6.221 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.256 * * * [progress]: [2/2] Setting up program. 0.259 * [progress]: [Phase 2 of 3] Improving. 0.260 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.262 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.263 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.265 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.266 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.268 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.268 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.268 * * [progress]: iteration 1 / 4 0.268 * * * [progress]: picking best candidate 0.272 * * * * [pick]: Picked # 0.272 * * * [progress]: localizing error 0.296 * * * [progress]: generating rewritten candidates 0.296 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.309 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.311 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.318 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.335 * * * [progress]: generating series expansions 0.335 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.335 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.335 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.335 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.335 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.336 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.336 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.336 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.336 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.336 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.336 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.337 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.337 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.337 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.339 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.339 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.342 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.342 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.342 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.344 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.346 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.350 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.351 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.352 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in phi2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 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 phi2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 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 phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [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 0.357 * [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 0.358 * [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 0.358 * [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 0.358 * [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 0.359 * [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 0.359 * [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 0.359 * [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 0.359 * [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 0.360 * [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 * [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 0.361 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.361 * [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 0.361 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.361 * [taylor]: Taking taylor expansion of R in R 0.361 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.362 * [taylor]: Taking taylor expansion of R in lambda2 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.362 * [taylor]: Taking taylor expansion of R in lambda1 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.362 * [taylor]: Taking taylor expansion of R in phi2 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.362 * [taylor]: Taking taylor expansion of R in phi1 0.362 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.363 * [taylor]: Taking taylor expansion of R in phi1 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.363 * [taylor]: Taking taylor expansion of R in phi2 0.363 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.363 * [taylor]: Taking taylor expansion of R in lambda1 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.364 * [taylor]: Taking taylor expansion of R in lambda2 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.364 * [taylor]: Taking taylor expansion of R in R 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [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 0.369 * [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 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of R in R 0.370 * [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 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of R in lambda2 0.370 * [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 0.370 * [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 0.371 * [taylor]: Taking taylor expansion of R in lambda1 0.371 * [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 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of R in phi2 0.371 * [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 0.371 * [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 0.372 * [taylor]: Taking taylor expansion of R in phi1 0.372 * [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 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of R in phi1 0.373 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of R in phi2 0.373 * [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 0.373 * [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 0.374 * [taylor]: Taking taylor expansion of R in lambda1 0.374 * [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 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of R in lambda2 0.374 * [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 0.374 * [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 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in phi2 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [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 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of -1 in R 0.382 * [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 0.382 * [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 0.382 * [taylor]: Taking taylor expansion of R in R 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of -1 in lambda2 0.383 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of R in lambda2 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of -1 in lambda1 0.383 * [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 0.383 * [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 0.384 * [taylor]: Taking taylor expansion of R in lambda1 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of -1 in phi2 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of R in phi2 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of -1 in phi1 0.385 * [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 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of R in phi1 0.385 * [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 0.385 * [taylor]: Taking taylor expansion of -1 in phi1 0.385 * [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 0.385 * [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 0.386 * [taylor]: Taking taylor expansion of R in phi1 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of -1 in phi2 0.386 * [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 0.386 * [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 0.387 * [taylor]: Taking taylor expansion of R in phi2 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 lambda1 0.387 * [taylor]: Taking taylor expansion of -1 in lambda1 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 lambda1 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 lambda1 0.387 * [taylor]: Taking taylor expansion of R in lambda1 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 0.389 * [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 R 0.389 * [taylor]: Taking taylor expansion of -1 in R 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 R 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 R 0.389 * [taylor]: Taking taylor expansion of R in R 0.391 * [taylor]: Taking taylor expansion of 0 in phi2 0.391 * [taylor]: Taking taylor expansion of 0 in lambda1 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of 0 in lambda1 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [taylor]: Taking taylor expansion of 0 in lambda1 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in lambda2 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.403 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.403 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.403 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.403 * [taylor]: Taking taylor expansion of phi1 in phi2 0.403 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.403 * [taylor]: Taking taylor expansion of phi2 in phi2 0.403 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.403 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.403 * [taylor]: Taking taylor expansion of phi1 in phi1 0.403 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.403 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.404 * [taylor]: Taking taylor expansion of phi1 in phi1 0.404 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of 0 in phi2 0.406 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.406 * [taylor]: Taking taylor expansion of phi2 in phi2 0.408 * [taylor]: Taking taylor expansion of 0 in phi2 0.415 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.416 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.416 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.416 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.416 * [taylor]: Taking taylor expansion of phi2 in phi2 0.421 * [taylor]: Taking taylor expansion of 0 in phi2 0.421 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.421 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.421 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.421 * [taylor]: Taking taylor expansion of phi1 in phi2 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.421 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.421 * [taylor]: Taking taylor expansion of phi2 in phi2 0.422 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.422 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.422 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.422 * [taylor]: Taking taylor expansion of phi1 in phi1 0.422 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.422 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.422 * [taylor]: Taking taylor expansion of phi2 in phi1 0.422 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.422 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.422 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.422 * [taylor]: Taking taylor expansion of phi1 in phi1 0.422 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.422 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.422 * [taylor]: Taking taylor expansion of phi2 in phi1 0.423 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.423 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.423 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.423 * [taylor]: Taking taylor expansion of phi1 in phi2 0.423 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.423 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.423 * [taylor]: Taking taylor expansion of phi2 in phi2 0.425 * [taylor]: Taking taylor expansion of 0 in phi2 0.429 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.434 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.434 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.434 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.434 * [taylor]: Taking taylor expansion of -1 in phi2 0.434 * [taylor]: Taking taylor expansion of phi1 in phi2 0.434 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.434 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.434 * [taylor]: Taking taylor expansion of -1 in phi2 0.434 * [taylor]: Taking taylor expansion of phi2 in phi2 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.434 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.434 * [taylor]: Taking taylor expansion of -1 in phi1 0.434 * [taylor]: Taking taylor expansion of phi1 in phi1 0.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.435 * [taylor]: Taking taylor expansion of -1 in phi1 0.435 * [taylor]: Taking taylor expansion of phi2 in phi1 0.435 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.435 * [taylor]: Taking taylor expansion of -1 in phi1 0.435 * [taylor]: Taking taylor expansion of phi1 in phi1 0.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.435 * [taylor]: Taking taylor expansion of -1 in phi1 0.435 * [taylor]: Taking taylor expansion of phi2 in phi1 0.436 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.436 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.436 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.436 * [taylor]: Taking taylor expansion of -1 in phi2 0.436 * [taylor]: Taking taylor expansion of phi1 in phi2 0.436 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.436 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.436 * [taylor]: Taking taylor expansion of -1 in phi2 0.436 * [taylor]: Taking taylor expansion of phi2 in phi2 0.438 * [taylor]: Taking taylor expansion of 0 in phi2 0.442 * [taylor]: Taking taylor expansion of 0 in phi2 0.447 * [taylor]: Taking taylor expansion of 0 in phi2 0.447 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) 0.454 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.458 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.471 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.506 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.510 * [simplify]: Simplified to: (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (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) (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (fma lambda1 (- lambda2 (* 1/2 lambda1)) 1) (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)) 0.510 * * * [progress]: adding candidates to table 0.793 * * [progress]: iteration 2 / 4 0.793 * * * [progress]: picking best candidate 0.848 * * * * [pick]: Picked # 0.848 * * * [progress]: localizing error 0.880 * * * [progress]: generating rewritten candidates 0.880 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.882 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2) 0.894 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.900 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.916 * * * [progress]: generating series expansions 0.916 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.917 * [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 0.917 * [taylor]: Taking 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 0.917 * [taylor]: Taking 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 0.917 * [taylor]: Taking 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 0.918 * [taylor]: Taking 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 0.918 * [taylor]: Taking 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 0.919 * [taylor]: Taking 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 0.919 * [taylor]: Taking 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 0.919 * [taylor]: Taking 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 0.920 * [taylor]: Taking taylor expansion of 0 in phi2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [taylor]: Taking taylor expansion of 0 in phi2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.920 * [taylor]: Taking taylor expansion of 0 in lambda1 0.920 * [taylor]: Taking taylor expansion of 0 in lambda2 0.921 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in phi2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in phi2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in lambda1 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.927 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.927 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.928 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.928 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.929 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.929 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.931 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in phi2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in phi2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in lambda1 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2) 0.933 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 0.933 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.933 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.933 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.933 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.933 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.933 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.933 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.933 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.933 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.933 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.933 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.933 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.933 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.933 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.933 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.936 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.942 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 0.942 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 0.942 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.942 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.942 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.948 * [taylor]: Taking taylor expansion of 0 in lambda2 0.948 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.948 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.948 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.948 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.948 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.948 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.948 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.948 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.948 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.948 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.948 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.948 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.949 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.949 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.949 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.949 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.949 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.949 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.949 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.949 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.949 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.949 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.949 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.950 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.950 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.950 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.950 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.950 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.950 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.952 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.960 * [taylor]: Taking taylor expansion of 0 in lambda2 0.961 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 0.961 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.961 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.961 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.961 * [taylor]: Taking taylor expansion of -1 in lambda2 0.961 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.961 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.961 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.961 * [taylor]: Taking taylor expansion of -1 in lambda2 0.961 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.961 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.961 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.961 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.961 * [taylor]: Taking taylor expansion of -1 in lambda1 0.961 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.962 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.962 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.962 * [taylor]: Taking taylor expansion of -1 in lambda1 0.962 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.962 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.962 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.962 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.962 * [taylor]: Taking taylor expansion of -1 in lambda1 0.962 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.962 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.962 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.962 * [taylor]: Taking taylor expansion of -1 in lambda1 0.962 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.963 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.963 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.963 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.963 * [taylor]: Taking taylor expansion of -1 in lambda2 0.963 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.963 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.963 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.963 * [taylor]: Taking taylor expansion of -1 in lambda2 0.963 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.965 * [taylor]: Taking taylor expansion of 0 in lambda2 0.968 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.974 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.974 * [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 0.974 * [taylor]: Taking 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 0.974 * [taylor]: Taking 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 0.975 * [taylor]: Taking taylor expansion of R in R 0.975 * [taylor]: Taking 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 0.975 * [taylor]: Taking 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 0.975 * [taylor]: Taking taylor expansion of R in lambda2 0.975 * [taylor]: Taking 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 0.975 * [taylor]: Taking 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 0.975 * [taylor]: Taking taylor expansion of R in lambda1 0.976 * [taylor]: Taking 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 0.976 * [taylor]: Taking 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 0.976 * [taylor]: Taking taylor expansion of R in phi2 0.976 * [taylor]: Taking 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 0.976 * [taylor]: Taking 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 0.976 * [taylor]: Taking taylor expansion of R in phi1 0.976 * [taylor]: Taking 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 0.976 * [taylor]: Taking 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 0.977 * [taylor]: Taking taylor expansion of R in phi1 0.977 * [taylor]: Taking 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 0.977 * [taylor]: Taking 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 0.978 * [taylor]: Taking taylor expansion of R in phi2 0.978 * [taylor]: Taking 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 0.978 * [taylor]: Taking 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 0.978 * [taylor]: Taking taylor expansion of R in lambda1 0.979 * [taylor]: Taking 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 0.979 * [taylor]: Taking 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 0.979 * [taylor]: Taking taylor expansion of R in lambda2 0.980 * [taylor]: Taking 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 0.980 * [taylor]: Taking 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 0.980 * [taylor]: Taking taylor expansion of R in R 0.981 * [taylor]: Taking taylor expansion of 0 in phi2 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [taylor]: Taking taylor expansion of 0 in phi2 0.984 * [taylor]: Taking taylor expansion of 0 in lambda1 0.984 * [taylor]: Taking taylor expansion of 0 in lambda2 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [taylor]: Taking taylor expansion of 0 in lambda1 0.984 * [taylor]: Taking taylor expansion of 0 in lambda2 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.985 * [taylor]: Taking taylor expansion of 0 in lambda1 0.985 * [taylor]: Taking taylor expansion of 0 in lambda2 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.985 * [taylor]: Taking taylor expansion of 0 in lambda2 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.985 * [taylor]: Taking taylor expansion of 0 in lambda2 0.985 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in lambda2 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.989 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.989 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.990 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.990 * [taylor]: Taking taylor expansion of R in R 0.991 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.991 * [taylor]: Taking taylor expansion of R in lambda2 0.992 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.992 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.992 * [taylor]: Taking taylor expansion of R in lambda1 0.993 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.993 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.993 * [taylor]: Taking taylor expansion of R in phi2 0.994 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.994 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.994 * [taylor]: Taking taylor expansion of R in phi1 0.995 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.995 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.995 * [taylor]: Taking taylor expansion of R in phi1 0.996 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.996 * [taylor]: Taking taylor expansion of R in phi2 0.997 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.997 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.997 * [taylor]: Taking taylor expansion of R in lambda1 0.998 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.998 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.998 * [taylor]: Taking taylor expansion of R in lambda2 0.999 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.999 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.000 * [taylor]: Taking taylor expansion of R in R 1.001 * [taylor]: Taking taylor expansion of 0 in phi2 1.001 * [taylor]: Taking taylor expansion of 0 in lambda1 1.001 * [taylor]: Taking taylor expansion of 0 in lambda2 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.002 * [taylor]: Taking taylor expansion of 0 in lambda1 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.003 * [taylor]: Taking taylor expansion of 0 in lambda2 1.003 * [taylor]: Taking taylor expansion of 0 in R 1.003 * [taylor]: Taking taylor expansion of 0 in R 1.005 * [taylor]: Taking taylor expansion of 0 in phi2 1.005 * [taylor]: Taking taylor expansion of 0 in lambda1 1.005 * [taylor]: Taking taylor expansion of 0 in lambda2 1.005 * [taylor]: Taking taylor expansion of 0 in R 1.005 * [taylor]: Taking taylor expansion of 0 in lambda1 1.005 * [taylor]: Taking taylor expansion of 0 in lambda2 1.005 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda1 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.007 * [taylor]: Taking taylor expansion of 0 in lambda2 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.011 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.011 * [taylor]: Taking taylor expansion of -1 in R 1.011 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.011 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.011 * [taylor]: Taking taylor expansion of R in R 1.012 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.012 * [taylor]: Taking taylor expansion of -1 in lambda2 1.012 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.012 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.012 * [taylor]: Taking taylor expansion of R in lambda2 1.013 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.013 * [taylor]: Taking taylor expansion of -1 in lambda1 1.013 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.013 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.014 * [taylor]: Taking taylor expansion of R in lambda1 1.014 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.014 * [taylor]: Taking taylor expansion of -1 in phi2 1.014 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.015 * [taylor]: Taking taylor expansion of R in phi2 1.015 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.015 * [taylor]: Taking taylor expansion of -1 in phi1 1.015 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.016 * [taylor]: Taking taylor expansion of R in phi1 1.016 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.016 * [taylor]: Taking taylor expansion of -1 in phi1 1.016 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.017 * [taylor]: Taking taylor expansion of R in phi1 1.018 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.018 * [taylor]: Taking taylor expansion of -1 in phi2 1.018 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.018 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.019 * [taylor]: Taking taylor expansion of R in phi2 1.020 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.020 * [taylor]: Taking taylor expansion of -1 in lambda1 1.020 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.020 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.020 * [taylor]: Taking taylor expansion of R in lambda1 1.021 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.021 * [taylor]: Taking taylor expansion of -1 in lambda2 1.021 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.021 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.022 * [taylor]: Taking taylor expansion of R in lambda2 1.023 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.023 * [taylor]: Taking taylor expansion of -1 in R 1.023 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.023 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.023 * [taylor]: Taking taylor expansion of R in R 1.027 * [taylor]: Taking taylor expansion of 0 in phi2 1.027 * [taylor]: Taking taylor expansion of 0 in lambda1 1.027 * [taylor]: Taking taylor expansion of 0 in lambda2 1.027 * [taylor]: Taking taylor expansion of 0 in R 1.028 * [taylor]: Taking taylor expansion of 0 in lambda1 1.028 * [taylor]: Taking taylor expansion of 0 in lambda2 1.028 * [taylor]: Taking taylor expansion of 0 in R 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [taylor]: Taking taylor expansion of 0 in R 1.031 * [taylor]: Taking taylor expansion of 0 in R 1.035 * [taylor]: Taking taylor expansion of 0 in phi2 1.035 * [taylor]: Taking taylor expansion of 0 in lambda1 1.035 * [taylor]: Taking taylor expansion of 0 in lambda2 1.035 * [taylor]: Taking taylor expansion of 0 in R 1.035 * [taylor]: Taking taylor expansion of 0 in lambda1 1.035 * [taylor]: Taking taylor expansion of 0 in lambda2 1.035 * [taylor]: Taking taylor expansion of 0 in R 1.037 * [taylor]: Taking taylor expansion of 0 in lambda1 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in R 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in R 1.037 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * [taylor]: Taking taylor expansion of 0 in R 1.038 * [taylor]: Taking taylor expansion of 0 in lambda2 1.039 * [taylor]: Taking taylor expansion of 0 in R 1.039 * [taylor]: Taking taylor expansion of 0 in R 1.039 * [taylor]: Taking taylor expansion of 0 in R 1.039 * [taylor]: Taking taylor expansion of 0 in R 1.040 * [taylor]: Taking taylor expansion of 0 in R 1.044 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.044 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.044 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.044 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.044 * [taylor]: Taking taylor expansion of phi1 in phi2 1.044 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.044 * [taylor]: Taking taylor expansion of phi2 in phi2 1.044 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.044 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.044 * [taylor]: Taking taylor expansion of phi1 in phi1 1.044 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.044 * [taylor]: Taking taylor expansion of phi2 in phi1 1.044 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.044 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.044 * [taylor]: Taking taylor expansion of phi1 in phi1 1.044 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.044 * [taylor]: Taking taylor expansion of phi2 in phi1 1.044 * [taylor]: Taking taylor expansion of 0 in phi2 1.046 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.046 * [taylor]: Taking taylor expansion of phi2 in phi2 1.049 * [taylor]: Taking taylor expansion of 0 in phi2 1.053 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.053 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.053 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.053 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.053 * [taylor]: Taking taylor expansion of phi2 in phi2 1.058 * [taylor]: Taking taylor expansion of 0 in phi2 1.058 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.058 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.058 * [taylor]: Taking taylor expansion of phi1 in phi2 1.058 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.058 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.058 * [taylor]: Taking taylor expansion of phi2 in phi2 1.059 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.059 * [taylor]: Taking taylor expansion of phi1 in phi1 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.059 * [taylor]: Taking taylor expansion of phi2 in phi1 1.059 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.059 * [taylor]: Taking taylor expansion of phi1 in phi1 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.059 * [taylor]: Taking taylor expansion of phi2 in phi1 1.060 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.060 * [taylor]: Taking taylor expansion of phi1 in phi2 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.060 * [taylor]: Taking taylor expansion of phi2 in phi2 1.062 * [taylor]: Taking taylor expansion of 0 in phi2 1.065 * [taylor]: Taking taylor expansion of 0 in phi2 1.073 * [taylor]: Taking taylor expansion of 0 in phi2 1.073 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.073 * [taylor]: Taking taylor expansion of -1 in phi2 1.073 * [taylor]: Taking taylor expansion of phi1 in phi2 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.073 * [taylor]: Taking taylor expansion of -1 in phi2 1.073 * [taylor]: Taking taylor expansion of phi2 in phi2 1.074 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of phi1 in phi1 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of phi2 in phi1 1.074 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of phi1 in phi1 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.074 * [taylor]: Taking taylor expansion of -1 in phi1 1.074 * [taylor]: Taking taylor expansion of phi2 in phi1 1.075 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.075 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.075 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.075 * [taylor]: Taking taylor expansion of -1 in phi2 1.075 * [taylor]: Taking taylor expansion of phi1 in phi2 1.075 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.075 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.075 * [taylor]: Taking taylor expansion of -1 in phi2 1.075 * [taylor]: Taking taylor expansion of phi2 in phi2 1.077 * [taylor]: Taking taylor expansion of 0 in phi2 1.081 * [taylor]: Taking taylor expansion of 0 in phi2 1.085 * [taylor]: Taking taylor expansion of 0 in phi2 1.086 * * * [progress]: simplifying candidates 1.087 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 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))))))) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.092 * * [simplify]: iteration 0 : 274 enodes (cost 1015 ) 1.097 * * [simplify]: iteration 1 : 872 enodes (cost 860 ) 1.111 * * [simplify]: iteration 2 : 2115 enodes (cost 860 ) 1.132 * * [simplify]: iteration 3 : 3356 enodes (cost 860 ) 1.161 * * [simplify]: iteration 4 : 5001 enodes (cost 860 ) 1.165 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 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))))))) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (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)))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (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)) 1.165 * * * [progress]: adding candidates to table 1.531 * * [progress]: iteration 3 / 4 1.531 * * * [progress]: picking best candidate 1.600 * * * * [pick]: Picked # 1.600 * * * [progress]: localizing error 1.635 * * * [progress]: generating rewritten candidates 1.635 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.636 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2) 1.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.669 * * * [progress]: generating series expansions 1.669 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.670 * [approximate]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (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 1.670 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.670 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.671 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.671 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.671 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.672 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.672 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.673 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.674 * [taylor]: Taking taylor expansion of 0 in phi2 1.674 * [taylor]: Taking taylor expansion of 0 in lambda1 1.674 * [taylor]: Taking taylor expansion of 0 in lambda2 1.674 * [taylor]: Taking taylor expansion of 0 in lambda1 1.674 * [taylor]: Taking taylor expansion of 0 in lambda2 1.674 * [taylor]: Taking taylor expansion of 0 in lambda2 1.674 * [taylor]: Taking taylor expansion of 0 in phi2 1.674 * [taylor]: Taking taylor expansion of 0 in lambda1 1.674 * [taylor]: Taking taylor expansion of 0 in lambda2 1.674 * [taylor]: Taking taylor expansion of 0 in lambda1 1.674 * [taylor]: Taking taylor expansion of 0 in lambda2 1.675 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.675 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.676 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.676 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.677 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.677 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.678 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.678 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.679 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.680 * [taylor]: Taking taylor expansion of 0 in phi2 1.680 * [taylor]: Taking taylor expansion of 0 in lambda1 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [taylor]: Taking taylor expansion of 0 in lambda1 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [taylor]: Taking taylor expansion of 0 in phi2 1.680 * [taylor]: Taking taylor expansion of 0 in lambda1 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.680 * [taylor]: Taking taylor expansion of 0 in lambda1 1.680 * [taylor]: Taking taylor expansion of 0 in lambda2 1.681 * [approximate]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.681 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 1.682 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 1.682 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 1.683 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 1.684 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 1.684 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 1.685 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 1.685 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 1.687 * [taylor]: Taking taylor expansion of 0 in phi2 1.687 * [taylor]: Taking taylor expansion of 0 in lambda1 1.687 * [taylor]: Taking taylor expansion of 0 in lambda2 1.687 * [taylor]: Taking taylor expansion of 0 in lambda1 1.687 * [taylor]: Taking taylor expansion of 0 in lambda2 1.687 * [taylor]: Taking taylor expansion of 0 in lambda2 1.687 * [taylor]: Taking taylor expansion of 0 in phi2 1.687 * [taylor]: Taking taylor expansion of 0 in lambda1 1.687 * [taylor]: Taking taylor expansion of 0 in lambda2 1.687 * [taylor]: Taking taylor expansion of 0 in lambda1 1.687 * [taylor]: Taking taylor expansion of 0 in lambda2 1.688 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2) 1.688 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.688 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.688 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.688 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.688 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.688 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.688 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.688 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.688 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.688 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.688 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.688 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.688 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.688 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.688 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.688 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.688 * [taylor]: Taking taylor expansion of 0 in lambda2 1.691 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.691 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.693 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.698 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.698 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.698 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.698 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.704 * [taylor]: Taking taylor expansion of 0 in lambda2 1.704 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.704 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.704 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.704 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.704 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.704 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.704 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.704 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.704 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.704 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.704 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.704 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.705 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.705 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.705 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.705 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.705 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.705 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.705 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.705 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.705 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.705 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.706 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.706 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.706 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.706 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.706 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.706 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.706 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.708 * [taylor]: Taking taylor expansion of 0 in lambda2 1.711 * [taylor]: Taking taylor expansion of 0 in lambda2 1.716 * [taylor]: Taking taylor expansion of 0 in lambda2 1.716 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.716 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.716 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.716 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.716 * [taylor]: Taking taylor expansion of -1 in lambda2 1.716 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.717 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.717 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.717 * [taylor]: Taking taylor expansion of -1 in lambda2 1.717 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.717 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.717 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.717 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.717 * [taylor]: Taking taylor expansion of -1 in lambda1 1.717 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.717 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.717 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.717 * [taylor]: Taking taylor expansion of -1 in lambda1 1.717 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.717 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.717 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.717 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.718 * [taylor]: Taking taylor expansion of -1 in lambda1 1.718 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.718 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.718 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.718 * [taylor]: Taking taylor expansion of -1 in lambda1 1.718 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.718 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.718 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.718 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.718 * [taylor]: Taking taylor expansion of -1 in lambda2 1.718 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.718 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.718 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.718 * [taylor]: Taking taylor expansion of -1 in lambda2 1.718 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.720 * [taylor]: Taking taylor expansion of 0 in lambda2 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.733 * [approximate]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (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 1.733 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.733 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.733 * [taylor]: Taking taylor expansion of R in R 1.733 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.733 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.734 * [taylor]: Taking taylor expansion of R in lambda2 1.734 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.734 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.734 * [taylor]: Taking taylor expansion of R in lambda1 1.734 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.734 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.734 * [taylor]: Taking taylor expansion of R in phi2 1.734 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.735 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.735 * [taylor]: Taking taylor expansion of R in phi1 1.735 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.735 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.735 * [taylor]: Taking taylor expansion of R in phi1 1.736 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.736 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.736 * [taylor]: Taking taylor expansion of R in phi2 1.737 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.737 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.737 * [taylor]: Taking taylor expansion of R in lambda1 1.737 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.737 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.738 * [taylor]: Taking taylor expansion of R in lambda2 1.738 * [taylor]: Taking taylor expansion of (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.738 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.739 * [taylor]: Taking taylor expansion of R in R 1.740 * [taylor]: Taking taylor expansion of 0 in phi2 1.740 * [taylor]: Taking taylor expansion of 0 in lambda1 1.740 * [taylor]: Taking taylor expansion of 0 in lambda2 1.740 * [taylor]: Taking taylor expansion of 0 in R 1.740 * [taylor]: Taking taylor expansion of 0 in lambda1 1.740 * [taylor]: Taking taylor expansion of 0 in lambda2 1.740 * [taylor]: Taking taylor expansion of 0 in R 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in R 1.741 * [taylor]: Taking taylor expansion of 0 in R 1.743 * [taylor]: Taking taylor expansion of 0 in phi2 1.743 * [taylor]: Taking taylor expansion of 0 in lambda1 1.743 * [taylor]: Taking taylor expansion of 0 in lambda2 1.743 * [taylor]: Taking taylor expansion of 0 in R 1.743 * [taylor]: Taking taylor expansion of 0 in lambda1 1.743 * [taylor]: Taking taylor expansion of 0 in lambda2 1.743 * [taylor]: Taking taylor expansion of 0 in R 1.744 * [taylor]: Taking taylor expansion of 0 in lambda1 1.744 * [taylor]: Taking taylor expansion of 0 in lambda2 1.744 * [taylor]: Taking taylor expansion of 0 in R 1.744 * [taylor]: Taking taylor expansion of 0 in lambda2 1.744 * [taylor]: Taking taylor expansion of 0 in R 1.744 * [taylor]: Taking taylor expansion of 0 in lambda2 1.744 * [taylor]: Taking taylor expansion of 0 in R 1.745 * [taylor]: Taking taylor expansion of 0 in lambda2 1.745 * [taylor]: Taking taylor expansion of 0 in R 1.746 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.746 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.746 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.747 * [taylor]: Taking taylor expansion of R in R 1.747 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.748 * [taylor]: Taking taylor expansion of R in lambda2 1.748 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.749 * [taylor]: Taking taylor expansion of R in lambda1 1.749 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.750 * [taylor]: Taking taylor expansion of R in phi2 1.751 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.751 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.751 * [taylor]: Taking taylor expansion of R in phi1 1.752 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.752 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.752 * [taylor]: Taking taylor expansion of R in phi1 1.753 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.753 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.753 * [taylor]: Taking taylor expansion of R in phi2 1.754 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.754 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.754 * [taylor]: Taking taylor expansion of R in lambda1 1.755 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.755 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.756 * [taylor]: Taking taylor expansion of R in lambda2 1.756 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.756 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.757 * [taylor]: Taking taylor expansion of R in R 1.758 * [taylor]: Taking taylor expansion of 0 in phi2 1.758 * [taylor]: Taking taylor expansion of 0 in lambda1 1.758 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [taylor]: Taking taylor expansion of 0 in R 1.759 * [taylor]: Taking taylor expansion of 0 in lambda1 1.759 * [taylor]: Taking taylor expansion of 0 in lambda2 1.759 * [taylor]: Taking taylor expansion of 0 in R 1.760 * [taylor]: Taking taylor expansion of 0 in lambda2 1.760 * [taylor]: Taking taylor expansion of 0 in R 1.761 * [taylor]: Taking taylor expansion of 0 in R 1.762 * [taylor]: Taking taylor expansion of 0 in phi2 1.762 * [taylor]: Taking taylor expansion of 0 in lambda1 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.763 * [taylor]: Taking taylor expansion of 0 in lambda1 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.763 * [taylor]: Taking taylor expansion of 0 in lambda1 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.764 * [taylor]: Taking taylor expansion of 0 in lambda2 1.764 * [taylor]: Taking taylor expansion of 0 in R 1.764 * [taylor]: Taking taylor expansion of 0 in R 1.764 * [taylor]: Taking taylor expansion of 0 in R 1.764 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.768 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.768 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in R 1.768 * [taylor]: Taking taylor expansion of -1 in R 1.768 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in R 1.768 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in R 1.769 * [taylor]: Taking taylor expansion of R in R 1.769 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in lambda2 1.769 * [taylor]: Taking taylor expansion of -1 in lambda2 1.769 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in lambda2 1.769 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 1.770 * [taylor]: Taking taylor expansion of R in lambda2 1.771 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in lambda1 1.771 * [taylor]: Taking taylor expansion of -1 in lambda1 1.771 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in lambda1 1.771 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 1.771 * [taylor]: Taking taylor expansion of R in lambda1 1.772 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in phi2 1.772 * [taylor]: Taking taylor expansion of -1 in phi2 1.772 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in phi2 1.772 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 1.772 * [taylor]: Taking taylor expansion of R in phi2 1.773 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in phi1 1.773 * [taylor]: Taking taylor expansion of -1 in phi1 1.773 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in phi1 1.773 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 1.773 * [taylor]: Taking taylor expansion of R in phi1 1.774 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in phi1 1.774 * [taylor]: Taking taylor expansion of -1 in phi1 1.774 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in phi1 1.774 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 1.775 * [taylor]: Taking taylor expansion of R in phi1 1.776 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in phi2 1.776 * [taylor]: Taking taylor expansion of -1 in phi2 1.776 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in phi2 1.776 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 1.776 * [taylor]: Taking taylor expansion of R in phi2 1.778 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in lambda1 1.778 * [taylor]: Taking taylor expansion of -1 in lambda1 1.778 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in lambda1 1.778 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 1.778 * [taylor]: Taking taylor expansion of R in lambda1 1.779 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in lambda2 1.779 * [taylor]: Taking taylor expansion of -1 in lambda2 1.779 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in lambda2 1.779 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 1.780 * [taylor]: Taking taylor expansion of R in lambda2 1.781 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R)) in R 1.781 * [taylor]: Taking taylor expansion of -1 in R 1.781 * [taylor]: Taking taylor expansion of (/ (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) R) in R 1.781 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in R 1.782 * [taylor]: Taking taylor expansion of R in R 1.786 * [taylor]: Taking taylor expansion of 0 in phi2 1.786 * [taylor]: Taking taylor expansion of 0 in lambda1 1.786 * [taylor]: Taking taylor expansion of 0 in lambda2 1.786 * [taylor]: Taking taylor expansion of 0 in R 1.787 * [taylor]: Taking taylor expansion of 0 in lambda1 1.787 * [taylor]: Taking taylor expansion of 0 in lambda2 1.787 * [taylor]: Taking taylor expansion of 0 in R 1.789 * [taylor]: Taking taylor expansion of 0 in lambda2 1.789 * [taylor]: Taking taylor expansion of 0 in R 1.791 * [taylor]: Taking taylor expansion of 0 in R 1.794 * [taylor]: Taking taylor expansion of 0 in phi2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in R 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in lambda1 1.796 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in lambda2 1.797 * [taylor]: Taking taylor expansion of 0 in R 1.798 * [taylor]: Taking taylor expansion of 0 in lambda2 1.798 * [taylor]: Taking taylor expansion of 0 in R 1.798 * [taylor]: Taking taylor expansion of 0 in R 1.798 * [taylor]: Taking taylor expansion of 0 in R 1.798 * [taylor]: Taking taylor expansion of 0 in R 1.800 * [taylor]: Taking taylor expansion of 0 in R 1.804 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.804 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.804 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.804 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.804 * [taylor]: Taking taylor expansion of phi1 in phi2 1.804 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.804 * [taylor]: Taking taylor expansion of phi2 in phi2 1.804 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.804 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.804 * [taylor]: Taking taylor expansion of phi1 in phi1 1.804 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.804 * [taylor]: Taking taylor expansion of phi2 in phi1 1.805 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.805 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.805 * [taylor]: Taking taylor expansion of phi1 in phi1 1.805 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.805 * [taylor]: Taking taylor expansion of phi2 in phi1 1.805 * [taylor]: Taking taylor expansion of 0 in phi2 1.807 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.807 * [taylor]: Taking taylor expansion of phi2 in phi2 1.812 * [taylor]: Taking taylor expansion of 0 in phi2 1.816 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.816 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.816 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.816 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.816 * [taylor]: Taking taylor expansion of phi2 in phi2 1.821 * [taylor]: Taking taylor expansion of 0 in phi2 1.821 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.821 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.821 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.821 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.821 * [taylor]: Taking taylor expansion of phi1 in phi2 1.822 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.822 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.822 * [taylor]: Taking taylor expansion of phi2 in phi2 1.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.822 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.822 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.822 * [taylor]: Taking taylor expansion of phi1 in phi1 1.822 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.822 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.822 * [taylor]: Taking taylor expansion of phi2 in phi1 1.822 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.822 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.822 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.822 * [taylor]: Taking taylor expansion of phi1 in phi1 1.823 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.823 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.823 * [taylor]: Taking taylor expansion of phi2 in phi1 1.823 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.823 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.823 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.823 * [taylor]: Taking taylor expansion of phi1 in phi2 1.823 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.823 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.823 * [taylor]: Taking taylor expansion of phi2 in phi2 1.825 * [taylor]: Taking taylor expansion of 0 in phi2 1.829 * [taylor]: Taking taylor expansion of 0 in phi2 1.834 * [taylor]: Taking taylor expansion of 0 in phi2 1.834 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.834 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.834 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.834 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.834 * [taylor]: Taking taylor expansion of -1 in phi2 1.834 * [taylor]: Taking taylor expansion of phi1 in phi2 1.834 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.834 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.834 * [taylor]: Taking taylor expansion of -1 in phi2 1.834 * [taylor]: Taking taylor expansion of phi2 in phi2 1.834 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.834 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.834 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.834 * [taylor]: Taking taylor expansion of -1 in phi1 1.835 * [taylor]: Taking taylor expansion of phi1 in phi1 1.835 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.835 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.835 * [taylor]: Taking taylor expansion of -1 in phi1 1.835 * [taylor]: Taking taylor expansion of phi2 in phi1 1.835 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.835 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.835 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.835 * [taylor]: Taking taylor expansion of -1 in phi1 1.835 * [taylor]: Taking taylor expansion of phi1 in phi1 1.835 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.835 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.835 * [taylor]: Taking taylor expansion of -1 in phi1 1.835 * [taylor]: Taking taylor expansion of phi2 in phi1 1.836 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.836 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.836 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.836 * [taylor]: Taking taylor expansion of -1 in phi2 1.836 * [taylor]: Taking taylor expansion of phi1 in phi2 1.836 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.836 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.836 * [taylor]: Taking taylor expansion of -1 in phi2 1.836 * [taylor]: Taking taylor expansion of phi2 in phi2 1.838 * [taylor]: Taking taylor expansion of 0 in phi2 1.842 * [taylor]: Taking taylor expansion of 0 in phi2 1.847 * [taylor]: Taking taylor expansion of 0 in phi2 1.847 * * * [progress]: simplifying candidates 1.848 * [simplify]: Simplifying using # : (expm1 (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (expm1 (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.855 * * [simplify]: iteration 0 : 264 enodes (cost 1103 ) 1.859 * * [simplify]: iteration 1 : 862 enodes (cost 936 ) 1.873 * * [simplify]: iteration 2 : 2101 enodes (cost 936 ) 1.896 * * [simplify]: iteration 3 : 3342 enodes (cost 936 ) 1.925 * * [simplify]: iteration 4 : 5002 enodes (cost 936 ) 1.929 * [simplify]: Simplified to: (expm1 (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (expm1 (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (log1p (expm1 (* (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)) 1.929 * * * [progress]: adding candidates to table 2.335 * * [progress]: iteration 4 / 4 2.335 * * * [progress]: picking best candidate 2.402 * * * * [pick]: Picked # 2.402 * * * [progress]: localizing error 2.442 * * * [progress]: generating rewritten candidates 2.442 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.443 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.447 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.450 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 2.465 * * * [progress]: generating series expansions 2.465 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.465 * [approximate]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.465 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.466 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.466 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.466 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.467 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.467 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.468 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.468 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.469 * [taylor]: Taking taylor expansion of 0 in phi2 2.469 * [taylor]: Taking taylor expansion of 0 in lambda1 2.469 * [taylor]: Taking taylor expansion of 0 in lambda2 2.469 * [taylor]: Taking taylor expansion of 0 in lambda1 2.469 * [taylor]: Taking taylor expansion of 0 in lambda2 2.469 * [taylor]: Taking taylor expansion of 0 in lambda2 2.469 * [taylor]: Taking taylor expansion of 0 in phi2 2.469 * [taylor]: Taking taylor expansion of 0 in lambda1 2.469 * [taylor]: Taking taylor expansion of 0 in lambda2 2.469 * [taylor]: Taking taylor expansion of 0 in lambda1 2.469 * [taylor]: Taking taylor expansion of 0 in lambda2 2.470 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (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 2.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.473 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.473 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.474 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.475 * [taylor]: Taking taylor expansion of 0 in phi2 2.475 * [taylor]: Taking taylor expansion of 0 in lambda1 2.475 * [taylor]: Taking taylor expansion of 0 in lambda2 2.475 * [taylor]: Taking taylor expansion of 0 in lambda1 2.475 * [taylor]: Taking taylor expansion of 0 in lambda2 2.475 * [taylor]: Taking taylor expansion of 0 in lambda2 2.475 * [taylor]: Taking taylor expansion of 0 in phi2 2.475 * [taylor]: Taking taylor expansion of 0 in lambda1 2.475 * [taylor]: Taking taylor expansion of 0 in lambda2 2.475 * [taylor]: Taking taylor expansion of 0 in lambda1 2.475 * [taylor]: Taking taylor expansion of 0 in lambda2 2.477 * [approximate]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.477 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 2.477 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 2.478 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 2.478 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 2.479 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 2.479 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 2.480 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 2.480 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 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 lambda1 2.482 * [taylor]: Taking taylor expansion of 0 in lambda2 2.482 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 2.482 * [taylor]: Taking taylor expansion of 0 in lambda2 2.483 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.483 * [approximate]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.483 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.484 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.484 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.484 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.485 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.485 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.486 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.486 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.487 * [taylor]: Taking taylor expansion of 0 in phi2 2.487 * [taylor]: Taking taylor expansion of 0 in lambda1 2.487 * [taylor]: Taking taylor expansion of 0 in lambda2 2.487 * [taylor]: Taking taylor expansion of 0 in lambda1 2.487 * [taylor]: Taking taylor expansion of 0 in lambda2 2.487 * [taylor]: Taking taylor expansion of 0 in lambda2 2.487 * [taylor]: Taking taylor expansion of 0 in phi2 2.487 * [taylor]: Taking taylor expansion of 0 in lambda1 2.487 * [taylor]: Taking taylor expansion of 0 in lambda2 2.487 * [taylor]: Taking taylor expansion of 0 in lambda1 2.487 * [taylor]: Taking taylor expansion of 0 in lambda2 2.488 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (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 2.488 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.489 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.489 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.490 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.490 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.491 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.491 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.492 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.493 * [taylor]: Taking taylor expansion of 0 in phi2 2.493 * [taylor]: Taking taylor expansion of 0 in lambda1 2.493 * [taylor]: Taking taylor expansion of 0 in lambda2 2.493 * [taylor]: Taking taylor expansion of 0 in lambda1 2.493 * [taylor]: Taking taylor expansion of 0 in lambda2 2.493 * [taylor]: Taking taylor expansion of 0 in lambda2 2.493 * [taylor]: Taking taylor expansion of 0 in phi2 2.493 * [taylor]: Taking taylor expansion of 0 in lambda1 2.493 * [taylor]: Taking taylor expansion of 0 in lambda2 2.493 * [taylor]: Taking taylor expansion of 0 in lambda1 2.493 * [taylor]: Taking taylor expansion of 0 in lambda2 2.495 * [approximate]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.495 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 2.495 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 2.496 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 2.496 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 2.497 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 2.497 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 2.498 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 2.499 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 2.500 * [taylor]: Taking taylor expansion of 0 in phi2 2.500 * [taylor]: Taking taylor expansion of 0 in lambda1 2.500 * [taylor]: Taking taylor expansion of 0 in lambda2 2.500 * [taylor]: Taking taylor expansion of 0 in lambda1 2.500 * [taylor]: Taking taylor expansion of 0 in lambda2 2.500 * [taylor]: Taking taylor expansion of 0 in lambda2 2.500 * [taylor]: Taking taylor expansion of 0 in phi2 2.500 * [taylor]: Taking taylor expansion of 0 in lambda1 2.500 * [taylor]: Taking taylor expansion of 0 in lambda2 2.500 * [taylor]: Taking taylor expansion of 0 in lambda1 2.500 * [taylor]: Taking taylor expansion of 0 in lambda2 2.501 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.501 * [approximate]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.501 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.501 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.502 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.502 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.503 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.503 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.504 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.504 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.505 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 2.505 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.506 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 2.506 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.506 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 2.506 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.507 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 2.507 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.510 * [taylor]: Taking taylor expansion of 0 in phi2 2.510 * [taylor]: Taking taylor expansion of 0 in lambda1 2.510 * [taylor]: Taking taylor expansion of 0 in lambda2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.512 * [taylor]: Taking taylor expansion of 0 in lambda2 2.514 * [taylor]: Taking taylor expansion of 0 in phi2 2.514 * [taylor]: Taking taylor expansion of 0 in lambda1 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.514 * [taylor]: Taking taylor expansion of 0 in lambda1 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.515 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (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 2.515 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.515 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.516 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.516 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.517 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.517 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.518 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.518 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.519 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 2.519 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 2.520 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 2.521 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 2.522 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 2.522 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 2.523 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 2.523 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 2.526 * [taylor]: Taking taylor expansion of 0 in phi2 2.526 * [taylor]: Taking taylor expansion of 0 in lambda1 2.526 * [taylor]: Taking taylor expansion of 0 in lambda2 2.527 * [taylor]: Taking taylor expansion of 0 in lambda1 2.527 * [taylor]: Taking taylor expansion of 0 in lambda2 2.528 * [taylor]: Taking taylor expansion of 0 in lambda2 2.531 * [taylor]: Taking taylor expansion of 0 in phi2 2.531 * [taylor]: Taking taylor expansion of 0 in lambda1 2.531 * [taylor]: Taking taylor expansion of 0 in lambda2 2.531 * [taylor]: Taking taylor expansion of 0 in lambda1 2.531 * [taylor]: Taking taylor expansion of 0 in lambda2 2.532 * [approximate]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.532 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in lambda2 2.532 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 2.533 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in lambda1 2.533 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 2.534 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in phi2 2.534 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 2.535 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in phi1 2.535 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 2.537 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in phi1 2.537 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi1 2.538 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in phi2 2.538 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in phi2 2.539 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in lambda1 2.539 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda1 2.540 * [taylor]: Taking taylor expansion of (exp (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))))) in lambda2 2.540 * [taylor]: Taking taylor expansion of (acos (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))))) in lambda2 2.543 * [taylor]: Taking taylor expansion of 0 in phi2 2.543 * [taylor]: Taking taylor expansion of 0 in lambda1 2.543 * [taylor]: Taking taylor expansion of 0 in lambda2 2.544 * [taylor]: Taking taylor expansion of 0 in lambda1 2.544 * [taylor]: Taking taylor expansion of 0 in lambda2 2.545 * [taylor]: Taking taylor expansion of 0 in lambda2 2.550 * [taylor]: Taking taylor expansion of 0 in phi2 2.550 * [taylor]: Taking taylor expansion of 0 in lambda1 2.550 * [taylor]: Taking taylor expansion of 0 in lambda2 2.550 * [taylor]: Taking taylor expansion of 0 in lambda1 2.550 * [taylor]: Taking taylor expansion of 0 in lambda2 2.551 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2 2 2) 2.551 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.551 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.551 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.551 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.551 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.551 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.552 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.552 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.552 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.552 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.552 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.552 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 2.552 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.552 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.552 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.552 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.552 * [taylor]: Taking taylor expansion of 0 in lambda2 2.554 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.554 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.557 * [taylor]: Taking taylor expansion of 0 in lambda2 2.561 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 2.561 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.561 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.561 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.561 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.566 * [taylor]: Taking taylor expansion of 0 in lambda2 2.567 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.567 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.567 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.567 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.567 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.567 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.567 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.567 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.567 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.567 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.567 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.567 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.567 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.567 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.567 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.568 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.568 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.568 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.568 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.568 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.568 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.568 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.568 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.568 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.568 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.568 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.568 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.568 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.568 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.570 * [taylor]: Taking taylor expansion of 0 in lambda2 2.574 * [taylor]: Taking taylor expansion of 0 in lambda2 2.579 * [taylor]: Taking taylor expansion of 0 in lambda2 2.579 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.579 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.579 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.579 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.579 * [taylor]: Taking taylor expansion of -1 in lambda2 2.580 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.580 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.580 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.580 * [taylor]: Taking taylor expansion of -1 in lambda2 2.580 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.580 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.580 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.580 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.580 * [taylor]: Taking taylor expansion of -1 in lambda1 2.580 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.580 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.580 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.580 * [taylor]: Taking taylor expansion of -1 in lambda1 2.580 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.580 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.580 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.581 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.581 * [taylor]: Taking taylor expansion of -1 in lambda1 2.581 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.581 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.581 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.581 * [taylor]: Taking taylor expansion of -1 in lambda1 2.581 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.581 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.581 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.581 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.581 * [taylor]: Taking taylor expansion of -1 in lambda2 2.581 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.581 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.581 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.581 * [taylor]: Taking taylor expansion of -1 in lambda2 2.581 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.583 * [taylor]: Taking taylor expansion of 0 in lambda2 2.587 * [taylor]: Taking taylor expansion of 0 in lambda2 2.592 * [taylor]: Taking taylor expansion of 0 in lambda2 2.592 * * * [progress]: simplifying candidates 2.593 * [simplify]: Simplifying using # : (expm1 (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (expm1 (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log1p (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (* (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (expm1 (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log1p (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 2.599 * * [simplify]: iteration 0 : 190 enodes (cost 1324 ) 2.602 * * [simplify]: iteration 1 : 489 enodes (cost 1141 ) 2.610 * * [simplify]: iteration 2 : 1152 enodes (cost 1141 ) 2.623 * * [simplify]: iteration 3 : 1916 enodes (cost 1141 ) 2.643 * * [simplify]: iteration 4 : 3715 enodes (cost 1141 ) 2.685 * * [simplify]: iteration 5 : 5001 enodes (cost 1141 ) 2.689 * [simplify]: Simplified to: (expm1 (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin 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lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1 (log (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin 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(expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log1p (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (* (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) E (exp (/ PI 2)) (exp (asin (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 2.690 * * * [progress]: adding candidates to table 3.091 * [progress]: [Phase 3 of 3] Extracting. 3.091 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 3.111 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.111 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # #) 3.222 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # #) 3.334 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 3.448 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 3.561 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 3.675 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 3.787 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 3.898 * * * [regime]: Found split indices: #