10.124 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.256 * * * [progress]: [2/2] Setting up program. 0.260 * [progress]: [Phase 2 of 3] Improving. 0.261 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.263 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.264 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.266 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.267 * * [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) 0.269 * * [progress]: iteration 1 / 4 0.269 * * * [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) 0.303 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.303 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.306 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.312 * * * [progress]: generating series expansions 0.312 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.312 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.312 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.312 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.312 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.312 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.312 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.313 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.313 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.313 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.313 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.313 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.313 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.316 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.316 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.316 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.316 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.320 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.320 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.320 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.320 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.320 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.320 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.322 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.322 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.322 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.322 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.323 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.323 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.323 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.323 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.323 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.323 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.325 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [taylor]: Taking taylor expansion of 0 in lambda2 0.326 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.326 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.328 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.328 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.329 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.334 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in phi2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda1 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda1 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in phi2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda1 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda1 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [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 0.338 * [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 0.338 * [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 0.339 * [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 0.339 * [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 0.339 * [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 0.339 * [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 0.340 * [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 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of 0 in phi2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda1 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda1 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in phi2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda1 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [taylor]: Taking taylor expansion of 0 in lambda1 0.341 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * [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 0.341 * [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 0.342 * [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 0.342 * [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 0.342 * [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 0.342 * [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 0.343 * [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 0.343 * [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 0.343 * [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 0.344 * [taylor]: Taking taylor expansion of 0 in phi2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda1 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda1 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in phi2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda1 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda1 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.345 * [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 0.345 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.345 * [taylor]: Taking taylor expansion of R in R 0.345 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.345 * [taylor]: Taking taylor expansion of R in lambda2 0.345 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.346 * [taylor]: Taking taylor expansion of R in lambda1 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.346 * [taylor]: Taking taylor expansion of R in phi2 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.346 * [taylor]: Taking taylor expansion of R in phi1 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.346 * [taylor]: Taking taylor expansion of R in phi1 0.346 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.347 * [taylor]: Taking taylor expansion of R in phi2 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.347 * [taylor]: Taking taylor expansion of R in lambda1 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.347 * [taylor]: Taking taylor expansion of R in lambda2 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.348 * [taylor]: Taking taylor expansion of R in R 0.348 * [taylor]: Taking taylor expansion of 0 in phi2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda1 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in R 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in R 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in R 0.349 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [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 0.353 * [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 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of R in R 0.353 * [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 0.353 * [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 R 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))))))) R) in lambda1 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 0.354 * [taylor]: Taking taylor expansion of R 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))))))) R) 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 phi2 0.355 * [taylor]: Taking taylor expansion of R 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))))))) R) 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 R in phi1 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))))))) R) in phi1 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 phi1 0.356 * [taylor]: Taking taylor expansion of R in phi1 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))))))) R) 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 phi2 0.357 * [taylor]: Taking taylor expansion of R in phi2 0.357 * [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 0.357 * [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 0.357 * [taylor]: Taking taylor expansion of R in lambda1 0.357 * [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 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of R in lambda2 0.358 * [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 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of R in R 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in R 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in phi2 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda1 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.362 * [taylor]: Taking taylor expansion of 0 in R 0.362 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.363 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [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 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of -1 in R 0.366 * [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 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of R in R 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of -1 in lambda2 0.366 * [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 0.366 * [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 0.367 * [taylor]: Taking taylor expansion of R in lambda2 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of -1 in lambda1 0.367 * [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 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of R in lambda1 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of -1 in phi2 0.368 * [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 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of R in phi2 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of -1 in phi1 0.368 * [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 0.368 * [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 0.369 * [taylor]: Taking taylor expansion of R in phi1 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of -1 in phi1 0.369 * [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 0.369 * [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 0.369 * [taylor]: Taking taylor expansion of R in phi1 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of -1 in phi2 0.370 * [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 0.370 * [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 0.370 * [taylor]: Taking taylor expansion of R in phi2 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of -1 in lambda1 0.371 * [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 0.371 * [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 0.371 * [taylor]: Taking taylor expansion of R in lambda1 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of -1 in lambda2 0.372 * [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 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of R in lambda2 0.372 * [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 0.372 * [taylor]: Taking taylor expansion of -1 in R 0.372 * [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 0.372 * [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 0.373 * [taylor]: Taking taylor expansion of R in R 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [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 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in phi2 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.387 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.387 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.387 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.387 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.387 * [taylor]: Taking taylor expansion of phi1 in phi2 0.387 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.387 * [taylor]: Taking taylor expansion of phi2 in phi2 0.387 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.388 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.388 * [taylor]: Taking taylor expansion of phi1 in phi1 0.388 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.388 * [taylor]: Taking taylor expansion of phi2 in phi1 0.388 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.388 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.388 * [taylor]: Taking taylor expansion of phi1 in phi1 0.388 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.388 * [taylor]: Taking taylor expansion of phi2 in phi1 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.390 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.390 * [taylor]: Taking taylor expansion of phi2 in phi2 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.397 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.397 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.397 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.397 * [taylor]: Taking taylor expansion of phi2 in phi2 0.403 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.403 * [taylor]: Taking taylor expansion of phi1 in phi2 0.403 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.403 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.403 * [taylor]: Taking taylor expansion of phi2 in phi2 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.404 * [taylor]: Taking taylor expansion of phi1 in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.404 * [taylor]: Taking taylor expansion of phi1 in phi1 0.404 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.404 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.404 * [taylor]: Taking taylor expansion of phi2 in phi1 0.405 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.405 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.405 * [taylor]: Taking taylor expansion of phi1 in phi2 0.405 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.405 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.405 * [taylor]: Taking taylor expansion of phi2 in phi2 0.407 * [taylor]: Taking taylor expansion of 0 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.416 * [taylor]: Taking taylor expansion of 0 in phi2 0.416 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.417 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.417 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.417 * [taylor]: Taking taylor expansion of -1 in phi2 0.417 * [taylor]: Taking taylor expansion of phi1 in phi2 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.417 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.417 * [taylor]: Taking taylor expansion of -1 in phi2 0.417 * [taylor]: Taking taylor expansion of phi2 in phi2 0.417 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.417 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.417 * [taylor]: Taking taylor expansion of -1 in phi1 0.417 * [taylor]: Taking taylor expansion of phi1 in phi1 0.417 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.417 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.417 * [taylor]: Taking taylor expansion of -1 in phi1 0.417 * [taylor]: Taking taylor expansion of phi2 in phi1 0.418 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [taylor]: Taking taylor expansion of phi1 in phi1 0.418 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.418 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [taylor]: Taking taylor expansion of phi2 in phi1 0.422 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.422 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.422 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.422 * [taylor]: Taking taylor expansion of -1 in phi2 0.422 * [taylor]: Taking taylor expansion of phi1 in phi2 0.422 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.422 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.422 * [taylor]: Taking taylor expansion of -1 in phi2 0.422 * [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 0.434 * [taylor]: Taking taylor expansion of 0 in phi2 0.434 * * * [progress]: simplifying candidates 0.435 * [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)) 0.441 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.445 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.458 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.493 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.497 * [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)) 0.497 * * * [progress]: adding candidates to table 0.795 * * [progress]: iteration 2 / 4 0.795 * * * [progress]: picking best candidate 0.852 * * * * [pick]: Picked # 0.852 * * * [progress]: localizing error 0.886 * * * [progress]: generating rewritten candidates 0.886 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.886 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.889 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.893 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.901 * * * [progress]: generating series expansions 0.901 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.902 * [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 0.902 * [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 0.902 * [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 0.902 * [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 0.903 * [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 0.903 * [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 0.904 * [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 0.904 * [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 0.904 * [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 0.905 * [taylor]: Taking taylor expansion of 0 in phi2 0.905 * [taylor]: Taking taylor expansion of 0 in lambda1 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.905 * [taylor]: Taking taylor expansion of 0 in lambda1 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.905 * [taylor]: Taking taylor expansion of 0 in phi2 0.905 * [taylor]: Taking taylor expansion of 0 in lambda1 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.905 * [taylor]: Taking taylor expansion of 0 in lambda1 0.905 * [taylor]: Taking taylor expansion of 0 in lambda2 0.906 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.906 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.907 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.907 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.908 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.908 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.909 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.909 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.910 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in phi2 0.911 * [taylor]: Taking taylor expansion of 0 in lambda1 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in lambda1 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in phi2 0.911 * [taylor]: Taking taylor expansion of 0 in lambda1 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in lambda1 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.912 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.912 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.913 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.913 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.914 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.915 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.915 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.916 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.916 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in phi2 0.917 * [taylor]: Taking taylor expansion of 0 in lambda1 0.917 * [taylor]: Taking taylor expansion of 0 in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in lambda1 0.917 * [taylor]: Taking taylor expansion of 0 in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in phi2 0.917 * [taylor]: Taking taylor expansion of 0 in lambda1 0.917 * [taylor]: Taking taylor expansion of 0 in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in lambda1 0.918 * [taylor]: Taking taylor expansion of 0 in lambda2 0.918 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.919 * [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 0.919 * [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))))))) R) in R 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 R 0.919 * [taylor]: Taking taylor expansion of R in R 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))))))) R) in lambda2 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 0.919 * [taylor]: Taking taylor expansion of R in lambda2 0.920 * [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 0.920 * [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 0.920 * [taylor]: Taking taylor expansion of R in lambda1 0.920 * [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 0.920 * [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 0.920 * [taylor]: Taking taylor expansion of R in phi2 0.920 * [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 0.920 * [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 0.921 * [taylor]: Taking taylor expansion of R in phi1 0.921 * [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 0.921 * [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 0.921 * [taylor]: Taking taylor expansion of R in phi1 0.922 * [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 0.922 * [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 0.922 * [taylor]: Taking taylor expansion of R in phi2 0.922 * [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 0.922 * [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 0.923 * [taylor]: Taking taylor expansion of R in lambda1 0.923 * [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 0.923 * [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 0.924 * [taylor]: Taking taylor expansion of R in lambda2 0.924 * [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 0.924 * [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 0.924 * [taylor]: Taking taylor expansion of R in R 0.925 * [taylor]: Taking taylor expansion of 0 in phi2 0.925 * [taylor]: Taking taylor expansion of 0 in lambda1 0.925 * [taylor]: Taking taylor expansion of 0 in lambda2 0.925 * [taylor]: Taking taylor expansion of 0 in R 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 R 0.926 * [taylor]: Taking taylor expansion of 0 in lambda2 0.926 * [taylor]: Taking taylor expansion of 0 in R 0.927 * [taylor]: Taking taylor expansion of 0 in R 0.929 * [taylor]: Taking taylor expansion of 0 in phi2 0.929 * [taylor]: Taking taylor expansion of 0 in lambda1 0.929 * [taylor]: Taking taylor expansion of 0 in lambda2 0.929 * [taylor]: Taking taylor expansion of 0 in R 0.929 * [taylor]: Taking taylor expansion of 0 in lambda1 0.929 * [taylor]: Taking taylor expansion of 0 in lambda2 0.929 * [taylor]: Taking taylor expansion of 0 in R 0.930 * [taylor]: Taking taylor expansion of 0 in lambda1 0.930 * [taylor]: Taking taylor expansion of 0 in lambda2 0.930 * [taylor]: Taking taylor expansion of 0 in R 0.930 * [taylor]: Taking taylor expansion of 0 in lambda2 0.930 * [taylor]: Taking taylor expansion of 0 in R 0.930 * [taylor]: Taking taylor expansion of 0 in lambda2 0.930 * [taylor]: Taking taylor expansion of 0 in R 0.930 * [taylor]: Taking taylor expansion of 0 in lambda2 0.930 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.935 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.935 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.935 * [taylor]: Taking taylor expansion of R in R 0.936 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.936 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.936 * [taylor]: Taking taylor expansion of R in lambda2 0.937 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.937 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.938 * [taylor]: Taking taylor expansion of R in lambda1 0.938 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.938 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.939 * [taylor]: Taking taylor expansion of R in phi2 0.939 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.939 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.940 * [taylor]: Taking taylor expansion of R in phi1 0.940 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.940 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.941 * [taylor]: Taking taylor expansion of R in phi1 0.941 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.941 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.942 * [taylor]: Taking taylor expansion of R in phi2 0.942 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.942 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.943 * [taylor]: Taking taylor expansion of R in lambda1 0.943 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.944 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.944 * [taylor]: Taking taylor expansion of R in lambda2 0.945 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.945 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.945 * [taylor]: Taking taylor expansion of R in R 0.947 * [taylor]: Taking taylor expansion of 0 in phi2 0.947 * [taylor]: Taking taylor expansion of 0 in lambda1 0.947 * [taylor]: Taking taylor expansion of 0 in lambda2 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.948 * [taylor]: Taking taylor expansion of 0 in lambda1 0.948 * [taylor]: Taking taylor expansion of 0 in lambda2 0.948 * [taylor]: Taking taylor expansion of 0 in R 0.949 * [taylor]: Taking taylor expansion of 0 in lambda2 0.949 * [taylor]: Taking taylor expansion of 0 in R 0.949 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in phi2 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.952 * [taylor]: Taking taylor expansion of 0 in lambda1 0.952 * [taylor]: Taking taylor expansion of 0 in lambda2 0.952 * [taylor]: Taking taylor expansion of 0 in R 0.952 * [taylor]: Taking taylor expansion of 0 in lambda2 0.952 * [taylor]: Taking taylor expansion of 0 in R 0.952 * [taylor]: Taking taylor expansion of 0 in lambda2 0.952 * [taylor]: Taking taylor expansion of 0 in R 0.953 * [taylor]: Taking taylor expansion of 0 in lambda2 0.953 * [taylor]: Taking taylor expansion of 0 in R 0.953 * [taylor]: Taking taylor expansion of 0 in R 0.953 * [taylor]: Taking taylor expansion of 0 in R 0.953 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.957 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.957 * [taylor]: Taking taylor expansion of -1 in R 0.957 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.957 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.958 * [taylor]: Taking taylor expansion of R in R 0.958 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.958 * [taylor]: Taking taylor expansion of -1 in lambda2 0.958 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.958 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.959 * [taylor]: Taking taylor expansion of R in lambda2 0.959 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.959 * [taylor]: Taking taylor expansion of -1 in lambda1 0.959 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.959 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.960 * [taylor]: Taking taylor expansion of R in lambda1 0.960 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.960 * [taylor]: Taking taylor expansion of -1 in phi2 0.960 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.960 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.961 * [taylor]: Taking taylor expansion of R in phi2 0.961 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.961 * [taylor]: Taking taylor expansion of -1 in phi1 0.961 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.961 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.962 * [taylor]: Taking taylor expansion of R in phi1 0.963 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 0.963 * [taylor]: Taking taylor expansion of -1 in phi1 0.963 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 0.963 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.963 * [taylor]: Taking taylor expansion of R in phi1 0.964 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 0.964 * [taylor]: Taking taylor expansion of -1 in phi2 0.964 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 0.964 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.965 * [taylor]: Taking taylor expansion of R in phi2 0.966 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 0.966 * [taylor]: Taking taylor expansion of -1 in lambda1 0.966 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 0.966 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.966 * [taylor]: Taking taylor expansion of R in lambda1 0.967 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 0.967 * [taylor]: Taking taylor expansion of -1 in lambda2 0.967 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 0.968 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.968 * [taylor]: Taking taylor expansion of R in lambda2 0.969 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 0.969 * [taylor]: Taking taylor expansion of -1 in R 0.969 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 0.969 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 0.970 * [taylor]: Taking taylor expansion of R in R 0.973 * [taylor]: Taking taylor expansion of 0 in phi2 0.973 * [taylor]: Taking taylor expansion of 0 in lambda1 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.975 * [taylor]: Taking taylor expansion of 0 in lambda1 0.975 * [taylor]: Taking taylor expansion of 0 in lambda2 0.975 * [taylor]: Taking taylor expansion of 0 in R 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [taylor]: Taking taylor expansion of 0 in phi2 0.982 * [taylor]: Taking taylor expansion of 0 in lambda1 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [taylor]: Taking taylor expansion of 0 in lambda1 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [taylor]: Taking taylor expansion of 0 in 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 lambda2 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.984 * [taylor]: Taking taylor expansion of 0 in lambda2 0.984 * [taylor]: Taking taylor expansion of 0 in R 0.986 * [taylor]: Taking taylor expansion of 0 in lambda2 0.986 * [taylor]: Taking taylor expansion of 0 in R 0.986 * [taylor]: Taking taylor expansion of 0 in R 0.986 * [taylor]: Taking taylor expansion of 0 in R 0.986 * [taylor]: Taking taylor expansion of 0 in R 0.988 * [taylor]: Taking taylor expansion of 0 in R 0.991 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.992 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.992 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.992 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.992 * [taylor]: Taking taylor expansion of phi1 in phi2 0.992 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.992 * [taylor]: Taking taylor expansion of phi2 in phi2 0.992 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.992 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.992 * [taylor]: Taking taylor expansion of phi1 in phi1 0.992 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.992 * [taylor]: Taking taylor expansion of phi2 in phi1 0.992 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.992 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.992 * [taylor]: Taking taylor expansion of phi1 in phi1 0.992 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.992 * [taylor]: Taking taylor expansion of phi2 in phi1 0.992 * [taylor]: Taking taylor expansion of 0 in phi2 0.994 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.994 * [taylor]: Taking taylor expansion of phi2 in phi2 0.998 * [taylor]: Taking taylor expansion of 0 in phi2 1.002 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.002 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.002 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.002 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.002 * [taylor]: Taking taylor expansion of phi2 in phi2 1.008 * [taylor]: Taking taylor expansion of 0 in phi2 1.008 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.008 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.008 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.008 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.008 * [taylor]: Taking taylor expansion of phi1 in phi2 1.008 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.008 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.008 * [taylor]: Taking taylor expansion of phi2 in phi2 1.009 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.009 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.009 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.009 * [taylor]: Taking taylor expansion of phi1 in phi1 1.009 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.009 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.009 * [taylor]: Taking taylor expansion of phi2 in phi1 1.009 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.009 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.009 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.009 * [taylor]: Taking taylor expansion of phi1 in phi1 1.010 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.010 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.010 * [taylor]: Taking taylor expansion of phi2 in phi1 1.010 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.010 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.010 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.010 * [taylor]: Taking taylor expansion of phi1 in phi2 1.010 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.010 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.010 * [taylor]: Taking taylor expansion of phi2 in phi2 1.012 * [taylor]: Taking taylor expansion of 0 in phi2 1.020 * [taylor]: Taking taylor expansion of 0 in phi2 1.025 * [taylor]: Taking taylor expansion of 0 in phi2 1.025 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.025 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.026 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.026 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.026 * [taylor]: Taking taylor expansion of -1 in phi2 1.026 * [taylor]: Taking taylor expansion of phi1 in phi2 1.026 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.026 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.026 * [taylor]: Taking taylor expansion of -1 in phi2 1.026 * [taylor]: Taking taylor expansion of phi2 in phi2 1.026 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.026 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.026 * [taylor]: Taking taylor expansion of -1 in phi1 1.026 * [taylor]: Taking taylor expansion of phi1 in phi1 1.026 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.026 * [taylor]: Taking taylor expansion of -1 in phi1 1.026 * [taylor]: Taking taylor expansion of phi2 in phi1 1.027 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.027 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.027 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.027 * [taylor]: Taking taylor expansion of -1 in phi1 1.027 * [taylor]: Taking taylor expansion of phi1 in phi1 1.027 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.027 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.027 * [taylor]: Taking taylor expansion of -1 in phi1 1.027 * [taylor]: Taking taylor expansion of phi2 in phi1 1.027 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.027 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.027 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.027 * [taylor]: Taking taylor expansion of -1 in phi2 1.027 * [taylor]: Taking taylor expansion of phi1 in phi2 1.028 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.028 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.028 * [taylor]: Taking taylor expansion of -1 in phi2 1.028 * [taylor]: Taking taylor expansion of phi2 in phi2 1.030 * [taylor]: Taking taylor expansion of 0 in phi2 1.034 * [taylor]: Taking taylor expansion of 0 in phi2 1.039 * [taylor]: Taking taylor expansion of 0 in phi2 1.039 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.039 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.039 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.039 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.040 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.040 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.040 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.040 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.040 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.040 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.040 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.040 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.040 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.040 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.040 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.040 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.040 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.040 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.040 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.040 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.041 * [taylor]: Taking taylor expansion of 0 in lambda2 1.043 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.043 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.043 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.047 * [taylor]: Taking taylor expansion of 0 in lambda2 1.052 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.052 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.052 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.052 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.052 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.060 * [taylor]: Taking taylor expansion of 0 in lambda2 1.061 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.061 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.061 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.061 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.061 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.061 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.061 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.061 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.061 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.061 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.062 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.062 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.062 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.062 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.062 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.062 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.062 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.062 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.062 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.062 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.062 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.062 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.063 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.063 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.063 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.063 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.063 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.063 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.063 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.063 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.066 * [taylor]: Taking taylor expansion of 0 in lambda2 1.070 * [taylor]: Taking taylor expansion of 0 in lambda2 1.076 * [taylor]: Taking taylor expansion of 0 in lambda2 1.077 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.077 * [taylor]: Taking taylor expansion of -1 in lambda2 1.077 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.077 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.077 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.077 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.077 * [taylor]: Taking taylor expansion of -1 in lambda1 1.077 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.078 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.078 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.078 * [taylor]: Taking taylor expansion of -1 in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.078 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.079 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.079 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.079 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.079 * [taylor]: Taking taylor expansion of -1 in lambda2 1.079 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.079 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.079 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.079 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.081 * [taylor]: Taking taylor expansion of 0 in lambda2 1.085 * [taylor]: Taking taylor expansion of 0 in lambda2 1.090 * [taylor]: Taking taylor expansion of 0 in lambda2 1.090 * * * [progress]: simplifying candidates 1.092 * [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 (* (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)) (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) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.098 * * [simplify]: iteration 0 : 292 enodes (cost 1092 ) 1.102 * * [simplify]: iteration 1 : 949 enodes (cost 951 ) 1.117 * * [simplify]: iteration 2 : 2618 enodes (cost 927 ) 1.151 * * [simplify]: iteration 3 : 5002 enodes (cost 927 ) 1.155 * [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 (* (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)) (expm1 (* (sin lambda1) (sin (- lambda2)))) (log1p (* (sin lambda1) (sin (- lambda2)))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.156 * * * [progress]: adding candidates to table 1.576 * * [progress]: iteration 3 / 4 1.576 * * * [progress]: picking best candidate 1.648 * * * * [pick]: Picked # 1.648 * * * [progress]: localizing error 1.690 * * * [progress]: generating rewritten candidates 1.690 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.690 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.693 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 1.697 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 1.705 * * * [progress]: generating series expansions 1.705 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.705 * [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 1.705 * [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 1.706 * [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 1.706 * [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 1.706 * [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 1.707 * [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 1.707 * [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 1.708 * [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 1.708 * [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 1.709 * [taylor]: Taking taylor expansion of 0 in phi2 1.709 * [taylor]: Taking taylor expansion of 0 in lambda1 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.709 * [taylor]: Taking taylor expansion of 0 in lambda1 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.709 * [taylor]: Taking taylor expansion of 0 in phi2 1.709 * [taylor]: Taking taylor expansion of 0 in lambda1 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.709 * [taylor]: Taking taylor expansion of 0 in lambda1 1.709 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.710 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.711 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.711 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.712 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.712 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.713 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.713 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.714 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.715 * [taylor]: Taking taylor expansion of 0 in phi2 1.715 * [taylor]: Taking taylor expansion of 0 in lambda1 1.715 * [taylor]: Taking taylor expansion of 0 in lambda2 1.715 * [taylor]: Taking taylor expansion of 0 in lambda1 1.715 * [taylor]: Taking taylor expansion of 0 in lambda2 1.715 * [taylor]: Taking taylor expansion of 0 in lambda2 1.715 * [taylor]: Taking taylor expansion of 0 in phi2 1.715 * [taylor]: Taking taylor expansion of 0 in lambda1 1.715 * [taylor]: Taking taylor expansion of 0 in lambda2 1.715 * [taylor]: Taking taylor expansion of 0 in lambda1 1.715 * [taylor]: Taking taylor expansion of 0 in lambda2 1.717 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.717 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.717 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.718 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.718 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.719 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.719 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.720 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.720 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.721 * [taylor]: Taking taylor expansion of 0 in phi2 1.721 * [taylor]: Taking taylor expansion of 0 in lambda1 1.721 * [taylor]: Taking taylor expansion of 0 in lambda2 1.721 * [taylor]: Taking taylor expansion of 0 in lambda1 1.721 * [taylor]: Taking taylor expansion of 0 in lambda2 1.721 * [taylor]: Taking taylor expansion of 0 in lambda2 1.722 * [taylor]: Taking taylor expansion of 0 in phi2 1.722 * [taylor]: Taking taylor expansion of 0 in lambda1 1.722 * [taylor]: Taking taylor expansion of 0 in lambda2 1.722 * [taylor]: Taking taylor expansion of 0 in lambda1 1.722 * [taylor]: Taking taylor expansion of 0 in lambda2 1.722 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.723 * [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 1.723 * [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 1.723 * [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 1.723 * [taylor]: Taking taylor expansion of R in R 1.723 * [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 1.723 * [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 1.724 * [taylor]: Taking taylor expansion of R in lambda2 1.724 * [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 1.724 * [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 1.724 * [taylor]: Taking taylor expansion of R in lambda1 1.724 * [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 1.724 * [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 1.725 * [taylor]: Taking taylor expansion of R in phi2 1.725 * [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 1.725 * [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 1.725 * [taylor]: Taking taylor expansion of R in phi1 1.725 * [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 1.725 * [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 1.725 * [taylor]: Taking taylor expansion of R in phi1 1.726 * [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 1.726 * [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 1.726 * [taylor]: Taking taylor expansion of R in phi2 1.727 * [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 1.727 * [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 1.727 * [taylor]: Taking taylor expansion of R in lambda1 1.727 * [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 1.728 * [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 1.728 * [taylor]: Taking taylor expansion of R in lambda2 1.728 * [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 1.728 * [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 1.729 * [taylor]: Taking taylor expansion of R in R 1.730 * [taylor]: Taking taylor expansion of 0 in phi2 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in R 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in R 1.731 * [taylor]: Taking taylor expansion of 0 in lambda2 1.731 * [taylor]: Taking taylor expansion of 0 in R 1.731 * [taylor]: Taking taylor expansion of 0 in R 1.733 * [taylor]: Taking taylor expansion of 0 in phi2 1.733 * [taylor]: Taking taylor expansion of 0 in lambda1 1.733 * [taylor]: Taking taylor expansion of 0 in lambda2 1.733 * [taylor]: Taking taylor expansion of 0 in R 1.733 * [taylor]: Taking taylor expansion of 0 in lambda1 1.733 * [taylor]: Taking taylor expansion of 0 in lambda2 1.733 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [taylor]: Taking taylor expansion of 0 in lambda1 1.734 * [taylor]: Taking taylor expansion of 0 in lambda2 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [taylor]: Taking taylor expansion of 0 in lambda2 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [taylor]: Taking taylor expansion of 0 in lambda2 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.735 * [taylor]: Taking taylor expansion of 0 in lambda2 1.735 * [taylor]: Taking taylor expansion of 0 in R 1.737 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.737 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.737 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.737 * [taylor]: Taking taylor expansion of R in R 1.738 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.738 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.738 * [taylor]: Taking taylor expansion of R in lambda2 1.739 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.739 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.740 * [taylor]: Taking taylor expansion of R in lambda1 1.740 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.740 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.741 * [taylor]: Taking taylor expansion of R in phi2 1.741 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.741 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.742 * [taylor]: Taking taylor expansion of R in phi1 1.742 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 1.742 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 1.743 * [taylor]: Taking taylor expansion of R in phi1 1.743 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 1.744 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 1.744 * [taylor]: Taking taylor expansion of R in phi2 1.745 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 1.745 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 1.745 * [taylor]: Taking taylor expansion of R in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.746 * [taylor]: Taking taylor expansion of 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.747 * [taylor]: Taking taylor expansion of R in R 1.749 * [taylor]: Taking taylor expansion of 0 in phi2 1.749 * [taylor]: Taking taylor expansion of 0 in lambda1 1.749 * [taylor]: Taking taylor expansion of 0 in lambda2 1.749 * [taylor]: Taking taylor expansion of 0 in R 1.750 * [taylor]: Taking taylor expansion of 0 in lambda1 1.750 * [taylor]: Taking taylor expansion of 0 in lambda2 1.750 * [taylor]: Taking taylor expansion of 0 in R 1.751 * [taylor]: Taking taylor expansion of 0 in lambda2 1.751 * [taylor]: Taking taylor expansion of 0 in R 1.752 * [taylor]: Taking taylor expansion of 0 in R 1.754 * [taylor]: Taking taylor expansion of 0 in phi2 1.754 * [taylor]: Taking taylor expansion of 0 in lambda1 1.754 * [taylor]: Taking taylor expansion of 0 in lambda2 1.754 * [taylor]: Taking taylor expansion of 0 in R 1.754 * [taylor]: Taking taylor expansion of 0 in lambda1 1.754 * [taylor]: Taking taylor expansion of 0 in lambda2 1.754 * [taylor]: Taking taylor expansion of 0 in R 1.755 * [taylor]: Taking taylor expansion of 0 in lambda1 1.755 * [taylor]: Taking taylor expansion of 0 in lambda2 1.755 * [taylor]: Taking taylor expansion of 0 in R 1.755 * [taylor]: Taking taylor expansion of 0 in lambda2 1.755 * [taylor]: Taking taylor expansion of 0 in R 1.755 * [taylor]: Taking taylor expansion of 0 in lambda2 1.755 * [taylor]: Taking taylor expansion of 0 in R 1.755 * [taylor]: Taking taylor expansion of 0 in lambda2 1.755 * [taylor]: Taking taylor expansion of 0 in R 1.755 * [taylor]: Taking taylor expansion of 0 in R 1.755 * [taylor]: Taking taylor expansion of 0 in R 1.756 * [taylor]: Taking taylor expansion of 0 in R 1.756 * [taylor]: Taking taylor expansion of 0 in R 1.764 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.764 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.764 * [taylor]: Taking taylor expansion of -1 in R 1.764 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.764 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.764 * [taylor]: Taking taylor expansion of R in R 1.765 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.765 * [taylor]: Taking taylor expansion of -1 in lambda2 1.765 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.765 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.766 * [taylor]: Taking taylor expansion of R in lambda2 1.766 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.766 * [taylor]: Taking taylor expansion of -1 in lambda1 1.766 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.766 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.767 * [taylor]: Taking taylor expansion of R in lambda1 1.767 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.768 * [taylor]: Taking taylor expansion of -1 in phi2 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.768 * [taylor]: Taking taylor expansion of R in phi2 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.769 * [taylor]: Taking taylor expansion of -1 in phi1 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.769 * [taylor]: Taking taylor expansion of R in phi1 1.770 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.770 * [taylor]: Taking taylor expansion of -1 in phi1 1.770 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.770 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.770 * [taylor]: Taking taylor expansion of R in phi1 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.773 * [taylor]: Taking taylor expansion of -1 in lambda1 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.774 * [taylor]: Taking taylor expansion of R in lambda1 1.775 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.775 * [taylor]: Taking taylor expansion of -1 in lambda2 1.775 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.775 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.776 * [taylor]: Taking taylor expansion of R in lambda2 1.777 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.777 * [taylor]: Taking taylor expansion of -1 in R 1.777 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.777 * [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)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.777 * [taylor]: Taking taylor expansion of R in R 1.781 * [taylor]: Taking taylor expansion of 0 in phi2 1.781 * [taylor]: Taking taylor expansion of 0 in lambda1 1.781 * [taylor]: Taking taylor expansion of 0 in lambda2 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.782 * [taylor]: Taking taylor expansion of 0 in lambda1 1.782 * [taylor]: Taking taylor expansion of 0 in lambda2 1.782 * [taylor]: Taking taylor expansion of 0 in R 1.784 * [taylor]: Taking taylor expansion of 0 in lambda2 1.784 * [taylor]: Taking taylor expansion of 0 in R 1.786 * [taylor]: Taking taylor expansion of 0 in R 1.790 * [taylor]: Taking taylor expansion of 0 in phi2 1.790 * [taylor]: Taking taylor expansion of 0 in lambda1 1.790 * [taylor]: Taking taylor expansion of 0 in lambda2 1.790 * [taylor]: Taking taylor expansion of 0 in R 1.790 * [taylor]: Taking taylor expansion of 0 in lambda1 1.790 * [taylor]: Taking taylor expansion of 0 in lambda2 1.790 * [taylor]: Taking taylor expansion of 0 in R 1.792 * [taylor]: Taking taylor expansion of 0 in lambda1 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [taylor]: Taking taylor expansion of 0 in R 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [taylor]: Taking taylor expansion of 0 in R 1.792 * [taylor]: Taking taylor expansion of 0 in lambda2 1.792 * [taylor]: Taking taylor expansion of 0 in R 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 R 1.794 * [taylor]: Taking taylor expansion of 0 in R 1.794 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.800 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 1.800 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.800 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.800 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.800 * [taylor]: Taking taylor expansion of phi1 in phi2 1.800 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.800 * [taylor]: Taking taylor expansion of phi2 in phi2 1.800 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.800 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.800 * [taylor]: Taking taylor expansion of phi1 in phi1 1.800 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.800 * [taylor]: Taking taylor expansion of phi2 in phi1 1.800 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.800 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.800 * [taylor]: Taking taylor expansion of phi1 in phi1 1.800 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.800 * [taylor]: Taking taylor expansion of phi2 in phi1 1.800 * [taylor]: Taking taylor expansion of 0 in phi2 1.802 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.803 * [taylor]: Taking taylor expansion of phi2 in phi2 1.806 * [taylor]: Taking taylor expansion of 0 in phi2 1.810 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.810 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.810 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.810 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.810 * [taylor]: Taking taylor expansion of phi2 in phi2 1.816 * [taylor]: Taking taylor expansion of 0 in phi2 1.817 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.817 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.817 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.817 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.817 * [taylor]: Taking taylor expansion of phi1 in phi2 1.817 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.817 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.817 * [taylor]: Taking taylor expansion of phi2 in phi2 1.817 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.817 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.817 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.817 * [taylor]: Taking taylor expansion of phi1 in phi1 1.817 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.817 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.818 * [taylor]: Taking taylor expansion of phi2 in phi1 1.818 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.818 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.818 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.818 * [taylor]: Taking taylor expansion of phi1 in phi1 1.818 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.818 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.818 * [taylor]: Taking taylor expansion of phi2 in phi1 1.818 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.818 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.818 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.818 * [taylor]: Taking taylor expansion of phi1 in phi2 1.818 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.818 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.818 * [taylor]: Taking taylor expansion of phi2 in phi2 1.821 * [taylor]: Taking taylor expansion of 0 in phi2 1.825 * [taylor]: Taking taylor expansion of 0 in phi2 1.830 * [taylor]: Taking taylor expansion of 0 in phi2 1.830 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.830 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.830 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.830 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.830 * [taylor]: Taking taylor expansion of -1 in phi2 1.830 * [taylor]: Taking taylor expansion of phi1 in phi2 1.830 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.830 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.830 * [taylor]: Taking taylor expansion of -1 in phi2 1.830 * [taylor]: Taking taylor expansion of phi2 in phi2 1.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.831 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.831 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.831 * [taylor]: Taking taylor expansion of -1 in phi1 1.831 * [taylor]: Taking taylor expansion of phi1 in phi1 1.831 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.831 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.831 * [taylor]: Taking taylor expansion of -1 in phi1 1.831 * [taylor]: Taking taylor expansion of phi2 in phi1 1.831 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.831 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.831 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.831 * [taylor]: Taking taylor expansion of -1 in phi1 1.831 * [taylor]: Taking taylor expansion of phi1 in phi1 1.832 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.832 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.832 * [taylor]: Taking taylor expansion of -1 in phi1 1.832 * [taylor]: Taking taylor expansion of phi2 in phi1 1.832 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.832 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.832 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.832 * [taylor]: Taking taylor expansion of -1 in phi2 1.832 * [taylor]: Taking taylor expansion of phi1 in phi2 1.832 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.832 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.832 * [taylor]: Taking taylor expansion of -1 in phi2 1.832 * [taylor]: Taking taylor expansion of phi2 in phi2 1.835 * [taylor]: Taking taylor expansion of 0 in phi2 1.839 * [taylor]: Taking taylor expansion of 0 in phi2 1.844 * [taylor]: Taking taylor expansion of 0 in phi2 1.844 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.844 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.844 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.844 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.844 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.844 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.844 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.844 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.845 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.845 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.845 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.845 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.845 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.845 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.845 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.845 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.845 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.845 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.845 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.845 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.845 * [taylor]: Taking taylor expansion of 0 in lambda2 1.852 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.852 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.852 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.856 * [taylor]: Taking taylor expansion of 0 in lambda2 1.862 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.862 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.862 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.862 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.862 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.862 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.870 * [taylor]: Taking taylor expansion of 0 in lambda2 1.870 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.870 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.870 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.871 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.871 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.871 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.871 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.871 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.871 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.871 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.871 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.871 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.871 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.872 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.872 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.872 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.872 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.872 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.872 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.872 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.872 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.872 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.872 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.872 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.872 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.873 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.873 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.873 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.873 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.873 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.873 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.873 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.873 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.876 * [taylor]: Taking taylor expansion of 0 in lambda2 1.880 * [taylor]: Taking taylor expansion of 0 in lambda2 1.887 * [taylor]: Taking taylor expansion of 0 in lambda2 1.887 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.887 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.887 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.887 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.887 * [taylor]: Taking taylor expansion of -1 in lambda2 1.887 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.887 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.887 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.887 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.887 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.887 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.887 * [taylor]: Taking taylor expansion of -1 in lambda1 1.887 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.888 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.888 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.888 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.888 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.888 * [taylor]: Taking taylor expansion of -1 in lambda1 1.888 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.888 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.888 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.888 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.889 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.889 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.889 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.889 * [taylor]: Taking taylor expansion of -1 in lambda2 1.889 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.889 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.889 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.889 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.891 * [taylor]: Taking taylor expansion of 0 in lambda2 1.895 * [taylor]: Taking taylor expansion of 0 in lambda2 1.900 * [taylor]: Taking taylor expansion of 0 in lambda2 1.900 * * * [progress]: simplifying candidates 1.902 * [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 (* (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)) (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) (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 (* -1 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 (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.908 * * [simplify]: iteration 0 : 291 enodes (cost 1180 ) 1.912 * * [simplify]: iteration 1 : 953 enodes (cost 1027 ) 1.928 * * [simplify]: iteration 2 : 2628 enodes (cost 1003 ) 1.961 * * [simplify]: iteration 3 : 5001 enodes (cost 1003 ) 1.965 * [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 (* (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)) (expm1 (* (sin lambda1) (sin (- lambda2)))) (log1p (* (sin lambda1) (sin (- lambda2)))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (+ (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))))))) 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 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.966 * * * [progress]: adding candidates to table 2.434 * * [progress]: iteration 4 / 4 2.435 * * * [progress]: picking best candidate 2.505 * * * * [pick]: Picked # 2.505 * * * [progress]: localizing error 2.542 * * * [progress]: generating rewritten candidates 2.542 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 2.545 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.545 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 2.550 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.554 * * * [progress]: generating series expansions 2.554 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 2.554 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in (lambda1 lambda2) around 0 2.554 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda2 2.554 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.554 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.554 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.554 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.554 * [taylor]: Taking taylor expansion of -1 in lambda2 2.554 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.555 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.555 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.555 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.555 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.555 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.555 * [taylor]: Taking taylor expansion of -1 in lambda1 2.555 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.555 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.555 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.555 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.555 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.555 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.555 * [taylor]: Taking taylor expansion of -1 in lambda1 2.555 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.556 * [taylor]: Taking taylor expansion of 0 in lambda2 2.558 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.558 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.558 * [taylor]: Taking taylor expansion of -1 in lambda2 2.558 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.562 * [taylor]: Taking taylor expansion of 0 in lambda2 2.567 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (* -1 lambda2)))) in lambda2 2.567 * [taylor]: Taking taylor expansion of (* 1/6 (sin (* -1 lambda2))) in lambda2 2.568 * [taylor]: Taking taylor expansion of 1/6 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 -1 in lambda2 2.568 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.576 * [taylor]: Taking taylor expansion of 0 in lambda2 2.576 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.576 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.576 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.576 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.576 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.576 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.576 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.576 * [taylor]: Taking taylor expansion of -1 in lambda2 2.576 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.576 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.576 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.577 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.577 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.577 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.577 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.577 * [taylor]: Taking taylor expansion of -1 in lambda1 2.577 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.577 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.577 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.577 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.577 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.577 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.577 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.577 * [taylor]: Taking taylor expansion of -1 in lambda1 2.577 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.578 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.578 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.578 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.578 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.578 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.578 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.578 * [taylor]: Taking taylor expansion of -1 in lambda2 2.578 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.585 * [taylor]: Taking taylor expansion of 0 in lambda2 2.589 * [taylor]: Taking taylor expansion of 0 in lambda2 2.595 * [taylor]: Taking taylor expansion of 0 in lambda2 2.595 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.595 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.595 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.595 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.595 * [taylor]: Taking taylor expansion of -1 in lambda2 2.595 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.595 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.595 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.595 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.596 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.596 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.596 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.596 * [taylor]: Taking taylor expansion of -1 in lambda1 2.596 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.596 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.596 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.596 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.596 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.596 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.596 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.596 * [taylor]: Taking taylor expansion of -1 in lambda1 2.596 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.597 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.597 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.597 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.597 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.597 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.597 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.597 * [taylor]: Taking taylor expansion of -1 in lambda2 2.597 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.597 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.597 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.597 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.600 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.609 * [taylor]: Taking taylor expansion of 0 in lambda2 2.609 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.610 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.610 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.610 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.611 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.611 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.612 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.612 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.612 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.613 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.614 * [taylor]: Taking taylor expansion of 0 in phi2 2.614 * [taylor]: Taking taylor expansion of 0 in lambda1 2.614 * [taylor]: Taking taylor expansion of 0 in lambda2 2.614 * [taylor]: Taking taylor expansion of 0 in lambda1 2.614 * [taylor]: Taking taylor expansion of 0 in lambda2 2.614 * [taylor]: Taking taylor expansion of 0 in lambda2 2.614 * [taylor]: Taking taylor expansion of 0 in phi2 2.614 * [taylor]: Taking taylor expansion of 0 in lambda1 2.614 * [taylor]: Taking taylor expansion of 0 in lambda2 2.614 * [taylor]: Taking taylor expansion of 0 in lambda1 2.614 * [taylor]: Taking taylor expansion of 0 in lambda2 2.615 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.615 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.615 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.616 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.616 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.617 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.617 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.618 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.618 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.619 * [taylor]: Taking taylor expansion of 0 in phi2 2.619 * [taylor]: Taking taylor expansion of 0 in lambda1 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.620 * [taylor]: Taking taylor expansion of 0 in lambda1 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.620 * [taylor]: Taking taylor expansion of 0 in phi2 2.620 * [taylor]: Taking taylor expansion of 0 in lambda1 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.620 * [taylor]: Taking taylor expansion of 0 in lambda1 2.620 * [taylor]: Taking taylor expansion of 0 in lambda2 2.621 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.621 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.621 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.622 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.622 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.623 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.623 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.624 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.624 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.626 * [taylor]: Taking taylor expansion of 0 in phi2 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [taylor]: Taking taylor expansion of 0 in phi2 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.626 * [taylor]: Taking taylor expansion of 0 in lambda1 2.626 * [taylor]: Taking taylor expansion of 0 in lambda2 2.627 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 2.627 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.627 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda2 2.627 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda2 2.627 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.627 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.627 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.627 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.627 * [taylor]: Taking taylor expansion of -1 in lambda2 2.627 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.630 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda1 2.630 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.630 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.630 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.630 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.630 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.630 * [taylor]: Taking taylor expansion of -1 in lambda1 2.630 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.633 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda1 2.633 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.633 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.633 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.633 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.633 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.633 * [taylor]: Taking taylor expansion of -1 in lambda1 2.633 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.636 * [taylor]: Taking taylor expansion of (pow (sin (* -1 lambda2)) 3) in lambda2 2.636 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.636 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.636 * [taylor]: Taking taylor expansion of -1 in lambda2 2.636 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.641 * [taylor]: Taking taylor expansion of 0 in lambda2 2.649 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin (* -1 lambda2)) 3))) in lambda2 2.649 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin (* -1 lambda2)) 3)) in lambda2 2.649 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.649 * [taylor]: Taking taylor expansion of (pow (sin (* -1 lambda2)) 3) in lambda2 2.649 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.649 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.649 * [taylor]: Taking taylor expansion of -1 in lambda2 2.649 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.655 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.655 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 2.655 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.655 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.655 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.655 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.655 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.655 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.655 * [taylor]: Taking taylor expansion of -1 in lambda2 2.655 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.656 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.656 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.656 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.656 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.656 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.656 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.656 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.656 * [taylor]: Taking taylor expansion of -1 in lambda1 2.656 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.656 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.656 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.656 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.656 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.656 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.657 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.657 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.657 * [taylor]: Taking taylor expansion of -1 in lambda1 2.657 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.657 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 2.658 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 2.658 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.658 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.658 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.658 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 2.658 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.658 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.658 * [taylor]: Taking taylor expansion of -1 in lambda2 2.658 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.661 * [taylor]: Taking taylor expansion of 0 in lambda2 2.666 * [taylor]: Taking taylor expansion of 0 in lambda2 2.680 * [taylor]: Taking taylor expansion of 0 in lambda2 2.680 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 2.680 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 2.680 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.680 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.680 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.680 * [taylor]: Taking taylor expansion of -1 in lambda2 2.680 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.680 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.681 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.681 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.681 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.681 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.681 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.681 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.681 * [taylor]: Taking taylor expansion of -1 in lambda1 2.681 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.681 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.681 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.681 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.682 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.682 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.682 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.682 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.682 * [taylor]: Taking taylor expansion of -1 in lambda1 2.682 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.682 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.682 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.683 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 2.683 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 2.683 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.683 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.683 * [taylor]: Taking taylor expansion of -1 in lambda2 2.683 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.683 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 2.683 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.683 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.683 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.687 * [taylor]: Taking taylor expansion of 0 in lambda2 2.692 * [taylor]: Taking taylor expansion of 0 in lambda2 2.701 * [taylor]: Taking taylor expansion of 0 in lambda2 2.701 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.702 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.702 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in R 2.702 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in R 2.702 * [taylor]: Taking taylor expansion of R in R 2.702 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda2 2.702 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.703 * [taylor]: Taking taylor expansion of R in lambda2 2.703 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda1 2.703 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.703 * [taylor]: Taking taylor expansion of R in lambda1 2.703 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi2 2.703 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.703 * [taylor]: Taking taylor expansion of R in phi2 2.703 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi1 2.703 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.704 * [taylor]: Taking taylor expansion of R in phi1 2.704 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi1 2.704 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.704 * [taylor]: Taking taylor expansion of R in phi1 2.705 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi2 2.705 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.705 * [taylor]: Taking taylor expansion of R in phi2 2.705 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda1 2.705 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.706 * [taylor]: Taking taylor expansion of R in lambda1 2.706 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda2 2.706 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.707 * [taylor]: Taking taylor expansion of R in lambda2 2.707 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in R 2.707 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in R 2.707 * [taylor]: Taking taylor expansion of R in R 2.708 * [taylor]: Taking taylor expansion of 0 in phi2 2.708 * [taylor]: Taking taylor expansion of 0 in lambda1 2.708 * [taylor]: Taking taylor expansion of 0 in lambda2 2.708 * [taylor]: Taking taylor expansion of 0 in R 2.709 * [taylor]: Taking taylor expansion of 0 in lambda1 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [taylor]: Taking taylor expansion of 0 in R 2.709 * [taylor]: Taking taylor expansion of 0 in lambda2 2.709 * [taylor]: Taking taylor expansion of 0 in R 2.710 * [taylor]: Taking taylor expansion of 0 in R 2.712 * [taylor]: Taking taylor expansion of 0 in phi2 2.712 * [taylor]: Taking taylor expansion of 0 in lambda1 2.712 * [taylor]: Taking taylor expansion of 0 in lambda2 2.712 * [taylor]: Taking taylor expansion of 0 in R 2.712 * [taylor]: Taking taylor expansion of 0 in lambda1 2.712 * [taylor]: Taking taylor expansion of 0 in lambda2 2.712 * [taylor]: Taking taylor expansion of 0 in R 2.713 * [taylor]: Taking taylor expansion of 0 in lambda1 2.713 * [taylor]: Taking taylor expansion of 0 in lambda2 2.713 * [taylor]: Taking taylor expansion of 0 in R 2.713 * [taylor]: Taking taylor expansion of 0 in lambda2 2.713 * [taylor]: Taking taylor expansion of 0 in R 2.713 * [taylor]: Taking taylor expansion of 0 in lambda2 2.713 * [taylor]: Taking taylor expansion of 0 in R 2.714 * [taylor]: Taking taylor expansion of 0 in lambda2 2.714 * [taylor]: Taking taylor expansion of 0 in R 2.715 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.715 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in R 2.715 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in R 2.716 * [taylor]: Taking taylor expansion of R in R 2.716 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda2 2.716 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.717 * [taylor]: Taking taylor expansion of R in lambda2 2.717 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda1 2.717 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.718 * [taylor]: Taking taylor expansion of R in lambda1 2.718 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi2 2.718 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.719 * [taylor]: Taking taylor expansion of R in phi2 2.719 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi1 2.719 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.720 * [taylor]: Taking taylor expansion of R in phi1 2.720 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi1 2.720 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.721 * [taylor]: Taking taylor expansion of R in phi1 2.721 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi2 2.722 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.722 * [taylor]: Taking taylor expansion of R in phi2 2.723 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda1 2.723 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.723 * [taylor]: Taking taylor expansion of R in lambda1 2.724 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda2 2.724 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.724 * [taylor]: Taking taylor expansion of R in lambda2 2.725 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in R 2.725 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in R 2.725 * [taylor]: Taking taylor expansion of R in R 2.727 * [taylor]: Taking taylor expansion of 0 in phi2 2.727 * [taylor]: Taking taylor expansion of 0 in lambda1 2.727 * [taylor]: Taking taylor expansion of 0 in lambda2 2.727 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in lambda1 2.728 * [taylor]: Taking taylor expansion of 0 in lambda2 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.728 * [taylor]: Taking taylor expansion of 0 in lambda2 2.728 * [taylor]: Taking taylor expansion of 0 in R 2.729 * [taylor]: Taking taylor expansion of 0 in R 2.731 * [taylor]: Taking taylor expansion of 0 in phi2 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [taylor]: Taking taylor expansion of 0 in R 2.731 * [taylor]: Taking taylor expansion of 0 in lambda1 2.731 * [taylor]: Taking taylor expansion of 0 in lambda2 2.731 * [taylor]: Taking taylor expansion of 0 in R 2.732 * [taylor]: Taking taylor expansion of 0 in lambda1 2.732 * [taylor]: Taking taylor expansion of 0 in lambda2 2.732 * [taylor]: Taking taylor expansion of 0 in R 2.732 * [taylor]: Taking taylor expansion of 0 in lambda2 2.732 * [taylor]: Taking taylor expansion of 0 in R 2.732 * [taylor]: Taking taylor expansion of 0 in lambda2 2.732 * [taylor]: Taking taylor expansion of 0 in R 2.733 * [taylor]: Taking taylor expansion of 0 in lambda2 2.733 * [taylor]: Taking taylor expansion of 0 in R 2.733 * [taylor]: Taking taylor expansion of 0 in R 2.733 * [taylor]: Taking taylor expansion of 0 in R 2.733 * [taylor]: Taking taylor expansion of 0 in R 2.733 * [taylor]: Taking taylor expansion of 0 in R 2.737 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.737 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.737 * [taylor]: Taking taylor expansion of -1 in R 2.737 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.737 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.738 * [taylor]: Taking taylor expansion of R in R 2.738 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.738 * [taylor]: Taking taylor expansion of -1 in lambda2 2.738 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.738 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.739 * [taylor]: Taking taylor expansion of R in lambda2 2.739 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.739 * [taylor]: Taking taylor expansion of -1 in lambda1 2.739 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.739 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.740 * [taylor]: Taking taylor expansion of R in lambda1 2.740 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.740 * [taylor]: Taking taylor expansion of -1 in phi2 2.740 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.740 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.741 * [taylor]: Taking taylor expansion of R in phi2 2.741 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.741 * [taylor]: Taking taylor expansion of -1 in phi1 2.741 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.741 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.742 * [taylor]: Taking taylor expansion of R in phi1 2.742 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.742 * [taylor]: Taking taylor expansion of -1 in phi1 2.742 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.742 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.743 * [taylor]: Taking taylor expansion of R in phi1 2.744 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.744 * [taylor]: Taking taylor expansion of -1 in phi2 2.744 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.744 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.745 * [taylor]: Taking taylor expansion of R in phi2 2.746 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.746 * [taylor]: Taking taylor expansion of -1 in lambda1 2.746 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.746 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.746 * [taylor]: Taking taylor expansion of R in lambda1 2.747 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.747 * [taylor]: Taking taylor expansion of -1 in lambda2 2.747 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.747 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.748 * [taylor]: Taking taylor expansion of R in lambda2 2.749 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.749 * [taylor]: Taking taylor expansion of -1 in R 2.749 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.749 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.749 * [taylor]: Taking taylor expansion of R in R 2.753 * [taylor]: Taking taylor expansion of 0 in phi2 2.753 * [taylor]: Taking taylor expansion of 0 in lambda1 2.753 * [taylor]: Taking taylor expansion of 0 in lambda2 2.753 * [taylor]: Taking taylor expansion of 0 in R 2.754 * [taylor]: Taking taylor expansion of 0 in lambda1 2.754 * [taylor]: Taking taylor expansion of 0 in lambda2 2.754 * [taylor]: Taking taylor expansion of 0 in R 2.756 * [taylor]: Taking taylor expansion of 0 in lambda2 2.756 * [taylor]: Taking taylor expansion of 0 in R 2.758 * [taylor]: Taking taylor expansion of 0 in R 2.765 * [taylor]: Taking taylor expansion of 0 in phi2 2.765 * [taylor]: Taking taylor expansion of 0 in lambda1 2.765 * [taylor]: Taking taylor expansion of 0 in lambda2 2.765 * [taylor]: Taking taylor expansion of 0 in R 2.765 * [taylor]: Taking taylor expansion of 0 in lambda1 2.765 * [taylor]: Taking taylor expansion of 0 in lambda2 2.765 * [taylor]: Taking taylor expansion of 0 in R 2.767 * [taylor]: Taking taylor expansion of 0 in lambda1 2.767 * [taylor]: Taking taylor expansion of 0 in lambda2 2.767 * [taylor]: Taking taylor expansion of 0 in R 2.767 * [taylor]: Taking taylor expansion of 0 in lambda2 2.767 * [taylor]: Taking taylor expansion of 0 in R 2.767 * [taylor]: Taking taylor expansion of 0 in lambda2 2.767 * [taylor]: Taking taylor expansion of 0 in R 2.769 * [taylor]: Taking taylor expansion of 0 in lambda2 2.769 * [taylor]: Taking taylor expansion of 0 in R 2.769 * [taylor]: Taking taylor expansion of 0 in R 2.769 * [taylor]: Taking taylor expansion of 0 in R 2.769 * [taylor]: Taking taylor expansion of 0 in R 2.771 * [taylor]: Taking taylor expansion of 0 in R 2.775 * * * [progress]: simplifying candidates 2.776 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log1p (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (exp (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (* -1 lambda2)) 3)) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (* -1 lambda2)) 3)) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (expm1 (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log1p (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (+ (log (sin lambda1)) (log (sin (* -1 lambda2)))) 3) (* (log (* (sin lambda1) (sin (* -1 lambda2)))) 3) (* (log (* (sin lambda1) (sin (* -1 lambda2)))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (* -1 lambda2))) (sqrt 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2)))) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (* (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3) (pow 2 3) (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2)))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2)) (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2)) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (- (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5)))) (* (pow lambda2 3) (pow lambda1 3))) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 2.783 * * [simplify]: iteration 0 : 305 enodes (cost 1246 ) 2.789 * * [simplify]: iteration 1 : 1128 enodes (cost 1101 ) 2.814 * * [simplify]: iteration 2 : 5001 enodes (cost 1088 ) 2.819 * [simplify]: Simplified to: (expm1 (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log1p (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log (* (sin lambda1) (sin (* -1 lambda2)))) (pow (exp (sin lambda1)) (sin (* -1 lambda2))) (sin lambda1) (sin (* -1 lambda2)) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (sin lambda1) (sin (* -1 lambda2)) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt 1) (* (sin lambda1) (sin (* -1 lambda2))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2)) (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1/2) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1/2) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (expm1 (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log1p (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) 3 3 (pow (* (sin lambda1) (sin (* -1 lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (* -1 lambda2))) (sqrt 3)) (* (sin lambda1) (sin (* -1 lambda2))) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (* (sin lambda1) (sin (* -1 lambda2))) (pow (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) 3) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3) 8 (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (fma (fma (pow lambda1 3) (pow lambda2 5) (* (pow lambda2 3) (pow lambda1 5))) 1/2 (- (* (pow lambda2 3) (pow lambda1 3)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 2.819 * * * [progress]: adding candidates to table 3.282 * [progress]: [Phase 3 of 3] Extracting. 3.282 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # #) 3.296 * * * [regime-changes]: Trying 10 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (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) phi2 phi1 lambda2 lambda1 R) 3.296 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # #) 3.392 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 3.416 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # #) 3.514 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 3.538 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # #) 3.649 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # #) 3.762 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# # # # # # # # # # # #) 3.877 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # #) 3.971 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # #) 4.066 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # #) 4.160 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # #) 4.251 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # #) 4.344 * * * [regime]: Found split indices: #