6.388 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.282 * * * [progress]: [2/2] Setting up program. 0.289 * [progress]: [Phase 2 of 3] Improving. 0.289 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.291 * * [simplify]: iteration 0 : 33 enodes (cost 19 ) 0.291 * * [simplify]: iteration 1 : 33 enodes (cost 19 ) 0.291 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R) 0.297 * * [progress]: iteration 1 / 4 0.297 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.325 * * * [progress]: generating rewritten candidates 0.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.329 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.331 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.334 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.341 * * * [progress]: generating series expansions 0.341 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.341 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.341 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.341 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.341 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.341 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.341 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.341 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.342 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.342 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.342 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.342 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.342 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.342 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.342 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.343 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.343 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.343 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.343 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.343 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.343 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.343 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.343 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.344 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.344 * [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 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [taylor]: Taking taylor expansion of 0 in lambda2 0.345 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.345 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.345 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.345 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda1 in lambda2 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 lambda2 0.346 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.346 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.346 * [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 (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in phi2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda1 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda1 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in phi2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda1 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.348 * [taylor]: Taking taylor expansion of 0 in lambda1 0.348 * [taylor]: Taking taylor expansion of 0 in lambda2 0.349 * [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 0.349 * [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 (acos (+ (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in lambda1 0.349 * [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 0.349 * [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 0.350 * [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 0.350 * [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 0.350 * [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 0.350 * [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 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [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 0.352 * [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 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in lambda1 0.352 * [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 0.352 * [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 0.353 * [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 0.353 * [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 0.353 * [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 0.353 * [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 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in phi2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.355 * [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 0.355 * [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 0.355 * [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 lambda1 0.355 * [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 phi2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.355 * [taylor]: Taking taylor expansion of R in phi2 0.355 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.356 * [taylor]: Taking taylor expansion of R in phi1 0.356 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi1 0.356 * [taylor]: Taking taylor expansion of R in phi1 0.356 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in phi2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in phi2 0.356 * [taylor]: Taking taylor expansion of R in phi2 0.356 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda1 0.357 * [taylor]: Taking taylor expansion of R in lambda1 0.357 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in lambda2 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in lambda2 0.357 * [taylor]: Taking taylor expansion of R in lambda2 0.357 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) in R 0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) in R 0.357 * [taylor]: Taking taylor expansion of R in R 0.358 * [taylor]: Taking taylor expansion of 0 in phi2 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda1 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [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 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in phi2 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in lambda1 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [taylor]: Taking taylor expansion of 0 in lambda2 0.359 * [taylor]: Taking taylor expansion of 0 in R 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in R 0.360 * [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 0.360 * [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 R 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 R 0.360 * [taylor]: Taking taylor expansion of R in R 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 lambda2 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 lambda2 0.361 * [taylor]: Taking taylor expansion of R in lambda2 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 lambda1 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 lambda1 0.361 * [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 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))))) in phi2 0.362 * [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 phi1 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 phi1 0.362 * [taylor]: Taking taylor expansion of R in phi1 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))))) R) in phi1 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 phi1 0.363 * [taylor]: Taking taylor expansion of R in phi1 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))))) R) in phi2 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 phi2 0.363 * [taylor]: Taking taylor expansion of R in phi2 0.364 * [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 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of R in lambda1 0.364 * [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 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of R in lambda2 0.365 * [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 0.365 * [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 0.365 * [taylor]: Taking taylor expansion of R in R 0.366 * [taylor]: Taking taylor expansion of 0 in phi2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in 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 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.372 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) (* (cos (/ -1 phi1)) (cos (/ -1 phi2)))))) in R 0.373 * [taylor]: Taking taylor expansion of R in R 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 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of -1 in lambda1 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)))))) R) in lambda1 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 lambda1 0.374 * [taylor]: Taking taylor expansion of R in lambda1 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of -1 in phi2 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)))))) R) in phi2 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 phi2 0.375 * [taylor]: Taking taylor expansion of R in phi2 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of -1 in phi1 0.375 * [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 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of -1 in phi1 0.375 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of R in phi1 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of -1 in phi2 0.376 * [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 0.376 * [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 0.377 * [taylor]: Taking taylor expansion of R in phi2 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of -1 in lambda1 0.377 * [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 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of R in lambda1 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of -1 in lambda2 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of R in lambda2 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of -1 in R 0.379 * [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 0.379 * [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 0.379 * [taylor]: Taking taylor expansion of R in R 0.380 * [taylor]: Taking taylor expansion of 0 in phi2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in phi2 0.383 * [taylor]: Taking taylor expansion of 0 in lambda1 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda1 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in lambda2 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.386 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.386 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.387 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.387 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.387 * [taylor]: Taking taylor expansion of phi1 in phi2 0.387 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.387 * [taylor]: Taking taylor expansion of phi2 in phi2 0.387 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.387 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.387 * [taylor]: Taking taylor expansion of phi1 in phi1 0.387 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.387 * [taylor]: Taking taylor expansion of phi2 in phi1 0.387 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.387 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.387 * [taylor]: Taking taylor expansion of phi1 in phi1 0.387 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.387 * [taylor]: Taking taylor expansion of phi2 in phi1 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.388 * [taylor]: Taking taylor expansion of phi2 in phi2 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.389 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.389 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.389 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.389 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.389 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.390 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.390 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.390 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.390 * [taylor]: Taking taylor expansion of phi1 in phi2 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.390 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.390 * [taylor]: Taking taylor expansion of phi2 in phi2 0.390 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.390 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.390 * [taylor]: Taking taylor expansion of phi1 in phi1 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.390 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.390 * [taylor]: Taking taylor expansion of phi2 in phi1 0.390 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.390 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.390 * [taylor]: Taking taylor expansion of phi1 in phi1 0.390 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.390 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.391 * [taylor]: Taking taylor expansion of phi2 in phi1 0.391 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.391 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.391 * [taylor]: Taking taylor expansion of phi1 in phi2 0.391 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.391 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.391 * [taylor]: Taking taylor expansion of phi2 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.393 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.393 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.393 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.393 * [taylor]: Taking taylor expansion of -1 in phi2 0.394 * [taylor]: Taking taylor expansion of phi1 in phi2 0.394 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.394 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.394 * [taylor]: Taking taylor expansion of -1 in phi2 0.394 * [taylor]: Taking taylor expansion of phi2 in phi2 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of -1 in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of -1 in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.394 * [taylor]: Taking taylor expansion of -1 in phi1 0.394 * [taylor]: Taking taylor expansion of phi1 in phi1 0.394 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.394 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.394 * [taylor]: Taking taylor expansion of -1 in phi1 0.394 * [taylor]: Taking taylor expansion of phi2 in phi1 0.394 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.394 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.394 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.394 * [taylor]: Taking taylor expansion of -1 in phi2 0.394 * [taylor]: Taking taylor expansion of phi1 in phi2 0.395 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.395 * [taylor]: Taking taylor expansion of -1 in phi2 0.395 * [taylor]: Taking taylor expansion of phi2 in phi2 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.396 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * * * [progress]: simplifying candidates 0.398 * [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)) 0.433 * * [simplify]: iteration 0 : 4934 enodes (cost 887 ) 0.434 * * [simplify]: iteration 1 : 4934 enodes (cost 887 ) 0.437 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (neg (sin lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (neg (sin lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (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) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (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) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (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) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.437 * * * [progress]: adding candidates to table 0.530 * * [progress]: iteration 2 / 4 0.530 * * * [progress]: picking best candidate 0.616 * * * * [pick]: Picked # 0.616 * * * [progress]: localizing error 0.646 * * * [progress]: generating rewritten candidates 0.646 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.648 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.651 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.656 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.663 * * * [progress]: generating series expansions 0.663 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.664 * [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 0.664 * [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 0.664 * [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 0.664 * [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 0.665 * [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 0.665 * [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 0.665 * [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 0.666 * [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 0.666 * [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 0.667 * [taylor]: Taking taylor expansion of 0 in phi2 0.667 * [taylor]: Taking taylor expansion of 0 in lambda1 0.667 * [taylor]: Taking taylor expansion of 0 in lambda2 0.667 * [taylor]: Taking taylor expansion of 0 in lambda1 0.667 * [taylor]: Taking taylor expansion of 0 in lambda2 0.667 * [taylor]: Taking taylor expansion of 0 in lambda2 0.667 * [taylor]: Taking taylor expansion of 0 in phi2 0.667 * [taylor]: Taking taylor expansion of 0 in lambda1 0.667 * [taylor]: Taking taylor expansion of 0 in lambda2 0.667 * [taylor]: Taking taylor expansion of 0 in lambda1 0.667 * [taylor]: Taking taylor expansion of 0 in lambda2 0.668 * [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 0.668 * [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 0.668 * [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 0.669 * [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 0.669 * [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 0.669 * [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 0.670 * [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 0.670 * [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 0.671 * [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 0.672 * [taylor]: Taking taylor expansion of 0 in phi2 0.672 * [taylor]: Taking taylor expansion of 0 in lambda1 0.672 * [taylor]: Taking taylor expansion of 0 in lambda2 0.672 * [taylor]: Taking taylor expansion of 0 in lambda1 0.672 * [taylor]: Taking taylor expansion of 0 in lambda2 0.672 * [taylor]: Taking taylor expansion of 0 in lambda2 0.672 * [taylor]: Taking taylor expansion of 0 in phi2 0.672 * [taylor]: Taking taylor expansion of 0 in lambda1 0.672 * [taylor]: Taking taylor expansion of 0 in lambda2 0.672 * [taylor]: Taking taylor expansion of 0 in lambda1 0.672 * [taylor]: Taking taylor expansion of 0 in lambda2 0.673 * [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 0.673 * [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 0.673 * [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 0.674 * [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 0.674 * [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 0.675 * [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 0.675 * [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 0.675 * [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 0.676 * [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 0.677 * [taylor]: Taking taylor expansion of 0 in phi2 0.677 * [taylor]: Taking taylor expansion of 0 in lambda1 0.677 * [taylor]: Taking taylor expansion of 0 in lambda2 0.677 * [taylor]: Taking taylor expansion of 0 in lambda1 0.677 * [taylor]: Taking taylor expansion of 0 in lambda2 0.677 * [taylor]: Taking taylor expansion of 0 in lambda2 0.677 * [taylor]: Taking taylor expansion of 0 in phi2 0.677 * [taylor]: Taking taylor expansion of 0 in lambda1 0.677 * [taylor]: Taking taylor expansion of 0 in lambda2 0.677 * [taylor]: Taking taylor expansion of 0 in lambda1 0.677 * [taylor]: Taking taylor expansion of 0 in lambda2 0.678 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.678 * [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 0.678 * [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 0.678 * [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 0.678 * [taylor]: Taking taylor expansion of R in R 0.678 * [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 0.679 * [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 0.679 * [taylor]: Taking taylor expansion of R in lambda2 0.679 * [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 0.679 * [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 0.679 * [taylor]: Taking taylor expansion of R in lambda1 0.679 * [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 0.679 * [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 0.679 * [taylor]: Taking taylor expansion of R in phi2 0.680 * [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 0.680 * [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 0.680 * [taylor]: Taking taylor expansion of R in phi1 0.680 * [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 0.680 * [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 0.680 * [taylor]: Taking taylor expansion of R in phi1 0.681 * [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 0.681 * [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 0.681 * [taylor]: Taking taylor expansion of R in phi2 0.681 * [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 0.681 * [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 0.682 * [taylor]: Taking taylor expansion of R in lambda1 0.682 * [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 0.682 * [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 0.682 * [taylor]: Taking taylor expansion of R in lambda2 0.683 * [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 0.683 * [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 0.683 * [taylor]: Taking taylor expansion of R in R 0.684 * [taylor]: Taking taylor expansion of 0 in phi2 0.684 * [taylor]: Taking taylor expansion of 0 in lambda1 0.684 * [taylor]: Taking taylor expansion of 0 in lambda2 0.684 * [taylor]: Taking taylor expansion of 0 in R 0.684 * [taylor]: Taking taylor expansion of 0 in lambda1 0.684 * [taylor]: Taking taylor expansion of 0 in lambda2 0.684 * [taylor]: Taking taylor expansion of 0 in R 0.684 * [taylor]: Taking taylor expansion of 0 in lambda2 0.684 * [taylor]: Taking taylor expansion of 0 in R 0.685 * [taylor]: Taking taylor expansion of 0 in R 0.686 * [taylor]: Taking taylor expansion of 0 in phi2 0.686 * [taylor]: Taking taylor expansion of 0 in lambda1 0.686 * [taylor]: Taking taylor expansion of 0 in lambda2 0.686 * [taylor]: Taking taylor expansion of 0 in R 0.686 * [taylor]: Taking taylor expansion of 0 in lambda1 0.686 * [taylor]: Taking taylor expansion of 0 in lambda2 0.686 * [taylor]: Taking taylor expansion of 0 in R 0.686 * [taylor]: Taking taylor expansion of 0 in lambda1 0.686 * [taylor]: Taking taylor expansion of 0 in lambda2 0.686 * [taylor]: Taking taylor expansion of 0 in R 0.686 * [taylor]: Taking taylor expansion of 0 in lambda2 0.686 * [taylor]: Taking taylor expansion of 0 in R 0.686 * [taylor]: Taking taylor expansion of 0 in lambda2 0.686 * [taylor]: Taking taylor expansion of 0 in R 0.687 * [taylor]: Taking taylor expansion of 0 in lambda2 0.687 * [taylor]: Taking taylor expansion of 0 in R 0.688 * [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 0.688 * [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 0.688 * [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 0.688 * [taylor]: Taking taylor expansion of R in R 0.688 * [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 0.688 * [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 0.689 * [taylor]: Taking taylor expansion of R in lambda2 0.689 * [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 0.689 * [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 0.690 * [taylor]: Taking taylor expansion of R in lambda1 0.690 * [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 0.690 * [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 0.691 * [taylor]: Taking taylor expansion of R in phi2 0.691 * [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 0.691 * [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 0.691 * [taylor]: Taking taylor expansion of R in phi1 0.692 * [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 0.692 * [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 0.692 * [taylor]: Taking taylor expansion of R in phi1 0.693 * [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 0.693 * [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 0.693 * [taylor]: Taking taylor expansion of R in phi2 0.694 * [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 0.694 * [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 0.694 * [taylor]: Taking taylor expansion of R in lambda1 0.694 * [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 0.694 * [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 0.695 * [taylor]: Taking taylor expansion of R in lambda2 0.695 * [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 0.695 * [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 0.696 * [taylor]: Taking taylor expansion of R in R 0.697 * [taylor]: Taking taylor expansion of 0 in phi2 0.697 * [taylor]: Taking taylor expansion of 0 in lambda1 0.697 * [taylor]: Taking taylor expansion of 0 in lambda2 0.697 * [taylor]: Taking taylor expansion of 0 in R 0.698 * [taylor]: Taking taylor expansion of 0 in lambda1 0.698 * [taylor]: Taking taylor expansion of 0 in lambda2 0.698 * [taylor]: Taking taylor expansion of 0 in R 0.698 * [taylor]: Taking taylor expansion of 0 in lambda2 0.698 * [taylor]: Taking taylor expansion of 0 in R 0.699 * [taylor]: Taking taylor expansion of 0 in R 0.700 * [taylor]: Taking taylor expansion of 0 in phi2 0.700 * [taylor]: Taking taylor expansion of 0 in lambda1 0.700 * [taylor]: Taking taylor expansion of 0 in lambda2 0.700 * [taylor]: Taking taylor expansion of 0 in R 0.700 * [taylor]: Taking taylor expansion of 0 in lambda1 0.700 * [taylor]: Taking taylor expansion of 0 in lambda2 0.700 * [taylor]: Taking taylor expansion of 0 in R 0.700 * [taylor]: Taking taylor expansion of 0 in lambda1 0.700 * [taylor]: Taking taylor expansion of 0 in lambda2 0.700 * [taylor]: Taking taylor expansion of 0 in R 0.700 * [taylor]: Taking taylor expansion of 0 in lambda2 0.700 * [taylor]: Taking taylor expansion of 0 in R 0.701 * [taylor]: Taking taylor expansion of 0 in lambda2 0.701 * [taylor]: Taking taylor expansion of 0 in R 0.701 * [taylor]: Taking taylor expansion of 0 in lambda2 0.701 * [taylor]: Taking taylor expansion of 0 in R 0.701 * [taylor]: Taking taylor expansion of 0 in R 0.701 * [taylor]: Taking taylor expansion of 0 in R 0.701 * [taylor]: Taking taylor expansion of 0 in R 0.704 * [taylor]: Taking taylor expansion of 0 in R 0.705 * [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 0.705 * [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 0.705 * [taylor]: Taking taylor expansion of -1 in R 0.705 * [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 0.705 * [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 0.706 * [taylor]: Taking taylor expansion of R in R 0.706 * [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 0.706 * [taylor]: Taking taylor expansion of -1 in lambda2 0.706 * [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 0.706 * [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 0.707 * [taylor]: Taking taylor expansion of R in lambda2 0.707 * [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 0.707 * [taylor]: Taking taylor expansion of -1 in lambda1 0.707 * [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 0.707 * [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 0.707 * [taylor]: Taking taylor expansion of R in lambda1 0.708 * [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 0.708 * [taylor]: Taking taylor expansion of -1 in phi2 0.708 * [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 0.708 * [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 0.708 * [taylor]: Taking taylor expansion of R in phi2 0.709 * [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 0.709 * [taylor]: Taking taylor expansion of -1 in phi1 0.709 * [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 0.709 * [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 0.709 * [taylor]: Taking taylor expansion of R in phi1 0.710 * [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 0.710 * [taylor]: Taking taylor expansion of -1 in phi1 0.710 * [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 0.710 * [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 0.710 * [taylor]: Taking taylor expansion of R in phi1 0.711 * [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 0.711 * [taylor]: Taking taylor expansion of -1 in phi2 0.711 * [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 0.711 * [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 0.712 * [taylor]: Taking taylor expansion of R in phi2 0.712 * [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 0.712 * [taylor]: Taking taylor expansion of -1 in lambda1 0.712 * [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 0.712 * [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 0.713 * [taylor]: Taking taylor expansion of R in lambda1 0.714 * [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 0.714 * [taylor]: Taking taylor expansion of -1 in lambda2 0.714 * [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 0.714 * [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 0.714 * [taylor]: Taking taylor expansion of R in lambda2 0.715 * [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 0.715 * [taylor]: Taking taylor expansion of -1 in R 0.715 * [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 0.715 * [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 0.715 * [taylor]: Taking taylor expansion of R in R 0.718 * [taylor]: Taking taylor expansion of 0 in phi2 0.718 * [taylor]: Taking taylor expansion of 0 in lambda1 0.718 * [taylor]: Taking taylor expansion of 0 in lambda2 0.718 * [taylor]: Taking taylor expansion of 0 in R 0.719 * [taylor]: Taking taylor expansion of 0 in lambda1 0.719 * [taylor]: Taking taylor expansion of 0 in lambda2 0.719 * [taylor]: Taking taylor expansion of 0 in R 0.720 * [taylor]: Taking taylor expansion of 0 in lambda2 0.720 * [taylor]: Taking taylor expansion of 0 in R 0.721 * [taylor]: Taking taylor expansion of 0 in R 0.722 * [taylor]: Taking taylor expansion of 0 in phi2 0.722 * [taylor]: Taking taylor expansion of 0 in lambda1 0.722 * [taylor]: Taking taylor expansion of 0 in lambda2 0.722 * [taylor]: Taking taylor expansion of 0 in R 0.722 * [taylor]: Taking taylor expansion of 0 in lambda1 0.722 * [taylor]: Taking taylor expansion of 0 in lambda2 0.722 * [taylor]: Taking taylor expansion of 0 in R 0.723 * [taylor]: Taking taylor expansion of 0 in lambda1 0.723 * [taylor]: Taking taylor expansion of 0 in lambda2 0.723 * [taylor]: Taking taylor expansion of 0 in R 0.723 * [taylor]: Taking taylor expansion of 0 in lambda2 0.723 * [taylor]: Taking taylor expansion of 0 in R 0.724 * [taylor]: Taking taylor expansion of 0 in lambda2 0.724 * [taylor]: Taking taylor expansion of 0 in R 0.724 * [taylor]: Taking taylor expansion of 0 in lambda2 0.724 * [taylor]: Taking taylor expansion of 0 in R 0.725 * [taylor]: Taking taylor expansion of 0 in R 0.725 * [taylor]: Taking taylor expansion of 0 in R 0.725 * [taylor]: Taking taylor expansion of 0 in R 0.725 * [taylor]: Taking taylor expansion of 0 in R 0.727 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.727 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.727 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.727 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.727 * [taylor]: Taking taylor expansion of phi1 in phi2 0.727 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.727 * [taylor]: Taking taylor expansion of phi2 in phi2 0.727 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.727 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.727 * [taylor]: Taking taylor expansion of phi1 in phi1 0.727 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.727 * [taylor]: Taking taylor expansion of phi2 in phi1 0.727 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.728 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.728 * [taylor]: Taking taylor expansion of phi1 in phi1 0.728 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.728 * [taylor]: Taking taylor expansion of phi2 in phi1 0.728 * [taylor]: Taking taylor expansion of 0 in phi2 0.728 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.728 * [taylor]: Taking taylor expansion of phi2 in phi2 0.729 * [taylor]: Taking taylor expansion of 0 in phi2 0.729 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.729 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.729 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.729 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.729 * [taylor]: Taking taylor expansion of phi2 in phi2 0.730 * [taylor]: Taking taylor expansion of 0 in phi2 0.730 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.730 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.731 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.731 * [taylor]: Taking taylor expansion of phi1 in phi2 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.731 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.731 * [taylor]: Taking taylor expansion of phi2 in phi2 0.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.731 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.731 * [taylor]: Taking taylor expansion of phi1 in phi1 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.731 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.731 * [taylor]: Taking taylor expansion of phi2 in phi1 0.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.731 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.731 * [taylor]: Taking taylor expansion of phi1 in phi1 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.731 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.731 * [taylor]: Taking taylor expansion of phi2 in phi1 0.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.731 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.731 * [taylor]: Taking taylor expansion of phi1 in phi2 0.731 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.732 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.732 * [taylor]: Taking taylor expansion of phi2 in phi2 0.732 * [taylor]: Taking taylor expansion of 0 in phi2 0.733 * [taylor]: Taking taylor expansion of 0 in phi2 0.734 * [taylor]: Taking taylor expansion of 0 in phi2 0.734 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.734 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.734 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.734 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.734 * [taylor]: Taking taylor expansion of -1 in phi2 0.734 * [taylor]: Taking taylor expansion of phi1 in phi2 0.734 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.734 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.734 * [taylor]: Taking taylor expansion of -1 in phi2 0.734 * [taylor]: Taking taylor expansion of phi2 in phi2 0.734 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.734 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.734 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.734 * [taylor]: Taking taylor expansion of -1 in phi1 0.734 * [taylor]: Taking taylor expansion of phi1 in phi1 0.734 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.734 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.734 * [taylor]: Taking taylor expansion of -1 in phi1 0.734 * [taylor]: Taking taylor expansion of phi2 in phi1 0.734 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.734 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.734 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.735 * [taylor]: Taking taylor expansion of -1 in phi1 0.735 * [taylor]: Taking taylor expansion of phi1 in phi1 0.735 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.735 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.735 * [taylor]: Taking taylor expansion of -1 in phi1 0.735 * [taylor]: Taking taylor expansion of phi2 in phi1 0.735 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.735 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.735 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.735 * [taylor]: Taking taylor expansion of -1 in phi2 0.735 * [taylor]: Taking taylor expansion of phi1 in phi2 0.735 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.735 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.735 * [taylor]: Taking taylor expansion of -1 in phi2 0.735 * [taylor]: Taking taylor expansion of phi2 in phi2 0.736 * [taylor]: Taking taylor expansion of 0 in phi2 0.736 * [taylor]: Taking taylor expansion of 0 in phi2 0.737 * [taylor]: Taking taylor expansion of 0 in phi2 0.737 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 0.738 * [approximate]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in (lambda1 lambda2) around 0 0.738 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda2 0.738 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.738 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.738 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.738 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.738 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 0.738 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.738 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.738 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.738 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.738 * [taylor]: Taking taylor expansion of (* (sin lambda2) (sin lambda1)) in lambda1 0.738 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.738 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.738 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.738 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.738 * [taylor]: Taking taylor expansion of 0 in lambda2 0.738 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.738 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.739 * [taylor]: Taking taylor expansion of 0 in lambda2 0.739 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 0.739 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 0.739 * [taylor]: Taking taylor expansion of 1/6 in lambda2 0.739 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.739 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.740 * [taylor]: Taking taylor expansion of 0 in lambda2 0.740 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.740 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.741 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.741 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.741 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.741 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.741 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.741 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.741 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.741 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.741 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.741 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.742 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.742 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.742 * [taylor]: Taking taylor expansion of 0 in lambda2 0.743 * [taylor]: Taking taylor expansion of 0 in lambda2 0.744 * [taylor]: Taking taylor expansion of 0 in lambda2 0.744 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 0.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.744 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.744 * [taylor]: Taking taylor expansion of -1 in lambda2 0.744 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.744 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.744 * [taylor]: Taking taylor expansion of -1 in lambda2 0.744 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.744 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.744 * [taylor]: Taking taylor expansion of -1 in lambda1 0.744 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.744 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.744 * [taylor]: Taking taylor expansion of -1 in lambda1 0.744 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.744 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.745 * [taylor]: Taking taylor expansion of -1 in lambda1 0.745 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.745 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.745 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.745 * [taylor]: Taking taylor expansion of -1 in lambda1 0.745 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.745 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.745 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.745 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.745 * [taylor]: Taking taylor expansion of -1 in lambda2 0.745 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.745 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.745 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.745 * [taylor]: Taking taylor expansion of -1 in lambda2 0.745 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.746 * [taylor]: Taking taylor expansion of 0 in lambda2 0.747 * [taylor]: Taking taylor expansion of 0 in lambda2 0.748 * [taylor]: Taking taylor expansion of 0 in lambda2 0.748 * * * [progress]: simplifying candidates 0.749 * [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)) 0.781 * * [simplify]: iteration 0 : 4927 enodes (cost 1173 ) 0.781 * * [simplify]: iteration 1 : 4927 enodes (cost 1173 ) 0.785 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (pow (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (pow (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) (* (sin lambda2) (cbrt (sin lambda1))) (* (sin lambda2) (sqrt (sin lambda1))) (* (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))))))) 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) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 0.785 * * * [progress]: adding candidates to table 0.887 * * [progress]: iteration 3 / 4 0.887 * * * [progress]: picking best candidate 0.972 * * * * [pick]: Picked # 0.972 * * * [progress]: localizing error 1.006 * * * [progress]: generating rewritten candidates 1.006 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.008 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.011 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.013 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.020 * * * [progress]: generating series expansions 1.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.021 * [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 1.021 * [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 1.021 * [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 1.021 * [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 1.022 * [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 1.022 * [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 1.022 * [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 1.023 * [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 1.023 * [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 1.024 * [taylor]: Taking taylor expansion of 0 in phi2 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [taylor]: Taking taylor expansion of 0 in phi2 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.025 * [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 1.025 * [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 1.025 * [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 1.025 * [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 1.026 * [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 1.026 * [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 1.029 * [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 1.029 * [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 1.030 * [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 1.030 * [taylor]: Taking taylor expansion of 0 in phi2 1.030 * [taylor]: Taking taylor expansion of 0 in lambda1 1.030 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in phi2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.031 * [taylor]: Taking taylor expansion of 0 in lambda1 1.031 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [approximate]: 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 (phi1 phi2 lambda1 lambda2) around 0 1.032 * [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 1.032 * [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 1.033 * [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 1.033 * [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 phi1 1.033 * [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 phi1 1.034 * [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 1.034 * [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 1.035 * [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 1.036 * [taylor]: Taking taylor expansion of 0 in phi2 1.036 * [taylor]: Taking taylor expansion of 0 in lambda1 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in lambda1 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in phi2 1.036 * [taylor]: Taking taylor expansion of 0 in lambda1 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in lambda1 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.037 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.037 * [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 1.037 * [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 1.037 * [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 1.038 * [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 1.038 * [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 1.038 * [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 1.039 * [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 1.039 * [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 1.039 * [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 1.040 * [taylor]: Taking taylor expansion of 0 in phi2 1.040 * [taylor]: Taking taylor expansion of 0 in lambda1 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in lambda1 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in phi2 1.040 * [taylor]: Taking taylor expansion of 0 in lambda1 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.040 * [taylor]: Taking taylor expansion of 0 in lambda1 1.040 * [taylor]: Taking taylor expansion of 0 in lambda2 1.041 * [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 1.041 * [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 1.041 * [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 1.042 * [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 1.042 * [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 1.042 * [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 1.043 * [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 1.043 * [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 1.044 * [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 1.045 * [taylor]: Taking taylor expansion of 0 in phi2 1.045 * [taylor]: Taking taylor expansion of 0 in lambda1 1.045 * [taylor]: Taking taylor expansion of 0 in lambda2 1.045 * [taylor]: Taking taylor expansion of 0 in lambda1 1.045 * [taylor]: Taking taylor expansion of 0 in lambda2 1.045 * [taylor]: Taking taylor expansion of 0 in lambda2 1.045 * [taylor]: Taking taylor expansion of 0 in phi2 1.045 * [taylor]: Taking taylor expansion of 0 in lambda1 1.045 * [taylor]: Taking taylor expansion of 0 in lambda2 1.045 * [taylor]: Taking taylor expansion of 0 in lambda1 1.045 * [taylor]: Taking taylor expansion of 0 in lambda2 1.046 * [approximate]: 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 (phi1 phi2 lambda1 lambda2) around 0 1.046 * [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 1.046 * [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 1.047 * [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 1.047 * [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 phi1 1.047 * [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 phi1 1.048 * [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 1.048 * [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 1.049 * [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 1.050 * [taylor]: Taking taylor expansion of 0 in phi2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in phi2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.050 * [taylor]: Taking taylor expansion of 0 in lambda1 1.050 * [taylor]: Taking taylor expansion of 0 in lambda2 1.051 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.051 * [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 1.051 * [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 1.051 * [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 1.052 * [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 1.052 * [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 1.052 * [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 1.052 * [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 1.053 * [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 1.053 * [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 1.054 * [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 1.054 * [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 1.054 * [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 1.054 * [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 1.055 * [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 1.055 * [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 1.056 * [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 1.056 * [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 1.057 * [taylor]: Taking taylor expansion of 0 in phi2 1.057 * [taylor]: Taking taylor expansion of 0 in lambda1 1.057 * [taylor]: Taking taylor expansion of 0 in lambda2 1.057 * [taylor]: Taking taylor expansion of 0 in lambda1 1.057 * [taylor]: Taking taylor expansion of 0 in lambda2 1.058 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of 0 in phi2 1.059 * [taylor]: Taking taylor expansion of 0 in lambda1 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of 0 in lambda1 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.060 * [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 1.060 * [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 1.060 * [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 1.060 * [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 1.060 * [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 1.061 * [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 1.061 * [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 1.062 * [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 1.062 * [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 1.063 * [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 1.063 * [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 1.064 * [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 1.064 * [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 1.064 * [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 1.064 * [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 1.065 * [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 1.065 * [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 1.067 * [taylor]: Taking taylor expansion of 0 in phi2 1.067 * [taylor]: Taking taylor expansion of 0 in lambda1 1.067 * [taylor]: Taking taylor expansion of 0 in lambda2 1.068 * [taylor]: Taking taylor expansion of 0 in lambda1 1.068 * [taylor]: Taking taylor expansion of 0 in lambda2 1.068 * [taylor]: Taking taylor expansion of 0 in lambda2 1.069 * [taylor]: Taking taylor expansion of 0 in phi2 1.069 * [taylor]: Taking taylor expansion of 0 in lambda1 1.069 * [taylor]: Taking taylor expansion of 0 in lambda2 1.069 * [taylor]: Taking taylor expansion of 0 in lambda1 1.069 * [taylor]: Taking taylor expansion of 0 in lambda2 1.070 * [approximate]: 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 (phi1 phi2 lambda1 lambda2) around 0 1.070 * [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 1.070 * [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 1.071 * [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 1.071 * [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 1.072 * [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 1.072 * [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 1.073 * [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 phi1 1.073 * [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 phi1 1.073 * [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 phi1 1.074 * [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 phi1 1.074 * [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 1.074 * [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 1.075 * [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 1.075 * [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 1.076 * [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 1.076 * [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 1.078 * [taylor]: Taking taylor expansion of 0 in phi2 1.078 * [taylor]: Taking taylor expansion of 0 in lambda1 1.078 * [taylor]: Taking taylor expansion of 0 in lambda2 1.079 * [taylor]: Taking taylor expansion of 0 in lambda1 1.079 * [taylor]: Taking taylor expansion of 0 in lambda2 1.079 * [taylor]: Taking taylor expansion of 0 in lambda2 1.080 * [taylor]: Taking taylor expansion of 0 in phi2 1.080 * [taylor]: Taking taylor expansion of 0 in lambda1 1.080 * [taylor]: Taking taylor expansion of 0 in lambda2 1.080 * [taylor]: Taking taylor expansion of 0 in lambda1 1.080 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.081 * [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 1.081 * [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 1.081 * [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 1.082 * [taylor]: Taking taylor expansion of R in R 1.082 * [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 1.082 * [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 1.082 * [taylor]: Taking taylor expansion of R in lambda2 1.082 * [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 1.082 * [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 1.082 * [taylor]: Taking taylor expansion of R in lambda1 1.082 * [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 1.082 * [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 1.083 * [taylor]: Taking taylor expansion of R in phi2 1.083 * [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 1.083 * [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 1.083 * [taylor]: Taking taylor expansion of R in phi1 1.083 * [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 1.083 * [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 1.083 * [taylor]: Taking taylor expansion of R in phi1 1.084 * [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 1.084 * [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 1.084 * [taylor]: Taking taylor expansion of R in phi2 1.084 * [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 1.084 * [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 1.084 * [taylor]: Taking taylor expansion of R in lambda1 1.085 * [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 1.085 * [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 1.085 * [taylor]: Taking taylor expansion of R in lambda2 1.085 * [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 1.085 * [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 1.086 * [taylor]: Taking taylor expansion of R in R 1.086 * [taylor]: Taking taylor expansion of 0 in phi2 1.086 * [taylor]: Taking taylor expansion of 0 in lambda1 1.086 * [taylor]: Taking taylor expansion of 0 in lambda2 1.086 * [taylor]: Taking taylor expansion of 0 in R 1.087 * [taylor]: Taking taylor expansion of 0 in lambda1 1.087 * [taylor]: Taking taylor expansion of 0 in lambda2 1.087 * [taylor]: Taking taylor expansion of 0 in R 1.087 * [taylor]: Taking taylor expansion of 0 in lambda2 1.087 * [taylor]: Taking taylor expansion of 0 in R 1.087 * [taylor]: Taking taylor expansion of 0 in R 1.088 * [taylor]: Taking taylor expansion of 0 in phi2 1.088 * [taylor]: Taking taylor expansion of 0 in lambda1 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.089 * [taylor]: Taking taylor expansion of 0 in lambda1 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.089 * [taylor]: Taking taylor expansion of 0 in lambda1 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.089 * [taylor]: Taking taylor expansion of 0 in lambda2 1.089 * [taylor]: Taking taylor expansion of 0 in R 1.090 * [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 1.090 * [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 1.090 * [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 1.091 * [taylor]: Taking taylor expansion of R in R 1.091 * [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 1.091 * [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 1.092 * [taylor]: Taking taylor expansion of R in lambda2 1.092 * [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 1.092 * [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 1.092 * [taylor]: Taking taylor expansion of R in lambda1 1.093 * [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 1.093 * [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 1.093 * [taylor]: Taking taylor expansion of R in phi2 1.094 * [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 1.094 * [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 1.094 * [taylor]: Taking taylor expansion of R in phi1 1.095 * [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 1.095 * [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 1.095 * [taylor]: Taking taylor expansion of R in phi1 1.095 * [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 1.095 * [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 1.096 * [taylor]: Taking taylor expansion of R in phi2 1.096 * [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 1.096 * [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 1.097 * [taylor]: Taking taylor expansion of R in lambda1 1.097 * [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 1.097 * [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 1.098 * [taylor]: Taking taylor expansion of R in lambda2 1.098 * [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 1.098 * [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 1.098 * [taylor]: Taking taylor expansion of R in R 1.100 * [taylor]: Taking taylor expansion of 0 in phi2 1.100 * [taylor]: Taking taylor expansion of 0 in lambda1 1.100 * [taylor]: Taking taylor expansion of 0 in lambda2 1.100 * [taylor]: Taking taylor expansion of 0 in R 1.101 * [taylor]: Taking taylor expansion of 0 in lambda1 1.101 * [taylor]: Taking taylor expansion of 0 in lambda2 1.101 * [taylor]: Taking taylor expansion of 0 in R 1.101 * [taylor]: Taking taylor expansion of 0 in lambda2 1.101 * [taylor]: Taking taylor expansion of 0 in R 1.102 * [taylor]: Taking taylor expansion of 0 in R 1.102 * [taylor]: Taking taylor expansion of 0 in phi2 1.102 * [taylor]: Taking taylor expansion of 0 in lambda1 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in R 1.103 * [taylor]: Taking taylor expansion of 0 in lambda1 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in R 1.103 * [taylor]: Taking taylor expansion of 0 in lambda1 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in R 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in R 1.103 * [taylor]: Taking taylor expansion of 0 in lambda2 1.103 * [taylor]: Taking taylor expansion of 0 in R 1.104 * [taylor]: Taking taylor expansion of 0 in lambda2 1.104 * [taylor]: Taking taylor expansion of 0 in R 1.104 * [taylor]: Taking taylor expansion of 0 in R 1.104 * [taylor]: Taking taylor expansion of 0 in R 1.104 * [taylor]: Taking taylor expansion of 0 in R 1.105 * [taylor]: Taking taylor expansion of 0 in R 1.106 * [approximate]: 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 (phi1 phi2 lambda1 lambda2 R) around 0 1.106 * [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 1.106 * [taylor]: Taking taylor expansion of -1 in R 1.106 * [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 1.106 * [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 1.107 * [taylor]: Taking taylor expansion of R in R 1.107 * [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 lambda2 1.107 * [taylor]: Taking taylor expansion of -1 in lambda2 1.107 * [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 lambda2 1.107 * [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 1.108 * [taylor]: Taking taylor expansion of R in lambda2 1.108 * [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 1.108 * [taylor]: Taking taylor expansion of -1 in lambda1 1.108 * [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 1.108 * [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 1.108 * [taylor]: Taking taylor expansion of R in lambda1 1.111 * [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 phi2 1.111 * [taylor]: Taking taylor expansion of -1 in phi2 1.111 * [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 phi2 1.111 * [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 1.111 * [taylor]: Taking taylor expansion of R in phi2 1.112 * [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 phi1 1.112 * [taylor]: Taking taylor expansion of -1 in phi1 1.112 * [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 phi1 1.112 * [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 phi1 1.112 * [taylor]: Taking taylor expansion of R in phi1 1.112 * [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 phi1 1.113 * [taylor]: Taking taylor expansion of -1 in phi1 1.113 * [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 phi1 1.113 * [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 phi1 1.113 * [taylor]: Taking taylor expansion of R in phi1 1.114 * [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 1.114 * [taylor]: Taking taylor expansion of -1 in phi2 1.114 * [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 1.114 * [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 1.114 * [taylor]: Taking taylor expansion of R in phi2 1.115 * [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 1.115 * [taylor]: Taking taylor expansion of -1 in lambda1 1.115 * [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 1.115 * [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 1.116 * [taylor]: Taking taylor expansion of R in lambda1 1.116 * [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 1.116 * [taylor]: Taking taylor expansion of -1 in lambda2 1.116 * [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 1.117 * [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 1.117 * [taylor]: Taking taylor expansion of R in lambda2 1.118 * [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 1.118 * [taylor]: Taking taylor expansion of -1 in R 1.118 * [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 1.118 * [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 1.118 * [taylor]: Taking taylor expansion of R in R 1.120 * [taylor]: Taking taylor expansion of 0 in phi2 1.121 * [taylor]: Taking taylor expansion of 0 in lambda1 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.121 * [taylor]: Taking taylor expansion of 0 in R 1.121 * [taylor]: Taking taylor expansion of 0 in lambda1 1.121 * [taylor]: Taking taylor expansion of 0 in lambda2 1.122 * [taylor]: Taking taylor expansion of 0 in R 1.122 * [taylor]: Taking taylor expansion of 0 in lambda2 1.122 * [taylor]: Taking taylor expansion of 0 in R 1.124 * [taylor]: Taking taylor expansion of 0 in R 1.125 * [taylor]: Taking taylor expansion of 0 in phi2 1.125 * [taylor]: Taking taylor expansion of 0 in lambda1 1.126 * [taylor]: Taking taylor expansion of 0 in lambda2 1.126 * [taylor]: Taking taylor expansion of 0 in R 1.126 * [taylor]: Taking taylor expansion of 0 in lambda1 1.126 * [taylor]: Taking taylor expansion of 0 in lambda2 1.126 * [taylor]: Taking taylor expansion of 0 in R 1.127 * [taylor]: Taking taylor expansion of 0 in lambda1 1.127 * [taylor]: Taking taylor expansion of 0 in lambda2 1.127 * [taylor]: Taking taylor expansion of 0 in R 1.127 * [taylor]: Taking taylor expansion of 0 in lambda2 1.127 * [taylor]: Taking taylor expansion of 0 in R 1.127 * [taylor]: Taking taylor expansion of 0 in lambda2 1.127 * [taylor]: Taking taylor expansion of 0 in R 1.128 * [taylor]: Taking taylor expansion of 0 in lambda2 1.128 * [taylor]: Taking taylor expansion of 0 in R 1.128 * [taylor]: Taking taylor expansion of 0 in R 1.128 * [taylor]: Taking taylor expansion of 0 in R 1.128 * [taylor]: Taking taylor expansion of 0 in R 1.129 * [taylor]: Taking taylor expansion of 0 in R 1.130 * * * [progress]: simplifying candidates 1.131 * [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) 1.185 * * [simplify]: iteration 0 : 5046 enodes (cost 1928 ) 1.191 * [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))))))) 1/2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1/2) (log 1) (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)))))))) (pow (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))))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (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)))))))) (* (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 (* (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) (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)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 1.191 * * * [progress]: adding candidates to table 1.262 * * [progress]: iteration 4 / 4 1.262 * * * [progress]: picking best candidate 1.351 * * * * [pick]: Picked # 1.351 * * * [progress]: localizing error 1.390 * * * [progress]: generating rewritten candidates 1.391 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.399 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 1.400 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.409 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 1.419 * * * [progress]: generating series expansions 1.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.419 * [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 1.419 * [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 1.419 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.419 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.419 * [taylor]: Taking taylor expansion of PI in lambda2 1.419 * [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 1.420 * [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 1.420 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.420 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.420 * [taylor]: Taking taylor expansion of PI in lambda1 1.420 * [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 1.420 * [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 1.420 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.420 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.420 * [taylor]: Taking taylor expansion of PI in phi2 1.420 * [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 1.420 * [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 1.420 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.421 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.421 * [taylor]: Taking taylor expansion of PI in phi1 1.421 * [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 1.421 * [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 1.421 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.421 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.421 * [taylor]: Taking taylor expansion of PI in phi1 1.421 * [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 1.422 * [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 1.422 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.422 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.422 * [taylor]: Taking taylor expansion of PI in phi2 1.422 * [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 1.423 * [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 1.423 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.423 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.423 * [taylor]: Taking taylor expansion of PI in lambda1 1.423 * [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 1.424 * [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 1.424 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.424 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.424 * [taylor]: Taking taylor expansion of PI in lambda2 1.424 * [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 1.425 * [taylor]: Taking taylor expansion of 0 in phi2 1.425 * [taylor]: Taking taylor expansion of 0 in lambda1 1.425 * [taylor]: Taking taylor expansion of 0 in lambda2 1.425 * [taylor]: Taking taylor expansion of 0 in lambda1 1.425 * [taylor]: Taking taylor expansion of 0 in lambda2 1.425 * [taylor]: Taking taylor expansion of 0 in lambda2 1.425 * [taylor]: Taking taylor expansion of 0 in phi2 1.425 * [taylor]: Taking taylor expansion of 0 in lambda1 1.425 * [taylor]: Taking taylor expansion of 0 in lambda2 1.425 * [taylor]: Taking taylor expansion of 0 in lambda1 1.426 * [taylor]: Taking taylor expansion of 0 in lambda2 1.426 * [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 1.426 * [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 1.426 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.426 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.426 * [taylor]: Taking taylor expansion of PI in lambda2 1.426 * [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 1.427 * [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 1.427 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.427 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.427 * [taylor]: Taking taylor expansion of PI in lambda1 1.427 * [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 1.427 * [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 1.427 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.427 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.427 * [taylor]: Taking taylor expansion of PI in phi2 1.427 * [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 1.428 * [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 1.428 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.428 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.428 * [taylor]: Taking taylor expansion of PI in phi1 1.428 * [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 1.428 * [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 1.428 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.428 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.428 * [taylor]: Taking taylor expansion of PI in phi1 1.428 * [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 1.430 * [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 1.430 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.430 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.430 * [taylor]: Taking taylor expansion of PI in phi2 1.430 * [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 1.431 * [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 1.431 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.431 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.431 * [taylor]: Taking taylor expansion of PI in lambda1 1.431 * [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 1.432 * [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 1.432 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.432 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.432 * [taylor]: Taking taylor expansion of PI in lambda2 1.432 * [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 1.434 * [taylor]: Taking taylor expansion of 0 in phi2 1.434 * [taylor]: Taking taylor expansion of 0 in lambda1 1.434 * [taylor]: Taking taylor expansion of 0 in lambda2 1.434 * [taylor]: Taking taylor expansion of 0 in lambda1 1.434 * [taylor]: Taking taylor expansion of 0 in lambda2 1.434 * [taylor]: Taking taylor expansion of 0 in lambda2 1.434 * [taylor]: Taking taylor expansion of 0 in phi2 1.434 * [taylor]: Taking taylor expansion of 0 in lambda1 1.434 * [taylor]: Taking taylor expansion of 0 in lambda2 1.434 * [taylor]: Taking taylor expansion of 0 in lambda1 1.434 * [taylor]: Taking taylor expansion of 0 in lambda2 1.435 * [approximate]: 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 (phi1 phi2 lambda1 lambda2) around 0 1.435 * [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 1.435 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.435 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.435 * [taylor]: Taking taylor expansion of PI in lambda2 1.435 * [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 1.436 * [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 1.436 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.436 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.436 * [taylor]: Taking taylor expansion of PI in lambda1 1.436 * [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 1.436 * [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 1.436 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.436 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.436 * [taylor]: Taking taylor expansion of PI in phi2 1.436 * [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 1.437 * [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 phi1 1.437 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.437 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.437 * [taylor]: Taking taylor expansion of PI in phi1 1.437 * [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 phi1 1.437 * [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 phi1 1.437 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.437 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.437 * [taylor]: Taking taylor expansion of PI in phi1 1.437 * [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 phi1 1.439 * [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 1.439 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.439 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.439 * [taylor]: Taking taylor expansion of PI in phi2 1.439 * [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 1.440 * [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 1.440 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.440 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.440 * [taylor]: Taking taylor expansion of PI in lambda1 1.440 * [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 1.441 * [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 1.441 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.441 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.441 * [taylor]: Taking taylor expansion of PI in lambda2 1.441 * [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 1.443 * [taylor]: Taking taylor expansion of 0 in phi2 1.443 * [taylor]: Taking taylor expansion of 0 in lambda1 1.443 * [taylor]: Taking taylor expansion of 0 in lambda2 1.444 * [taylor]: Taking taylor expansion of 0 in lambda1 1.444 * [taylor]: Taking taylor expansion of 0 in lambda2 1.444 * [taylor]: Taking taylor expansion of 0 in lambda2 1.444 * [taylor]: Taking taylor expansion of 0 in phi2 1.444 * [taylor]: Taking taylor expansion of 0 in lambda1 1.444 * [taylor]: Taking taylor expansion of 0 in lambda2 1.444 * [taylor]: Taking taylor expansion of 0 in lambda1 1.444 * [taylor]: Taking taylor expansion of 0 in lambda2 1.444 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 1.445 * [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 1.445 * [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 1.445 * [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 1.445 * [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 1.446 * [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 1.446 * [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 1.446 * [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 1.447 * [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 1.447 * [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 1.448 * [taylor]: Taking taylor expansion of 0 in phi2 1.448 * [taylor]: Taking taylor expansion of 0 in lambda1 1.448 * [taylor]: Taking taylor expansion of 0 in lambda2 1.448 * [taylor]: Taking taylor expansion of 0 in lambda1 1.448 * [taylor]: Taking taylor expansion of 0 in lambda2 1.448 * [taylor]: Taking taylor expansion of 0 in lambda2 1.448 * [taylor]: Taking taylor expansion of 0 in phi2 1.448 * [taylor]: Taking taylor expansion of 0 in lambda1 1.448 * [taylor]: Taking taylor expansion of 0 in lambda2 1.448 * [taylor]: Taking taylor expansion of 0 in lambda1 1.448 * [taylor]: Taking taylor expansion of 0 in lambda2 1.448 * [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 1.449 * [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 1.449 * [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 1.449 * [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 1.450 * [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 1.450 * [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 1.451 * [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 1.451 * [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 1.451 * [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 1.452 * [taylor]: Taking taylor expansion of 0 in phi2 1.452 * [taylor]: Taking taylor expansion of 0 in lambda1 1.452 * [taylor]: Taking taylor expansion of 0 in lambda2 1.452 * [taylor]: Taking taylor expansion of 0 in lambda1 1.452 * [taylor]: Taking taylor expansion of 0 in lambda2 1.452 * [taylor]: Taking taylor expansion of 0 in lambda2 1.452 * [taylor]: Taking taylor expansion of 0 in phi2 1.452 * [taylor]: Taking taylor expansion of 0 in lambda1 1.453 * [taylor]: Taking taylor expansion of 0 in lambda2 1.453 * [taylor]: Taking taylor expansion of 0 in lambda1 1.453 * [taylor]: Taking taylor expansion of 0 in lambda2 1.453 * [approximate]: 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 (phi1 phi2 lambda1 lambda2) around 0 1.454 * [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 1.454 * [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 1.454 * [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 1.455 * [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 phi1 1.455 * [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 phi1 1.456 * [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 1.456 * [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 1.456 * [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 1.458 * [taylor]: Taking taylor expansion of 0 in phi2 1.458 * [taylor]: Taking taylor expansion of 0 in lambda1 1.458 * [taylor]: Taking taylor expansion of 0 in lambda2 1.458 * [taylor]: Taking taylor expansion of 0 in lambda1 1.458 * [taylor]: Taking taylor expansion of 0 in lambda2 1.458 * [taylor]: Taking taylor expansion of 0 in lambda2 1.458 * [taylor]: Taking taylor expansion of 0 in phi2 1.458 * [taylor]: Taking taylor expansion of 0 in lambda1 1.458 * [taylor]: Taking taylor expansion of 0 in lambda2 1.458 * [taylor]: Taking taylor expansion of 0 in lambda1 1.458 * [taylor]: Taking taylor expansion of 0 in lambda2 1.458 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.459 * [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 1.459 * [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 1.459 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.459 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.459 * [taylor]: Taking taylor expansion of PI in lambda2 1.459 * [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 1.459 * [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 1.459 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.459 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.459 * [taylor]: Taking taylor expansion of PI in lambda1 1.459 * [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 1.460 * [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 1.460 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.460 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.460 * [taylor]: Taking taylor expansion of PI in phi2 1.460 * [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 1.460 * [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 1.460 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.460 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.460 * [taylor]: Taking taylor expansion of PI in phi1 1.460 * [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 1.460 * [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 1.460 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.460 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.460 * [taylor]: Taking taylor expansion of PI in phi1 1.460 * [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 1.461 * [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 1.461 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.461 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.461 * [taylor]: Taking taylor expansion of PI in phi2 1.461 * [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 1.462 * [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 1.462 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.462 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.462 * [taylor]: Taking taylor expansion of PI in lambda1 1.462 * [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 1.463 * [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 1.463 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.463 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.463 * [taylor]: Taking taylor expansion of PI in lambda2 1.463 * [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 1.465 * [taylor]: Taking taylor expansion of 0 in phi2 1.465 * [taylor]: Taking taylor expansion of 0 in lambda1 1.465 * [taylor]: Taking taylor expansion of 0 in lambda2 1.465 * [taylor]: Taking taylor expansion of 0 in lambda1 1.465 * [taylor]: Taking taylor expansion of 0 in lambda2 1.465 * [taylor]: Taking taylor expansion of 0 in lambda2 1.465 * [taylor]: Taking taylor expansion of 0 in phi2 1.465 * [taylor]: Taking taylor expansion of 0 in lambda1 1.465 * [taylor]: Taking taylor expansion of 0 in lambda2 1.465 * [taylor]: Taking taylor expansion of 0 in lambda1 1.465 * [taylor]: Taking taylor expansion of 0 in lambda2 1.466 * [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 1.466 * [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 1.466 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.466 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.466 * [taylor]: Taking taylor expansion of PI in lambda2 1.466 * [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 1.466 * [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 1.466 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.466 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.466 * [taylor]: Taking taylor expansion of PI in lambda1 1.466 * [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 1.469 * [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 1.469 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.469 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.469 * [taylor]: Taking taylor expansion of PI in phi2 1.469 * [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 1.470 * [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 1.470 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.470 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.470 * [taylor]: Taking taylor expansion of PI in phi1 1.470 * [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 1.470 * [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 1.470 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.470 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.470 * [taylor]: Taking taylor expansion of PI in phi1 1.470 * [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 1.471 * [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 1.471 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.472 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.472 * [taylor]: Taking taylor expansion of PI in phi2 1.472 * [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 1.473 * [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 1.473 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.473 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.473 * [taylor]: Taking taylor expansion of PI in lambda1 1.473 * [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 1.474 * [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 1.474 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.474 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.474 * [taylor]: Taking taylor expansion of PI in lambda2 1.474 * [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 1.476 * [taylor]: Taking taylor expansion of 0 in phi2 1.476 * [taylor]: Taking taylor expansion of 0 in lambda1 1.476 * [taylor]: Taking taylor expansion of 0 in lambda2 1.476 * [taylor]: Taking taylor expansion of 0 in lambda1 1.476 * [taylor]: Taking taylor expansion of 0 in lambda2 1.476 * [taylor]: Taking taylor expansion of 0 in lambda2 1.476 * [taylor]: Taking taylor expansion of 0 in phi2 1.476 * [taylor]: Taking taylor expansion of 0 in lambda1 1.476 * [taylor]: Taking taylor expansion of 0 in lambda2 1.476 * [taylor]: Taking taylor expansion of 0 in lambda1 1.476 * [taylor]: Taking taylor expansion of 0 in lambda2 1.477 * [approximate]: 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 (phi1 phi2 lambda1 lambda2) around 0 1.478 * [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 1.478 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.478 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.478 * [taylor]: Taking taylor expansion of PI in lambda2 1.478 * [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 1.478 * [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 1.478 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.478 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.478 * [taylor]: Taking taylor expansion of PI in lambda1 1.478 * [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 1.479 * [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 1.479 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.479 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.479 * [taylor]: Taking taylor expansion of PI in phi2 1.479 * [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 1.479 * [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 phi1 1.479 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.479 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.479 * [taylor]: Taking taylor expansion of PI in phi1 1.479 * [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 phi1 1.479 * [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 phi1 1.480 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.480 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.480 * [taylor]: Taking taylor expansion of PI in phi1 1.480 * [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 phi1 1.481 * [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 1.481 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.481 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.481 * [taylor]: Taking taylor expansion of PI in phi2 1.481 * [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 1.482 * [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 1.482 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.482 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.482 * [taylor]: Taking taylor expansion of PI in lambda1 1.482 * [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 1.483 * [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 1.483 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.483 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.483 * [taylor]: Taking taylor expansion of PI in lambda2 1.483 * [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 1.485 * [taylor]: Taking taylor expansion of 0 in phi2 1.485 * [taylor]: Taking taylor expansion of 0 in lambda1 1.485 * [taylor]: Taking taylor expansion of 0 in lambda2 1.485 * [taylor]: Taking taylor expansion of 0 in lambda1 1.485 * [taylor]: Taking taylor expansion of 0 in lambda2 1.485 * [taylor]: Taking taylor expansion of 0 in lambda2 1.486 * [taylor]: Taking taylor expansion of 0 in phi2 1.486 * [taylor]: Taking taylor expansion of 0 in lambda1 1.486 * [taylor]: Taking taylor expansion of 0 in lambda2 1.486 * [taylor]: Taking taylor expansion of 0 in lambda1 1.486 * [taylor]: Taking taylor expansion of 0 in lambda2 1.486 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 1.487 * [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 1.487 * [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 1.487 * [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 1.487 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.487 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.487 * [taylor]: Taking taylor expansion of PI in lambda2 1.487 * [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 1.488 * [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 1.488 * [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 1.488 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.488 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.488 * [taylor]: Taking taylor expansion of PI in lambda1 1.488 * [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 1.489 * [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 1.489 * [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 1.489 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.489 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.489 * [taylor]: Taking taylor expansion of PI in phi2 1.489 * [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 1.491 * [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 1.491 * [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 1.491 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.491 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.491 * [taylor]: Taking taylor expansion of PI in phi1 1.491 * [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 1.492 * [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 1.492 * [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 1.492 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.492 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.492 * [taylor]: Taking taylor expansion of PI in phi1 1.492 * [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 1.493 * [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 1.493 * [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 1.493 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.493 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.493 * [taylor]: Taking taylor expansion of PI in phi2 1.493 * [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 1.494 * [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 1.494 * [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 1.494 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.494 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.495 * [taylor]: Taking taylor expansion of PI in lambda1 1.495 * [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 1.496 * [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 1.496 * [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 1.496 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.496 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.496 * [taylor]: Taking taylor expansion of PI in lambda2 1.496 * [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 1.498 * [taylor]: Taking taylor expansion of 0 in phi2 1.498 * [taylor]: Taking taylor expansion of 0 in lambda1 1.498 * [taylor]: Taking taylor expansion of 0 in lambda2 1.498 * [taylor]: Taking taylor expansion of 0 in lambda1 1.498 * [taylor]: Taking taylor expansion of 0 in lambda2 1.499 * [taylor]: Taking taylor expansion of 0 in lambda2 1.500 * [taylor]: Taking taylor expansion of 0 in phi2 1.500 * [taylor]: Taking taylor expansion of 0 in lambda1 1.500 * [taylor]: Taking taylor expansion of 0 in lambda2 1.500 * [taylor]: Taking taylor expansion of 0 in lambda1 1.500 * [taylor]: Taking taylor expansion of 0 in lambda2 1.501 * [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 1.501 * [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 1.501 * [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 1.501 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.501 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.501 * [taylor]: Taking taylor expansion of PI in lambda2 1.501 * [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 1.502 * [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 1.502 * [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 1.502 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.502 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.502 * [taylor]: Taking taylor expansion of PI in lambda1 1.502 * [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 1.504 * [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 1.504 * [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 1.504 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.504 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.504 * [taylor]: Taking taylor expansion of PI in phi2 1.504 * [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 1.506 * [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 1.506 * [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 1.506 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.506 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.506 * [taylor]: Taking taylor expansion of PI in phi1 1.506 * [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 1.508 * [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 1.508 * [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 1.508 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.508 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.508 * [taylor]: Taking taylor expansion of PI in phi1 1.508 * [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 1.509 * [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 1.509 * [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 1.509 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.509 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.509 * [taylor]: Taking taylor expansion of PI in phi2 1.509 * [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 1.511 * [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 1.511 * [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 1.511 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.511 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.511 * [taylor]: Taking taylor expansion of PI in lambda1 1.511 * [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 1.513 * [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 1.513 * [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 1.513 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.513 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.513 * [taylor]: Taking taylor expansion of PI in lambda2 1.513 * [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 1.516 * [taylor]: Taking taylor expansion of 0 in phi2 1.516 * [taylor]: Taking taylor expansion of 0 in lambda1 1.516 * [taylor]: Taking taylor expansion of 0 in lambda2 1.516 * [taylor]: Taking taylor expansion of 0 in lambda1 1.516 * [taylor]: Taking taylor expansion of 0 in lambda2 1.517 * [taylor]: Taking taylor expansion of 0 in lambda2 1.518 * [taylor]: Taking taylor expansion of 0 in phi2 1.518 * [taylor]: Taking taylor expansion of 0 in lambda1 1.518 * [taylor]: Taking taylor expansion of 0 in lambda2 1.518 * [taylor]: Taking taylor expansion of 0 in lambda1 1.518 * [taylor]: Taking taylor expansion of 0 in lambda2 1.519 * [approximate]: 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 (phi1 phi2 lambda1 lambda2) around 0 1.519 * [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 1.519 * [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 1.519 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.519 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.519 * [taylor]: Taking taylor expansion of PI in lambda2 1.519 * [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 1.521 * [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 1.521 * [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 1.521 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.521 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.521 * [taylor]: Taking taylor expansion of PI in lambda1 1.521 * [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 1.522 * [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 1.523 * [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 1.523 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.523 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.523 * [taylor]: Taking taylor expansion of PI in phi2 1.523 * [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 1.524 * [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 phi1 1.524 * [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 phi1 1.524 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.524 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.524 * [taylor]: Taking taylor expansion of PI in phi1 1.524 * [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 phi1 1.526 * [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 phi1 1.526 * [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 phi1 1.526 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.526 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.526 * [taylor]: Taking taylor expansion of PI in phi1 1.526 * [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 phi1 1.528 * [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 1.528 * [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 1.528 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.528 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.528 * [taylor]: Taking taylor expansion of PI in phi2 1.528 * [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 1.529 * [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 1.529 * [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 1.530 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.530 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.530 * [taylor]: Taking taylor expansion of PI in lambda1 1.530 * [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 1.531 * [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 1.531 * [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 1.531 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.531 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.531 * [taylor]: Taking taylor expansion of PI in lambda2 1.531 * [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 1.534 * [taylor]: Taking taylor expansion of 0 in phi2 1.534 * [taylor]: Taking taylor expansion of 0 in lambda1 1.534 * [taylor]: Taking taylor expansion of 0 in lambda2 1.535 * [taylor]: Taking taylor expansion of 0 in lambda1 1.535 * [taylor]: Taking taylor expansion of 0 in lambda2 1.535 * [taylor]: Taking taylor expansion of 0 in lambda2 1.536 * [taylor]: Taking taylor expansion of 0 in phi2 1.536 * [taylor]: Taking taylor expansion of 0 in lambda1 1.536 * [taylor]: Taking taylor expansion of 0 in lambda2 1.536 * [taylor]: Taking taylor expansion of 0 in lambda1 1.536 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * * * [progress]: simplifying candidates 1.539 * [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) (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)))))))))))) (log (exp (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (exp 1)) (log (exp (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (exp (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (log (exp 1)) (log (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin 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 lambda2))))))))))) (log (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin 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(* (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))))))))) 1.608 * * [simplify]: iteration 0 : 4881 enodes (cost 2375 ) 1.609 * * [simplify]: iteration 1 : 4881 enodes (cost 2375 ) 1.617 * [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 1/2) (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 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (pow (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 3) (sqrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (- (* (pow PI 3) 1/8) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3)) (+ (* PI (/ PI 4)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (* PI 1/2) (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 (/ 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 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (sqrt (* PI 1/2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (- (sqrt (* PI 1/2)) (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)))))))) (/ (sqrt PI) (sqrt 2))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 0 (neg (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* PI 1/2) (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)))))))) (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)))))))) (* PI 1/2) (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))))))) (* PI 1/2) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* 2 (log (cbrt (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))))) (log (cbrt (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (* 1/2 (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* 1/2 (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) 0 (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (sqrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) 1 (+ (sqrt (* PI 1/2)) (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)))))))) (/ (sqrt PI) (sqrt 2))) 1 (log (- (* PI 1/2) (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 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (pow (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 3) (sqrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (pow (exp (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (sqrt (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) E (exp (+ (sqrt (* PI 1/2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (exp (+ (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (/ (sqrt PI) (sqrt 2)))) 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)))))))) (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (cbrt (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))) (cbrt (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (pow (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) 3) (sqrt (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (sqrt (/ (sqrt (exp PI)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (* PI 1/2) (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))))))) (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 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (* PI 1/2) (asin (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (* PI 1/2) (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))))))))) (/ (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))))))))) 1.618 * * * [progress]: adding candidates to table 1.726 * [progress]: [Phase 3 of 3] Extracting. 1.726 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # #) 1.750 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 1.750 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # #) 1.908 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # #) 2.068 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # #) 2.226 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # #) 2.386 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # #) 2.546 * * * [regime]: Found split indices: #