11.275 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.274 * * * [progress]: [2/2] Setting up program. 0.280 * [progress]: [Phase 2 of 3] Improving. 0.280 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.281 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.283 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.286 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.289 * * [simplify]: iteration done : 33 enodes (cost 19 ) 0.289 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.290 * * [progress]: iteration 1 / 4 0.290 * * * [progress]: picking best candidate 0.299 * * * * [pick]: Picked # 0.299 * * * [progress]: localizing error 0.322 * * * [progress]: generating rewritten candidates 0.322 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.327 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.328 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.332 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.339 * * * [progress]: generating series expansions 0.339 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.339 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.339 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.339 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.339 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.339 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.340 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.340 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.340 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.340 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.340 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.341 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.341 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.341 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.341 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.342 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.342 * [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 0.342 * [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 lambda2 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.342 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.343 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.343 * [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 (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 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 (/ 1 lambda1) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.343 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 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 (/ 1 lambda1) in lambda1 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda1 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 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.344 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [taylor]: Taking taylor expansion of 0 in lambda1 0.349 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda1 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi2 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.351 * [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 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (cos (/ -1 phi1)))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.351 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.353 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.353 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in R 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in R 0.353 * [taylor]: Taking taylor expansion of R in R 0.353 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.353 * [taylor]: Taking taylor expansion of R in lambda2 0.353 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda1 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.353 * [taylor]: Taking taylor expansion of R in lambda1 0.353 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi2 0.353 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.354 * [taylor]: Taking taylor expansion of R in phi2 0.354 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.354 * [taylor]: Taking taylor expansion of R in phi1 0.354 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.354 * [taylor]: Taking taylor expansion of R in phi1 0.354 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi2 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.354 * [taylor]: Taking taylor expansion of R in phi2 0.354 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda1 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.355 * [taylor]: Taking taylor expansion of R in lambda1 0.355 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.355 * [taylor]: Taking taylor expansion of R in lambda2 0.355 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in R 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in R 0.355 * [taylor]: Taking taylor expansion of R in R 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in R 0.356 * [taylor]: Taking taylor expansion of 0 in R 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 R 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 R 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 R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.357 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.358 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in R 0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in R 0.358 * [taylor]: Taking taylor expansion of R in R 0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda2 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.359 * [taylor]: Taking taylor expansion of R in lambda2 0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda1 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.359 * [taylor]: Taking taylor expansion of R in lambda1 0.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.360 * [taylor]: Taking taylor expansion of R in phi2 0.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi1 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.360 * [taylor]: Taking taylor expansion of R in phi1 0.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi1 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 0.361 * [taylor]: Taking taylor expansion of R in phi1 0.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in phi2 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 0.361 * [taylor]: Taking taylor expansion of R in phi2 0.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda1 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.362 * [taylor]: Taking taylor expansion of R in lambda1 0.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in lambda2 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda2 0.362 * [taylor]: Taking taylor expansion of R in lambda2 0.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) R) in R 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in R 0.363 * [taylor]: Taking taylor expansion of R 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 lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in phi2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.367 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in R 0.367 * [taylor]: Taking taylor expansion of -1 in R 0.367 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in R 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in R 0.368 * [taylor]: Taking taylor expansion of R in R 0.368 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda2 0.368 * [taylor]: Taking taylor expansion of -1 in lambda2 0.368 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda2 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.368 * [taylor]: Taking taylor expansion of R in lambda2 0.368 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda1 0.369 * [taylor]: Taking taylor expansion of -1 in lambda1 0.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda1 0.369 * [taylor]: Taking taylor expansion of R in lambda1 0.369 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi2 0.369 * [taylor]: Taking taylor expansion of -1 in phi2 0.369 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi2 0.369 * [taylor]: Taking taylor expansion of R in phi2 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi1 0.370 * [taylor]: Taking taylor expansion of -1 in phi1 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.370 * [taylor]: Taking taylor expansion of R in phi1 0.370 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi1 0.370 * [taylor]: Taking taylor expansion of -1 in phi1 0.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi1 0.370 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi1 0.370 * [taylor]: Taking taylor expansion of R in phi1 0.371 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in phi2 0.371 * [taylor]: Taking taylor expansion of -1 in phi2 0.371 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in phi2 0.371 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in phi2 0.371 * [taylor]: Taking taylor expansion of R in phi2 0.372 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda1 0.372 * [taylor]: Taking taylor expansion of -1 in lambda1 0.372 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda1 0.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda1 0.372 * [taylor]: Taking taylor expansion of R in lambda1 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in lambda2 0.373 * [taylor]: Taking taylor expansion of -1 in lambda2 0.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in lambda2 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda2 0.373 * [taylor]: Taking taylor expansion of R in lambda2 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R)) in R 0.373 * [taylor]: Taking taylor expansion of -1 in R 0.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) R) in R 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in R 0.374 * [taylor]: Taking taylor expansion of R in R 0.375 * [taylor]: Taking taylor expansion of 0 in phi2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda1 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in R 0.377 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in phi2 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.381 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.381 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.381 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.381 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.381 * [taylor]: Taking taylor expansion of phi1 in phi2 0.381 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.381 * [taylor]: Taking taylor expansion of phi2 in phi2 0.381 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.381 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.381 * [taylor]: Taking taylor expansion of phi1 in phi1 0.381 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.381 * [taylor]: Taking taylor expansion of phi2 in phi1 0.381 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.381 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.381 * [taylor]: Taking taylor expansion of phi1 in phi1 0.381 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.381 * [taylor]: Taking taylor expansion of phi2 in phi1 0.382 * [taylor]: Taking taylor expansion of 0 in phi2 0.382 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.382 * [taylor]: Taking taylor expansion of phi2 in phi2 0.382 * [taylor]: Taking taylor expansion of 0 in phi2 0.383 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.383 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.383 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.383 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.383 * [taylor]: Taking taylor expansion of phi2 in phi2 0.384 * [taylor]: Taking taylor expansion of 0 in phi2 0.384 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.384 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.384 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.384 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.384 * [taylor]: Taking taylor expansion of phi1 in phi2 0.384 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.384 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.384 * [taylor]: Taking taylor expansion of phi2 in phi2 0.384 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.384 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.384 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.384 * [taylor]: Taking taylor expansion of phi1 in phi1 0.384 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.384 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.384 * [taylor]: Taking taylor expansion of phi2 in phi1 0.385 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.385 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.385 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.385 * [taylor]: Taking taylor expansion of phi1 in phi1 0.385 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.385 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.385 * [taylor]: Taking taylor expansion of phi2 in phi1 0.385 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.385 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.385 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.385 * [taylor]: Taking taylor expansion of phi1 in phi2 0.385 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.385 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.385 * [taylor]: Taking taylor expansion of phi2 in phi2 0.386 * [taylor]: Taking taylor expansion of 0 in phi2 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.388 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.388 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.388 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.388 * [taylor]: Taking taylor expansion of -1 in phi2 0.388 * [taylor]: Taking taylor expansion of phi1 in phi2 0.388 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.388 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.388 * [taylor]: Taking taylor expansion of -1 in phi2 0.388 * [taylor]: Taking taylor expansion of phi2 in phi2 0.388 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.388 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.388 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.388 * [taylor]: Taking taylor expansion of -1 in phi1 0.388 * [taylor]: Taking taylor expansion of phi1 in phi1 0.389 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.389 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.389 * [taylor]: Taking taylor expansion of -1 in phi1 0.389 * [taylor]: Taking taylor expansion of phi2 in phi1 0.389 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.389 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.389 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.389 * [taylor]: Taking taylor expansion of -1 in phi1 0.389 * [taylor]: Taking taylor expansion of phi1 in phi1 0.389 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.389 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.389 * [taylor]: Taking taylor expansion of -1 in phi1 0.389 * [taylor]: Taking taylor expansion of phi2 in phi1 0.389 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.389 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.389 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.389 * [taylor]: Taking taylor expansion of -1 in phi2 0.389 * [taylor]: Taking taylor expansion of phi1 in phi2 0.389 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.389 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.389 * [taylor]: Taking taylor expansion of -1 in phi2 0.389 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.391 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * * * [progress]: simplifying candidates 0.393 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ (* lambda2 lambda1) 1) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.399 * * [simplify]: iteration 0 : 110 enodes (cost 1035 ) 0.413 * * [simplify]: iteration 1 : 195 enodes (cost 1027 ) 0.443 * * [simplify]: iteration 2 : 434 enodes (cost 889 ) 0.598 * * [simplify]: iteration 3 : 823 enodes (cost 887 ) 0.826 * * [simplify]: iteration 4 : 1195 enodes (cost 887 ) 1.251 * * [simplify]: iteration 5 : 2254 enodes (cost 887 ) 2.543 * * [simplify]: iteration done : 5000 enodes (cost 887 ) 2.544 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (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 (- lambda1 lambda2)) (* (cos phi1) (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 (- lambda1 lambda2)) (* (cos phi1) (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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (+ 1 (* lambda1 (- lambda2 (* lambda1 1/2)))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.544 * * * [progress]: adding candidates to table 2.640 * * [progress]: iteration 2 / 4 2.640 * * * [progress]: picking best candidate 2.721 * * * * [pick]: Picked # 2.721 * * * [progress]: localizing error 2.752 * * * [progress]: generating rewritten candidates 2.752 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.753 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.757 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.762 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 2.769 * * * [progress]: generating series expansions 2.769 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.770 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.770 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 2.770 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 2.770 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 2.771 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 2.771 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 2.771 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 2.774 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 2.774 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in phi2 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in phi2 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.776 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.776 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 2.776 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 2.776 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.777 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.778 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 2.779 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 2.780 * [taylor]: Taking taylor expansion of 0 in phi2 2.780 * [taylor]: Taking taylor expansion of 0 in lambda1 2.780 * [taylor]: Taking taylor expansion of 0 in lambda2 2.780 * [taylor]: Taking taylor expansion of 0 in lambda1 2.780 * [taylor]: Taking taylor expansion of 0 in lambda2 2.780 * [taylor]: Taking taylor expansion of 0 in lambda2 2.780 * [taylor]: Taking taylor expansion of 0 in phi2 2.780 * [taylor]: Taking taylor expansion of 0 in lambda1 2.780 * [taylor]: Taking taylor expansion of 0 in lambda2 2.780 * [taylor]: Taking taylor expansion of 0 in lambda1 2.780 * [taylor]: Taking taylor expansion of 0 in lambda2 2.781 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.781 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 2.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 2.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 2.782 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 2.783 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 2.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 2.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.785 * [taylor]: Taking taylor expansion of 0 in phi2 2.785 * [taylor]: Taking taylor expansion of 0 in lambda1 2.785 * [taylor]: Taking taylor expansion of 0 in lambda2 2.785 * [taylor]: Taking taylor expansion of 0 in lambda1 2.785 * [taylor]: Taking taylor expansion of 0 in lambda2 2.785 * [taylor]: Taking taylor expansion of 0 in lambda2 2.786 * [taylor]: Taking taylor expansion of 0 in phi2 2.786 * [taylor]: Taking taylor expansion of 0 in lambda1 2.786 * [taylor]: Taking taylor expansion of 0 in lambda2 2.786 * [taylor]: Taking taylor expansion of 0 in lambda1 2.786 * [taylor]: Taking taylor expansion of 0 in lambda2 2.786 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.787 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.787 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 2.787 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 2.787 * [taylor]: Taking taylor expansion of R in R 2.787 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 2.787 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 2.787 * [taylor]: Taking taylor expansion of R in lambda2 2.787 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 2.787 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 2.788 * [taylor]: Taking taylor expansion of R in lambda1 2.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 2.788 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 2.788 * [taylor]: Taking taylor expansion of R in phi2 2.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 2.788 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 2.788 * [taylor]: Taking taylor expansion of R in phi1 2.788 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 2.788 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 2.789 * [taylor]: Taking taylor expansion of R in phi1 2.789 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 2.789 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 2.789 * [taylor]: Taking taylor expansion of R in phi2 2.790 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 2.790 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 2.790 * [taylor]: Taking taylor expansion of R in lambda1 2.790 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 2.790 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 2.790 * [taylor]: Taking taylor expansion of R in lambda2 2.791 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 2.791 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 2.791 * [taylor]: Taking taylor expansion of R in R 2.792 * [taylor]: Taking taylor expansion of 0 in phi2 2.792 * [taylor]: Taking taylor expansion of 0 in lambda1 2.792 * [taylor]: Taking taylor expansion of 0 in lambda2 2.792 * [taylor]: Taking taylor expansion of 0 in R 2.792 * [taylor]: Taking taylor expansion of 0 in lambda1 2.792 * [taylor]: Taking taylor expansion of 0 in lambda2 2.792 * [taylor]: Taking taylor expansion of 0 in R 2.792 * [taylor]: Taking taylor expansion of 0 in lambda2 2.792 * [taylor]: Taking taylor expansion of 0 in R 2.793 * [taylor]: Taking taylor expansion of 0 in R 2.794 * [taylor]: Taking taylor expansion of 0 in phi2 2.794 * [taylor]: Taking taylor expansion of 0 in lambda1 2.794 * [taylor]: Taking taylor expansion of 0 in lambda2 2.794 * [taylor]: Taking taylor expansion of 0 in R 2.794 * [taylor]: Taking taylor expansion of 0 in lambda1 2.794 * [taylor]: Taking taylor expansion of 0 in lambda2 2.794 * [taylor]: Taking taylor expansion of 0 in R 2.794 * [taylor]: Taking taylor expansion of 0 in lambda1 2.794 * [taylor]: Taking taylor expansion of 0 in lambda2 2.794 * [taylor]: Taking taylor expansion of 0 in R 2.794 * [taylor]: Taking taylor expansion of 0 in lambda2 2.794 * [taylor]: Taking taylor expansion of 0 in R 2.794 * [taylor]: Taking taylor expansion of 0 in lambda2 2.794 * [taylor]: Taking taylor expansion of 0 in R 2.795 * [taylor]: Taking taylor expansion of 0 in lambda2 2.795 * [taylor]: Taking taylor expansion of 0 in R 2.796 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.796 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 2.796 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 2.796 * [taylor]: Taking taylor expansion of R in R 2.796 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 2.796 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 2.797 * [taylor]: Taking taylor expansion of R in lambda2 2.797 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 2.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 2.798 * [taylor]: Taking taylor expansion of R in lambda1 2.798 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 2.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.798 * [taylor]: Taking taylor expansion of R in phi2 2.799 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 2.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.799 * [taylor]: Taking taylor expansion of R in phi1 2.800 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 2.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.800 * [taylor]: Taking taylor expansion of R in phi1 2.801 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 2.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.801 * [taylor]: Taking taylor expansion of R in phi2 2.801 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 2.802 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 2.802 * [taylor]: Taking taylor expansion of R in lambda1 2.803 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 2.803 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 2.803 * [taylor]: Taking taylor expansion of R in lambda2 2.803 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 2.803 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 2.804 * [taylor]: Taking taylor expansion of R in R 2.805 * [taylor]: Taking taylor expansion of 0 in phi2 2.805 * [taylor]: Taking taylor expansion of 0 in lambda1 2.805 * [taylor]: Taking taylor expansion of 0 in lambda2 2.805 * [taylor]: Taking taylor expansion of 0 in R 2.806 * [taylor]: Taking taylor expansion of 0 in lambda1 2.806 * [taylor]: Taking taylor expansion of 0 in lambda2 2.806 * [taylor]: Taking taylor expansion of 0 in R 2.806 * [taylor]: Taking taylor expansion of 0 in lambda2 2.806 * [taylor]: Taking taylor expansion of 0 in R 2.807 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in phi2 2.808 * [taylor]: Taking taylor expansion of 0 in lambda1 2.808 * [taylor]: Taking taylor expansion of 0 in lambda2 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in lambda1 2.808 * [taylor]: Taking taylor expansion of 0 in lambda2 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in lambda1 2.808 * [taylor]: Taking taylor expansion of 0 in lambda2 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in lambda2 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.808 * [taylor]: Taking taylor expansion of 0 in lambda2 2.808 * [taylor]: Taking taylor expansion of 0 in R 2.809 * [taylor]: Taking taylor expansion of 0 in lambda2 2.809 * [taylor]: Taking taylor expansion of 0 in R 2.809 * [taylor]: Taking taylor expansion of 0 in R 2.809 * [taylor]: Taking taylor expansion of 0 in R 2.809 * [taylor]: Taking taylor expansion of 0 in R 2.809 * [taylor]: Taking taylor expansion of 0 in R 2.811 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.811 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in R 2.811 * [taylor]: Taking taylor expansion of -1 in R 2.811 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in R 2.811 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in R 2.811 * [taylor]: Taking taylor expansion of R in R 2.812 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda2 2.812 * [taylor]: Taking taylor expansion of -1 in lambda2 2.812 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda2 2.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 2.812 * [taylor]: Taking taylor expansion of R in lambda2 2.813 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda1 2.813 * [taylor]: Taking taylor expansion of -1 in lambda1 2.813 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda1 2.813 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 2.813 * [taylor]: Taking taylor expansion of R in lambda1 2.814 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi2 2.814 * [taylor]: Taking taylor expansion of -1 in phi2 2.814 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi2 2.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 2.814 * [taylor]: Taking taylor expansion of R in phi2 2.815 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 2.815 * [taylor]: Taking taylor expansion of -1 in phi1 2.815 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 2.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 2.815 * [taylor]: Taking taylor expansion of R in phi1 2.815 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 2.816 * [taylor]: Taking taylor expansion of -1 in phi1 2.816 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 2.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 2.816 * [taylor]: Taking taylor expansion of R in phi1 2.817 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 2.817 * [taylor]: Taking taylor expansion of -1 in phi2 2.817 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 2.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.817 * [taylor]: Taking taylor expansion of R in phi2 2.818 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 2.818 * [taylor]: Taking taylor expansion of -1 in lambda1 2.818 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 2.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 2.819 * [taylor]: Taking taylor expansion of R in lambda1 2.819 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 2.819 * [taylor]: Taking taylor expansion of -1 in lambda2 2.819 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 2.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.820 * [taylor]: Taking taylor expansion of R in lambda2 2.821 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 2.821 * [taylor]: Taking taylor expansion of -1 in R 2.821 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 2.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 2.821 * [taylor]: Taking taylor expansion of R in R 2.823 * [taylor]: Taking taylor expansion of 0 in phi2 2.823 * [taylor]: Taking taylor expansion of 0 in lambda1 2.823 * [taylor]: Taking taylor expansion of 0 in lambda2 2.823 * [taylor]: Taking taylor expansion of 0 in R 2.824 * [taylor]: Taking taylor expansion of 0 in lambda1 2.824 * [taylor]: Taking taylor expansion of 0 in lambda2 2.824 * [taylor]: Taking taylor expansion of 0 in R 2.825 * [taylor]: Taking taylor expansion of 0 in lambda2 2.825 * [taylor]: Taking taylor expansion of 0 in R 2.826 * [taylor]: Taking taylor expansion of 0 in R 2.828 * [taylor]: Taking taylor expansion of 0 in phi2 2.828 * [taylor]: Taking taylor expansion of 0 in lambda1 2.828 * [taylor]: Taking taylor expansion of 0 in lambda2 2.828 * [taylor]: Taking taylor expansion of 0 in R 2.828 * [taylor]: Taking taylor expansion of 0 in lambda1 2.828 * [taylor]: Taking taylor expansion of 0 in lambda2 2.828 * [taylor]: Taking taylor expansion of 0 in R 2.829 * [taylor]: Taking taylor expansion of 0 in lambda1 2.829 * [taylor]: Taking taylor expansion of 0 in lambda2 2.829 * [taylor]: Taking taylor expansion of 0 in R 2.829 * [taylor]: Taking taylor expansion of 0 in lambda2 2.829 * [taylor]: Taking taylor expansion of 0 in R 2.829 * [taylor]: Taking taylor expansion of 0 in lambda2 2.829 * [taylor]: Taking taylor expansion of 0 in R 2.830 * [taylor]: Taking taylor expansion of 0 in lambda2 2.830 * [taylor]: Taking taylor expansion of 0 in R 2.830 * [taylor]: Taking taylor expansion of 0 in R 2.830 * [taylor]: Taking taylor expansion of 0 in R 2.830 * [taylor]: Taking taylor expansion of 0 in R 2.831 * [taylor]: Taking taylor expansion of 0 in R 2.833 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.833 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.833 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.833 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.833 * [taylor]: Taking taylor expansion of phi1 in phi2 2.833 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.833 * [taylor]: Taking taylor expansion of phi2 in phi2 2.833 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.833 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.833 * [taylor]: Taking taylor expansion of phi1 in phi1 2.833 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.833 * [taylor]: Taking taylor expansion of phi2 in phi1 2.833 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.833 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.833 * [taylor]: Taking taylor expansion of phi1 in phi1 2.833 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.833 * [taylor]: Taking taylor expansion of phi2 in phi1 2.833 * [taylor]: Taking taylor expansion of 0 in phi2 2.834 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.834 * [taylor]: Taking taylor expansion of phi2 in phi2 2.834 * [taylor]: Taking taylor expansion of 0 in phi2 2.835 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 2.835 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.835 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.835 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.835 * [taylor]: Taking taylor expansion of phi2 in phi2 2.836 * [taylor]: Taking taylor expansion of 0 in phi2 2.836 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.836 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.836 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.836 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.836 * [taylor]: Taking taylor expansion of phi1 in phi2 2.836 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.836 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.836 * [taylor]: Taking taylor expansion of phi2 in phi2 2.836 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.836 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.836 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.836 * [taylor]: Taking taylor expansion of phi1 in phi1 2.836 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.836 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.836 * [taylor]: Taking taylor expansion of phi2 in phi1 2.836 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.836 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.836 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.836 * [taylor]: Taking taylor expansion of phi1 in phi1 2.836 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.836 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.836 * [taylor]: Taking taylor expansion of phi2 in phi1 2.837 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.837 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.837 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.837 * [taylor]: Taking taylor expansion of phi1 in phi2 2.837 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.837 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.837 * [taylor]: Taking taylor expansion of phi2 in phi2 2.837 * [taylor]: Taking taylor expansion of 0 in phi2 2.838 * [taylor]: Taking taylor expansion of 0 in phi2 2.839 * [taylor]: Taking taylor expansion of 0 in phi2 2.839 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.839 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.839 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.839 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.839 * [taylor]: Taking taylor expansion of -1 in phi2 2.839 * [taylor]: Taking taylor expansion of phi1 in phi2 2.839 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.839 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.839 * [taylor]: Taking taylor expansion of -1 in phi2 2.839 * [taylor]: Taking taylor expansion of phi2 in phi2 2.839 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.839 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.840 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.840 * [taylor]: Taking taylor expansion of -1 in phi1 2.840 * [taylor]: Taking taylor expansion of phi1 in phi1 2.840 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.840 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.840 * [taylor]: Taking taylor expansion of -1 in phi1 2.840 * [taylor]: Taking taylor expansion of phi2 in phi1 2.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.840 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.840 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.840 * [taylor]: Taking taylor expansion of -1 in phi1 2.840 * [taylor]: Taking taylor expansion of phi1 in phi1 2.840 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.840 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.840 * [taylor]: Taking taylor expansion of -1 in phi1 2.840 * [taylor]: Taking taylor expansion of phi2 in phi1 2.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.840 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.840 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.840 * [taylor]: Taking taylor expansion of -1 in phi2 2.840 * [taylor]: Taking taylor expansion of phi1 in phi2 2.840 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.840 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.840 * [taylor]: Taking taylor expansion of -1 in phi2 2.840 * [taylor]: Taking taylor expansion of phi2 in phi2 2.841 * [taylor]: Taking taylor expansion of 0 in phi2 2.842 * [taylor]: Taking taylor expansion of 0 in phi2 2.843 * [taylor]: Taking taylor expansion of 0 in phi2 2.843 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 2.843 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda1 lambda2) around 0 2.843 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 2.843 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.843 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.843 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.843 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.843 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 2.843 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.843 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.843 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.843 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.843 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 2.843 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 2.843 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.843 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.843 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.843 * [taylor]: Taking taylor expansion of 0 in lambda2 2.844 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.844 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.844 * [taylor]: Taking taylor expansion of 0 in lambda2 2.845 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 2.845 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 2.845 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.845 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 2.845 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.846 * [taylor]: Taking taylor expansion of 0 in lambda2 2.846 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.846 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.846 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.846 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.846 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.846 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.846 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.846 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.846 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.846 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.846 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.846 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.846 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.846 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.846 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.846 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.846 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.846 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.846 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.846 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.846 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.846 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.847 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.847 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.847 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.847 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.847 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.847 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.847 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.847 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.849 * [taylor]: Taking taylor expansion of 0 in lambda2 2.849 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.849 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.849 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.849 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.849 * [taylor]: Taking taylor expansion of -1 in lambda2 2.849 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.849 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.849 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.849 * [taylor]: Taking taylor expansion of -1 in lambda2 2.849 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.849 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.849 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.849 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.849 * [taylor]: Taking taylor expansion of -1 in lambda1 2.849 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.850 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.850 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.850 * [taylor]: Taking taylor expansion of -1 in lambda1 2.850 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.850 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.850 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.850 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.850 * [taylor]: Taking taylor expansion of -1 in lambda1 2.850 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.850 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.850 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.850 * [taylor]: Taking taylor expansion of -1 in lambda1 2.850 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.850 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.850 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.850 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.850 * [taylor]: Taking taylor expansion of -1 in lambda2 2.850 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.850 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.850 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.850 * [taylor]: Taking taylor expansion of -1 in lambda2 2.850 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.851 * [taylor]: Taking taylor expansion of 0 in lambda2 2.852 * [taylor]: Taking taylor expansion of 0 in lambda2 2.853 * [taylor]: Taking taylor expansion of 0 in lambda2 2.853 * * * [progress]: simplifying candidates 2.854 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1)) 2.860 * * [simplify]: iteration 0 : 128 enodes (cost 1410 ) 2.878 * * [simplify]: iteration 1 : 246 enodes (cost 1365 ) 2.923 * * [simplify]: iteration 2 : 626 enodes (cost 1173 ) 3.165 * * [simplify]: iteration 3 : 1202 enodes (cost 1173 ) 3.536 * * [simplify]: iteration 4 : 1707 enodes (cost 1173 ) 4.185 * * [simplify]: iteration 5 : 2844 enodes (cost 1173 ) 5.226 * * [simplify]: iteration done : 5000 enodes (cost 1173 ) 5.226 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (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)))))) 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 (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 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 (* R (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)))))) 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) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* 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))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 5.227 * * * [progress]: adding candidates to table 5.328 * * [progress]: iteration 3 / 4 5.328 * * * [progress]: picking best candidate 5.411 * * * * [pick]: Picked # 5.411 * * * [progress]: localizing error 5.444 * * * [progress]: generating rewritten candidates 5.444 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 5.446 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 5.451 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 5.454 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 5.461 * * * [progress]: generating series expansions 5.461 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 5.461 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.461 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.462 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.463 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.464 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.464 * [taylor]: Taking taylor expansion of 0 in phi2 5.464 * [taylor]: Taking taylor expansion of 0 in lambda1 5.464 * [taylor]: Taking taylor expansion of 0 in lambda2 5.464 * [taylor]: Taking taylor expansion of 0 in lambda1 5.464 * [taylor]: Taking taylor expansion of 0 in lambda2 5.464 * [taylor]: Taking taylor expansion of 0 in lambda2 5.464 * [taylor]: Taking taylor expansion of 0 in phi2 5.464 * [taylor]: Taking taylor expansion of 0 in lambda1 5.464 * [taylor]: Taking taylor expansion of 0 in lambda2 5.464 * [taylor]: Taking taylor expansion of 0 in lambda1 5.465 * [taylor]: Taking taylor expansion of 0 in lambda2 5.465 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 5.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.468 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.468 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.469 * [taylor]: Taking taylor expansion of 0 in phi2 5.469 * [taylor]: Taking taylor expansion of 0 in lambda1 5.469 * [taylor]: Taking taylor expansion of 0 in lambda2 5.469 * [taylor]: Taking taylor expansion of 0 in lambda1 5.469 * [taylor]: Taking taylor expansion of 0 in lambda2 5.469 * [taylor]: Taking taylor expansion of 0 in lambda2 5.469 * [taylor]: Taking taylor expansion of 0 in phi2 5.469 * [taylor]: Taking taylor expansion of 0 in lambda1 5.469 * [taylor]: Taking taylor expansion of 0 in lambda2 5.469 * [taylor]: Taking taylor expansion of 0 in lambda1 5.469 * [taylor]: Taking taylor expansion of 0 in lambda2 5.470 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.470 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 5.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 5.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 5.471 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.472 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 5.473 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.473 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 5.474 * [taylor]: Taking taylor expansion of 0 in phi2 5.474 * [taylor]: Taking taylor expansion of 0 in lambda1 5.474 * [taylor]: Taking taylor expansion of 0 in lambda2 5.474 * [taylor]: Taking taylor expansion of 0 in lambda1 5.474 * [taylor]: Taking taylor expansion of 0 in lambda2 5.474 * [taylor]: Taking taylor expansion of 0 in lambda2 5.474 * [taylor]: Taking taylor expansion of 0 in phi2 5.474 * [taylor]: Taking taylor expansion of 0 in lambda1 5.474 * [taylor]: Taking taylor expansion of 0 in lambda2 5.474 * [taylor]: Taking taylor expansion of 0 in lambda1 5.474 * [taylor]: Taking taylor expansion of 0 in lambda2 5.475 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 5.475 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.475 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.476 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.476 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.476 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.476 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.477 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.477 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.477 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.478 * [taylor]: Taking taylor expansion of 0 in phi2 5.478 * [taylor]: Taking taylor expansion of 0 in lambda1 5.478 * [taylor]: Taking taylor expansion of 0 in lambda2 5.478 * [taylor]: Taking taylor expansion of 0 in lambda1 5.478 * [taylor]: Taking taylor expansion of 0 in lambda2 5.478 * [taylor]: Taking taylor expansion of 0 in lambda2 5.478 * [taylor]: Taking taylor expansion of 0 in phi2 5.478 * [taylor]: Taking taylor expansion of 0 in lambda1 5.478 * [taylor]: Taking taylor expansion of 0 in lambda2 5.478 * [taylor]: Taking taylor expansion of 0 in lambda1 5.478 * [taylor]: Taking taylor expansion of 0 in lambda2 5.479 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 5.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.480 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.480 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.482 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.483 * [taylor]: Taking taylor expansion of 0 in phi2 5.483 * [taylor]: Taking taylor expansion of 0 in lambda1 5.483 * [taylor]: Taking taylor expansion of 0 in lambda2 5.483 * [taylor]: Taking taylor expansion of 0 in lambda1 5.483 * [taylor]: Taking taylor expansion of 0 in lambda2 5.483 * [taylor]: Taking taylor expansion of 0 in lambda2 5.483 * [taylor]: Taking taylor expansion of 0 in phi2 5.483 * [taylor]: Taking taylor expansion of 0 in lambda1 5.483 * [taylor]: Taking taylor expansion of 0 in lambda2 5.483 * [taylor]: Taking taylor expansion of 0 in lambda1 5.483 * [taylor]: Taking taylor expansion of 0 in lambda2 5.484 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.484 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 5.484 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 5.485 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 5.486 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.486 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.486 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 5.487 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.487 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 5.488 * [taylor]: Taking taylor expansion of 0 in phi2 5.488 * [taylor]: Taking taylor expansion of 0 in lambda1 5.488 * [taylor]: Taking taylor expansion of 0 in lambda2 5.488 * [taylor]: Taking taylor expansion of 0 in lambda1 5.488 * [taylor]: Taking taylor expansion of 0 in lambda2 5.488 * [taylor]: Taking taylor expansion of 0 in lambda2 5.488 * [taylor]: Taking taylor expansion of 0 in phi2 5.488 * [taylor]: Taking taylor expansion of 0 in lambda1 5.488 * [taylor]: Taking taylor expansion of 0 in lambda2 5.488 * [taylor]: Taking taylor expansion of 0 in lambda1 5.489 * [taylor]: Taking taylor expansion of 0 in lambda2 5.489 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 5.489 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.489 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 5.489 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.490 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 5.490 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.491 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 5.491 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.491 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 5.491 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.492 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 5.492 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.493 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 5.493 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.493 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 5.493 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.494 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 5.494 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.496 * [taylor]: Taking taylor expansion of 0 in phi2 5.496 * [taylor]: Taking taylor expansion of 0 in lambda1 5.496 * [taylor]: Taking taylor expansion of 0 in lambda2 5.496 * [taylor]: Taking taylor expansion of 0 in lambda1 5.496 * [taylor]: Taking taylor expansion of 0 in lambda2 5.496 * [taylor]: Taking taylor expansion of 0 in lambda2 5.497 * [taylor]: Taking taylor expansion of 0 in phi2 5.497 * [taylor]: Taking taylor expansion of 0 in lambda1 5.497 * [taylor]: Taking taylor expansion of 0 in lambda2 5.497 * [taylor]: Taking taylor expansion of 0 in lambda1 5.497 * [taylor]: Taking taylor expansion of 0 in lambda2 5.498 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.498 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 5.498 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.499 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 5.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.500 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 5.500 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.501 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 5.501 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.501 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 5.501 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.502 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 5.502 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.503 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 5.503 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.504 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 5.504 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.506 * [taylor]: Taking taylor expansion of 0 in phi2 5.506 * [taylor]: Taking taylor expansion of 0 in lambda1 5.506 * [taylor]: Taking taylor expansion of 0 in lambda2 5.506 * [taylor]: Taking taylor expansion of 0 in lambda1 5.506 * [taylor]: Taking taylor expansion of 0 in lambda2 5.507 * [taylor]: Taking taylor expansion of 0 in lambda2 5.508 * [taylor]: Taking taylor expansion of 0 in phi2 5.508 * [taylor]: Taking taylor expansion of 0 in lambda1 5.508 * [taylor]: Taking taylor expansion of 0 in lambda2 5.508 * [taylor]: Taking taylor expansion of 0 in lambda1 5.508 * [taylor]: Taking taylor expansion of 0 in lambda2 5.509 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 5.509 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 5.509 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 5.509 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 5.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 5.510 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 5.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 5.511 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 5.511 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.512 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 5.512 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.513 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 5.513 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 5.514 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 5.514 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.514 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 5.514 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 5.516 * [taylor]: Taking taylor expansion of 0 in phi2 5.516 * [taylor]: Taking taylor expansion of 0 in lambda1 5.516 * [taylor]: Taking taylor expansion of 0 in lambda2 5.517 * [taylor]: Taking taylor expansion of 0 in lambda1 5.517 * [taylor]: Taking taylor expansion of 0 in lambda2 5.517 * [taylor]: Taking taylor expansion of 0 in lambda2 5.518 * [taylor]: Taking taylor expansion of 0 in phi2 5.518 * [taylor]: Taking taylor expansion of 0 in lambda1 5.518 * [taylor]: Taking taylor expansion of 0 in lambda2 5.518 * [taylor]: Taking taylor expansion of 0 in lambda1 5.519 * [taylor]: Taking taylor expansion of 0 in lambda2 5.519 * * * * [progress]: [ 4 / 4 ] generating series at (2) 5.519 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 5.520 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 5.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 5.520 * [taylor]: Taking taylor expansion of R in R 5.520 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 5.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.520 * [taylor]: Taking taylor expansion of R in lambda2 5.520 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 5.520 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.520 * [taylor]: Taking taylor expansion of R in lambda1 5.521 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 5.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.521 * [taylor]: Taking taylor expansion of R in phi2 5.521 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 5.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.521 * [taylor]: Taking taylor expansion of R in phi1 5.521 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi1 5.521 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 5.521 * [taylor]: Taking taylor expansion of R in phi1 5.522 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in phi2 5.522 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 5.522 * [taylor]: Taking taylor expansion of R in phi2 5.522 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda1 5.522 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 5.523 * [taylor]: Taking taylor expansion of R in lambda1 5.523 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in lambda2 5.523 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 5.523 * [taylor]: Taking taylor expansion of R in lambda2 5.524 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) in R 5.524 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in R 5.524 * [taylor]: Taking taylor expansion of R in R 5.525 * [taylor]: Taking taylor expansion of 0 in phi2 5.525 * [taylor]: Taking taylor expansion of 0 in lambda1 5.525 * [taylor]: Taking taylor expansion of 0 in lambda2 5.525 * [taylor]: Taking taylor expansion of 0 in R 5.525 * [taylor]: Taking taylor expansion of 0 in lambda1 5.525 * [taylor]: Taking taylor expansion of 0 in lambda2 5.525 * [taylor]: Taking taylor expansion of 0 in R 5.525 * [taylor]: Taking taylor expansion of 0 in lambda2 5.525 * [taylor]: Taking taylor expansion of 0 in R 5.526 * [taylor]: Taking taylor expansion of 0 in R 5.527 * [taylor]: Taking taylor expansion of 0 in phi2 5.527 * [taylor]: Taking taylor expansion of 0 in lambda1 5.527 * [taylor]: Taking taylor expansion of 0 in lambda2 5.527 * [taylor]: Taking taylor expansion of 0 in R 5.527 * [taylor]: Taking taylor expansion of 0 in lambda1 5.527 * [taylor]: Taking taylor expansion of 0 in lambda2 5.527 * [taylor]: Taking taylor expansion of 0 in R 5.527 * [taylor]: Taking taylor expansion of 0 in lambda1 5.527 * [taylor]: Taking taylor expansion of 0 in lambda2 5.527 * [taylor]: Taking taylor expansion of 0 in R 5.527 * [taylor]: Taking taylor expansion of 0 in lambda2 5.527 * [taylor]: Taking taylor expansion of 0 in R 5.527 * [taylor]: Taking taylor expansion of 0 in lambda2 5.527 * [taylor]: Taking taylor expansion of 0 in R 5.528 * [taylor]: Taking taylor expansion of 0 in lambda2 5.528 * [taylor]: Taking taylor expansion of 0 in R 5.528 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 5.529 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 5.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 5.529 * [taylor]: Taking taylor expansion of R in R 5.529 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 5.529 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.530 * [taylor]: Taking taylor expansion of R in lambda2 5.530 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 5.530 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.531 * [taylor]: Taking taylor expansion of R in lambda1 5.531 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 5.531 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.532 * [taylor]: Taking taylor expansion of R in phi2 5.532 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 5.532 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.535 * [taylor]: Taking taylor expansion of R in phi1 5.536 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi1 5.536 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 5.536 * [taylor]: Taking taylor expansion of R in phi1 5.537 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in phi2 5.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 5.537 * [taylor]: Taking taylor expansion of R in phi2 5.537 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda1 5.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 5.538 * [taylor]: Taking taylor expansion of R in lambda1 5.538 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in lambda2 5.538 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 5.539 * [taylor]: Taking taylor expansion of R in lambda2 5.539 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) R) in R 5.539 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in R 5.540 * [taylor]: Taking taylor expansion of R in R 5.541 * [taylor]: Taking taylor expansion of 0 in phi2 5.541 * [taylor]: Taking taylor expansion of 0 in lambda1 5.541 * [taylor]: Taking taylor expansion of 0 in lambda2 5.541 * [taylor]: Taking taylor expansion of 0 in R 5.542 * [taylor]: Taking taylor expansion of 0 in lambda1 5.542 * [taylor]: Taking taylor expansion of 0 in lambda2 5.542 * [taylor]: Taking taylor expansion of 0 in R 5.542 * [taylor]: Taking taylor expansion of 0 in lambda2 5.542 * [taylor]: Taking taylor expansion of 0 in R 5.543 * [taylor]: Taking taylor expansion of 0 in R 5.543 * [taylor]: Taking taylor expansion of 0 in phi2 5.543 * [taylor]: Taking taylor expansion of 0 in lambda1 5.543 * [taylor]: Taking taylor expansion of 0 in lambda2 5.544 * [taylor]: Taking taylor expansion of 0 in R 5.544 * [taylor]: Taking taylor expansion of 0 in lambda1 5.544 * [taylor]: Taking taylor expansion of 0 in lambda2 5.544 * [taylor]: Taking taylor expansion of 0 in R 5.544 * [taylor]: Taking taylor expansion of 0 in lambda1 5.544 * [taylor]: Taking taylor expansion of 0 in lambda2 5.544 * [taylor]: Taking taylor expansion of 0 in R 5.544 * [taylor]: Taking taylor expansion of 0 in lambda2 5.544 * [taylor]: Taking taylor expansion of 0 in R 5.544 * [taylor]: Taking taylor expansion of 0 in lambda2 5.544 * [taylor]: Taking taylor expansion of 0 in R 5.545 * [taylor]: Taking taylor expansion of 0 in lambda2 5.545 * [taylor]: Taking taylor expansion of 0 in R 5.545 * [taylor]: Taking taylor expansion of 0 in R 5.545 * [taylor]: Taking taylor expansion of 0 in R 5.545 * [taylor]: Taking taylor expansion of 0 in R 5.545 * [taylor]: Taking taylor expansion of 0 in R 5.547 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 5.547 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in R 5.547 * [taylor]: Taking taylor expansion of -1 in R 5.547 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in R 5.547 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in R 5.547 * [taylor]: Taking taylor expansion of R in R 5.548 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda2 5.548 * [taylor]: Taking taylor expansion of -1 in lambda2 5.548 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda2 5.548 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 5.548 * [taylor]: Taking taylor expansion of R in lambda2 5.549 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in lambda1 5.549 * [taylor]: Taking taylor expansion of -1 in lambda1 5.549 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in lambda1 5.549 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 5.549 * [taylor]: Taking taylor expansion of R in lambda1 5.550 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi2 5.550 * [taylor]: Taking taylor expansion of -1 in phi2 5.550 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi2 5.550 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 5.550 * [taylor]: Taking taylor expansion of R in phi2 5.551 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 5.551 * [taylor]: Taking taylor expansion of -1 in phi1 5.551 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 5.551 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.551 * [taylor]: Taking taylor expansion of R in phi1 5.551 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R)) in phi1 5.551 * [taylor]: Taking taylor expansion of -1 in phi1 5.551 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) R) in phi1 5.552 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 5.552 * [taylor]: Taking taylor expansion of R in phi1 5.553 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 5.553 * [taylor]: Taking taylor expansion of -1 in phi2 5.553 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 5.553 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 5.553 * [taylor]: Taking taylor expansion of R in phi2 5.554 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 5.554 * [taylor]: Taking taylor expansion of -1 in lambda1 5.554 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 5.554 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.555 * [taylor]: Taking taylor expansion of R in lambda1 5.555 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 5.555 * [taylor]: Taking taylor expansion of -1 in lambda2 5.555 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 5.555 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 5.556 * [taylor]: Taking taylor expansion of R in lambda2 5.557 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 5.557 * [taylor]: Taking taylor expansion of -1 in R 5.557 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 5.557 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 5.557 * [taylor]: Taking taylor expansion of R in R 5.559 * [taylor]: Taking taylor expansion of 0 in phi2 5.559 * [taylor]: Taking taylor expansion of 0 in lambda1 5.559 * [taylor]: Taking taylor expansion of 0 in lambda2 5.560 * [taylor]: Taking taylor expansion of 0 in R 5.560 * [taylor]: Taking taylor expansion of 0 in lambda1 5.560 * [taylor]: Taking taylor expansion of 0 in lambda2 5.560 * [taylor]: Taking taylor expansion of 0 in R 5.561 * [taylor]: Taking taylor expansion of 0 in lambda2 5.561 * [taylor]: Taking taylor expansion of 0 in R 5.562 * [taylor]: Taking taylor expansion of 0 in R 5.564 * [taylor]: Taking taylor expansion of 0 in phi2 5.564 * [taylor]: Taking taylor expansion of 0 in lambda1 5.564 * [taylor]: Taking taylor expansion of 0 in lambda2 5.564 * [taylor]: Taking taylor expansion of 0 in R 5.564 * [taylor]: Taking taylor expansion of 0 in lambda1 5.564 * [taylor]: Taking taylor expansion of 0 in lambda2 5.564 * [taylor]: Taking taylor expansion of 0 in R 5.565 * [taylor]: Taking taylor expansion of 0 in lambda1 5.565 * [taylor]: Taking taylor expansion of 0 in lambda2 5.565 * [taylor]: Taking taylor expansion of 0 in R 5.565 * [taylor]: Taking taylor expansion of 0 in lambda2 5.565 * [taylor]: Taking taylor expansion of 0 in R 5.565 * [taylor]: Taking taylor expansion of 0 in lambda2 5.565 * [taylor]: Taking taylor expansion of 0 in R 5.566 * [taylor]: Taking taylor expansion of 0 in lambda2 5.566 * [taylor]: Taking taylor expansion of 0 in R 5.566 * [taylor]: Taking taylor expansion of 0 in R 5.566 * [taylor]: Taking taylor expansion of 0 in R 5.566 * [taylor]: Taking taylor expansion of 0 in R 5.567 * [taylor]: Taking taylor expansion of 0 in R 5.569 * * * [progress]: simplifying candidates 5.570 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (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)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (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))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (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))))))) (exp (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)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (log (exp (* (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)))))))))) R) (* (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (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)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) R) 5.576 * * [simplify]: iteration 0 : 95 enodes (cost 2374 ) 5.588 * * [simplify]: iteration 1 : 163 enodes (cost 2205 ) 5.620 * * [simplify]: iteration 2 : 341 enodes (cost 2025 ) 5.716 * * [simplify]: iteration 3 : 537 enodes (cost 1929 ) 5.864 * * [simplify]: iteration 4 : 710 enodes (cost 1929 ) 6.067 * * [simplify]: iteration 5 : 1366 enodes (cost 1927 ) 7.602 * * [simplify]: iteration 6 : 4365 enodes (cost 1927 ) 8.747 * * [simplify]: iteration done : 5000 enodes (cost 1927 ) 8.748 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (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)))))) 2) (/ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2) 0 (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)))))) (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)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1 (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))))))) (exp (* (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))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) E (sqrt (exp PI)) (exp (asin (+ (* (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)))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (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))))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (* 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)))))))) (* (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)))))) (* 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))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R (* R (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))))))) (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)))))) (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)))))) (exp (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))))))) (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))))))) (* 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))))))) 8.749 * * * [progress]: adding candidates to table 8.823 * * [progress]: iteration 4 / 4 8.823 * * * [progress]: picking best candidate 8.911 * * * * [pick]: Picked # 8.911 * * * [progress]: localizing error 8.947 * * * [progress]: generating rewritten candidates 8.947 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 8.955 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 8.957 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 8.975 * * * [progress]: generating series expansions 8.975 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 8.976 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 8.976 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 8.976 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 8.976 * [taylor]: Taking taylor expansion of 1/2 in lambda2 8.976 * [taylor]: Taking taylor expansion of PI in lambda2 8.976 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 8.976 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 8.976 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 8.976 * [taylor]: Taking taylor expansion of 1/2 in lambda1 8.976 * [taylor]: Taking taylor expansion of PI in lambda1 8.976 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 8.976 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 8.977 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 8.977 * [taylor]: Taking taylor expansion of 1/2 in phi2 8.977 * [taylor]: Taking taylor expansion of PI in phi2 8.977 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 8.977 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 8.977 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 8.977 * [taylor]: Taking taylor expansion of 1/2 in phi1 8.977 * [taylor]: Taking taylor expansion of PI in phi1 8.977 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 8.977 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 8.977 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 8.977 * [taylor]: Taking taylor expansion of 1/2 in phi1 8.977 * [taylor]: Taking taylor expansion of PI in phi1 8.977 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 8.978 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 8.978 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 8.978 * [taylor]: Taking taylor expansion of 1/2 in phi2 8.978 * [taylor]: Taking taylor expansion of PI in phi2 8.978 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 8.979 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 8.979 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 8.979 * [taylor]: Taking taylor expansion of 1/2 in lambda1 8.979 * [taylor]: Taking taylor expansion of PI in lambda1 8.979 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 8.980 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 8.980 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 8.980 * [taylor]: Taking taylor expansion of 1/2 in lambda2 8.980 * [taylor]: Taking taylor expansion of PI in lambda2 8.980 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 8.982 * [taylor]: Taking taylor expansion of 0 in phi2 8.982 * [taylor]: Taking taylor expansion of 0 in lambda1 8.982 * [taylor]: Taking taylor expansion of 0 in lambda2 8.982 * [taylor]: Taking taylor expansion of 0 in lambda1 8.982 * [taylor]: Taking taylor expansion of 0 in lambda2 8.982 * [taylor]: Taking taylor expansion of 0 in lambda2 8.982 * [taylor]: Taking taylor expansion of 0 in phi2 8.982 * [taylor]: Taking taylor expansion of 0 in lambda1 8.982 * [taylor]: Taking taylor expansion of 0 in lambda2 8.982 * [taylor]: Taking taylor expansion of 0 in lambda1 8.982 * [taylor]: Taking taylor expansion of 0 in lambda2 8.983 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 8.983 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 8.983 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 8.983 * [taylor]: Taking taylor expansion of 1/2 in lambda2 8.983 * [taylor]: Taking taylor expansion of PI in lambda2 8.983 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 8.983 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 8.983 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 8.983 * [taylor]: Taking taylor expansion of 1/2 in lambda1 8.983 * [taylor]: Taking taylor expansion of PI in lambda1 8.983 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 8.984 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 8.984 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 8.984 * [taylor]: Taking taylor expansion of 1/2 in phi2 8.984 * [taylor]: Taking taylor expansion of PI in phi2 8.984 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 8.984 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 8.984 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 8.984 * [taylor]: Taking taylor expansion of 1/2 in phi1 8.984 * [taylor]: Taking taylor expansion of PI in phi1 8.984 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 8.985 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 8.985 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 8.985 * [taylor]: Taking taylor expansion of 1/2 in phi1 8.985 * [taylor]: Taking taylor expansion of PI in phi1 8.985 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 8.986 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 8.986 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 8.986 * [taylor]: Taking taylor expansion of 1/2 in phi2 8.986 * [taylor]: Taking taylor expansion of PI in phi2 8.986 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 8.987 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 8.987 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 8.987 * [taylor]: Taking taylor expansion of 1/2 in lambda1 8.987 * [taylor]: Taking taylor expansion of PI in lambda1 8.987 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 8.989 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 8.989 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 8.989 * [taylor]: Taking taylor expansion of 1/2 in lambda2 8.989 * [taylor]: Taking taylor expansion of PI in lambda2 8.989 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 8.991 * [taylor]: Taking taylor expansion of 0 in phi2 8.991 * [taylor]: Taking taylor expansion of 0 in lambda1 8.991 * [taylor]: Taking taylor expansion of 0 in lambda2 8.991 * [taylor]: Taking taylor expansion of 0 in lambda1 8.991 * [taylor]: Taking taylor expansion of 0 in lambda2 8.991 * [taylor]: Taking taylor expansion of 0 in lambda2 8.991 * [taylor]: Taking taylor expansion of 0 in phi2 8.991 * [taylor]: Taking taylor expansion of 0 in lambda1 8.991 * [taylor]: Taking taylor expansion of 0 in lambda2 8.991 * [taylor]: Taking taylor expansion of 0 in lambda1 8.991 * [taylor]: Taking taylor expansion of 0 in lambda2 8.992 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 8.992 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 8.992 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 8.992 * [taylor]: Taking taylor expansion of 1/2 in lambda2 8.992 * [taylor]: Taking taylor expansion of PI in lambda2 8.992 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 8.993 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 8.993 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 8.993 * [taylor]: Taking taylor expansion of 1/2 in lambda1 8.993 * [taylor]: Taking taylor expansion of PI in lambda1 8.993 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 8.993 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 8.993 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 8.993 * [taylor]: Taking taylor expansion of 1/2 in phi2 8.993 * [taylor]: Taking taylor expansion of PI in phi2 8.993 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 8.994 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 8.994 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 8.994 * [taylor]: Taking taylor expansion of 1/2 in phi1 8.994 * [taylor]: Taking taylor expansion of PI in phi1 8.994 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 8.994 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 8.994 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 8.994 * [taylor]: Taking taylor expansion of 1/2 in phi1 8.994 * [taylor]: Taking taylor expansion of PI in phi1 8.994 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 8.995 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 8.995 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 8.995 * [taylor]: Taking taylor expansion of 1/2 in phi2 8.995 * [taylor]: Taking taylor expansion of PI in phi2 8.995 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 8.997 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 8.997 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 8.997 * [taylor]: Taking taylor expansion of 1/2 in lambda1 8.997 * [taylor]: Taking taylor expansion of PI in lambda1 8.997 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 8.998 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 8.998 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 8.998 * [taylor]: Taking taylor expansion of 1/2 in lambda2 8.998 * [taylor]: Taking taylor expansion of PI in lambda2 8.998 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 9.003 * [taylor]: Taking taylor expansion of 0 in phi2 9.003 * [taylor]: Taking taylor expansion of 0 in lambda1 9.003 * [taylor]: Taking taylor expansion of 0 in lambda2 9.003 * [taylor]: Taking taylor expansion of 0 in lambda1 9.003 * [taylor]: Taking taylor expansion of 0 in lambda2 9.003 * [taylor]: Taking taylor expansion of 0 in lambda2 9.003 * [taylor]: Taking taylor expansion of 0 in phi2 9.003 * [taylor]: Taking taylor expansion of 0 in lambda1 9.003 * [taylor]: Taking taylor expansion of 0 in lambda2 9.003 * [taylor]: Taking taylor expansion of 0 in lambda1 9.003 * [taylor]: Taking taylor expansion of 0 in lambda2 9.004 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 9.004 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.004 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 9.005 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 9.005 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 9.005 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 9.005 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 9.006 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 9.006 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 9.006 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 9.007 * [taylor]: Taking taylor expansion of 0 in phi2 9.007 * [taylor]: Taking taylor expansion of 0 in lambda1 9.007 * [taylor]: Taking taylor expansion of 0 in lambda2 9.007 * [taylor]: Taking taylor expansion of 0 in lambda1 9.007 * [taylor]: Taking taylor expansion of 0 in lambda2 9.007 * [taylor]: Taking taylor expansion of 0 in lambda2 9.007 * [taylor]: Taking taylor expansion of 0 in phi2 9.007 * [taylor]: Taking taylor expansion of 0 in lambda1 9.007 * [taylor]: Taking taylor expansion of 0 in lambda2 9.007 * [taylor]: Taking taylor expansion of 0 in lambda1 9.008 * [taylor]: Taking taylor expansion of 0 in lambda2 9.008 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 9.008 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 9.009 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 9.009 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 9.009 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 9.010 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 9.010 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 9.011 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 9.011 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 9.012 * [taylor]: Taking taylor expansion of 0 in phi2 9.012 * [taylor]: Taking taylor expansion of 0 in lambda1 9.012 * [taylor]: Taking taylor expansion of 0 in lambda2 9.012 * [taylor]: Taking taylor expansion of 0 in lambda1 9.012 * [taylor]: Taking taylor expansion of 0 in lambda2 9.012 * [taylor]: Taking taylor expansion of 0 in lambda2 9.012 * [taylor]: Taking taylor expansion of 0 in phi2 9.012 * [taylor]: Taking taylor expansion of 0 in lambda1 9.012 * [taylor]: Taking taylor expansion of 0 in lambda2 9.012 * [taylor]: Taking taylor expansion of 0 in lambda1 9.012 * [taylor]: Taking taylor expansion of 0 in lambda2 9.013 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.013 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 9.014 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 9.014 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 9.014 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 9.015 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 9.015 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 9.016 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.016 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 9.017 * [taylor]: Taking taylor expansion of 0 in phi2 9.017 * [taylor]: Taking taylor expansion of 0 in lambda1 9.017 * [taylor]: Taking taylor expansion of 0 in lambda2 9.017 * [taylor]: Taking taylor expansion of 0 in lambda1 9.017 * [taylor]: Taking taylor expansion of 0 in lambda2 9.017 * [taylor]: Taking taylor expansion of 0 in lambda2 9.017 * [taylor]: Taking taylor expansion of 0 in phi2 9.017 * [taylor]: Taking taylor expansion of 0 in lambda1 9.017 * [taylor]: Taking taylor expansion of 0 in lambda2 9.017 * [taylor]: Taking taylor expansion of 0 in lambda1 9.017 * [taylor]: Taking taylor expansion of 0 in lambda2 9.018 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 9.018 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.018 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 9.018 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.018 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.018 * [taylor]: Taking taylor expansion of PI in lambda2 9.018 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 9.019 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 9.019 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.019 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.019 * [taylor]: Taking taylor expansion of PI in lambda1 9.019 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 9.019 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 9.019 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.019 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.019 * [taylor]: Taking taylor expansion of PI in phi2 9.019 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 9.019 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 9.019 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.019 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.019 * [taylor]: Taking taylor expansion of PI in phi1 9.019 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 9.020 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 9.020 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.020 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.020 * [taylor]: Taking taylor expansion of PI in phi1 9.020 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 9.021 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 9.021 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.021 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.021 * [taylor]: Taking taylor expansion of PI in phi2 9.021 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 9.022 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 9.022 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.022 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.022 * [taylor]: Taking taylor expansion of PI in lambda1 9.022 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 9.023 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 9.023 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.023 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.023 * [taylor]: Taking taylor expansion of PI in lambda2 9.023 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 9.024 * [taylor]: Taking taylor expansion of 0 in phi2 9.024 * [taylor]: Taking taylor expansion of 0 in lambda1 9.024 * [taylor]: Taking taylor expansion of 0 in lambda2 9.024 * [taylor]: Taking taylor expansion of 0 in lambda1 9.024 * [taylor]: Taking taylor expansion of 0 in lambda2 9.024 * [taylor]: Taking taylor expansion of 0 in lambda2 9.024 * [taylor]: Taking taylor expansion of 0 in phi2 9.024 * [taylor]: Taking taylor expansion of 0 in lambda1 9.024 * [taylor]: Taking taylor expansion of 0 in lambda2 9.024 * [taylor]: Taking taylor expansion of 0 in lambda1 9.024 * [taylor]: Taking taylor expansion of 0 in lambda2 9.025 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.025 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 9.025 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.025 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.025 * [taylor]: Taking taylor expansion of PI in lambda2 9.025 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 9.026 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 9.026 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.026 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.026 * [taylor]: Taking taylor expansion of PI in lambda1 9.026 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 9.026 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 9.026 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.026 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.026 * [taylor]: Taking taylor expansion of PI in phi2 9.026 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 9.027 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 9.027 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.027 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.027 * [taylor]: Taking taylor expansion of PI in phi1 9.027 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 9.027 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 9.027 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.027 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.027 * [taylor]: Taking taylor expansion of PI in phi1 9.027 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 9.028 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 9.028 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.028 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.028 * [taylor]: Taking taylor expansion of PI in phi2 9.028 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 9.030 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 9.030 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.030 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.030 * [taylor]: Taking taylor expansion of PI in lambda1 9.030 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 9.031 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 9.031 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.031 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.031 * [taylor]: Taking taylor expansion of PI in lambda2 9.031 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 9.033 * [taylor]: Taking taylor expansion of 0 in phi2 9.033 * [taylor]: Taking taylor expansion of 0 in lambda1 9.033 * [taylor]: Taking taylor expansion of 0 in lambda2 9.033 * [taylor]: Taking taylor expansion of 0 in lambda1 9.033 * [taylor]: Taking taylor expansion of 0 in lambda2 9.033 * [taylor]: Taking taylor expansion of 0 in lambda2 9.033 * [taylor]: Taking taylor expansion of 0 in phi2 9.033 * [taylor]: Taking taylor expansion of 0 in lambda1 9.033 * [taylor]: Taking taylor expansion of 0 in lambda2 9.033 * [taylor]: Taking taylor expansion of 0 in lambda1 9.033 * [taylor]: Taking taylor expansion of 0 in lambda2 9.034 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.034 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 9.034 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.034 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.034 * [taylor]: Taking taylor expansion of PI in lambda2 9.034 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 9.035 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 9.035 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.035 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.035 * [taylor]: Taking taylor expansion of PI in lambda1 9.035 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 9.035 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 9.035 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.035 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.035 * [taylor]: Taking taylor expansion of PI in phi2 9.035 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 9.036 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 9.036 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.036 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.036 * [taylor]: Taking taylor expansion of PI in phi1 9.036 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 9.036 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 9.036 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.036 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.036 * [taylor]: Taking taylor expansion of PI in phi1 9.036 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 9.038 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 9.038 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.038 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.038 * [taylor]: Taking taylor expansion of PI in phi2 9.038 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 9.039 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 9.039 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.039 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.039 * [taylor]: Taking taylor expansion of PI in lambda1 9.039 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.040 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 9.040 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.040 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.040 * [taylor]: Taking taylor expansion of PI in lambda2 9.040 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 9.042 * [taylor]: Taking taylor expansion of 0 in phi2 9.042 * [taylor]: Taking taylor expansion of 0 in lambda1 9.042 * [taylor]: Taking taylor expansion of 0 in lambda2 9.042 * [taylor]: Taking taylor expansion of 0 in lambda1 9.042 * [taylor]: Taking taylor expansion of 0 in lambda2 9.042 * [taylor]: Taking taylor expansion of 0 in lambda2 9.042 * [taylor]: Taking taylor expansion of 0 in phi2 9.042 * [taylor]: Taking taylor expansion of 0 in lambda1 9.042 * [taylor]: Taking taylor expansion of 0 in lambda2 9.042 * [taylor]: Taking taylor expansion of 0 in lambda1 9.042 * [taylor]: Taking taylor expansion of 0 in lambda2 9.043 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 9.043 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.043 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda2 9.043 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 9.043 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.043 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.043 * [taylor]: Taking taylor expansion of PI in lambda2 9.043 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 9.045 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda1 9.045 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 9.045 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.045 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.045 * [taylor]: Taking taylor expansion of PI in lambda1 9.045 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 9.046 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi2 9.046 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 9.046 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.046 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.046 * [taylor]: Taking taylor expansion of PI in phi2 9.046 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 9.047 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi1 9.047 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 9.047 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.047 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.047 * [taylor]: Taking taylor expansion of PI in phi1 9.047 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 9.048 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi1 9.048 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi1 9.048 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.048 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.048 * [taylor]: Taking taylor expansion of PI in phi1 9.048 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi1 9.050 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in phi2 9.050 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in phi2 9.050 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.050 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.050 * [taylor]: Taking taylor expansion of PI in phi2 9.050 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in phi2 9.051 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda1 9.051 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda1 9.051 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.051 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.051 * [taylor]: Taking taylor expansion of PI in lambda1 9.051 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda1 9.052 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) in lambda2 9.052 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) in lambda2 9.052 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.052 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.052 * [taylor]: Taking taylor expansion of PI in lambda2 9.052 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) in lambda2 9.054 * [taylor]: Taking taylor expansion of 0 in phi2 9.054 * [taylor]: Taking taylor expansion of 0 in lambda1 9.054 * [taylor]: Taking taylor expansion of 0 in lambda2 9.055 * [taylor]: Taking taylor expansion of 0 in lambda1 9.055 * [taylor]: Taking taylor expansion of 0 in lambda2 9.055 * [taylor]: Taking taylor expansion of 0 in lambda2 9.056 * [taylor]: Taking taylor expansion of 0 in phi2 9.056 * [taylor]: Taking taylor expansion of 0 in lambda1 9.056 * [taylor]: Taking taylor expansion of 0 in lambda2 9.056 * [taylor]: Taking taylor expansion of 0 in lambda1 9.056 * [taylor]: Taking taylor expansion of 0 in lambda2 9.057 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.057 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda2 9.057 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 9.057 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.057 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.057 * [taylor]: Taking taylor expansion of PI in lambda2 9.057 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 9.059 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda1 9.059 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 9.059 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.059 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.059 * [taylor]: Taking taylor expansion of PI in lambda1 9.059 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 9.060 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi2 9.060 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 9.060 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.060 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.061 * [taylor]: Taking taylor expansion of PI in phi2 9.061 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 9.062 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi1 9.062 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 9.062 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.062 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.062 * [taylor]: Taking taylor expansion of PI in phi1 9.062 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 9.064 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi1 9.064 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi1 9.064 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.064 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.064 * [taylor]: Taking taylor expansion of PI in phi1 9.064 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 9.066 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in phi2 9.066 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in phi2 9.066 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.066 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.066 * [taylor]: Taking taylor expansion of PI in phi2 9.066 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 9.067 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda1 9.067 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda1 9.067 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.067 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.067 * [taylor]: Taking taylor expansion of PI in lambda1 9.067 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda1 9.069 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))))) in lambda2 9.069 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) in lambda2 9.069 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.069 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.069 * [taylor]: Taking taylor expansion of PI in lambda2 9.069 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in lambda2 9.072 * [taylor]: Taking taylor expansion of 0 in phi2 9.072 * [taylor]: Taking taylor expansion of 0 in lambda1 9.072 * [taylor]: Taking taylor expansion of 0 in lambda2 9.072 * [taylor]: Taking taylor expansion of 0 in lambda1 9.072 * [taylor]: Taking taylor expansion of 0 in lambda2 9.073 * [taylor]: Taking taylor expansion of 0 in lambda2 9.074 * [taylor]: Taking taylor expansion of 0 in phi2 9.074 * [taylor]: Taking taylor expansion of 0 in lambda1 9.074 * [taylor]: Taking taylor expansion of 0 in lambda2 9.074 * [taylor]: Taking taylor expansion of 0 in lambda1 9.074 * [taylor]: Taking taylor expansion of 0 in lambda2 9.075 * [approximate]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.075 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in lambda2 9.075 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda2 9.075 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.075 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.075 * [taylor]: Taking taylor expansion of PI in lambda2 9.075 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda2 9.077 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in lambda1 9.077 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in lambda1 9.077 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.077 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.077 * [taylor]: Taking taylor expansion of PI in lambda1 9.077 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in lambda1 9.078 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in phi2 9.079 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi2 9.079 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.079 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.079 * [taylor]: Taking taylor expansion of PI in phi2 9.079 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi2 9.083 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in phi1 9.083 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 9.083 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.083 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.083 * [taylor]: Taking taylor expansion of PI in phi1 9.083 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 9.084 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))))) in phi1 9.084 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2))))))))) in phi1 9.084 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 9.084 * [taylor]: Taking taylor expansion of 1/2 in phi1 9.084 * [taylor]: Taking taylor expansion of PI in phi1 9.084 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi2)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi1)) (cos (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi2)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi1)) (sin (/ -1 lambda2)))))))) in phi1 9.086 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) in phi2 9.086 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 9.086 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 9.086 * [taylor]: Taking taylor expansion of 1/2 in phi2 9.086 * [taylor]: Taking taylor expansion of PI in phi2 9.086 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 9.088 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) in lambda1 9.088 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 9.088 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 9.088 * [taylor]: Taking taylor expansion of 1/2 in lambda1 9.088 * [taylor]: Taking taylor expansion of PI in lambda1 9.088 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.090 * [taylor]: Taking taylor expansion of (exp (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) in lambda2 9.090 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 9.090 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 9.090 * [taylor]: Taking taylor expansion of 1/2 in lambda2 9.090 * [taylor]: Taking taylor expansion of PI in lambda2 9.090 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 9.092 * [taylor]: Taking taylor expansion of 0 in phi2 9.092 * [taylor]: Taking taylor expansion of 0 in lambda1 9.092 * [taylor]: Taking taylor expansion of 0 in lambda2 9.093 * [taylor]: Taking taylor expansion of 0 in lambda1 9.093 * [taylor]: Taking taylor expansion of 0 in lambda2 9.094 * [taylor]: Taking taylor expansion of 0 in lambda2 9.095 * [taylor]: Taking taylor expansion of 0 in phi2 9.095 * [taylor]: Taking taylor expansion of 0 in lambda1 9.095 * [taylor]: Taking taylor expansion of 0 in lambda2 9.095 * [taylor]: Taking taylor expansion of 0 in lambda1 9.095 * [taylor]: Taking taylor expansion of 0 in lambda2 9.095 * * * [progress]: simplifying candidates 9.097 * [simplify]: Simplifying using # : (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (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))))))) (- (/ PI 2) (asin (+ (* (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)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (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))))))))) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (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))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (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))))))) (- (/ PI 2) (/ PI 2)) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (/ PI 2))) (log (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (- (/ PI 2) (/ PI 2)))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log 1) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (* (cbrt (- (/ PI 2) 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lambda2)))))))))) (exp (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (cbrt (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (* (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin 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1) (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp 1) (exp (/ PI 2)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (- (/ PI 2) (/ PI 2))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (/ PI 2)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2)))))))) (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) (exp (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (sin lambda2) (* (sin lambda1) (* (cos phi1) (cos phi2)))) (* (cos lambda2) (* (cos lambda1) (* (cos phi1) (cos phi2))))))))) 9.103 * * [simplify]: iteration 0 : 109 enodes (cost 2805 ) 9.117 * * [simplify]: iteration 1 : 198 enodes (cost 2579 ) 9.144 * * [simplify]: iteration 2 : 379 enodes (cost 2381 ) 9.212 * * [simplify]: iteration 3 : 682 enodes (cost 2377 ) 9.424 * * [simplify]: iteration 4 : 1605 enodes (cost 2377 ) 10.252 * * [simplify]: iteration done : 5001 enodes (cost 2377 ) 10.253 * [simplify]: Simplified to: (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* 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(sin lambda1) (sin lambda2))))))))) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ (* PI PI) 4) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (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))))))) (+ (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (/ PI 2))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) 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lambda2))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 1/2 PI) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 0 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* 1/2 PI) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 2 (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) 0 (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1 (+ (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (/ PI 2))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1 (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) E (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) E (sqrt (exp PI)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (exp PI)) (exp (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (exp (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (pow (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 3) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2)))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (- (* 1/2 PI) (asin (+ (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (sin phi1) (sin phi2))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 10.254 * * * [progress]: adding candidates to table 10.368 * [progress]: [Phase 3 of 3] Extracting. 10.368 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 10.390 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 10.390 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 10.554 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 10.715 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 10.877 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 11.041 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 11.204 * * * [regime]: Found split indices: #