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.355 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.356 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.356 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.356 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.357 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in phi2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [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 0.360 * [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 0.361 * [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 0.361 * [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 0.361 * [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 0.361 * [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 0.362 * [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 0.362 * [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 0.362 * [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 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [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 0.364 * [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 0.364 * [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 0.364 * [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 0.364 * [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 0.365 * [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 0.365 * [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 0.365 * [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 0.365 * [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 0.366 * [taylor]: Taking taylor expansion of 0 in phi2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in phi2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.367 * [taylor]: Taking taylor expansion of R in R 0.367 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.367 * [taylor]: Taking taylor expansion of R in lambda2 0.367 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.367 * [taylor]: Taking taylor expansion of R in lambda1 0.368 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.368 * [taylor]: Taking taylor expansion of R in phi2 0.368 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.368 * [taylor]: Taking taylor expansion of R in phi1 0.368 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.368 * [taylor]: Taking taylor expansion of R in phi1 0.368 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.369 * [taylor]: Taking taylor expansion of R in phi2 0.369 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.369 * [taylor]: Taking taylor expansion of R in lambda1 0.369 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.369 * [taylor]: Taking taylor expansion of R in lambda2 0.370 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.370 * [taylor]: Taking taylor expansion of R in R 0.370 * [taylor]: Taking taylor expansion of 0 in phi2 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in R 0.375 * [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 0.375 * [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 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of R in R 0.375 * [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 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of R in lambda2 0.376 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of R in lambda1 0.376 * [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 0.376 * [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 0.377 * [taylor]: Taking taylor expansion of R in phi2 0.377 * [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 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of R in phi1 0.377 * [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 0.377 * [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 0.378 * [taylor]: Taking taylor expansion of R in phi1 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of R in phi2 0.378 * [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 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of R in lambda1 0.379 * [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 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of R in lambda2 0.380 * [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 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of R in R 0.381 * [taylor]: Taking taylor expansion of 0 in phi2 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in phi2 0.383 * [taylor]: Taking taylor expansion of 0 in lambda1 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda1 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of -1 in R 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of R in R 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in lambda2 0.388 * [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 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of R in lambda2 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in lambda1 0.388 * [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 0.388 * [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 0.389 * [taylor]: Taking taylor expansion of R in lambda1 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of -1 in phi2 0.389 * [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 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of R in phi2 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of -1 in phi1 0.389 * [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 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of R in phi1 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of -1 in phi1 0.390 * [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 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of R in phi1 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of -1 in phi2 0.391 * [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 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of R in phi2 0.392 * [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 0.392 * [taylor]: Taking taylor expansion of -1 in lambda1 0.392 * [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 0.392 * [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 0.392 * [taylor]: Taking taylor expansion of R in lambda1 0.393 * [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 0.393 * [taylor]: Taking taylor expansion of -1 in lambda2 0.393 * [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 0.393 * [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 0.393 * [taylor]: Taking taylor expansion of R in lambda2 0.394 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.394 * [taylor]: Taking taylor expansion of -1 in R 0.394 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of R in R 0.400 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [taylor]: Taking taylor expansion of 0 in lambda1 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.401 * [taylor]: Taking taylor expansion of 0 in lambda1 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [taylor]: Taking taylor expansion of 0 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 0.405 * [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 0.407 * [taylor]: Taking taylor expansion of 0 in lambda1 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [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 0.407 * [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 lambda2 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.412 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.412 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.412 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.412 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.412 * [taylor]: Taking taylor expansion of phi1 in phi2 0.412 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.412 * [taylor]: Taking taylor expansion of phi2 in phi2 0.412 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.412 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.412 * [taylor]: Taking taylor expansion of phi1 in phi1 0.412 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.412 * [taylor]: Taking taylor expansion of phi2 in phi1 0.412 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.412 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.412 * [taylor]: Taking taylor expansion of phi1 in phi1 0.412 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.412 * [taylor]: Taking taylor expansion of phi2 in phi1 0.413 * [taylor]: Taking taylor expansion of 0 in phi2 0.415 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.415 * [taylor]: Taking taylor expansion of phi2 in phi2 0.418 * [taylor]: Taking taylor expansion of 0 in phi2 0.422 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.422 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.422 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.422 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.422 * [taylor]: Taking taylor expansion of phi2 in phi2 0.428 * [taylor]: Taking taylor expansion of 0 in phi2 0.428 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.428 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.428 * [taylor]: Taking taylor expansion of phi1 in phi2 0.428 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.428 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.428 * [taylor]: Taking taylor expansion of phi2 in phi2 0.429 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.429 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.429 * [taylor]: Taking taylor expansion of phi1 in phi1 0.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.429 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.429 * [taylor]: Taking taylor expansion of phi2 in phi1 0.429 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.429 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.429 * [taylor]: Taking taylor expansion of phi1 in phi1 0.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.429 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.429 * [taylor]: Taking taylor expansion of phi2 in phi1 0.430 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.430 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.430 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.430 * [taylor]: Taking taylor expansion of phi1 in phi2 0.430 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.430 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.430 * [taylor]: Taking taylor expansion of phi2 in phi2 0.432 * [taylor]: Taking taylor expansion of 0 in phi2 0.436 * [taylor]: Taking taylor expansion of 0 in phi2 0.441 * [taylor]: Taking taylor expansion of 0 in phi2 0.442 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.442 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.442 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.442 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.442 * [taylor]: Taking taylor expansion of -1 in phi2 0.442 * [taylor]: Taking taylor expansion of phi1 in phi2 0.442 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.442 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.442 * [taylor]: Taking taylor expansion of -1 in phi2 0.442 * [taylor]: Taking taylor expansion of phi2 in phi2 0.442 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.442 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.442 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.442 * [taylor]: Taking taylor expansion of -1 in phi1 0.442 * [taylor]: Taking taylor expansion of phi1 in phi1 0.442 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.443 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.443 * [taylor]: Taking taylor expansion of -1 in phi1 0.443 * [taylor]: Taking taylor expansion of phi2 in phi1 0.443 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.443 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.443 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.443 * [taylor]: Taking taylor expansion of -1 in phi1 0.443 * [taylor]: Taking taylor expansion of phi1 in phi1 0.443 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.443 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.443 * [taylor]: Taking taylor expansion of -1 in phi1 0.443 * [taylor]: Taking taylor expansion of phi2 in phi1 0.443 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.443 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.443 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.443 * [taylor]: Taking taylor expansion of -1 in phi2 0.443 * [taylor]: Taking taylor expansion of phi1 in phi2 0.444 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.444 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.444 * [taylor]: Taking taylor expansion of -1 in phi2 0.444 * [taylor]: Taking taylor expansion of phi2 in phi2 0.446 * [taylor]: Taking taylor expansion of 0 in phi2 0.450 * [taylor]: Taking taylor expansion of 0 in phi2 0.455 * [taylor]: Taking taylor expansion of 0 in phi2 0.455 * * * [progress]: simplifying candidates 0.456 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.460 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.463 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.472 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.498 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.500 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.501 * * * [progress]: adding candidates to table 0.729 * * [progress]: iteration 2 / 4 0.729 * * * [progress]: picking best candidate 0.794 * * * * [pick]: Picked # 0.794 * * * [progress]: localizing error 0.825 * * * [progress]: generating rewritten candidates 0.825 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.826 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.829 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.833 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.839 * * * [progress]: generating series expansions 0.839 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.840 * [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 0.840 * [taylor]: Taking 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 0.840 * [taylor]: Taking 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 0.841 * [taylor]: Taking 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 0.841 * [taylor]: Taking 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 0.842 * [taylor]: Taking 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 0.842 * [taylor]: Taking 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 0.842 * [taylor]: Taking 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 0.843 * [taylor]: Taking 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 0.843 * [taylor]: Taking taylor expansion of 0 in phi2 0.843 * [taylor]: Taking taylor expansion of 0 in lambda1 0.843 * [taylor]: Taking taylor expansion of 0 in lambda2 0.843 * [taylor]: Taking taylor expansion of 0 in lambda1 0.843 * [taylor]: Taking taylor expansion of 0 in lambda2 0.843 * [taylor]: Taking taylor expansion of 0 in lambda2 0.844 * [taylor]: Taking taylor expansion of 0 in phi2 0.844 * [taylor]: Taking taylor expansion of 0 in lambda1 0.844 * [taylor]: Taking taylor expansion of 0 in lambda2 0.844 * [taylor]: Taking taylor expansion of 0 in lambda1 0.844 * [taylor]: Taking taylor expansion of 0 in lambda2 0.844 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.844 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.845 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.845 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.846 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.846 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.847 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.847 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.848 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.849 * [taylor]: Taking taylor expansion of 0 in phi2 0.849 * [taylor]: Taking taylor expansion of 0 in lambda1 0.849 * [taylor]: Taking taylor expansion of 0 in lambda2 0.849 * [taylor]: Taking taylor expansion of 0 in lambda1 0.849 * [taylor]: Taking taylor expansion of 0 in lambda2 0.849 * [taylor]: Taking taylor expansion of 0 in lambda2 0.849 * [taylor]: Taking taylor expansion of 0 in phi2 0.849 * [taylor]: Taking taylor expansion of 0 in lambda1 0.849 * [taylor]: Taking taylor expansion of 0 in lambda2 0.849 * [taylor]: Taking taylor expansion of 0 in lambda1 0.849 * [taylor]: Taking taylor expansion of 0 in lambda2 0.850 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.850 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.851 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.851 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.852 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.852 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.853 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.853 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.854 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.855 * [taylor]: Taking taylor expansion of 0 in phi2 0.855 * [taylor]: Taking taylor expansion of 0 in lambda1 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [taylor]: Taking taylor expansion of 0 in lambda1 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [taylor]: Taking taylor expansion of 0 in phi2 0.855 * [taylor]: Taking taylor expansion of 0 in lambda1 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.855 * [taylor]: Taking taylor expansion of 0 in lambda1 0.855 * [taylor]: Taking taylor expansion of 0 in lambda2 0.856 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.856 * [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 0.856 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 0.856 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 0.856 * [taylor]: Taking taylor expansion of R in R 0.857 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 0.857 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 0.857 * [taylor]: Taking taylor expansion of R in lambda2 0.857 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 0.857 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 0.857 * [taylor]: Taking taylor expansion of R in lambda1 0.857 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 0.857 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 0.858 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 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 phi1 0.858 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 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 phi1 0.858 * [taylor]: Taking taylor expansion of 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))))))) 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 0.860 * [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 lambda1 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 lambda1 0.860 * [taylor]: Taking taylor expansion of R in lambda1 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 lambda2 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 lambda2 0.861 * [taylor]: Taking taylor expansion of R in lambda2 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 R 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 R 0.861 * [taylor]: Taking taylor expansion of R in R 0.862 * [taylor]: Taking taylor expansion of 0 in phi2 0.862 * [taylor]: Taking taylor expansion of 0 in lambda1 0.862 * [taylor]: Taking taylor expansion of 0 in lambda2 0.862 * [taylor]: Taking taylor expansion of 0 in R 0.863 * [taylor]: Taking taylor expansion of 0 in lambda1 0.863 * [taylor]: Taking taylor expansion of 0 in lambda2 0.863 * [taylor]: Taking taylor expansion of 0 in R 0.863 * [taylor]: Taking taylor expansion of 0 in lambda2 0.863 * [taylor]: Taking taylor expansion of 0 in R 0.864 * [taylor]: Taking taylor expansion of 0 in R 0.865 * [taylor]: Taking taylor expansion of 0 in phi2 0.865 * [taylor]: Taking taylor expansion of 0 in lambda1 0.865 * [taylor]: Taking taylor expansion of 0 in lambda2 0.865 * [taylor]: Taking taylor expansion of 0 in R 0.866 * [taylor]: Taking taylor expansion of 0 in lambda1 0.866 * [taylor]: Taking taylor expansion of 0 in lambda2 0.866 * [taylor]: Taking taylor expansion of 0 in R 0.866 * [taylor]: Taking taylor expansion of 0 in lambda1 0.866 * [taylor]: Taking taylor expansion of 0 in lambda2 0.866 * [taylor]: Taking taylor expansion of 0 in R 0.866 * [taylor]: Taking taylor expansion of 0 in lambda2 0.866 * [taylor]: Taking taylor expansion of 0 in R 0.866 * [taylor]: Taking taylor expansion of 0 in lambda2 0.866 * [taylor]: Taking taylor expansion of 0 in R 0.867 * [taylor]: Taking taylor expansion of 0 in lambda2 0.867 * [taylor]: Taking taylor expansion of 0 in R 0.868 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.868 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.868 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.869 * [taylor]: Taking taylor expansion of R in R 0.869 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.869 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.870 * [taylor]: Taking taylor expansion of R in lambda2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.871 * [taylor]: Taking taylor expansion of R in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.872 * [taylor]: Taking taylor expansion of R in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.873 * [taylor]: Taking taylor expansion of R in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.874 * [taylor]: Taking taylor expansion of 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.875 * [taylor]: Taking taylor expansion of 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.878 * [taylor]: Taking taylor expansion of R in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.879 * [taylor]: Taking taylor expansion of R in lambda2 0.880 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.880 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.880 * [taylor]: Taking taylor expansion of R in R 0.882 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 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 lambda2 0.883 * [taylor]: Taking taylor expansion of 0 in R 0.884 * [taylor]: Taking taylor expansion of 0 in R 0.886 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 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 lambda1 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 lambda2 0.887 * [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 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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.891 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.891 * [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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.892 * [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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.893 * [taylor]: Taking taylor expansion of R in lambda2 0.893 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.893 * [taylor]: Taking taylor expansion of -1 in lambda1 0.893 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.893 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.894 * [taylor]: Taking taylor expansion of R in lambda1 0.894 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.894 * [taylor]: Taking taylor expansion of -1 in phi2 0.894 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.894 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.895 * [taylor]: Taking taylor expansion of R in phi2 0.895 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.895 * [taylor]: Taking taylor expansion of -1 in phi1 0.895 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.895 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.896 * [taylor]: Taking taylor expansion of R in phi1 0.896 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.896 * [taylor]: Taking taylor expansion of -1 in phi1 0.896 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.896 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.897 * [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))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.898 * [taylor]: Taking taylor expansion of -1 in phi2 0.898 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.898 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.898 * [taylor]: Taking taylor expansion of R in phi2 0.899 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.899 * [taylor]: Taking taylor expansion of -1 in lambda1 0.899 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.899 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.900 * [taylor]: Taking taylor expansion of R in lambda1 0.901 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.901 * [taylor]: Taking taylor expansion of -1 in lambda2 0.901 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.901 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.902 * [taylor]: Taking taylor expansion of R in lambda2 0.903 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.903 * [taylor]: Taking taylor expansion of -1 in R 0.903 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.903 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.903 * [taylor]: Taking taylor expansion of R in R 0.906 * [taylor]: Taking taylor expansion of 0 in phi2 0.906 * [taylor]: Taking taylor expansion of 0 in lambda1 0.906 * [taylor]: Taking taylor expansion of 0 in lambda2 0.906 * [taylor]: Taking taylor expansion of 0 in R 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 0.909 * [taylor]: Taking taylor expansion of 0 in lambda2 0.909 * [taylor]: Taking taylor expansion of 0 in R 0.910 * [taylor]: Taking taylor expansion of 0 in R 0.914 * [taylor]: Taking taylor expansion of 0 in phi2 0.914 * [taylor]: Taking taylor expansion of 0 in lambda1 0.914 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [taylor]: Taking taylor expansion of 0 in R 0.914 * [taylor]: Taking taylor expansion of 0 in lambda1 0.914 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [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 0.916 * [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 lambda2 0.916 * [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 R 0.918 * [taylor]: Taking taylor expansion of 0 in R 0.918 * [taylor]: Taking taylor expansion of 0 in R 0.919 * [taylor]: Taking taylor expansion of 0 in R 0.923 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.923 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.923 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.923 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.923 * [taylor]: Taking taylor expansion of phi1 in phi2 0.923 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.923 * [taylor]: Taking taylor expansion of phi2 in phi2 0.923 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.923 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.923 * [taylor]: Taking taylor expansion of phi1 in phi1 0.923 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.923 * [taylor]: Taking taylor expansion of phi2 in phi1 0.923 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.923 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.923 * [taylor]: Taking taylor expansion of phi1 in phi1 0.923 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.923 * [taylor]: Taking taylor expansion of phi2 in phi1 0.923 * [taylor]: Taking taylor expansion of 0 in phi2 0.926 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.926 * [taylor]: Taking taylor expansion of phi2 in phi2 0.928 * [taylor]: Taking taylor expansion of 0 in phi2 0.933 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.933 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.933 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.933 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.933 * [taylor]: Taking taylor expansion of phi2 in phi2 0.939 * [taylor]: Taking taylor expansion of 0 in phi2 0.939 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.939 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.939 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.939 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.939 * [taylor]: Taking taylor expansion of phi1 in phi2 0.939 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.939 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.939 * [taylor]: Taking taylor expansion of phi2 in phi2 0.939 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.939 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.939 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.939 * [taylor]: Taking taylor expansion of phi1 in phi1 0.940 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.940 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.940 * [taylor]: Taking taylor expansion of phi2 in phi1 0.940 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.940 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.940 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.940 * [taylor]: Taking taylor expansion of phi1 in phi1 0.940 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.940 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.940 * [taylor]: Taking taylor expansion of phi2 in phi1 0.940 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.940 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.940 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.940 * [taylor]: Taking taylor expansion of phi1 in phi2 0.940 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.940 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.940 * [taylor]: Taking taylor expansion of phi2 in phi2 0.943 * [taylor]: Taking taylor expansion of 0 in phi2 0.946 * [taylor]: Taking taylor expansion of 0 in phi2 0.952 * [taylor]: Taking taylor expansion of 0 in phi2 0.952 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.952 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.952 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.952 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.952 * [taylor]: Taking taylor expansion of -1 in phi2 0.952 * [taylor]: Taking taylor expansion of phi1 in phi2 0.952 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.952 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.952 * [taylor]: Taking taylor expansion of -1 in phi2 0.952 * [taylor]: Taking taylor expansion of phi2 in phi2 0.953 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.953 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.953 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.953 * [taylor]: Taking taylor expansion of -1 in phi1 0.953 * [taylor]: Taking taylor expansion of phi1 in phi1 0.953 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.953 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.953 * [taylor]: Taking taylor expansion of -1 in phi1 0.953 * [taylor]: Taking taylor expansion of phi2 in phi1 0.953 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.953 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.953 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.953 * [taylor]: Taking taylor expansion of -1 in phi1 0.953 * [taylor]: Taking taylor expansion of phi1 in phi1 0.954 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.954 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.954 * [taylor]: Taking taylor expansion of -1 in phi1 0.954 * [taylor]: Taking taylor expansion of phi2 in phi1 0.954 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.954 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.954 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.954 * [taylor]: Taking taylor expansion of -1 in phi2 0.954 * [taylor]: Taking taylor expansion of phi1 in phi2 0.954 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.954 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.954 * [taylor]: Taking taylor expansion of -1 in phi2 0.954 * [taylor]: Taking taylor expansion of phi2 in phi2 0.958 * [taylor]: Taking taylor expansion of 0 in phi2 0.962 * [taylor]: Taking taylor expansion of 0 in phi2 0.968 * [taylor]: Taking taylor expansion of 0 in phi2 0.968 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 0.968 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 0.968 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 0.968 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.968 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.968 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.968 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.968 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.969 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 0.969 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.969 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.969 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 0.969 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 0.969 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.969 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 0.969 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.969 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.969 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 0.969 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 0.969 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.971 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.971 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.971 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.975 * [taylor]: Taking taylor expansion of 0 in lambda2 0.980 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 0.980 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 0.981 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.981 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.981 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.981 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 0.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 0.990 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.990 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.990 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.991 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 0.991 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 0.991 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.991 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.991 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 0.991 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.991 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.992 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.992 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 0.992 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 0.992 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.992 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.992 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 0.992 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.992 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.992 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.993 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 0.993 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 0.993 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.993 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.994 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 0.994 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.994 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.994 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.994 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 0.994 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 0.994 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.994 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 1.005 * [taylor]: Taking taylor expansion of 0 in lambda2 1.015 * [taylor]: Taking taylor expansion of 0 in lambda2 1.015 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.015 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.015 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.015 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.015 * [taylor]: Taking taylor expansion of -1 in lambda2 1.015 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.016 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.016 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.016 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.016 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.016 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.016 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.016 * [taylor]: Taking taylor expansion of -1 in lambda1 1.016 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.017 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.017 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.017 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.017 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.017 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.017 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.017 * [taylor]: Taking taylor expansion of -1 in lambda1 1.017 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.017 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.017 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.017 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.018 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.018 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.018 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.018 * [taylor]: Taking taylor expansion of -1 in lambda2 1.018 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.018 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.018 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.018 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.022 * [taylor]: Taking taylor expansion of 0 in lambda2 1.028 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * * * [progress]: simplifying candidates 1.038 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.046 * * [simplify]: iteration 0 : 281 enodes (cost 1000 ) 1.053 * * [simplify]: iteration 1 : 916 enodes (cost 859 ) 1.073 * * [simplify]: iteration 2 : 2499 enodes (cost 835 ) 1.104 * * [simplify]: iteration 3 : 5001 enodes (cost 835 ) 1.107 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.108 * * * [progress]: adding candidates to table 1.454 * * [progress]: iteration 3 / 4 1.454 * * * [progress]: picking best candidate 1.545 * * * * [pick]: Picked # 1.545 * * * [progress]: localizing error 1.581 * * * [progress]: generating rewritten candidates 1.581 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.582 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.583 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.586 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.591 * * * [progress]: generating series expansions 1.591 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.591 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.591 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.591 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.591 * [taylor]: Taking taylor expansion of phi1 in phi2 1.591 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.591 * [taylor]: Taking taylor expansion of phi2 in phi2 1.591 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.591 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.591 * [taylor]: Taking taylor expansion of phi1 in phi1 1.591 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.592 * [taylor]: Taking taylor expansion of phi2 in phi1 1.592 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.592 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.592 * [taylor]: Taking taylor expansion of phi1 in phi1 1.592 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.592 * [taylor]: Taking taylor expansion of phi2 in phi1 1.592 * [taylor]: Taking taylor expansion of 0 in phi2 1.594 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.594 * [taylor]: Taking taylor expansion of phi2 in phi2 1.597 * [taylor]: Taking taylor expansion of 0 in phi2 1.601 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.601 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.601 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.601 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.601 * [taylor]: Taking taylor expansion of phi2 in phi2 1.607 * [taylor]: Taking taylor expansion of 0 in phi2 1.608 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.608 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.608 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.608 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.608 * [taylor]: Taking taylor expansion of phi1 in phi2 1.608 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.608 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.608 * [taylor]: Taking taylor expansion of phi2 in phi2 1.608 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.608 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.608 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.608 * [taylor]: Taking taylor expansion of phi1 in phi1 1.608 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.608 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.608 * [taylor]: Taking taylor expansion of phi2 in phi1 1.609 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.609 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.609 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.609 * [taylor]: Taking taylor expansion of phi1 in phi1 1.609 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.609 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.609 * [taylor]: Taking taylor expansion of phi2 in phi1 1.609 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.609 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.609 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.609 * [taylor]: Taking taylor expansion of phi1 in phi2 1.609 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.609 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.609 * [taylor]: Taking taylor expansion of phi2 in phi2 1.611 * [taylor]: Taking taylor expansion of 0 in phi2 1.618 * [taylor]: Taking taylor expansion of 0 in phi2 1.623 * [taylor]: Taking taylor expansion of 0 in phi2 1.623 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.623 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.623 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.623 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.623 * [taylor]: Taking taylor expansion of -1 in phi2 1.623 * [taylor]: Taking taylor expansion of phi1 in phi2 1.623 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.623 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.623 * [taylor]: Taking taylor expansion of -1 in phi2 1.623 * [taylor]: Taking taylor expansion of phi2 in phi2 1.624 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.624 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.624 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.624 * [taylor]: Taking taylor expansion of -1 in phi1 1.624 * [taylor]: Taking taylor expansion of phi1 in phi1 1.624 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.624 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.624 * [taylor]: Taking taylor expansion of -1 in phi1 1.624 * [taylor]: Taking taylor expansion of phi2 in phi1 1.624 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.624 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.624 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.624 * [taylor]: Taking taylor expansion of -1 in phi1 1.624 * [taylor]: Taking taylor expansion of phi1 in phi1 1.625 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.625 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.625 * [taylor]: Taking taylor expansion of -1 in phi1 1.625 * [taylor]: Taking taylor expansion of phi2 in phi1 1.625 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.625 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.625 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.625 * [taylor]: Taking taylor expansion of -1 in phi2 1.625 * [taylor]: Taking taylor expansion of phi1 in phi2 1.625 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.625 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.625 * [taylor]: Taking taylor expansion of -1 in phi2 1.625 * [taylor]: Taking taylor expansion of phi2 in phi2 1.627 * [taylor]: Taking taylor expansion of 0 in phi2 1.631 * [taylor]: Taking taylor expansion of 0 in phi2 1.636 * [taylor]: Taking taylor expansion of 0 in phi2 1.637 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.637 * [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 1.637 * [taylor]: Taking 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 1.637 * [taylor]: Taking 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 1.638 * [taylor]: Taking 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 1.638 * [taylor]: Taking 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 1.639 * [taylor]: Taking 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 1.639 * [taylor]: Taking 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 1.639 * [taylor]: Taking 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 1.640 * [taylor]: Taking 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 1.640 * [taylor]: Taking taylor expansion of 0 in phi2 1.640 * [taylor]: Taking taylor expansion of 0 in lambda1 1.640 * [taylor]: Taking taylor expansion of 0 in lambda2 1.640 * [taylor]: Taking taylor expansion of 0 in lambda1 1.640 * [taylor]: Taking taylor expansion of 0 in lambda2 1.640 * [taylor]: Taking taylor expansion of 0 in lambda2 1.641 * [taylor]: Taking taylor expansion of 0 in phi2 1.641 * [taylor]: Taking taylor expansion of 0 in lambda1 1.641 * [taylor]: Taking taylor expansion of 0 in lambda2 1.641 * [taylor]: Taking taylor expansion of 0 in lambda1 1.641 * [taylor]: Taking taylor expansion of 0 in lambda2 1.641 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.642 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.642 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.642 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.643 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.643 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.644 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.644 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.645 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.646 * [taylor]: Taking taylor expansion of 0 in phi2 1.646 * [taylor]: Taking taylor expansion of 0 in lambda1 1.646 * [taylor]: Taking taylor expansion of 0 in lambda2 1.646 * [taylor]: Taking taylor expansion of 0 in lambda1 1.646 * [taylor]: Taking taylor expansion of 0 in lambda2 1.646 * [taylor]: Taking taylor expansion of 0 in lambda2 1.646 * [taylor]: Taking taylor expansion of 0 in phi2 1.646 * [taylor]: Taking taylor expansion of 0 in lambda1 1.646 * [taylor]: Taking taylor expansion of 0 in lambda2 1.646 * [taylor]: Taking taylor expansion of 0 in lambda1 1.646 * [taylor]: Taking taylor expansion of 0 in lambda2 1.647 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.647 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.648 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.648 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.649 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.649 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.650 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.650 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.651 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.652 * [taylor]: Taking taylor expansion of 0 in phi2 1.652 * [taylor]: Taking taylor expansion of 0 in lambda1 1.652 * [taylor]: Taking taylor expansion of 0 in lambda2 1.652 * [taylor]: Taking taylor expansion of 0 in lambda1 1.652 * [taylor]: Taking taylor expansion of 0 in lambda2 1.652 * [taylor]: Taking taylor expansion of 0 in lambda2 1.652 * [taylor]: Taking taylor expansion of 0 in phi2 1.652 * [taylor]: Taking taylor expansion of 0 in lambda1 1.652 * [taylor]: Taking taylor expansion of 0 in lambda2 1.652 * [taylor]: Taking taylor expansion of 0 in lambda1 1.652 * [taylor]: Taking taylor expansion of 0 in lambda2 1.653 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.653 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.653 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 1.653 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.654 * [taylor]: Taking taylor expansion of R in R 1.654 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 1.654 * [taylor]: Taking 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 1.654 * [taylor]: Taking taylor expansion of R in lambda2 1.654 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 1.654 * [taylor]: Taking 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 1.654 * [taylor]: Taking taylor expansion of R in lambda1 1.654 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 1.654 * [taylor]: Taking 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 1.655 * [taylor]: Taking taylor expansion of R in phi2 1.655 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 1.655 * [taylor]: Taking 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 1.655 * [taylor]: Taking taylor expansion of R in phi1 1.655 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 1.655 * [taylor]: Taking 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 1.655 * [taylor]: Taking taylor expansion of R in phi1 1.656 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 1.656 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.656 * [taylor]: Taking taylor expansion of R in phi2 1.657 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 1.657 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.657 * [taylor]: Taking taylor expansion of R in lambda1 1.658 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 1.658 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.658 * [taylor]: Taking taylor expansion of R in lambda2 1.658 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 1.658 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.659 * [taylor]: Taking taylor expansion of R in R 1.659 * [taylor]: Taking taylor expansion of 0 in phi2 1.659 * [taylor]: Taking taylor expansion of 0 in lambda1 1.659 * [taylor]: Taking taylor expansion of 0 in lambda2 1.659 * [taylor]: Taking taylor expansion of 0 in R 1.660 * [taylor]: Taking taylor expansion of 0 in lambda1 1.660 * [taylor]: Taking taylor expansion of 0 in lambda2 1.660 * [taylor]: Taking taylor expansion of 0 in R 1.660 * [taylor]: Taking taylor expansion of 0 in lambda2 1.660 * [taylor]: Taking taylor expansion of 0 in R 1.661 * [taylor]: Taking taylor expansion of 0 in R 1.663 * [taylor]: Taking taylor expansion of 0 in phi2 1.663 * [taylor]: Taking taylor expansion of 0 in lambda1 1.663 * [taylor]: Taking taylor expansion of 0 in lambda2 1.663 * [taylor]: Taking taylor expansion of 0 in R 1.663 * [taylor]: Taking taylor expansion of 0 in lambda1 1.663 * [taylor]: Taking taylor expansion of 0 in lambda2 1.663 * [taylor]: Taking taylor expansion of 0 in R 1.663 * [taylor]: Taking taylor expansion of 0 in lambda1 1.663 * [taylor]: Taking taylor expansion of 0 in lambda2 1.663 * [taylor]: Taking taylor expansion of 0 in R 1.663 * [taylor]: Taking taylor expansion of 0 in lambda2 1.663 * [taylor]: Taking taylor expansion of 0 in R 1.663 * [taylor]: Taking taylor expansion of 0 in lambda2 1.664 * [taylor]: Taking taylor expansion of 0 in R 1.664 * [taylor]: Taking taylor expansion of 0 in lambda2 1.664 * [taylor]: Taking taylor expansion of 0 in R 1.665 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.666 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.666 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.666 * [taylor]: Taking taylor expansion of R in R 1.667 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.667 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.667 * [taylor]: Taking taylor expansion of R in lambda2 1.668 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.668 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.668 * [taylor]: Taking taylor expansion of R in lambda1 1.669 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.669 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.669 * [taylor]: Taking taylor expansion of R in phi2 1.670 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.670 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.670 * [taylor]: Taking taylor expansion of R in phi1 1.671 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.671 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.671 * [taylor]: Taking taylor expansion of R in phi1 1.672 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.672 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.672 * [taylor]: Taking taylor expansion of R in phi2 1.673 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.673 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.673 * [taylor]: Taking taylor expansion of R in lambda1 1.674 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.674 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.674 * [taylor]: Taking taylor expansion of R in lambda2 1.675 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.675 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.675 * [taylor]: Taking taylor expansion of R in R 1.677 * [taylor]: Taking taylor expansion of 0 in phi2 1.677 * [taylor]: Taking taylor expansion of 0 in lambda1 1.677 * [taylor]: Taking taylor expansion of 0 in lambda2 1.677 * [taylor]: Taking taylor expansion of 0 in R 1.678 * [taylor]: Taking taylor expansion of 0 in lambda1 1.678 * [taylor]: Taking taylor expansion of 0 in lambda2 1.678 * [taylor]: Taking taylor expansion of 0 in R 1.678 * [taylor]: Taking taylor expansion of 0 in lambda2 1.678 * [taylor]: Taking taylor expansion of 0 in R 1.679 * [taylor]: Taking taylor expansion of 0 in R 1.681 * [taylor]: Taking taylor expansion of 0 in phi2 1.681 * [taylor]: Taking taylor expansion of 0 in lambda1 1.681 * [taylor]: Taking taylor expansion of 0 in lambda2 1.681 * [taylor]: Taking taylor expansion of 0 in R 1.681 * [taylor]: Taking taylor expansion of 0 in lambda1 1.681 * [taylor]: Taking taylor expansion of 0 in lambda2 1.681 * [taylor]: Taking taylor expansion of 0 in R 1.681 * [taylor]: Taking taylor expansion of 0 in lambda1 1.681 * [taylor]: Taking taylor expansion of 0 in lambda2 1.681 * [taylor]: Taking taylor expansion of 0 in R 1.681 * [taylor]: Taking taylor expansion of 0 in lambda2 1.681 * [taylor]: Taking taylor expansion of 0 in R 1.681 * [taylor]: Taking taylor expansion of 0 in lambda2 1.681 * [taylor]: Taking taylor expansion of 0 in R 1.682 * [taylor]: Taking taylor expansion of 0 in lambda2 1.682 * [taylor]: Taking taylor expansion of 0 in R 1.682 * [taylor]: Taking taylor expansion of 0 in R 1.682 * [taylor]: Taking taylor expansion of 0 in R 1.682 * [taylor]: Taking taylor expansion of 0 in R 1.683 * [taylor]: Taking taylor expansion of 0 in R 1.686 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.686 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.686 * [taylor]: Taking taylor expansion of -1 in R 1.686 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.686 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.686 * [taylor]: Taking taylor expansion of R in R 1.687 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.687 * [taylor]: Taking taylor expansion of -1 in lambda2 1.687 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.687 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.687 * [taylor]: Taking taylor expansion of R in lambda2 1.688 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.688 * [taylor]: Taking taylor expansion of -1 in lambda1 1.688 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.688 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.688 * [taylor]: Taking taylor expansion of R in lambda1 1.689 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.689 * [taylor]: Taking taylor expansion of -1 in phi2 1.689 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.689 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.689 * [taylor]: Taking taylor expansion of R in phi2 1.690 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.690 * [taylor]: Taking taylor expansion of -1 in phi1 1.690 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.690 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.690 * [taylor]: Taking taylor expansion of R in phi1 1.691 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.691 * [taylor]: Taking taylor expansion of -1 in phi1 1.691 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.691 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.691 * [taylor]: Taking taylor expansion of R in phi1 1.695 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.695 * [taylor]: Taking taylor expansion of -1 in phi2 1.695 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.695 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.695 * [taylor]: Taking taylor expansion of R in phi2 1.696 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.696 * [taylor]: Taking taylor expansion of -1 in lambda1 1.696 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.696 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.697 * [taylor]: Taking taylor expansion of R in lambda1 1.698 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.698 * [taylor]: Taking taylor expansion of -1 in lambda2 1.698 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.698 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.698 * [taylor]: Taking taylor expansion of R in lambda2 1.699 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.699 * [taylor]: Taking taylor expansion of -1 in R 1.699 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.699 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.700 * [taylor]: Taking taylor expansion of R in R 1.703 * [taylor]: Taking taylor expansion of 0 in phi2 1.703 * [taylor]: Taking taylor expansion of 0 in lambda1 1.703 * [taylor]: Taking taylor expansion of 0 in lambda2 1.703 * [taylor]: Taking taylor expansion of 0 in R 1.704 * [taylor]: Taking taylor expansion of 0 in lambda1 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [taylor]: Taking taylor expansion of 0 in R 1.706 * [taylor]: Taking taylor expansion of 0 in lambda2 1.706 * [taylor]: Taking taylor expansion of 0 in R 1.707 * [taylor]: Taking taylor expansion of 0 in R 1.711 * [taylor]: Taking taylor expansion of 0 in phi2 1.711 * [taylor]: Taking taylor expansion of 0 in lambda1 1.711 * [taylor]: Taking taylor expansion of 0 in lambda2 1.711 * [taylor]: Taking taylor expansion of 0 in R 1.711 * [taylor]: Taking taylor expansion of 0 in lambda1 1.711 * [taylor]: Taking taylor expansion of 0 in lambda2 1.711 * [taylor]: Taking taylor expansion of 0 in R 1.712 * [taylor]: Taking taylor expansion of 0 in lambda1 1.712 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [taylor]: Taking taylor expansion of 0 in R 1.713 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [taylor]: Taking taylor expansion of 0 in R 1.713 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [taylor]: Taking taylor expansion of 0 in R 1.714 * [taylor]: Taking taylor expansion of 0 in lambda2 1.714 * [taylor]: Taking taylor expansion of 0 in R 1.714 * [taylor]: Taking taylor expansion of 0 in R 1.714 * [taylor]: Taking taylor expansion of 0 in R 1.714 * [taylor]: Taking taylor expansion of 0 in R 1.716 * [taylor]: Taking taylor expansion of 0 in R 1.719 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.720 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.720 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.720 * [taylor]: Taking taylor expansion of phi1 in phi2 1.720 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.720 * [taylor]: Taking taylor expansion of phi2 in phi2 1.720 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.720 * [taylor]: Taking taylor expansion of phi1 in phi1 1.720 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.720 * [taylor]: Taking taylor expansion of phi2 in phi1 1.720 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.720 * [taylor]: Taking taylor expansion of phi1 in phi1 1.720 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.720 * [taylor]: Taking taylor expansion of phi2 in phi1 1.720 * [taylor]: Taking taylor expansion of 0 in phi2 1.722 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.722 * [taylor]: Taking taylor expansion of phi2 in phi2 1.725 * [taylor]: Taking taylor expansion of 0 in phi2 1.729 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.729 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.729 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.729 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.729 * [taylor]: Taking taylor expansion of phi2 in phi2 1.735 * [taylor]: Taking taylor expansion of 0 in phi2 1.735 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.735 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.735 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.735 * [taylor]: Taking taylor expansion of phi1 in phi2 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.735 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.735 * [taylor]: Taking taylor expansion of phi2 in phi2 1.736 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.736 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.736 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.736 * [taylor]: Taking taylor expansion of phi1 in phi1 1.736 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.736 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.736 * [taylor]: Taking taylor expansion of phi2 in phi1 1.736 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.736 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.736 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.736 * [taylor]: Taking taylor expansion of phi1 in phi1 1.736 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.736 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.736 * [taylor]: Taking taylor expansion of phi2 in phi1 1.737 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.737 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.737 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.737 * [taylor]: Taking taylor expansion of phi1 in phi2 1.737 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.737 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.737 * [taylor]: Taking taylor expansion of phi2 in phi2 1.739 * [taylor]: Taking taylor expansion of 0 in phi2 1.743 * [taylor]: Taking taylor expansion of 0 in phi2 1.748 * [taylor]: Taking taylor expansion of 0 in phi2 1.748 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.748 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.748 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.748 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.748 * [taylor]: Taking taylor expansion of -1 in phi2 1.748 * [taylor]: Taking taylor expansion of phi1 in phi2 1.748 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.748 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.748 * [taylor]: Taking taylor expansion of -1 in phi2 1.748 * [taylor]: Taking taylor expansion of phi2 in phi2 1.749 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.749 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.749 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.749 * [taylor]: Taking taylor expansion of -1 in phi1 1.749 * [taylor]: Taking taylor expansion of phi1 in phi1 1.749 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.749 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.749 * [taylor]: Taking taylor expansion of -1 in phi1 1.749 * [taylor]: Taking taylor expansion of phi2 in phi1 1.749 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.749 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.749 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.749 * [taylor]: Taking taylor expansion of -1 in phi1 1.749 * [taylor]: Taking taylor expansion of phi1 in phi1 1.750 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.750 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.750 * [taylor]: Taking taylor expansion of -1 in phi1 1.750 * [taylor]: Taking taylor expansion of phi2 in phi1 1.750 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.750 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.750 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.750 * [taylor]: Taking taylor expansion of -1 in phi2 1.750 * [taylor]: Taking taylor expansion of phi1 in phi2 1.750 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.750 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.750 * [taylor]: Taking taylor expansion of -1 in phi2 1.750 * [taylor]: Taking taylor expansion of phi2 in phi2 1.752 * [taylor]: Taking taylor expansion of 0 in phi2 1.756 * [taylor]: Taking taylor expansion of 0 in phi2 1.762 * [taylor]: Taking taylor expansion of 0 in phi2 1.762 * * * [progress]: simplifying candidates 1.763 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2)))))) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log 1) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (log (exp (* (sin phi1) (sin phi2))))) (exp (log (exp (* (sin phi1) (sin phi2))))) (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (log (exp (* (sin phi1) (sin phi2))))) (* (* (log (exp (* (sin phi1) (sin phi2)))) (log (exp (* (sin phi1) (sin phi2))))) (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.768 * * [simplify]: iteration 0 : 226 enodes (cost 1020 ) 1.771 * * [simplify]: iteration 1 : 636 enodes (cost 872 ) 1.781 * * [simplify]: iteration 2 : 1485 enodes (cost 860 ) 1.799 * * [simplify]: iteration 3 : 2561 enodes (cost 860 ) 1.829 * * [simplify]: iteration 4 : 5002 enodes (cost 860 ) 1.832 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (sin phi1) (sin phi2)))))) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (log (pow (exp (* (sin phi1) (sin phi2))) 1/2)) (log (pow (exp (* (sin phi1) (sin phi2))) 1/2)) 0 (* (sin phi1) (sin phi2)) (sin phi1) (* (sin phi1) (sin phi2)) (sin phi1) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (* (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.835 * * * [progress]: adding candidates to table 2.163 * * [progress]: iteration 4 / 4 2.163 * * * [progress]: picking best candidate 2.248 * * * * [pick]: Picked # 2.248 * * * [progress]: localizing error 2.283 * * * [progress]: generating rewritten candidates 2.283 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 2.285 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.286 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 2.290 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.294 * * * [progress]: generating series expansions 2.294 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 2.294 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in (lambda1 lambda2) around 0 2.294 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda2 2.294 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.294 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.294 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.294 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.294 * [taylor]: Taking taylor expansion of -1 in lambda2 2.294 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.295 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.295 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.295 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.295 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.295 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.295 * [taylor]: Taking taylor expansion of -1 in lambda1 2.295 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.295 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.295 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.295 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.295 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.295 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.295 * [taylor]: Taking taylor expansion of -1 in lambda1 2.295 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.296 * [taylor]: Taking taylor expansion of 0 in lambda2 2.298 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.298 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.298 * [taylor]: Taking taylor expansion of -1 in lambda2 2.298 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.302 * [taylor]: Taking taylor expansion of 0 in lambda2 2.307 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (* -1 lambda2)))) in lambda2 2.307 * [taylor]: Taking taylor expansion of (* 1/6 (sin (* -1 lambda2))) in lambda2 2.307 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.307 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.307 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.307 * [taylor]: Taking taylor expansion of -1 in lambda2 2.307 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.315 * [taylor]: Taking taylor expansion of 0 in lambda2 2.315 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.315 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.315 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.316 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.316 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.316 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.316 * [taylor]: Taking taylor expansion of -1 in lambda2 2.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.316 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.316 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.316 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.316 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.316 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.316 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.316 * [taylor]: Taking taylor expansion of -1 in lambda1 2.316 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.316 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.316 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.317 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.317 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.317 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.317 * [taylor]: Taking taylor expansion of -1 in lambda1 2.317 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.317 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.317 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.317 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.317 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.317 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.317 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.317 * [taylor]: Taking taylor expansion of -1 in lambda2 2.317 * [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 0 in lambda2 2.329 * [taylor]: Taking taylor expansion of 0 in lambda2 2.329 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.329 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.329 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.329 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.329 * [taylor]: Taking taylor expansion of -1 in lambda2 2.329 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.329 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.329 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.329 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.330 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.330 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.330 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.330 * [taylor]: Taking taylor expansion of -1 in lambda1 2.330 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.330 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.330 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.330 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.330 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.330 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.330 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.330 * [taylor]: Taking taylor expansion of -1 in lambda1 2.330 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.331 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.331 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.331 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.331 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.331 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.331 * [taylor]: Taking taylor expansion of -1 in lambda2 2.331 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.331 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.331 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.337 * [taylor]: Taking taylor expansion of 0 in lambda2 2.341 * [taylor]: Taking taylor expansion of 0 in lambda2 2.347 * [taylor]: Taking taylor expansion of 0 in lambda2 2.347 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.347 * [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 (* -1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.347 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.348 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.348 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.349 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.349 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.349 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.350 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.350 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.351 * [taylor]: Taking taylor expansion of 0 in phi2 2.351 * [taylor]: Taking taylor expansion of 0 in lambda1 2.351 * [taylor]: Taking taylor expansion of 0 in lambda2 2.351 * [taylor]: Taking taylor expansion of 0 in lambda1 2.351 * [taylor]: Taking taylor expansion of 0 in lambda2 2.351 * [taylor]: Taking taylor expansion of 0 in lambda2 2.351 * [taylor]: Taking taylor expansion of 0 in phi2 2.351 * [taylor]: Taking taylor expansion of 0 in lambda1 2.351 * [taylor]: Taking taylor expansion of 0 in lambda2 2.351 * [taylor]: Taking taylor expansion of 0 in lambda1 2.351 * [taylor]: Taking taylor expansion of 0 in lambda2 2.352 * [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 2.352 * [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 2.352 * [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 2.353 * [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 2.353 * [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 2.354 * [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 2.354 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.355 * [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 2.355 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in phi2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda1 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda1 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in lambda2 2.356 * [taylor]: Taking taylor expansion of 0 in phi2 2.357 * [taylor]: Taking taylor expansion of 0 in lambda1 2.357 * [taylor]: Taking taylor expansion of 0 in lambda2 2.357 * [taylor]: Taking taylor expansion of 0 in lambda1 2.357 * [taylor]: Taking taylor expansion of 0 in lambda2 2.358 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.358 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.358 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.359 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.359 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.360 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.360 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.361 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.361 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in phi2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda1 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda1 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda2 2.362 * [taylor]: Taking taylor expansion of 0 in phi2 2.362 * [taylor]: Taking taylor expansion of 0 in lambda1 2.363 * [taylor]: Taking taylor expansion of 0 in lambda2 2.363 * [taylor]: Taking taylor expansion of 0 in lambda1 2.363 * [taylor]: Taking taylor expansion of 0 in lambda2 2.363 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 2.363 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.363 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda2 2.364 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda2 2.364 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.364 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.364 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.364 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.364 * [taylor]: Taking taylor expansion of -1 in lambda2 2.364 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.367 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda1 2.367 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.367 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.367 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.367 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.367 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.367 * [taylor]: Taking taylor expansion of -1 in lambda1 2.367 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.370 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda1 2.370 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.370 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.370 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.370 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.370 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.370 * [taylor]: Taking taylor expansion of -1 in lambda1 2.370 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.373 * [taylor]: Taking taylor expansion of (pow (sin (* -1 lambda2)) 3) in lambda2 2.373 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.373 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.373 * [taylor]: Taking taylor expansion of -1 in lambda2 2.373 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.378 * [taylor]: Taking taylor expansion of 0 in lambda2 2.385 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin (* -1 lambda2)) 3))) in lambda2 2.385 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin (* -1 lambda2)) 3)) in lambda2 2.385 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.386 * [taylor]: Taking taylor expansion of (pow (sin (* -1 lambda2)) 3) in lambda2 2.386 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.386 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.386 * [taylor]: Taking taylor expansion of -1 in lambda2 2.386 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.391 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.391 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 2.391 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.391 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.391 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.391 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.391 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.391 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.391 * [taylor]: Taking taylor expansion of -1 in lambda2 2.391 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.392 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.392 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.392 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.392 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.392 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.392 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.392 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.392 * [taylor]: Taking taylor expansion of -1 in lambda1 2.392 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.392 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.392 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.392 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.392 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.392 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.393 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.393 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.393 * [taylor]: Taking taylor expansion of -1 in lambda1 2.393 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.393 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 2.393 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 2.393 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.393 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.393 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.394 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 2.394 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.394 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.394 * [taylor]: Taking taylor expansion of -1 in lambda2 2.394 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.397 * [taylor]: Taking taylor expansion of 0 in lambda2 2.402 * [taylor]: Taking taylor expansion of 0 in lambda2 2.410 * [taylor]: Taking taylor expansion of 0 in lambda2 2.410 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 2.410 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 2.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.410 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.410 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.410 * [taylor]: Taking taylor expansion of -1 in lambda2 2.410 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.410 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.410 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.410 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.411 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.411 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.411 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.411 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.411 * [taylor]: Taking taylor expansion of -1 in lambda1 2.411 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.411 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.411 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.411 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.412 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.412 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.412 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.412 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.412 * [taylor]: Taking taylor expansion of -1 in lambda1 2.412 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.412 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.412 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.412 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.413 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 2.413 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 2.413 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.413 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.413 * [taylor]: Taking taylor expansion of -1 in lambda2 2.413 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.413 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 2.413 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.413 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.413 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.416 * [taylor]: Taking taylor expansion of 0 in lambda2 2.425 * [taylor]: Taking taylor expansion of 0 in lambda2 2.434 * [taylor]: Taking taylor expansion of 0 in lambda2 2.434 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.435 * [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 (* -1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.435 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in R 2.435 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in R 2.435 * [taylor]: Taking taylor expansion of R in R 2.435 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda2 2.435 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.435 * [taylor]: Taking taylor expansion of R in lambda2 2.436 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda1 2.436 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.436 * [taylor]: Taking taylor expansion of R in lambda1 2.436 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi2 2.436 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.436 * [taylor]: Taking taylor expansion of R in phi2 2.436 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi1 2.436 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.437 * [taylor]: Taking taylor expansion of R in phi1 2.437 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi1 2.437 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.437 * [taylor]: Taking taylor expansion of R in phi1 2.437 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi2 2.438 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.438 * [taylor]: Taking taylor expansion of R in phi2 2.438 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda1 2.438 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.439 * [taylor]: Taking taylor expansion of R in lambda1 2.439 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda2 2.439 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.439 * [taylor]: Taking taylor expansion of R in lambda2 2.440 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in R 2.440 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in R 2.440 * [taylor]: Taking taylor expansion of R in R 2.441 * [taylor]: Taking taylor expansion of 0 in phi2 2.441 * [taylor]: Taking taylor expansion of 0 in lambda1 2.441 * [taylor]: Taking taylor expansion of 0 in lambda2 2.441 * [taylor]: Taking taylor expansion of 0 in R 2.441 * [taylor]: Taking taylor expansion of 0 in lambda1 2.441 * [taylor]: Taking taylor expansion of 0 in lambda2 2.441 * [taylor]: Taking taylor expansion of 0 in R 2.442 * [taylor]: Taking taylor expansion of 0 in lambda2 2.442 * [taylor]: Taking taylor expansion of 0 in R 2.442 * [taylor]: Taking taylor expansion of 0 in R 2.444 * [taylor]: Taking taylor expansion of 0 in phi2 2.444 * [taylor]: Taking taylor expansion of 0 in lambda1 2.444 * [taylor]: Taking taylor expansion of 0 in lambda2 2.444 * [taylor]: Taking taylor expansion of 0 in R 2.444 * [taylor]: Taking taylor expansion of 0 in lambda1 2.444 * [taylor]: Taking taylor expansion of 0 in lambda2 2.444 * [taylor]: Taking taylor expansion of 0 in R 2.445 * [taylor]: Taking taylor expansion of 0 in lambda1 2.445 * [taylor]: Taking taylor expansion of 0 in lambda2 2.445 * [taylor]: Taking taylor expansion of 0 in R 2.445 * [taylor]: Taking taylor expansion of 0 in lambda2 2.445 * [taylor]: Taking taylor expansion of 0 in R 2.445 * [taylor]: Taking taylor expansion of 0 in lambda2 2.445 * [taylor]: Taking taylor expansion of 0 in R 2.446 * [taylor]: Taking taylor expansion of 0 in lambda2 2.446 * [taylor]: Taking taylor expansion of 0 in R 2.447 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.447 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in R 2.447 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in R 2.447 * [taylor]: Taking taylor expansion of R in R 2.448 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda2 2.448 * [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 2.448 * [taylor]: Taking taylor expansion of R in lambda2 2.449 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda1 2.449 * [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 2.449 * [taylor]: Taking taylor expansion of R in lambda1 2.450 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi2 2.450 * [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 2.450 * [taylor]: Taking taylor expansion of R in phi2 2.451 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi1 2.451 * [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 2.451 * [taylor]: Taking taylor expansion of R in phi1 2.452 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi1 2.452 * [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 2.452 * [taylor]: Taking taylor expansion of R in phi1 2.453 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi2 2.453 * [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 2.453 * [taylor]: Taking taylor expansion of R in phi2 2.454 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda1 2.454 * [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 2.454 * [taylor]: Taking taylor expansion of R in lambda1 2.455 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda2 2.455 * [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 2.455 * [taylor]: Taking taylor expansion of R in lambda2 2.456 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in R 2.456 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in R 2.456 * [taylor]: Taking taylor expansion of R in R 2.458 * [taylor]: Taking taylor expansion of 0 in phi2 2.458 * [taylor]: Taking taylor expansion of 0 in lambda1 2.458 * [taylor]: Taking taylor expansion of 0 in lambda2 2.458 * [taylor]: Taking taylor expansion of 0 in R 2.459 * [taylor]: Taking taylor expansion of 0 in lambda1 2.459 * [taylor]: Taking taylor expansion of 0 in lambda2 2.459 * [taylor]: Taking taylor expansion of 0 in R 2.459 * [taylor]: Taking taylor expansion of 0 in lambda2 2.460 * [taylor]: Taking taylor expansion of 0 in R 2.460 * [taylor]: Taking taylor expansion of 0 in R 2.462 * [taylor]: Taking taylor expansion of 0 in phi2 2.462 * [taylor]: Taking taylor expansion of 0 in lambda1 2.462 * [taylor]: Taking taylor expansion of 0 in lambda2 2.462 * [taylor]: Taking taylor expansion of 0 in R 2.462 * [taylor]: Taking taylor expansion of 0 in lambda1 2.462 * [taylor]: Taking taylor expansion of 0 in lambda2 2.462 * [taylor]: Taking taylor expansion of 0 in R 2.463 * [taylor]: Taking taylor expansion of 0 in lambda1 2.463 * [taylor]: Taking taylor expansion of 0 in lambda2 2.463 * [taylor]: Taking taylor expansion of 0 in R 2.463 * [taylor]: Taking taylor expansion of 0 in lambda2 2.463 * [taylor]: Taking taylor expansion of 0 in R 2.463 * [taylor]: Taking taylor expansion of 0 in lambda2 2.463 * [taylor]: Taking taylor expansion of 0 in R 2.463 * [taylor]: Taking taylor expansion of 0 in lambda2 2.463 * [taylor]: Taking taylor expansion of 0 in R 2.463 * [taylor]: Taking taylor expansion of 0 in R 2.463 * [taylor]: Taking taylor expansion of 0 in R 2.463 * [taylor]: Taking taylor expansion of 0 in R 2.464 * [taylor]: Taking taylor expansion of 0 in R 2.467 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.467 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.467 * [taylor]: Taking taylor expansion of -1 in R 2.467 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.467 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.468 * [taylor]: Taking taylor expansion of R in R 2.468 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.468 * [taylor]: Taking taylor expansion of -1 in lambda2 2.468 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.468 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.469 * [taylor]: Taking taylor expansion of R in lambda2 2.469 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.469 * [taylor]: Taking taylor expansion of -1 in lambda1 2.469 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.469 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.470 * [taylor]: Taking taylor expansion of R in lambda1 2.470 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.470 * [taylor]: Taking taylor expansion of -1 in phi2 2.470 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.470 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.471 * [taylor]: Taking taylor expansion of R in phi2 2.471 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.471 * [taylor]: Taking taylor expansion of -1 in phi1 2.471 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.471 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.472 * [taylor]: Taking taylor expansion of R in phi1 2.472 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.472 * [taylor]: Taking taylor expansion of -1 in phi1 2.472 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.472 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.473 * [taylor]: Taking taylor expansion of R in phi1 2.474 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.474 * [taylor]: Taking taylor expansion of -1 in phi2 2.474 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.474 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.475 * [taylor]: Taking taylor expansion of R in phi2 2.476 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.476 * [taylor]: Taking taylor expansion of -1 in lambda1 2.476 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.476 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.476 * [taylor]: Taking taylor expansion of R in lambda1 2.477 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.477 * [taylor]: Taking taylor expansion of -1 in lambda2 2.477 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.477 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.478 * [taylor]: Taking taylor expansion of R in lambda2 2.479 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.479 * [taylor]: Taking taylor expansion of -1 in R 2.479 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.479 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.479 * [taylor]: Taking taylor expansion of R in R 2.482 * [taylor]: Taking taylor expansion of 0 in phi2 2.482 * [taylor]: Taking taylor expansion of 0 in lambda1 2.482 * [taylor]: Taking taylor expansion of 0 in lambda2 2.482 * [taylor]: Taking taylor expansion of 0 in R 2.484 * [taylor]: Taking taylor expansion of 0 in lambda1 2.484 * [taylor]: Taking taylor expansion of 0 in lambda2 2.484 * [taylor]: Taking taylor expansion of 0 in R 2.485 * [taylor]: Taking taylor expansion of 0 in lambda2 2.485 * [taylor]: Taking taylor expansion of 0 in R 2.487 * [taylor]: Taking taylor expansion of 0 in R 2.490 * [taylor]: Taking taylor expansion of 0 in phi2 2.490 * [taylor]: Taking taylor expansion of 0 in lambda1 2.490 * [taylor]: Taking taylor expansion of 0 in lambda2 2.490 * [taylor]: Taking taylor expansion of 0 in R 2.490 * [taylor]: Taking taylor expansion of 0 in lambda1 2.490 * [taylor]: Taking taylor expansion of 0 in lambda2 2.490 * [taylor]: Taking taylor expansion of 0 in R 2.492 * [taylor]: Taking taylor expansion of 0 in lambda1 2.492 * [taylor]: Taking taylor expansion of 0 in lambda2 2.492 * [taylor]: Taking taylor expansion of 0 in R 2.492 * [taylor]: Taking taylor expansion of 0 in lambda2 2.492 * [taylor]: Taking taylor expansion of 0 in R 2.492 * [taylor]: Taking taylor expansion of 0 in lambda2 2.492 * [taylor]: Taking taylor expansion of 0 in R 2.494 * [taylor]: Taking taylor expansion of 0 in lambda2 2.494 * [taylor]: Taking taylor expansion of 0 in R 2.494 * [taylor]: Taking taylor expansion of 0 in R 2.494 * [taylor]: Taking taylor expansion of 0 in R 2.494 * [taylor]: Taking taylor expansion of 0 in R 2.496 * [taylor]: Taking taylor expansion of 0 in R 2.502 * * * [progress]: simplifying candidates 2.503 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (exp (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (* -1 lambda2)) 3)) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (* -1 lambda2)) 3)) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (+ (log (sin lambda1)) (log (sin (* -1 lambda2)))) 3) (* (log (* (sin lambda1) (sin (* -1 lambda2)))) 3) (* (log (* (sin lambda1) (sin (* -1 lambda2)))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (* -1 lambda2))) (sqrt 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2)))) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (* (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3) (pow 2 3) (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2)))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2)) (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (- (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5)))) (* (pow lambda2 3) (pow lambda1 3))) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 2.509 * * [simplify]: iteration 0 : 293 enodes (cost 1138 ) 2.515 * * [simplify]: iteration 1 : 1082 enodes (cost 994 ) 2.550 * * [simplify]: iteration 2 : 5001 enodes (cost 982 ) 2.557 * [simplify]: Simplified to: (log (* (sin lambda1) (sin (* -1 lambda2)))) (pow (exp (sin lambda1)) (sin (* -1 lambda2))) (sin lambda1) (sin (* -1 lambda2)) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (sin lambda1) (sin (* -1 lambda2)) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt 1) (* (sin lambda1) (sin (* -1 lambda2))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2)) (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1/2) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1/2) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) 3 3 (pow (* (sin lambda1) (sin (* -1 lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (* -1 lambda2))) (sqrt 3)) (* (sin lambda1) (sin (* -1 lambda2))) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (* (sin lambda1) (sin (* -1 lambda2))) (pow (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) 3) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3) 8 (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (- (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5)))) (* (pow lambda2 3) (pow lambda1 3))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 2.558 * * * [progress]: adding candidates to table 2.942 * [progress]: [Phase 3 of 3] Extracting. 2.942 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 2.960 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 2.960 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 3.070 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 3.178 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 3.297 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 3.400 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 3.503 * * * [regime]: Found split indices: #