7.586 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.271 * * * [progress]: [2/2] Setting up program. 0.275 * [progress]: [Phase 2 of 3] Improving. 0.275 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.277 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.279 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.280 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.281 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.283 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.283 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.283 * * [progress]: iteration 1 / 4 0.283 * * * [progress]: picking best candidate 0.287 * * * * [pick]: Picked # 0.287 * * * [progress]: localizing error 0.310 * * * [progress]: generating rewritten candidates 0.310 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.317 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.318 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.320 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.330 * * * [progress]: generating series expansions 0.330 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.330 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.330 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.331 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.331 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.331 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.332 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.335 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.335 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.335 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.338 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.338 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.339 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.339 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.341 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.341 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.341 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.343 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda2 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 lambda2 0.344 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.346 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.346 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.348 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in phi2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in phi2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda1 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [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 0.351 * [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 0.351 * [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 0.351 * [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 0.351 * [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 0.352 * [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 0.352 * [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 0.352 * [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 0.353 * [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 0.353 * [taylor]: Taking taylor expansion of 0 in phi2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in phi2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.354 * [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 0.354 * [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 0.355 * [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 0.355 * [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 0.355 * [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 0.355 * [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 0.356 * [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 0.356 * [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 0.357 * [taylor]: Taking taylor expansion of 0 in phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in phi2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in lambda1 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.358 * [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 0.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.358 * [taylor]: Taking taylor expansion of R in R 0.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.358 * [taylor]: Taking taylor expansion of R in lambda2 0.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.358 * [taylor]: Taking taylor expansion of R in lambda1 0.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.358 * [taylor]: Taking taylor expansion of R in phi2 0.358 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.359 * [taylor]: Taking taylor expansion of R in phi1 0.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.359 * [taylor]: Taking taylor expansion of R in phi1 0.359 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.359 * [taylor]: Taking taylor expansion of R in phi2 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.360 * [taylor]: Taking taylor expansion of R in lambda1 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.360 * [taylor]: Taking taylor expansion of R in lambda2 0.360 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.361 * [taylor]: Taking taylor expansion of R in R 0.361 * [taylor]: Taking taylor expansion of 0 in phi2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in R 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [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 R 0.364 * [taylor]: Taking taylor expansion of 0 in phi2 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda1 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [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 0.366 * [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 0.366 * [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 0.366 * [taylor]: Taking taylor expansion of R in R 0.366 * [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 0.366 * [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 0.367 * [taylor]: Taking taylor expansion of R in lambda2 0.367 * [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 0.367 * [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 0.367 * [taylor]: Taking taylor expansion of R in lambda1 0.368 * [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 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of R in phi2 0.368 * [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 0.368 * [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 0.368 * [taylor]: Taking taylor expansion of R in phi1 0.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.369 * [taylor]: Taking taylor expansion of R in phi1 0.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.370 * [taylor]: Taking taylor expansion of R in phi2 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.370 * [taylor]: Taking taylor expansion of R in lambda1 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.371 * [taylor]: Taking taylor expansion of R in lambda2 0.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.371 * [taylor]: Taking taylor expansion of R in R 0.372 * [taylor]: Taking taylor expansion of 0 in phi2 0.372 * [taylor]: Taking taylor expansion of 0 in lambda1 0.372 * [taylor]: Taking taylor expansion of 0 in lambda2 0.372 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in R 0.374 * [taylor]: Taking taylor expansion of 0 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 0.375 * [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 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [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 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of -1 in R 0.379 * [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 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of R in R 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of -1 in lambda2 0.380 * [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 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of R in lambda2 0.380 * [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 0.380 * [taylor]: Taking taylor expansion of -1 in lambda1 0.380 * [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 0.380 * [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 0.381 * [taylor]: Taking taylor expansion of R in lambda1 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of -1 in phi2 0.381 * [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 0.381 * [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 0.381 * [taylor]: Taking taylor expansion of R in phi2 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.382 * [taylor]: Taking taylor expansion of -1 in phi1 0.382 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.382 * [taylor]: Taking taylor expansion of R in phi1 0.382 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.382 * [taylor]: Taking taylor expansion of -1 in phi1 0.382 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.383 * [taylor]: Taking taylor expansion of R in phi1 0.383 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.383 * [taylor]: Taking taylor expansion of -1 in phi2 0.383 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.384 * [taylor]: Taking taylor expansion of R in phi2 0.384 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.384 * [taylor]: Taking taylor expansion of -1 in lambda1 0.384 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.384 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.385 * [taylor]: Taking taylor expansion of R in lambda1 0.385 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.385 * [taylor]: Taking taylor expansion of -1 in lambda2 0.385 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.385 * [taylor]: Taking taylor expansion of R in lambda2 0.386 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.386 * [taylor]: Taking taylor expansion of -1 in R 0.386 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.386 * [taylor]: Taking taylor expansion of R in R 0.389 * [taylor]: Taking taylor expansion of 0 in phi2 0.389 * [taylor]: Taking taylor expansion of 0 in lambda1 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [taylor]: Taking taylor expansion of 0 in lambda1 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.397 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.401 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.401 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.401 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.401 * [taylor]: Taking taylor expansion of phi1 in phi2 0.401 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.401 * [taylor]: Taking taylor expansion of phi2 in phi2 0.401 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.402 * [taylor]: Taking taylor expansion of phi1 in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.402 * [taylor]: Taking taylor expansion of phi2 in phi1 0.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.402 * [taylor]: Taking taylor expansion of phi1 in phi1 0.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.402 * [taylor]: Taking taylor expansion of phi2 in phi1 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.404 * [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 (- (* 1/6 (sin phi2))) in phi2 0.411 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.411 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.411 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.411 * [taylor]: Taking taylor expansion of phi2 in phi2 0.420 * [taylor]: Taking taylor expansion of 0 in phi2 0.420 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.420 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.420 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.420 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.420 * [taylor]: Taking taylor expansion of phi1 in phi2 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.421 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.421 * [taylor]: Taking taylor expansion of phi2 in phi2 0.421 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.421 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.421 * [taylor]: Taking taylor expansion of phi1 in phi1 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.421 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.421 * [taylor]: Taking taylor expansion of phi2 in phi1 0.421 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.421 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.421 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.421 * [taylor]: Taking taylor expansion of phi1 in phi1 0.422 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.422 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.422 * [taylor]: Taking taylor expansion of phi2 in phi1 0.422 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in 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 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 phi2 in phi2 0.425 * [taylor]: Taking taylor expansion of 0 in phi2 0.428 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.434 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.434 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.434 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.434 * [taylor]: Taking taylor expansion of -1 in phi2 0.434 * [taylor]: Taking taylor expansion of phi1 in phi2 0.434 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.434 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.434 * [taylor]: Taking taylor expansion of -1 in phi2 0.434 * [taylor]: Taking taylor expansion of phi2 in phi2 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.434 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.434 * [taylor]: Taking taylor expansion of -1 in phi1 0.434 * [taylor]: Taking taylor expansion of phi1 in phi1 0.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.435 * [taylor]: Taking taylor expansion of -1 in phi1 0.435 * [taylor]: Taking taylor expansion of phi2 in phi1 0.435 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.435 * [taylor]: Taking taylor expansion of -1 in phi1 0.435 * [taylor]: Taking taylor expansion of phi1 in phi1 0.435 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.435 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.435 * [taylor]: Taking taylor expansion of -1 in phi1 0.435 * [taylor]: Taking taylor expansion of phi2 in phi1 0.436 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.436 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.436 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.436 * [taylor]: Taking taylor expansion of -1 in phi2 0.436 * [taylor]: Taking taylor expansion of phi1 in phi2 0.436 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.436 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.436 * [taylor]: Taking taylor expansion of -1 in phi2 0.436 * [taylor]: Taking taylor expansion of phi2 in phi2 0.438 * [taylor]: Taking taylor expansion of 0 in phi2 0.442 * [taylor]: Taking taylor expansion of 0 in phi2 0.447 * [taylor]: Taking taylor expansion of 0 in phi2 0.447 * * * [progress]: simplifying candidates 0.448 * [simplify]: Simplifying using # : (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.454 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.458 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.471 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.505 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.508 * [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)) 0.509 * * * [progress]: adding candidates to table 0.797 * * [progress]: iteration 2 / 4 0.797 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.905 * * * [progress]: generating rewritten candidates 0.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.905 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 0.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.919 * * * [progress]: generating series expansions 0.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.920 * [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 0.920 * [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 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))))))) 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 phi2 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 (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) 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))))))) 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 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 lambda2 0.923 * [taylor]: Taking taylor expansion of 0 in phi2 0.923 * [taylor]: Taking taylor expansion of 0 in lambda1 0.923 * [taylor]: Taking taylor expansion of 0 in lambda2 0.923 * [taylor]: Taking taylor expansion of 0 in lambda1 0.923 * [taylor]: Taking taylor expansion of 0 in lambda2 0.923 * [taylor]: Taking taylor expansion of 0 in lambda2 0.923 * [taylor]: Taking taylor expansion of 0 in phi2 0.923 * [taylor]: Taking taylor expansion of 0 in lambda1 0.923 * [taylor]: Taking taylor expansion of 0 in lambda2 0.923 * [taylor]: Taking taylor expansion of 0 in lambda1 0.923 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [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 0.924 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.925 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.925 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.926 * [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 0.926 * [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 0.927 * [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 0.927 * [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 0.928 * [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 0.929 * [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 lambda1 0.929 * [taylor]: Taking taylor expansion of 0 in lambda2 0.929 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.929 * [taylor]: Taking taylor expansion of 0 in lambda2 0.930 * [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 0.930 * [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 0.931 * [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 0.931 * [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 0.932 * [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 0.935 * [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 0.935 * [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 0.936 * [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 0.936 * [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 0.937 * [taylor]: Taking taylor expansion of 0 in phi2 0.937 * [taylor]: Taking taylor expansion of 0 in lambda1 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.937 * [taylor]: Taking taylor expansion of 0 in lambda1 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.937 * [taylor]: Taking taylor expansion of 0 in phi2 0.937 * [taylor]: Taking taylor expansion of 0 in lambda1 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.937 * [taylor]: Taking taylor expansion of 0 in lambda1 0.937 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.939 * [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 0.939 * [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 0.939 * [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 0.939 * [taylor]: Taking taylor expansion of R in R 0.939 * [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 0.939 * [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 0.939 * [taylor]: Taking taylor expansion of R in lambda2 0.939 * [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 0.939 * [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 0.940 * [taylor]: Taking taylor expansion of R in lambda1 0.940 * [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 0.940 * [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 0.940 * [taylor]: Taking taylor expansion of R in phi2 0.940 * [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 0.940 * [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 0.941 * [taylor]: Taking taylor expansion of R in phi1 0.941 * [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 0.941 * [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 0.941 * [taylor]: Taking taylor expansion of R in phi1 0.941 * [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 0.941 * [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 0.942 * [taylor]: Taking taylor expansion of R in phi2 0.942 * [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 0.942 * [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 0.943 * [taylor]: Taking taylor expansion of R in lambda1 0.943 * [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 0.943 * [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 0.943 * [taylor]: Taking taylor expansion of R in lambda2 0.944 * [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 0.944 * [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 0.944 * [taylor]: Taking taylor expansion of R in R 0.945 * [taylor]: Taking taylor expansion of 0 in phi2 0.945 * [taylor]: Taking taylor expansion of 0 in lambda1 0.945 * [taylor]: Taking taylor expansion of 0 in lambda2 0.945 * [taylor]: Taking taylor expansion of 0 in R 0.945 * [taylor]: Taking taylor expansion of 0 in lambda1 0.945 * [taylor]: Taking taylor expansion of 0 in lambda2 0.945 * [taylor]: Taking taylor expansion of 0 in R 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.946 * [taylor]: Taking taylor expansion of 0 in R 0.946 * [taylor]: Taking taylor expansion of 0 in R 0.948 * [taylor]: Taking taylor expansion of 0 in phi2 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 0.948 * [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 lambda1 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 lambda2 0.949 * [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 0.950 * [taylor]: Taking taylor expansion of 0 in lambda2 0.950 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [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 0.951 * [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 0.951 * [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 0.952 * [taylor]: Taking taylor expansion of R in R 0.952 * [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 0.952 * [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 0.953 * [taylor]: Taking taylor expansion of R in lambda2 0.953 * [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 0.953 * [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 0.954 * [taylor]: Taking taylor expansion of R in lambda1 0.954 * [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 0.955 * [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 0.955 * [taylor]: Taking taylor expansion of R in phi2 0.956 * [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 0.956 * [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 0.956 * [taylor]: Taking taylor expansion of R in phi1 0.957 * [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 0.957 * [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 0.957 * [taylor]: Taking taylor expansion of R in phi1 0.958 * [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 0.958 * [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 0.958 * [taylor]: Taking taylor expansion of R in phi2 0.959 * [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 0.959 * [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 0.959 * [taylor]: Taking taylor expansion of R in lambda1 0.960 * [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 0.960 * [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 0.960 * [taylor]: Taking taylor expansion of R in lambda2 0.961 * [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 0.961 * [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 0.961 * [taylor]: Taking taylor expansion of R in R 0.963 * [taylor]: Taking taylor expansion of 0 in phi2 0.963 * [taylor]: Taking taylor expansion of 0 in lambda1 0.963 * [taylor]: Taking taylor expansion of 0 in lambda2 0.963 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [taylor]: Taking taylor expansion of 0 in lambda2 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.967 * [taylor]: Taking taylor expansion of 0 in phi2 0.967 * [taylor]: Taking taylor expansion of 0 in lambda1 0.967 * [taylor]: Taking taylor expansion of 0 in lambda2 0.967 * [taylor]: Taking taylor expansion of 0 in R 0.967 * [taylor]: Taking taylor expansion of 0 in lambda1 0.967 * [taylor]: Taking taylor expansion of 0 in lambda2 0.967 * [taylor]: Taking taylor expansion of 0 in R 0.968 * [taylor]: Taking taylor expansion of 0 in lambda1 0.968 * [taylor]: Taking taylor expansion of 0 in lambda2 0.968 * [taylor]: Taking taylor expansion of 0 in R 0.968 * [taylor]: Taking taylor expansion of 0 in lambda2 0.968 * [taylor]: Taking taylor expansion of 0 in R 0.968 * [taylor]: Taking taylor expansion of 0 in lambda2 0.968 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [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 0.973 * [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 0.973 * [taylor]: Taking taylor expansion of -1 in R 0.973 * [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 0.973 * [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 0.973 * [taylor]: Taking taylor expansion of R in R 0.974 * [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 0.974 * [taylor]: Taking taylor expansion of -1 in lambda2 0.974 * [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 0.974 * [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 0.974 * [taylor]: Taking taylor expansion of R in lambda2 0.975 * [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 0.975 * [taylor]: Taking taylor expansion of -1 in lambda1 0.975 * [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 0.975 * [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 0.975 * [taylor]: Taking taylor expansion of R in lambda1 0.976 * [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 0.976 * [taylor]: Taking taylor expansion of -1 in phi2 0.976 * [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 0.976 * [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 0.976 * [taylor]: Taking taylor expansion of R in phi2 0.977 * [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 0.977 * [taylor]: Taking taylor expansion of -1 in phi1 0.977 * [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 0.977 * [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 0.978 * [taylor]: Taking taylor expansion of R in phi1 0.978 * [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 0.978 * [taylor]: Taking taylor expansion of -1 in phi1 0.978 * [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 0.978 * [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 0.979 * [taylor]: Taking taylor expansion of R in phi1 0.980 * [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 0.980 * [taylor]: Taking taylor expansion of -1 in phi2 0.980 * [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 0.980 * [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 0.980 * [taylor]: Taking taylor expansion of R in phi2 0.981 * [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 0.981 * [taylor]: Taking taylor expansion of -1 in lambda1 0.982 * [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 0.982 * [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 0.982 * [taylor]: Taking taylor expansion of R in lambda1 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of -1 in lambda2 0.983 * [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 0.983 * [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 0.984 * [taylor]: Taking taylor expansion of R in lambda2 0.985 * [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 0.985 * [taylor]: Taking taylor expansion of -1 in R 0.985 * [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 0.985 * [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 0.985 * [taylor]: Taking taylor expansion of R in R 0.989 * [taylor]: Taking taylor expansion of 0 in phi2 0.989 * [taylor]: Taking taylor expansion of 0 in lambda1 0.989 * [taylor]: Taking taylor expansion of 0 in lambda2 0.989 * [taylor]: Taking taylor expansion of 0 in R 0.990 * [taylor]: Taking taylor expansion of 0 in lambda1 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.992 * [taylor]: Taking taylor expansion of 0 in lambda2 0.992 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [taylor]: Taking taylor expansion of 0 in phi2 0.997 * [taylor]: Taking taylor expansion of 0 in lambda1 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [taylor]: Taking taylor expansion of 0 in lambda1 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in lambda1 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in lambda2 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.003 * [taylor]: Taking taylor expansion of 0 in R 1.006 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 1.007 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.007 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.007 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.007 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.007 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.007 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.007 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.007 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.007 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.007 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.007 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.007 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.007 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.007 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.007 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.007 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.007 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.007 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.007 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.008 * [taylor]: Taking taylor expansion of 0 in lambda2 1.010 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.010 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.010 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.014 * [taylor]: Taking taylor expansion of 0 in lambda2 1.021 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.021 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.021 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.021 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.021 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.021 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.029 * [taylor]: Taking taylor expansion of 0 in lambda2 1.030 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.030 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.030 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.030 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.030 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.030 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.030 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.030 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.030 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.030 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.030 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.031 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.031 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.031 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.031 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.031 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.031 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.031 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.031 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.031 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.031 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.031 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.032 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.032 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.032 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.032 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.032 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.032 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.032 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.035 * [taylor]: Taking taylor expansion of 0 in lambda2 1.039 * [taylor]: Taking taylor expansion of 0 in lambda2 1.046 * [taylor]: Taking taylor expansion of 0 in lambda2 1.046 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.046 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.046 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.046 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.046 * [taylor]: Taking taylor expansion of -1 in lambda2 1.046 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.046 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.046 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.046 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.046 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.046 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.046 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.046 * [taylor]: Taking taylor expansion of -1 in lambda1 1.046 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.047 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.047 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.047 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.047 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.047 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.047 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.047 * [taylor]: Taking taylor expansion of -1 in lambda1 1.047 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.047 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.047 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.047 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.048 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.048 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.048 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.048 * [taylor]: Taking taylor expansion of -1 in lambda2 1.048 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.048 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.048 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.048 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.054 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.060 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.060 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.060 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.060 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.060 * [taylor]: Taking taylor expansion of phi1 in phi2 1.060 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.060 * [taylor]: Taking taylor expansion of phi2 in phi2 1.060 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.060 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.060 * [taylor]: Taking taylor expansion of phi1 in phi1 1.060 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.060 * [taylor]: Taking taylor expansion of phi2 in phi1 1.060 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.060 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.060 * [taylor]: Taking taylor expansion of phi1 in phi1 1.060 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.060 * [taylor]: Taking taylor expansion of phi2 in phi1 1.060 * [taylor]: Taking taylor expansion of 0 in phi2 1.062 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.062 * [taylor]: Taking taylor expansion of phi2 in phi2 1.065 * [taylor]: Taking taylor expansion of 0 in phi2 1.069 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.069 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.070 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.070 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.070 * [taylor]: Taking taylor expansion of phi2 in phi2 1.075 * [taylor]: Taking taylor expansion of 0 in phi2 1.075 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.075 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.075 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.075 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.075 * [taylor]: Taking taylor expansion of phi1 in phi2 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.076 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.076 * [taylor]: Taking taylor expansion of phi2 in phi2 1.076 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.076 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.076 * [taylor]: Taking taylor expansion of phi1 in phi1 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.076 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.076 * [taylor]: Taking taylor expansion of phi2 in phi1 1.076 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.076 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.076 * [taylor]: Taking taylor expansion of phi1 in phi1 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.077 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.077 * [taylor]: Taking taylor expansion of phi2 in phi1 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.077 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.077 * [taylor]: Taking taylor expansion of phi1 in phi2 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.077 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.077 * [taylor]: Taking taylor expansion of phi2 in phi2 1.079 * [taylor]: Taking taylor expansion of 0 in phi2 1.083 * [taylor]: Taking taylor expansion of 0 in phi2 1.089 * [taylor]: Taking taylor expansion of 0 in phi2 1.089 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.089 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.089 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.089 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.089 * [taylor]: Taking taylor expansion of -1 in phi2 1.089 * [taylor]: Taking taylor expansion of phi1 in phi2 1.089 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.089 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.089 * [taylor]: Taking taylor expansion of -1 in phi2 1.089 * [taylor]: Taking taylor expansion of phi2 in phi2 1.089 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.089 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.089 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.089 * [taylor]: Taking taylor expansion of -1 in phi1 1.089 * [taylor]: Taking taylor expansion of phi1 in phi1 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.090 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.090 * [taylor]: Taking taylor expansion of -1 in phi1 1.090 * [taylor]: Taking taylor expansion of phi2 in phi1 1.090 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.090 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.090 * [taylor]: Taking taylor expansion of -1 in phi1 1.090 * [taylor]: Taking taylor expansion of phi1 in phi1 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.090 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.090 * [taylor]: Taking taylor expansion of -1 in phi1 1.090 * [taylor]: Taking taylor expansion of phi2 in phi1 1.091 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.091 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.091 * [taylor]: Taking taylor expansion of -1 in phi2 1.091 * [taylor]: Taking taylor expansion of phi1 in phi2 1.091 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.091 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.091 * [taylor]: Taking taylor expansion of -1 in phi2 1.091 * [taylor]: Taking taylor expansion of phi2 in phi2 1.093 * [taylor]: Taking taylor expansion of 0 in phi2 1.097 * [taylor]: Taking taylor expansion of 0 in phi2 1.105 * [taylor]: Taking taylor expansion of 0 in phi2 1.105 * * * [progress]: simplifying candidates 1.106 * [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 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))) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin 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) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.112 * * [simplify]: iteration 0 : 292 enodes (cost 1092 ) 1.117 * * [simplify]: iteration 1 : 949 enodes (cost 951 ) 1.132 * * [simplify]: iteration 2 : 2618 enodes (cost 927 ) 1.166 * * [simplify]: iteration 3 : 5002 enodes (cost 927 ) 1.169 * [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 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))) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (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) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.170 * * * [progress]: adding candidates to table 1.557 * * [progress]: iteration 3 / 4 1.557 * * * [progress]: picking best candidate 1.634 * * * * [pick]: Picked # 1.634 * * * [progress]: localizing error 1.668 * * * [progress]: generating rewritten candidates 1.668 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.669 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 1.671 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1 1) 1.677 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.682 * * * [progress]: generating series expansions 1.682 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.683 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.683 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 1.683 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 1.683 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 1.684 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 1.684 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 1.685 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 1.685 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 1.685 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 1.686 * [taylor]: Taking taylor expansion of 0 in phi2 1.686 * [taylor]: Taking taylor expansion of 0 in lambda1 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [taylor]: Taking taylor expansion of 0 in lambda1 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.686 * [taylor]: Taking taylor expansion of 0 in phi2 1.686 * [taylor]: Taking taylor expansion of 0 in lambda1 1.686 * [taylor]: Taking taylor expansion of 0 in lambda2 1.687 * [taylor]: Taking taylor expansion of 0 in lambda1 1.687 * [taylor]: Taking taylor expansion of 0 in lambda2 1.687 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.687 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 1.688 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 1.688 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 1.689 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 1.689 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 1.690 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 1.691 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 1.691 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 1.692 * [taylor]: Taking taylor expansion of 0 in phi2 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [taylor]: Taking taylor expansion of 0 in phi2 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.692 * [taylor]: Taking taylor expansion of 0 in lambda1 1.692 * [taylor]: Taking taylor expansion of 0 in lambda2 1.694 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.694 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 1.694 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 1.695 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 1.695 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 1.696 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 1.696 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 1.697 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 1.697 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 1.698 * [taylor]: Taking taylor expansion of 0 in phi2 1.698 * [taylor]: Taking taylor expansion of 0 in lambda1 1.698 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [taylor]: Taking taylor expansion of 0 in lambda1 1.698 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [taylor]: Taking taylor expansion of 0 in lambda2 1.698 * [taylor]: Taking taylor expansion of 0 in phi2 1.698 * [taylor]: Taking taylor expansion of 0 in lambda1 1.699 * [taylor]: Taking taylor expansion of 0 in lambda2 1.699 * [taylor]: Taking taylor expansion of 0 in lambda1 1.699 * [taylor]: Taking taylor expansion of 0 in lambda2 1.699 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.700 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.700 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in R 1.700 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in R 1.700 * [taylor]: Taking taylor expansion of R in R 1.700 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda2 1.700 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 1.701 * [taylor]: Taking taylor expansion of R in lambda2 1.701 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda1 1.701 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 1.701 * [taylor]: Taking taylor expansion of R in lambda1 1.701 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi2 1.701 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 1.702 * [taylor]: Taking taylor expansion of R in phi2 1.702 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi1 1.702 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 1.702 * [taylor]: Taking taylor expansion of R in phi1 1.702 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi1 1.702 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 1.702 * [taylor]: Taking taylor expansion of R in phi1 1.703 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi2 1.703 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 1.703 * [taylor]: Taking taylor expansion of R in phi2 1.704 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda1 1.704 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 1.704 * [taylor]: Taking taylor expansion of R in lambda1 1.704 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda2 1.704 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 1.705 * [taylor]: Taking taylor expansion of R in lambda2 1.707 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in R 1.707 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in R 1.708 * [taylor]: Taking taylor expansion of R in R 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 R 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 R 1.710 * [taylor]: Taking taylor expansion of 0 in lambda2 1.710 * [taylor]: Taking taylor expansion of 0 in R 1.710 * [taylor]: Taking taylor expansion of 0 in R 1.712 * [taylor]: Taking taylor expansion of 0 in phi2 1.712 * [taylor]: Taking taylor expansion of 0 in lambda1 1.712 * [taylor]: Taking taylor expansion of 0 in lambda2 1.712 * [taylor]: Taking taylor expansion of 0 in R 1.712 * [taylor]: Taking taylor expansion of 0 in lambda1 1.712 * [taylor]: Taking taylor expansion of 0 in lambda2 1.712 * [taylor]: Taking taylor expansion of 0 in R 1.713 * [taylor]: Taking taylor expansion of 0 in lambda1 1.713 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [taylor]: Taking taylor expansion of 0 in R 1.713 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [taylor]: Taking taylor expansion of 0 in R 1.713 * [taylor]: Taking taylor expansion of 0 in lambda2 1.713 * [taylor]: Taking taylor expansion of 0 in R 1.714 * [taylor]: Taking taylor expansion of 0 in lambda2 1.714 * [taylor]: Taking taylor expansion of 0 in R 1.715 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.715 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in R 1.715 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in R 1.716 * [taylor]: Taking taylor expansion of R in R 1.716 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda2 1.716 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 1.717 * [taylor]: Taking taylor expansion of R in lambda2 1.717 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda1 1.717 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 1.718 * [taylor]: Taking taylor expansion of R in lambda1 1.719 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi2 1.719 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 1.719 * [taylor]: Taking taylor expansion of R in phi2 1.720 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi1 1.720 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 1.720 * [taylor]: Taking taylor expansion of R in phi1 1.721 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi1 1.721 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 1.721 * [taylor]: Taking taylor expansion of R in phi1 1.722 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi2 1.722 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 1.722 * [taylor]: Taking taylor expansion of R in phi2 1.723 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda1 1.723 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 1.723 * [taylor]: Taking taylor expansion of R in lambda1 1.724 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda2 1.724 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 1.725 * [taylor]: Taking taylor expansion of R in lambda2 1.725 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in R 1.725 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in R 1.726 * [taylor]: Taking taylor expansion of R in R 1.727 * [taylor]: Taking taylor expansion of 0 in phi2 1.727 * [taylor]: Taking taylor expansion of 0 in lambda1 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in R 1.728 * [taylor]: Taking taylor expansion of 0 in lambda1 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in R 1.729 * [taylor]: Taking taylor expansion of 0 in lambda2 1.729 * [taylor]: Taking taylor expansion of 0 in R 1.730 * [taylor]: Taking taylor expansion of 0 in R 1.731 * [taylor]: Taking taylor expansion of 0 in phi2 1.731 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [taylor]: Taking taylor expansion of 0 in R 1.732 * [taylor]: Taking taylor expansion of 0 in lambda1 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [taylor]: Taking taylor expansion of 0 in R 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [taylor]: Taking taylor expansion of 0 in R 1.732 * [taylor]: Taking taylor expansion of 0 in lambda2 1.732 * [taylor]: Taking taylor expansion of 0 in R 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 R 1.733 * [taylor]: Taking taylor expansion of 0 in R 1.733 * [taylor]: Taking taylor expansion of 0 in R 1.734 * [taylor]: Taking taylor expansion of 0 in R 1.737 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.737 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in R 1.737 * [taylor]: Taking taylor expansion of -1 in R 1.737 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in R 1.737 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in R 1.738 * [taylor]: Taking taylor expansion of R in R 1.738 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda2 1.738 * [taylor]: Taking taylor expansion of -1 in lambda2 1.738 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda2 1.738 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 1.739 * [taylor]: Taking taylor expansion of R in lambda2 1.739 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda1 1.739 * [taylor]: Taking taylor expansion of -1 in lambda1 1.739 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda1 1.739 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 1.740 * [taylor]: Taking taylor expansion of R in lambda1 1.740 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi2 1.740 * [taylor]: Taking taylor expansion of -1 in phi2 1.740 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi2 1.740 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 1.741 * [taylor]: Taking taylor expansion of R in phi2 1.741 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi1 1.741 * [taylor]: Taking taylor expansion of -1 in phi1 1.741 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi1 1.741 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 1.742 * [taylor]: Taking taylor expansion of R in phi1 1.742 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi1 1.742 * [taylor]: Taking taylor expansion of -1 in phi1 1.742 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi1 1.742 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 1.743 * [taylor]: Taking taylor expansion of R in phi1 1.744 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi2 1.744 * [taylor]: Taking taylor expansion of -1 in phi2 1.744 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi2 1.744 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 1.745 * [taylor]: Taking taylor expansion of R in phi2 1.746 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda1 1.746 * [taylor]: Taking taylor expansion of -1 in lambda1 1.746 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda1 1.746 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 1.746 * [taylor]: Taking taylor expansion of R in lambda1 1.747 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda2 1.747 * [taylor]: Taking taylor expansion of -1 in lambda2 1.747 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda2 1.747 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 1.748 * [taylor]: Taking taylor expansion of R in lambda2 1.749 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in R 1.749 * [taylor]: Taking taylor expansion of -1 in R 1.749 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in R 1.749 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in R 1.750 * [taylor]: Taking taylor expansion of R in R 1.753 * [taylor]: Taking taylor expansion of 0 in phi2 1.753 * [taylor]: Taking taylor expansion of 0 in lambda1 1.753 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * [taylor]: Taking taylor expansion of 0 in R 1.754 * [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 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.756 * [taylor]: Taking taylor expansion of 0 in R 1.758 * [taylor]: Taking taylor expansion of 0 in R 1.761 * [taylor]: Taking taylor expansion of 0 in phi2 1.761 * [taylor]: Taking taylor expansion of 0 in lambda1 1.761 * [taylor]: Taking taylor expansion of 0 in lambda2 1.761 * [taylor]: Taking taylor expansion of 0 in R 1.761 * [taylor]: Taking taylor expansion of 0 in lambda1 1.761 * [taylor]: Taking taylor expansion of 0 in lambda2 1.761 * [taylor]: Taking taylor expansion of 0 in R 1.763 * [taylor]: Taking taylor expansion of 0 in lambda1 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.763 * [taylor]: Taking taylor expansion of 0 in lambda2 1.763 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.765 * [taylor]: Taking taylor expansion of 0 in R 1.767 * [taylor]: Taking taylor expansion of 0 in R 1.770 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1 1) 1.771 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.771 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.771 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.771 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.771 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.771 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.771 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.771 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.771 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.771 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.771 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.771 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.771 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.771 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.771 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.771 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.771 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.771 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.771 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.772 * [taylor]: Taking taylor expansion of 0 in lambda2 1.774 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.774 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.774 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.778 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.783 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.783 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.783 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.783 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.783 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.793 * [taylor]: Taking taylor expansion of 0 in lambda2 1.793 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.793 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.793 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.793 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.793 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.793 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.793 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.793 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.793 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.794 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.794 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.794 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.794 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.794 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.794 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.795 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.795 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.795 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.795 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.795 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.795 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.795 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.795 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.795 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.795 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.795 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.795 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.795 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.796 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.798 * [taylor]: Taking taylor expansion of 0 in lambda2 1.803 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.809 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.809 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.809 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.809 * [taylor]: Taking taylor expansion of -1 in lambda2 1.809 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.809 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.809 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.809 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.809 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.809 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.809 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.809 * [taylor]: Taking taylor expansion of -1 in lambda1 1.809 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.810 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.810 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.810 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.810 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.810 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.810 * [taylor]: Taking taylor expansion of -1 in lambda1 1.810 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.810 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.810 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.810 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.811 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.811 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.811 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.811 * [taylor]: Taking taylor expansion of -1 in lambda2 1.811 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.811 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.811 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.811 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.813 * [taylor]: Taking taylor expansion of 0 in lambda2 1.817 * [taylor]: Taking taylor expansion of 0 in lambda2 1.822 * [taylor]: Taking taylor expansion of 0 in lambda2 1.822 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.822 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.822 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.822 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.822 * [taylor]: Taking taylor expansion of phi1 in phi2 1.822 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.822 * [taylor]: Taking taylor expansion of phi2 in phi2 1.822 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.822 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.822 * [taylor]: Taking taylor expansion of phi1 in phi1 1.822 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.822 * [taylor]: Taking taylor expansion of phi2 in phi1 1.822 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.822 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.822 * [taylor]: Taking taylor expansion of phi1 in phi1 1.822 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.822 * [taylor]: Taking taylor expansion of phi2 in phi1 1.823 * [taylor]: Taking taylor expansion of 0 in phi2 1.825 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.825 * [taylor]: Taking taylor expansion of phi2 in phi2 1.827 * [taylor]: Taking taylor expansion of 0 in phi2 1.831 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.832 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.832 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.832 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.832 * [taylor]: Taking taylor expansion of phi2 in phi2 1.837 * [taylor]: Taking taylor expansion of 0 in phi2 1.837 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.837 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.837 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.837 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.837 * [taylor]: Taking taylor expansion of phi1 in phi2 1.837 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.837 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.837 * [taylor]: Taking taylor expansion of phi2 in phi2 1.838 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.838 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.838 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.838 * [taylor]: Taking taylor expansion of phi1 in phi1 1.838 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.838 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.838 * [taylor]: Taking taylor expansion of phi2 in phi1 1.838 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.838 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.838 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.838 * [taylor]: Taking taylor expansion of phi1 in phi1 1.838 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.839 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.839 * [taylor]: Taking taylor expansion of phi2 in phi1 1.839 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.839 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.839 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.839 * [taylor]: Taking taylor expansion of phi1 in phi2 1.839 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.839 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.839 * [taylor]: Taking taylor expansion of phi2 in phi2 1.841 * [taylor]: Taking taylor expansion of 0 in phi2 1.845 * [taylor]: Taking taylor expansion of 0 in phi2 1.850 * [taylor]: Taking taylor expansion of 0 in phi2 1.850 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.850 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.850 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.850 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.850 * [taylor]: Taking taylor expansion of -1 in phi2 1.850 * [taylor]: Taking taylor expansion of phi1 in phi2 1.851 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.851 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.851 * [taylor]: Taking taylor expansion of -1 in phi2 1.851 * [taylor]: Taking taylor expansion of phi2 in phi2 1.851 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.851 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.851 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.851 * [taylor]: Taking taylor expansion of -1 in phi1 1.851 * [taylor]: Taking taylor expansion of phi1 in phi1 1.851 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.851 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.851 * [taylor]: Taking taylor expansion of -1 in phi1 1.851 * [taylor]: Taking taylor expansion of phi2 in phi1 1.851 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.851 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.851 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.852 * [taylor]: Taking taylor expansion of -1 in phi1 1.852 * [taylor]: Taking taylor expansion of phi1 in phi1 1.852 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.852 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.852 * [taylor]: Taking taylor expansion of -1 in phi1 1.852 * [taylor]: Taking taylor expansion of phi2 in phi1 1.852 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.852 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.852 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.852 * [taylor]: Taking taylor expansion of -1 in phi2 1.852 * [taylor]: Taking taylor expansion of phi1 in phi2 1.852 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.852 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.852 * [taylor]: Taking taylor expansion of -1 in phi2 1.852 * [taylor]: Taking taylor expansion of phi2 in phi2 1.855 * [taylor]: Taking taylor expansion of 0 in phi2 1.858 * [taylor]: Taking taylor expansion of 0 in phi2 1.864 * [taylor]: Taking taylor expansion of 0 in phi2 1.864 * * * [progress]: simplifying candidates 1.865 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (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))) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (cos phi1) (* (log1p (expm1 (* (sin lambda1) (sin (* -1 lambda2))))) (cos phi2))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) (* R (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (cos phi1) (* (log1p (expm1 (* (sin lambda1) (sin (* -1 lambda2))))) (cos phi2)))))) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.873 * * [simplify]: iteration 0 : 288 enodes (cost 1180 ) 1.878 * * [simplify]: iteration 1 : 959 enodes (cost 1003 ) 1.891 * * [simplify]: iteration 2 : 2579 enodes (cost 1003 ) 1.923 * * [simplify]: iteration 3 : 5001 enodes (cost 1003 ) 1.927 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (expm1 (* (sin lambda1) (sin (* -1 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))) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.927 * * * [progress]: adding candidates to table 2.361 * * [progress]: iteration 4 / 4 2.361 * * * [progress]: picking best candidate 2.438 * * * * [pick]: Picked # 2.438 * * * [progress]: localizing error 2.481 * * * [progress]: generating rewritten candidates 2.482 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.482 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.484 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 2.485 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.493 * * * [progress]: generating series expansions 2.493 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.493 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.493 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.494 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.494 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.494 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.495 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.495 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.496 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.496 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.497 * [taylor]: Taking taylor expansion of 0 in phi2 2.497 * [taylor]: Taking taylor expansion of 0 in lambda1 2.497 * [taylor]: Taking taylor expansion of 0 in lambda2 2.497 * [taylor]: Taking taylor expansion of 0 in lambda1 2.497 * [taylor]: Taking taylor expansion of 0 in lambda2 2.497 * [taylor]: Taking taylor expansion of 0 in lambda2 2.497 * [taylor]: Taking taylor expansion of 0 in phi2 2.497 * [taylor]: Taking taylor expansion of 0 in lambda1 2.497 * [taylor]: Taking taylor expansion of 0 in lambda2 2.497 * [taylor]: Taking taylor expansion of 0 in lambda1 2.497 * [taylor]: Taking taylor expansion of 0 in lambda2 2.498 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.498 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.498 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.499 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.499 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.500 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.501 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.501 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.502 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.503 * [taylor]: Taking taylor expansion of 0 in phi2 2.503 * [taylor]: Taking taylor expansion of 0 in lambda1 2.503 * [taylor]: Taking taylor expansion of 0 in lambda2 2.503 * [taylor]: Taking taylor expansion of 0 in lambda1 2.503 * [taylor]: Taking taylor expansion of 0 in lambda2 2.503 * [taylor]: Taking taylor expansion of 0 in lambda2 2.503 * [taylor]: Taking taylor expansion of 0 in phi2 2.503 * [taylor]: Taking taylor expansion of 0 in lambda1 2.503 * [taylor]: Taking taylor expansion of 0 in lambda2 2.503 * [taylor]: Taking taylor expansion of 0 in lambda1 2.503 * [taylor]: Taking taylor expansion of 0 in lambda2 2.504 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.504 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.505 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.505 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.506 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.506 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.507 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.507 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.508 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.509 * [taylor]: Taking taylor expansion of 0 in phi2 2.509 * [taylor]: Taking taylor expansion of 0 in lambda1 2.509 * [taylor]: Taking taylor expansion of 0 in lambda2 2.509 * [taylor]: Taking taylor expansion of 0 in lambda1 2.509 * [taylor]: Taking taylor expansion of 0 in lambda2 2.509 * [taylor]: Taking taylor expansion of 0 in lambda2 2.509 * [taylor]: Taking taylor expansion of 0 in phi2 2.509 * [taylor]: Taking taylor expansion of 0 in lambda1 2.509 * [taylor]: Taking taylor expansion of 0 in lambda2 2.509 * [taylor]: Taking taylor expansion of 0 in lambda1 2.509 * [taylor]: Taking taylor expansion of 0 in lambda2 2.510 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.511 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.511 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.511 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.511 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.512 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.512 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.513 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.513 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.513 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.514 * [taylor]: Taking taylor expansion of 0 in phi2 2.514 * [taylor]: Taking taylor expansion of 0 in lambda1 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.514 * [taylor]: Taking taylor expansion of 0 in lambda1 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.514 * [taylor]: Taking taylor expansion of 0 in phi2 2.514 * [taylor]: Taking taylor expansion of 0 in lambda1 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.514 * [taylor]: Taking taylor expansion of 0 in lambda1 2.514 * [taylor]: Taking taylor expansion of 0 in lambda2 2.515 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.515 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.516 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.516 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.517 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.517 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.518 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.519 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.519 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.520 * [taylor]: Taking taylor expansion of 0 in phi2 2.520 * [taylor]: Taking taylor expansion of 0 in lambda1 2.520 * [taylor]: Taking taylor expansion of 0 in lambda2 2.520 * [taylor]: Taking taylor expansion of 0 in lambda1 2.520 * [taylor]: Taking taylor expansion of 0 in lambda2 2.520 * [taylor]: Taking taylor expansion of 0 in lambda2 2.520 * [taylor]: Taking taylor expansion of 0 in phi2 2.520 * [taylor]: Taking taylor expansion of 0 in lambda1 2.520 * [taylor]: Taking taylor expansion of 0 in lambda2 2.520 * [taylor]: Taking taylor expansion of 0 in lambda1 2.520 * [taylor]: Taking taylor expansion of 0 in lambda2 2.522 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.522 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.522 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.523 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.523 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.524 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.524 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.525 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.525 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.527 * [taylor]: Taking taylor expansion of 0 in phi2 2.527 * [taylor]: Taking taylor expansion of 0 in lambda1 2.527 * [taylor]: Taking taylor expansion of 0 in lambda2 2.527 * [taylor]: Taking taylor expansion of 0 in lambda1 2.527 * [taylor]: Taking taylor expansion of 0 in lambda2 2.527 * [taylor]: Taking taylor expansion of 0 in lambda2 2.527 * [taylor]: Taking taylor expansion of 0 in phi2 2.527 * [taylor]: Taking taylor expansion of 0 in lambda1 2.527 * [taylor]: Taking taylor expansion of 0 in lambda2 2.527 * [taylor]: Taking taylor expansion of 0 in lambda1 2.527 * [taylor]: Taking taylor expansion of 0 in lambda2 2.528 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.528 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.528 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in lambda2 2.528 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.529 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in lambda1 2.529 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.530 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in phi2 2.530 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.531 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in phi1 2.531 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.532 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in phi1 2.532 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.532 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in phi2 2.533 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.533 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in lambda1 2.533 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.534 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) in lambda2 2.534 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.537 * [taylor]: Taking taylor expansion of 0 in phi2 2.537 * [taylor]: Taking taylor expansion of 0 in lambda1 2.537 * [taylor]: Taking taylor expansion of 0 in lambda2 2.538 * [taylor]: Taking taylor expansion of 0 in lambda1 2.538 * [taylor]: Taking taylor expansion of 0 in lambda2 2.539 * [taylor]: Taking taylor expansion of 0 in lambda2 2.541 * [taylor]: Taking taylor expansion of 0 in phi2 2.541 * [taylor]: Taking taylor expansion of 0 in lambda1 2.541 * [taylor]: Taking taylor expansion of 0 in lambda2 2.541 * [taylor]: Taking taylor expansion of 0 in lambda1 2.541 * [taylor]: Taking taylor expansion of 0 in lambda2 2.542 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.542 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in lambda2 2.542 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.543 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in lambda1 2.543 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.544 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in phi2 2.544 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.545 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in phi1 2.545 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.546 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in phi1 2.546 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.547 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in phi2 2.547 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.548 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in lambda1 2.548 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.549 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))))))) in lambda2 2.549 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.552 * [taylor]: Taking taylor expansion of 0 in phi2 2.552 * [taylor]: Taking taylor expansion of 0 in lambda1 2.552 * [taylor]: Taking taylor expansion of 0 in lambda2 2.553 * [taylor]: Taking taylor expansion of 0 in lambda1 2.553 * [taylor]: Taking taylor expansion of 0 in lambda2 2.554 * [taylor]: Taking taylor expansion of 0 in lambda2 2.560 * [taylor]: Taking taylor expansion of 0 in phi2 2.560 * [taylor]: Taking taylor expansion of 0 in lambda1 2.560 * [taylor]: Taking taylor expansion of 0 in lambda2 2.560 * [taylor]: Taking taylor expansion of 0 in lambda1 2.560 * [taylor]: Taking taylor expansion of 0 in lambda2 2.561 * [approximate]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.561 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in lambda2 2.561 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.562 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in lambda1 2.562 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.563 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in phi2 2.563 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.564 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in phi1 2.564 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.565 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in phi1 2.565 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.566 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in phi2 2.567 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.568 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in lambda1 2.568 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.569 * [taylor]: Taking taylor expansion of (exp (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2))))))) in lambda2 2.569 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.571 * [taylor]: Taking taylor expansion of 0 in phi2 2.571 * [taylor]: Taking taylor expansion of 0 in lambda1 2.571 * [taylor]: Taking taylor expansion of 0 in lambda2 2.573 * [taylor]: Taking taylor expansion of 0 in lambda1 2.573 * [taylor]: Taking taylor expansion of 0 in lambda2 2.574 * [taylor]: Taking taylor expansion of 0 in lambda2 2.576 * [taylor]: Taking taylor expansion of 0 in phi2 2.576 * [taylor]: Taking taylor expansion of 0 in lambda1 2.576 * [taylor]: Taking taylor expansion of 0 in lambda2 2.576 * [taylor]: Taking taylor expansion of 0 in lambda1 2.576 * [taylor]: Taking taylor expansion of 0 in lambda2 2.577 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.578 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.578 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in R 2.578 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in R 2.578 * [taylor]: Taking taylor expansion of R in R 2.578 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda2 2.578 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.578 * [taylor]: Taking taylor expansion of R in lambda2 2.579 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda1 2.579 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.579 * [taylor]: Taking taylor expansion of R in lambda1 2.579 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi2 2.579 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.579 * [taylor]: Taking taylor expansion of R in phi2 2.579 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi1 2.579 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.580 * [taylor]: Taking taylor expansion of R in phi1 2.580 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi1 2.580 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi1 2.580 * [taylor]: Taking taylor expansion of R in phi1 2.581 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in phi2 2.581 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in phi2 2.581 * [taylor]: Taking taylor expansion of R in phi2 2.581 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda1 2.581 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda1 2.582 * [taylor]: Taking taylor expansion of R in lambda1 2.582 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in lambda2 2.582 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in lambda2 2.583 * [taylor]: Taking taylor expansion of R in lambda2 2.583 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) in R 2.583 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) in R 2.583 * [taylor]: Taking taylor expansion of R in R 2.584 * [taylor]: Taking taylor expansion of 0 in phi2 2.584 * [taylor]: Taking taylor expansion of 0 in lambda1 2.584 * [taylor]: Taking taylor expansion of 0 in lambda2 2.584 * [taylor]: Taking taylor expansion of 0 in R 2.585 * [taylor]: Taking taylor expansion of 0 in lambda1 2.585 * [taylor]: Taking taylor expansion of 0 in lambda2 2.585 * [taylor]: Taking taylor expansion of 0 in R 2.585 * [taylor]: Taking taylor expansion of 0 in lambda2 2.585 * [taylor]: Taking taylor expansion of 0 in R 2.586 * [taylor]: Taking taylor expansion of 0 in R 2.588 * [taylor]: Taking taylor expansion of 0 in phi2 2.588 * [taylor]: Taking taylor expansion of 0 in lambda1 2.588 * [taylor]: Taking taylor expansion of 0 in lambda2 2.588 * [taylor]: Taking taylor expansion of 0 in R 2.588 * [taylor]: Taking taylor expansion of 0 in lambda1 2.588 * [taylor]: Taking taylor expansion of 0 in lambda2 2.588 * [taylor]: Taking taylor expansion of 0 in R 2.589 * [taylor]: Taking taylor expansion of 0 in lambda1 2.589 * [taylor]: Taking taylor expansion of 0 in lambda2 2.589 * [taylor]: Taking taylor expansion of 0 in R 2.589 * [taylor]: Taking taylor expansion of 0 in lambda2 2.589 * [taylor]: Taking taylor expansion of 0 in R 2.589 * [taylor]: Taking taylor expansion of 0 in lambda2 2.589 * [taylor]: Taking taylor expansion of 0 in R 2.590 * [taylor]: Taking taylor expansion of 0 in lambda2 2.590 * [taylor]: Taking taylor expansion of 0 in R 2.591 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.591 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in R 2.591 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in R 2.592 * [taylor]: Taking taylor expansion of R in R 2.592 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda2 2.592 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.593 * [taylor]: Taking taylor expansion of R in lambda2 2.593 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda1 2.593 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.594 * [taylor]: Taking taylor expansion of R in lambda1 2.594 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi2 2.594 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.595 * [taylor]: Taking taylor expansion of R in phi2 2.595 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi1 2.595 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.596 * [taylor]: Taking taylor expansion of R in phi1 2.597 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi1 2.597 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi1 2.597 * [taylor]: Taking taylor expansion of R in phi1 2.598 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in phi2 2.598 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in phi2 2.598 * [taylor]: Taking taylor expansion of R in phi2 2.599 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda1 2.599 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda1 2.599 * [taylor]: Taking taylor expansion of R in lambda1 2.600 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in lambda2 2.600 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in lambda2 2.601 * [taylor]: Taking taylor expansion of R in lambda2 2.601 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) R) in R 2.601 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (log1p (expm1 (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))))))) in R 2.602 * [taylor]: Taking taylor expansion of R in R 2.604 * [taylor]: Taking taylor expansion of 0 in phi2 2.604 * [taylor]: Taking taylor expansion of 0 in lambda1 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in R 2.604 * [taylor]: Taking taylor expansion of 0 in lambda1 2.604 * [taylor]: Taking taylor expansion of 0 in lambda2 2.604 * [taylor]: Taking taylor expansion of 0 in R 2.605 * [taylor]: Taking taylor expansion of 0 in lambda2 2.605 * [taylor]: Taking taylor expansion of 0 in R 2.606 * [taylor]: Taking taylor expansion of 0 in R 2.608 * [taylor]: Taking taylor expansion of 0 in phi2 2.608 * [taylor]: Taking taylor expansion of 0 in lambda1 2.608 * [taylor]: Taking taylor expansion of 0 in lambda2 2.608 * [taylor]: Taking taylor expansion of 0 in R 2.608 * [taylor]: Taking taylor expansion of 0 in lambda1 2.608 * [taylor]: Taking taylor expansion of 0 in lambda2 2.608 * [taylor]: Taking taylor expansion of 0 in R 2.609 * [taylor]: Taking taylor expansion of 0 in lambda1 2.609 * [taylor]: Taking taylor expansion of 0 in lambda2 2.609 * [taylor]: Taking taylor expansion of 0 in R 2.609 * [taylor]: Taking taylor expansion of 0 in lambda2 2.609 * [taylor]: Taking taylor expansion of 0 in R 2.609 * [taylor]: Taking taylor expansion of 0 in lambda2 2.609 * [taylor]: Taking taylor expansion of 0 in R 2.610 * [taylor]: Taking taylor expansion of 0 in lambda2 2.610 * [taylor]: Taking taylor expansion of 0 in R 2.610 * [taylor]: Taking taylor expansion of 0 in R 2.610 * [taylor]: Taking taylor expansion of 0 in R 2.610 * [taylor]: Taking taylor expansion of 0 in R 2.610 * [taylor]: Taking taylor expansion of 0 in R 2.614 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.614 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in R 2.614 * [taylor]: Taking taylor expansion of -1 in R 2.614 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in R 2.614 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in R 2.614 * [taylor]: Taking taylor expansion of R in R 2.615 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda2 2.615 * [taylor]: Taking taylor expansion of -1 in lambda2 2.615 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda2 2.615 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.615 * [taylor]: Taking taylor expansion of R in lambda2 2.616 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda1 2.616 * [taylor]: Taking taylor expansion of -1 in lambda1 2.616 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda1 2.616 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.617 * [taylor]: Taking taylor expansion of R in lambda1 2.617 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi2 2.617 * [taylor]: Taking taylor expansion of -1 in phi2 2.617 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi2 2.617 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.618 * [taylor]: Taking taylor expansion of R in phi2 2.618 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi1 2.618 * [taylor]: Taking taylor expansion of -1 in phi1 2.618 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi1 2.618 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.619 * [taylor]: Taking taylor expansion of R in phi1 2.619 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi1 2.619 * [taylor]: Taking taylor expansion of -1 in phi1 2.619 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi1 2.619 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi1 2.620 * [taylor]: Taking taylor expansion of R in phi1 2.621 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in phi2 2.621 * [taylor]: Taking taylor expansion of -1 in phi2 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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in phi2 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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in phi2 2.622 * [taylor]: Taking taylor expansion of R in phi2 2.623 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda1 2.623 * [taylor]: Taking taylor expansion of -1 in lambda1 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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda1 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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda1 2.623 * [taylor]: Taking taylor expansion of R in lambda1 2.624 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in lambda2 2.624 * [taylor]: Taking taylor expansion of -1 in lambda2 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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in lambda2 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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in lambda2 2.625 * [taylor]: Taking taylor expansion of R in lambda2 2.626 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R)) in R 2.626 * [taylor]: Taking taylor expansion of -1 in R 2.626 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) R) in R 2.626 * [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)) (* (log1p (expm1 (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))))) (cos (/ -1 phi2)))))) in R 2.627 * [taylor]: Taking taylor expansion of R in R 2.630 * [taylor]: Taking taylor expansion of 0 in phi2 2.630 * [taylor]: Taking taylor expansion of 0 in lambda1 2.630 * [taylor]: Taking taylor expansion of 0 in lambda2 2.630 * [taylor]: Taking taylor expansion of 0 in R 2.632 * [taylor]: Taking taylor expansion of 0 in lambda1 2.632 * [taylor]: Taking taylor expansion of 0 in lambda2 2.632 * [taylor]: Taking taylor expansion of 0 in R 2.633 * [taylor]: Taking taylor expansion of 0 in lambda2 2.633 * [taylor]: Taking taylor expansion of 0 in R 2.635 * [taylor]: Taking taylor expansion of 0 in R 2.639 * [taylor]: Taking taylor expansion of 0 in phi2 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [taylor]: Taking taylor expansion of 0 in R 2.639 * [taylor]: Taking taylor expansion of 0 in lambda1 2.639 * [taylor]: Taking taylor expansion of 0 in lambda2 2.639 * [taylor]: Taking taylor expansion of 0 in R 2.641 * [taylor]: Taking taylor expansion of 0 in lambda1 2.641 * [taylor]: Taking taylor expansion of 0 in lambda2 2.641 * [taylor]: Taking taylor expansion of 0 in R 2.641 * [taylor]: Taking taylor expansion of 0 in lambda2 2.641 * [taylor]: Taking taylor expansion of 0 in R 2.641 * [taylor]: Taking taylor expansion of 0 in lambda2 2.641 * [taylor]: Taking taylor expansion of 0 in R 2.645 * [taylor]: Taking taylor expansion of 0 in lambda2 2.645 * [taylor]: Taking taylor expansion of 0 in R 2.645 * [taylor]: Taking taylor expansion of 0 in R 2.645 * [taylor]: Taking taylor expansion of 0 in R 2.645 * [taylor]: Taking taylor expansion of 0 in R 2.647 * [taylor]: Taking taylor expansion of 0 in R 2.650 * * * [progress]: simplifying candidates 2.652 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (expm1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log1p (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (expm1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (log1p (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (expm1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (log1p (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R) (* (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (cos phi1) (* (log1p (expm1 (* (sin lambda1) (sin (* -1 lambda2))))) (cos phi2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (cos phi1) (* (log1p (expm1 (* (sin lambda1) (sin (* -1 lambda2))))) (cos phi2))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2)))))) (exp (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (cos phi1) (* (log1p (expm1 (* (sin lambda1) (sin (* -1 lambda2))))) (cos phi2)))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))) (* (cos phi1) (cos phi2))))) R) (* R (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (cos phi1) (* (log1p (expm1 (* (sin lambda1) (sin (* -1 lambda2))))) (cos phi2)))))) 2.659 * * [simplify]: iteration 0 : 201 enodes (cost 1984 ) 2.662 * * [simplify]: iteration 1 : 476 enodes (cost 1703 ) 2.670 * * [simplify]: iteration 2 : 1189 enodes (cost 1699 ) 2.685 * * [simplify]: iteration 3 : 2166 enodes (cost 1699 ) 2.716 * * [simplify]: iteration 4 : 4912 enodes (cost 1695 ) 2.787 * * [simplify]: iteration 5 : 5001 enodes (cost 1695 ) 2.793 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) 2) (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) 2) 0 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) 1 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (expm1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (log1p (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) E (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) 3) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) 1/2) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) 1/2) (expm1 (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (log1p (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (+ (log R) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) R) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) 3) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) 3) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (sqrt R)) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (cbrt R)) (cbrt R)) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) R (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (log1p (expm1 (* (sin lambda1) (sin (- lambda2)))))))))) 2.794 * * * [progress]: adding candidates to table 3.227 * [progress]: [Phase 3 of 3] Extracting. 3.228 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 3.249 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.250 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # #) 3.370 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 3.391 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # #) 3.511 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 3.534 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 3.651 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 3.769 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 3.886 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 4.004 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 4.123 * * * [regime]: Found split indices: #