9.798 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.256 * * * [progress]: [2/2] Setting up program.
0.260 * [progress]: [Phase 2 of 3] Improving.
0.260 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
0.262 * * [simplify]: iteration  0 :  26  enodes  (cost  12 )
0.263 * * [simplify]: iteration  1 :  34  enodes  (cost  12 )
0.265 * * [simplify]: iteration  2 :  36  enodes  (cost  12 )
0.266 * * [simplify]: iteration  3 :  36  enodes  (cost  12 )
0.266 * [simplify]: Simplified to:
   (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)
0.267 * * [progress]: iteration 1 / 4
0.267 * * * [progress]: picking best candidate
0.270 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))>
0.270 * * * [progress]: localizing error
0.300 * * * [progress]: generating rewritten candidates
0.300 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
0.303 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
0.305 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
0.306 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
0.310 * * * [progress]: generating series expansions
0.310 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
0.310 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0
0.310 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2
0.310 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2
0.310 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.310 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.311 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.311 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.311 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.311 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.311 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1
0.311 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1
0.311 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.311 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.312 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.312 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.312 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.314 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2
0.314 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2
0.314 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.314 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.318 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2
0.318 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2
0.318 * [taylor]: Taking taylor expansion of 1/2 in lambda2
0.318 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2
0.318 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2
0.318 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.320 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0
0.320 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.320 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.320 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.320 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.320 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.320 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.321 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.321 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.321 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.321 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.321 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.321 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.322 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1
0.322 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1
0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.322 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.322 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.322 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2
0.322 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2
0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.322 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.322 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.322 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.323 * [taylor]: Taking taylor expansion of 0 in lambda2
0.323 * [taylor]: Taking taylor expansion of 0 in lambda2
0.323 * [taylor]: Taking taylor expansion of 0 in lambda2
0.324 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0
0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.324 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1
0.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1
0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.326 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.326 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2
0.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2
0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.327 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.327 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.327 * [taylor]: Taking taylor expansion of 0 in lambda2
0.327 * [taylor]: Taking taylor expansion of 0 in lambda2
0.327 * [taylor]: Taking taylor expansion of 0 in lambda2
0.328 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
0.328 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
0.328 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.328 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.328 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.328 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.330 * [taylor]: Taking taylor expansion of 0 in phi2
0.330 * [taylor]: Taking taylor expansion of 0 in lambda1
0.330 * [taylor]: Taking taylor expansion of 0 in lambda2
0.330 * [taylor]: Taking taylor expansion of 0 in lambda1
0.330 * [taylor]: Taking taylor expansion of 0 in lambda2
0.330 * [taylor]: Taking taylor expansion of 0 in lambda2
0.330 * [taylor]: Taking taylor expansion of 0 in phi2
0.330 * [taylor]: Taking taylor expansion of 0 in lambda1
0.330 * [taylor]: Taking taylor expansion of 0 in lambda2
0.330 * [taylor]: Taking taylor expansion of 0 in lambda1
0.330 * [taylor]: Taking taylor expansion of 0 in lambda2
0.330 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
0.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
0.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
0.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
0.333 * [taylor]: Taking taylor expansion of 0 in phi2
0.333 * [taylor]: Taking taylor expansion of 0 in lambda1
0.333 * [taylor]: Taking taylor expansion of 0 in lambda2
0.333 * [taylor]: Taking taylor expansion of 0 in lambda1
0.333 * [taylor]: Taking taylor expansion of 0 in lambda2
0.333 * [taylor]: Taking taylor expansion of 0 in lambda2
0.333 * [taylor]: Taking taylor expansion of 0 in phi2
0.333 * [taylor]: Taking taylor expansion of 0 in lambda1
0.333 * [taylor]: Taking taylor expansion of 0 in lambda2
0.333 * [taylor]: Taking taylor expansion of 0 in lambda1
0.333 * [taylor]: Taking taylor expansion of 0 in lambda2
0.334 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0
0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
0.334 * [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
0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
0.335 * [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
0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
0.336 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
0.336 * [taylor]: Taking taylor expansion of 0 in phi2
0.336 * [taylor]: Taking taylor expansion of 0 in lambda1
0.336 * [taylor]: Taking taylor expansion of 0 in lambda2
0.336 * [taylor]: Taking taylor expansion of 0 in lambda1
0.336 * [taylor]: Taking taylor expansion of 0 in lambda2
0.336 * [taylor]: Taking taylor expansion of 0 in lambda2
0.336 * [taylor]: Taking taylor expansion of 0 in phi2
0.336 * [taylor]: Taking taylor expansion of 0 in lambda1
0.336 * [taylor]: Taking taylor expansion of 0 in lambda2
0.336 * [taylor]: Taking taylor expansion of 0 in lambda1
0.336 * [taylor]: Taking taylor expansion of 0 in lambda2
0.337 * * * * [progress]: [ 3 / 4 ] generating series at (2)
0.337 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
0.337 * [taylor]: Taking taylor expansion of R in R
0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
0.337 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.337 * [taylor]: Taking taylor expansion of R in lambda2
0.337 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.338 * [taylor]: Taking taylor expansion of R in lambda1
0.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.338 * [taylor]: Taking taylor expansion of R in phi2
0.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.338 * [taylor]: Taking taylor expansion of R in phi1
0.338 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1
0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1
0.338 * [taylor]: Taking taylor expansion of R in phi1
0.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2
0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2
0.339 * [taylor]: Taking taylor expansion of R in phi2
0.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1
0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1
0.339 * [taylor]: Taking taylor expansion of R in lambda1
0.339 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2
0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2
0.340 * [taylor]: Taking taylor expansion of R in lambda2
0.340 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R
0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R
0.340 * [taylor]: Taking taylor expansion of R in R
0.340 * [taylor]: Taking taylor expansion of 0 in phi2
0.340 * [taylor]: Taking taylor expansion of 0 in lambda1
0.340 * [taylor]: Taking taylor expansion of 0 in lambda2
0.340 * [taylor]: Taking taylor expansion of 0 in R
0.341 * [taylor]: Taking taylor expansion of 0 in lambda1
0.341 * [taylor]: Taking taylor expansion of 0 in lambda2
0.341 * [taylor]: Taking taylor expansion of 0 in R
0.341 * [taylor]: Taking taylor expansion of 0 in lambda2
0.341 * [taylor]: Taking taylor expansion of 0 in R
0.341 * [taylor]: Taking taylor expansion of 0 in R
0.342 * [taylor]: Taking taylor expansion of 0 in phi2
0.343 * [taylor]: Taking taylor expansion of 0 in lambda1
0.343 * [taylor]: Taking taylor expansion of 0 in lambda2
0.343 * [taylor]: Taking taylor expansion of 0 in R
0.343 * [taylor]: Taking taylor expansion of 0 in lambda1
0.343 * [taylor]: Taking taylor expansion of 0 in lambda2
0.343 * [taylor]: Taking taylor expansion of 0 in R
0.343 * [taylor]: Taking taylor expansion of 0 in lambda1
0.343 * [taylor]: Taking taylor expansion of 0 in lambda2
0.343 * [taylor]: Taking taylor expansion of 0 in R
0.343 * [taylor]: Taking taylor expansion of 0 in lambda2
0.343 * [taylor]: Taking taylor expansion of 0 in R
0.343 * [taylor]: Taking taylor expansion of 0 in lambda2
0.343 * [taylor]: Taking taylor expansion of 0 in R
0.344 * [taylor]: Taking taylor expansion of 0 in lambda2
0.344 * [taylor]: Taking taylor expansion of 0 in R
0.345 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.345 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
0.345 * [taylor]: Taking taylor expansion of R in R
0.345 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
0.346 * [taylor]: Taking taylor expansion of R in lambda2
0.346 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
0.346 * [taylor]: Taking taylor expansion of R in lambda1
0.346 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
0.347 * [taylor]: Taking taylor expansion of R in phi2
0.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
0.347 * [taylor]: Taking taylor expansion of R in phi1
0.348 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1
0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1
0.348 * [taylor]: Taking taylor expansion of R in phi1
0.348 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2
0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2
0.348 * [taylor]: Taking taylor expansion of R in phi2
0.349 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1
0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1
0.349 * [taylor]: Taking taylor expansion of R in lambda1
0.349 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2
0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2
0.350 * [taylor]: Taking taylor expansion of R in lambda2
0.350 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R
0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R
0.350 * [taylor]: Taking taylor expansion of R in R
0.351 * [taylor]: Taking taylor expansion of 0 in phi2
0.351 * [taylor]: Taking taylor expansion of 0 in lambda1
0.351 * [taylor]: Taking taylor expansion of 0 in lambda2
0.351 * [taylor]: Taking taylor expansion of 0 in R
0.351 * [taylor]: Taking taylor expansion of 0 in lambda1
0.351 * [taylor]: Taking taylor expansion of 0 in lambda2
0.352 * [taylor]: Taking taylor expansion of 0 in R
0.352 * [taylor]: Taking taylor expansion of 0 in lambda2
0.352 * [taylor]: Taking taylor expansion of 0 in R
0.352 * [taylor]: Taking taylor expansion of 0 in R
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 R
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 R
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 R
0.354 * [taylor]: Taking taylor expansion of 0 in lambda2
0.354 * [taylor]: Taking taylor expansion of 0 in R
0.354 * [taylor]: Taking taylor expansion of 0 in lambda2
0.354 * [taylor]: Taking taylor expansion of 0 in R
0.355 * [taylor]: Taking taylor expansion of 0 in lambda2
0.355 * [taylor]: Taking taylor expansion of 0 in R
0.355 * [taylor]: Taking taylor expansion of 0 in R
0.355 * [taylor]: Taking taylor expansion of 0 in R
0.355 * [taylor]: Taking taylor expansion of 0 in R
0.355 * [taylor]: Taking taylor expansion of 0 in R
0.357 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
0.357 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
0.357 * [taylor]: Taking taylor expansion of -1 in R
0.357 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
0.357 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
0.358 * [taylor]: Taking taylor expansion of R in R
0.358 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
0.358 * [taylor]: Taking taylor expansion of -1 in lambda2
0.358 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
0.358 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
0.358 * [taylor]: Taking taylor expansion of R in lambda2
0.359 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
0.359 * [taylor]: Taking taylor expansion of -1 in lambda1
0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
0.359 * [taylor]: Taking taylor expansion of R in lambda1
0.359 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
0.359 * [taylor]: Taking taylor expansion of -1 in phi2
0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2
0.359 * [taylor]: Taking taylor expansion of R in phi2
0.360 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
0.360 * [taylor]: Taking taylor expansion of -1 in phi1
0.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
0.360 * [taylor]: Taking taylor expansion of R in phi1
0.360 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1
0.360 * [taylor]: Taking taylor expansion of -1 in phi1
0.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1
0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1
0.361 * [taylor]: Taking taylor expansion of R in phi1
0.361 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2
0.361 * [taylor]: Taking taylor expansion of -1 in phi2
0.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2
0.361 * [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
0.362 * [taylor]: Taking taylor expansion of R in phi2
0.362 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1
0.362 * [taylor]: Taking taylor expansion of -1 in lambda1
0.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1
0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1
0.362 * [taylor]: Taking taylor expansion of R in lambda1
0.363 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2
0.363 * [taylor]: Taking taylor expansion of -1 in lambda2
0.363 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2
0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2
0.363 * [taylor]: Taking taylor expansion of R in lambda2
0.364 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R
0.364 * [taylor]: Taking taylor expansion of -1 in R
0.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R
0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R
0.364 * [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
0.367 * [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 lambda2
0.368 * [taylor]: Taking taylor expansion of 0 in R
0.369 * [taylor]: Taking taylor expansion of 0 in R
0.372 * [taylor]: Taking taylor expansion of 0 in phi2
0.372 * [taylor]: Taking taylor expansion of 0 in lambda1
0.372 * [taylor]: Taking taylor expansion of 0 in lambda2
0.372 * [taylor]: Taking taylor expansion of 0 in R
0.372 * [taylor]: Taking taylor expansion of 0 in lambda1
0.372 * [taylor]: Taking taylor expansion of 0 in lambda2
0.372 * [taylor]: Taking taylor expansion of 0 in R
0.373 * [taylor]: Taking taylor expansion of 0 in lambda1
0.373 * [taylor]: Taking taylor expansion of 0 in lambda2
0.373 * [taylor]: Taking taylor expansion of 0 in R
0.373 * [taylor]: Taking taylor expansion of 0 in lambda2
0.373 * [taylor]: Taking taylor expansion of 0 in R
0.373 * [taylor]: Taking taylor expansion of 0 in lambda2
0.373 * [taylor]: Taking taylor expansion of 0 in R
0.379 * [taylor]: Taking taylor expansion of 0 in lambda2
0.379 * [taylor]: Taking taylor expansion of 0 in R
0.379 * [taylor]: Taking taylor expansion of 0 in R
0.379 * [taylor]: Taking taylor expansion of 0 in R
0.379 * [taylor]: Taking taylor expansion of 0 in R
0.380 * [taylor]: Taking taylor expansion of 0 in R
0.383 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
0.383 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
0.383 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
0.383 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
0.383 * [taylor]: Taking taylor expansion of phi1 in phi2
0.383 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.383 * [taylor]: Taking taylor expansion of phi2 in phi2
0.383 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
0.383 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
0.383 * [taylor]: Taking taylor expansion of phi1 in phi1
0.383 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
0.383 * [taylor]: Taking taylor expansion of phi2 in phi1
0.383 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
0.383 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
0.383 * [taylor]: Taking taylor expansion of phi1 in phi1
0.383 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
0.383 * [taylor]: Taking taylor expansion of phi2 in phi1
0.384 * [taylor]: Taking taylor expansion of 0 in phi2
0.386 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.386 * [taylor]: Taking taylor expansion of phi2 in phi2
0.389 * [taylor]: Taking taylor expansion of 0 in phi2
0.393 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
0.393 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
0.393 * [taylor]: Taking taylor expansion of 1/6 in phi2
0.393 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.393 * [taylor]: Taking taylor expansion of phi2 in phi2
0.399 * [taylor]: Taking taylor expansion of 0 in phi2
0.399 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
0.399 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
0.399 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
0.399 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
0.399 * [taylor]: Taking taylor expansion of phi1 in phi2
0.399 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
0.399 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
0.399 * [taylor]: Taking taylor expansion of phi2 in phi2
0.400 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
0.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
0.400 * [taylor]: Taking taylor expansion of phi1 in phi1
0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
0.400 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
0.400 * [taylor]: Taking taylor expansion of phi2 in phi1
0.400 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
0.400 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
0.400 * [taylor]: Taking taylor expansion of phi1 in phi1
0.400 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
0.401 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
0.401 * [taylor]: Taking taylor expansion of phi2 in phi1
0.401 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
0.401 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
0.401 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
0.401 * [taylor]: Taking taylor expansion of phi1 in phi2
0.401 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
0.401 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
0.401 * [taylor]: Taking taylor expansion of phi2 in phi2
0.403 * [taylor]: Taking taylor expansion of 0 in phi2
0.407 * [taylor]: Taking taylor expansion of 0 in phi2
0.413 * [taylor]: Taking taylor expansion of 0 in phi2
0.413 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
0.413 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
0.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
0.413 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
0.413 * [taylor]: Taking taylor expansion of -1 in phi2
0.413 * [taylor]: Taking taylor expansion of phi1 in phi2
0.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
0.413 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
0.413 * [taylor]: Taking taylor expansion of -1 in phi2
0.413 * [taylor]: Taking taylor expansion of phi2 in phi2
0.413 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
0.413 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
0.413 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
0.413 * [taylor]: Taking taylor expansion of -1 in phi1
0.413 * [taylor]: Taking taylor expansion of phi1 in phi1
0.414 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
0.414 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
0.414 * [taylor]: Taking taylor expansion of -1 in phi1
0.414 * [taylor]: Taking taylor expansion of phi2 in phi1
0.414 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
0.414 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
0.414 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
0.414 * [taylor]: Taking taylor expansion of -1 in phi1
0.414 * [taylor]: Taking taylor expansion of phi1 in phi1
0.414 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
0.414 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
0.414 * [taylor]: Taking taylor expansion of -1 in phi1
0.414 * [taylor]: Taking taylor expansion of phi2 in phi1
0.415 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
0.415 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
0.415 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
0.415 * [taylor]: Taking taylor expansion of -1 in phi2
0.415 * [taylor]: Taking taylor expansion of phi1 in phi2
0.415 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
0.415 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
0.415 * [taylor]: Taking taylor expansion of -1 in phi2
0.415 * [taylor]: Taking taylor expansion of phi2 in phi2
0.417 * [taylor]: Taking taylor expansion of 0 in phi2
0.421 * [taylor]: Taking taylor expansion of 0 in phi2
0.426 * [taylor]: Taking taylor expansion of 0 in phi2
0.427 * * * [progress]: simplifying candidates
0.427 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* (cos lambda1) (cos (- lambda2)))
  (* (sin lambda1) (sin (- lambda2)))
  (* (cos lambda1) (cos (- lambda2)))
  (* (sin lambda1) (sin (- lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin lambda2))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
  (cos (- lambda1 lambda2))
  (cos (- lambda1 lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
0.430 * * [simplify]: iteration  0 :  84  enodes  (cost  122 )
0.431 * * [simplify]: iteration  1 :  121  enodes  (cost  122 )
0.433 * * [simplify]: iteration  2 :  230  enodes  (cost  122 )
0.437 * * [simplify]: iteration  3 :  603  enodes  (cost  122 )
0.457 * * [simplify]: iteration  4 :  4246  enodes  (cost  122 )
0.688 * * [simplify]: iteration  5 :  5001  enodes  (cost  122 )
0.689 * [simplify]: Simplified to:
   (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin (- lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin (- lambda2)))
  (* (cos lambda1) (cos lambda2))
  (* (sin lambda1) (sin lambda2))
  (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2)))
  (cos (- lambda1 lambda2))
  (cos (- lambda1 lambda2))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R)
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
0.689 * * * [progress]: adding candidates to table
0.734 * * [progress]: iteration 2 / 4
0.734 * * * [progress]: picking best candidate
0.743 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))>
0.743 * * * [progress]: localizing error
0.773 * * * [progress]: generating rewritten candidates
0.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
0.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
0.777 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2)
0.780 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1)
0.783 * * * [progress]: generating series expansions
0.783 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
0.784 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
0.784 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
0.784 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
0.785 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
0.785 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
0.785 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
0.786 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
0.786 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
0.786 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
0.787 * [taylor]: Taking taylor expansion of 0 in phi2
0.787 * [taylor]: Taking taylor expansion of 0 in lambda1
0.787 * [taylor]: Taking taylor expansion of 0 in lambda2
0.787 * [taylor]: Taking taylor expansion of 0 in lambda1
0.787 * [taylor]: Taking taylor expansion of 0 in lambda2
0.787 * [taylor]: Taking taylor expansion of 0 in lambda2
0.787 * [taylor]: Taking taylor expansion of 0 in phi2
0.787 * [taylor]: Taking taylor expansion of 0 in lambda1
0.787 * [taylor]: Taking taylor expansion of 0 in lambda2
0.787 * [taylor]: Taking taylor expansion of 0 in lambda1
0.787 * [taylor]: Taking taylor expansion of 0 in lambda2
0.788 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
0.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
0.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
0.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
0.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
0.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
0.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
0.794 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
0.794 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
0.795 * [taylor]: Taking taylor expansion of 0 in phi2
0.795 * [taylor]: Taking taylor expansion of 0 in lambda1
0.795 * [taylor]: Taking taylor expansion of 0 in lambda2
0.795 * [taylor]: Taking taylor expansion of 0 in lambda1
0.795 * [taylor]: Taking taylor expansion of 0 in lambda2
0.795 * [taylor]: Taking taylor expansion of 0 in lambda2
0.795 * [taylor]: Taking taylor expansion of 0 in phi2
0.795 * [taylor]: Taking taylor expansion of 0 in lambda1
0.795 * [taylor]: Taking taylor expansion of 0 in lambda2
0.795 * [taylor]: Taking taylor expansion of 0 in lambda1
0.796 * [taylor]: Taking taylor expansion of 0 in lambda2
0.797 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
0.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
0.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
0.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
0.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
0.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
0.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
0.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
0.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
0.801 * [taylor]: Taking taylor expansion of 0 in phi2
0.801 * [taylor]: Taking taylor expansion of 0 in lambda1
0.801 * [taylor]: Taking taylor expansion of 0 in lambda2
0.801 * [taylor]: Taking taylor expansion of 0 in lambda1
0.801 * [taylor]: Taking taylor expansion of 0 in lambda2
0.801 * [taylor]: Taking taylor expansion of 0 in lambda2
0.801 * [taylor]: Taking taylor expansion of 0 in phi2
0.801 * [taylor]: Taking taylor expansion of 0 in lambda1
0.801 * [taylor]: Taking taylor expansion of 0 in lambda2
0.801 * [taylor]: Taking taylor expansion of 0 in lambda1
0.801 * [taylor]: Taking taylor expansion of 0 in lambda2
0.802 * * * * [progress]: [ 2 / 4 ] generating series at (2)
0.802 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.802 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
0.802 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
0.803 * [taylor]: Taking taylor expansion of R in R
0.803 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
0.803 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
0.803 * [taylor]: Taking taylor expansion of R in lambda2
0.803 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
0.803 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
0.804 * [taylor]: Taking taylor expansion of R in lambda1
0.804 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
0.804 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
0.804 * [taylor]: Taking taylor expansion of R in phi2
0.804 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
0.804 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
0.804 * [taylor]: Taking taylor expansion of R in phi1
0.804 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
0.804 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
0.805 * [taylor]: Taking taylor expansion of R in phi1
0.805 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
0.805 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
0.806 * [taylor]: Taking taylor expansion of R in phi2
0.806 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
0.806 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
0.806 * [taylor]: Taking taylor expansion of R in lambda1
0.807 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
0.807 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
0.807 * [taylor]: Taking taylor expansion of R in lambda2
0.807 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
0.807 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
0.808 * [taylor]: Taking taylor expansion of R in R
0.809 * [taylor]: Taking taylor expansion of 0 in phi2
0.809 * [taylor]: Taking taylor expansion of 0 in lambda1
0.809 * [taylor]: Taking taylor expansion of 0 in lambda2
0.809 * [taylor]: Taking taylor expansion of 0 in R
0.809 * [taylor]: Taking taylor expansion of 0 in lambda1
0.809 * [taylor]: Taking taylor expansion of 0 in lambda2
0.809 * [taylor]: Taking taylor expansion of 0 in R
0.809 * [taylor]: Taking taylor expansion of 0 in lambda2
0.809 * [taylor]: Taking taylor expansion of 0 in R
0.810 * [taylor]: Taking taylor expansion of 0 in R
0.812 * [taylor]: Taking taylor expansion of 0 in phi2
0.812 * [taylor]: Taking taylor expansion of 0 in lambda1
0.812 * [taylor]: Taking taylor expansion of 0 in lambda2
0.812 * [taylor]: Taking taylor expansion of 0 in R
0.812 * [taylor]: Taking taylor expansion of 0 in lambda1
0.812 * [taylor]: Taking taylor expansion of 0 in lambda2
0.812 * [taylor]: Taking taylor expansion of 0 in R
0.813 * [taylor]: Taking taylor expansion of 0 in lambda1
0.813 * [taylor]: Taking taylor expansion of 0 in lambda2
0.813 * [taylor]: Taking taylor expansion of 0 in R
0.813 * [taylor]: Taking taylor expansion of 0 in lambda2
0.813 * [taylor]: Taking taylor expansion of 0 in R
0.813 * [taylor]: Taking taylor expansion of 0 in lambda2
0.813 * [taylor]: Taking taylor expansion of 0 in R
0.814 * [taylor]: Taking taylor expansion of 0 in lambda2
0.814 * [taylor]: Taking taylor expansion of 0 in R
0.815 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
0.815 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
0.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
0.815 * [taylor]: Taking taylor expansion of R in R
0.816 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
0.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
0.816 * [taylor]: Taking taylor expansion of R in lambda2
0.817 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
0.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
0.817 * [taylor]: Taking taylor expansion of R in lambda1
0.818 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
0.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
0.818 * [taylor]: Taking taylor expansion of R in phi2
0.819 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
0.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
0.819 * [taylor]: Taking taylor expansion of R in phi1
0.820 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
0.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
0.820 * [taylor]: Taking taylor expansion of R in phi1
0.821 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
0.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
0.821 * [taylor]: Taking taylor expansion of R in phi2
0.822 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
0.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
0.822 * [taylor]: Taking taylor expansion of R in lambda1
0.823 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
0.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
0.823 * [taylor]: Taking taylor expansion of R in lambda2
0.824 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
0.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
0.824 * [taylor]: Taking taylor expansion of R in R
0.826 * [taylor]: Taking taylor expansion of 0 in phi2
0.826 * [taylor]: Taking taylor expansion of 0 in lambda1
0.826 * [taylor]: Taking taylor expansion of 0 in lambda2
0.826 * [taylor]: Taking taylor expansion of 0 in R
0.827 * [taylor]: Taking taylor expansion of 0 in lambda1
0.827 * [taylor]: Taking taylor expansion of 0 in lambda2
0.827 * [taylor]: Taking taylor expansion of 0 in R
0.827 * [taylor]: Taking taylor expansion of 0 in lambda2
0.827 * [taylor]: Taking taylor expansion of 0 in R
0.828 * [taylor]: Taking taylor expansion of 0 in R
0.830 * [taylor]: Taking taylor expansion of 0 in phi2
0.830 * [taylor]: Taking taylor expansion of 0 in lambda1
0.830 * [taylor]: Taking taylor expansion of 0 in lambda2
0.830 * [taylor]: Taking taylor expansion of 0 in R
0.830 * [taylor]: Taking taylor expansion of 0 in lambda1
0.830 * [taylor]: Taking taylor expansion of 0 in lambda2
0.830 * [taylor]: Taking taylor expansion of 0 in R
0.830 * [taylor]: Taking taylor expansion of 0 in lambda1
0.831 * [taylor]: Taking taylor expansion of 0 in lambda2
0.831 * [taylor]: Taking taylor expansion of 0 in R
0.831 * [taylor]: Taking taylor expansion of 0 in lambda2
0.831 * [taylor]: Taking taylor expansion of 0 in R
0.831 * [taylor]: Taking taylor expansion of 0 in lambda2
0.831 * [taylor]: Taking taylor expansion of 0 in R
0.831 * [taylor]: Taking taylor expansion of 0 in lambda2
0.831 * [taylor]: Taking taylor expansion of 0 in R
0.831 * [taylor]: Taking taylor expansion of 0 in R
0.831 * [taylor]: Taking taylor expansion of 0 in R
0.831 * [taylor]: Taking taylor expansion of 0 in R
0.832 * [taylor]: Taking taylor expansion of 0 in R
0.835 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
0.835 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
0.835 * [taylor]: Taking taylor expansion of -1 in R
0.835 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
0.835 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
0.836 * [taylor]: Taking taylor expansion of R in R
0.837 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
0.837 * [taylor]: Taking taylor expansion of -1 in lambda2
0.837 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
0.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
0.837 * [taylor]: Taking taylor expansion of R in lambda2
0.838 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
0.838 * [taylor]: Taking taylor expansion of -1 in lambda1
0.838 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
0.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
0.838 * [taylor]: Taking taylor expansion of R in lambda1
0.839 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
0.839 * [taylor]: Taking taylor expansion of -1 in phi2
0.839 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
0.839 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
0.839 * [taylor]: Taking taylor expansion of R in phi2
0.840 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
0.840 * [taylor]: Taking taylor expansion of -1 in phi1
0.840 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
0.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
0.840 * [taylor]: Taking taylor expansion of R in phi1
0.841 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
0.841 * [taylor]: Taking taylor expansion of -1 in phi1
0.841 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
0.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
0.841 * [taylor]: Taking taylor expansion of R in phi1
0.843 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
0.843 * [taylor]: Taking taylor expansion of -1 in phi2
0.843 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
0.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
0.843 * [taylor]: Taking taylor expansion of R in phi2
0.844 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
0.844 * [taylor]: Taking taylor expansion of -1 in lambda1
0.844 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
0.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
0.845 * [taylor]: Taking taylor expansion of R in lambda1
0.846 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
0.846 * [taylor]: Taking taylor expansion of -1 in lambda2
0.846 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
0.846 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
0.846 * [taylor]: Taking taylor expansion of R in lambda2
0.847 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
0.847 * [taylor]: Taking taylor expansion of -1 in R
0.847 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
0.847 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
0.848 * [taylor]: Taking taylor expansion of R in R
0.851 * [taylor]: Taking taylor expansion of 0 in phi2
0.851 * [taylor]: Taking taylor expansion of 0 in lambda1
0.851 * [taylor]: Taking taylor expansion of 0 in lambda2
0.851 * [taylor]: Taking taylor expansion of 0 in R
0.852 * [taylor]: Taking taylor expansion of 0 in lambda1
0.852 * [taylor]: Taking taylor expansion of 0 in lambda2
0.852 * [taylor]: Taking taylor expansion of 0 in R
0.854 * [taylor]: Taking taylor expansion of 0 in lambda2
0.854 * [taylor]: Taking taylor expansion of 0 in R
0.855 * [taylor]: Taking taylor expansion of 0 in R
0.859 * [taylor]: Taking taylor expansion of 0 in phi2
0.859 * [taylor]: Taking taylor expansion of 0 in lambda1
0.859 * [taylor]: Taking taylor expansion of 0 in lambda2
0.859 * [taylor]: Taking taylor expansion of 0 in R
0.859 * [taylor]: Taking taylor expansion of 0 in lambda1
0.859 * [taylor]: Taking taylor expansion of 0 in lambda2
0.859 * [taylor]: Taking taylor expansion of 0 in R
0.861 * [taylor]: Taking taylor expansion of 0 in lambda1
0.861 * [taylor]: Taking taylor expansion of 0 in lambda2
0.861 * [taylor]: Taking taylor expansion of 0 in R
0.861 * [taylor]: Taking taylor expansion of 0 in lambda2
0.861 * [taylor]: Taking taylor expansion of 0 in R
0.861 * [taylor]: Taking taylor expansion of 0 in lambda2
0.861 * [taylor]: Taking taylor expansion of 0 in R
0.862 * [taylor]: Taking taylor expansion of 0 in lambda2
0.862 * [taylor]: Taking taylor expansion of 0 in R
0.863 * [taylor]: Taking taylor expansion of 0 in R
0.863 * [taylor]: Taking taylor expansion of 0 in R
0.863 * [taylor]: Taking taylor expansion of 0 in R
0.864 * [taylor]: Taking taylor expansion of 0 in R
0.870 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2)
0.870 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
0.870 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
0.870 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
0.870 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.871 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
0.871 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.871 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
0.871 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
0.871 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.871 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
0.871 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.871 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
0.871 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
0.871 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.871 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
0.871 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.871 * [taylor]: Taking taylor expansion of 0 in lambda2
0.877 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
0.877 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.882 * [taylor]: Taking taylor expansion of 0 in lambda2
0.889 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
0.889 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
0.889 * [taylor]: Taking taylor expansion of 1/6 in lambda2
0.889 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
0.889 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.898 * [taylor]: Taking taylor expansion of 0 in lambda2
0.898 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0
0.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
0.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.899 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.899 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
0.899 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
0.899 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.899 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.900 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
0.900 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.900 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.900 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
0.900 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
0.900 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
0.900 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.901 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
0.901 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
0.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.901 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
0.901 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
0.901 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
0.901 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.901 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
0.901 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
0.901 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.905 * [taylor]: Taking taylor expansion of 0 in lambda2
0.911 * [taylor]: Taking taylor expansion of 0 in lambda2
0.920 * [taylor]: Taking taylor expansion of 0 in lambda2
0.920 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
0.920 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
0.920 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
0.920 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
0.920 * [taylor]: Taking taylor expansion of -1 in lambda2
0.920 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.920 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
0.920 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
0.920 * [taylor]: Taking taylor expansion of -1 in lambda2
0.920 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.921 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
0.921 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
0.921 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
0.921 * [taylor]: Taking taylor expansion of -1 in lambda1
0.921 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.921 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
0.921 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
0.921 * [taylor]: Taking taylor expansion of -1 in lambda1
0.921 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.922 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
0.922 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
0.922 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
0.922 * [taylor]: Taking taylor expansion of -1 in lambda1
0.922 * [taylor]: Taking taylor expansion of lambda1 in lambda1
0.922 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
0.922 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
0.922 * [taylor]: Taking taylor expansion of -1 in lambda1
0.922 * [taylor]: Taking taylor expansion of lambda2 in lambda1
0.923 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
0.923 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
0.923 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
0.923 * [taylor]: Taking taylor expansion of -1 in lambda2
0.923 * [taylor]: Taking taylor expansion of lambda1 in lambda2
0.923 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
0.923 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
0.923 * [taylor]: Taking taylor expansion of -1 in lambda2
0.923 * [taylor]: Taking taylor expansion of lambda2 in lambda2
0.927 * [taylor]: Taking taylor expansion of 0 in lambda2
0.933 * [taylor]: Taking taylor expansion of 0 in lambda2
0.942 * [taylor]: Taking taylor expansion of 0 in lambda2
0.942 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1)
0.942 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0
0.942 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2
0.942 * [taylor]: Taking taylor expansion of (sin phi1) in phi2
0.942 * [taylor]: Taking taylor expansion of phi1 in phi2
0.942 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.942 * [taylor]: Taking taylor expansion of phi2 in phi2
0.942 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
0.942 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
0.942 * [taylor]: Taking taylor expansion of phi1 in phi1
0.942 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
0.942 * [taylor]: Taking taylor expansion of phi2 in phi1
0.942 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1
0.942 * [taylor]: Taking taylor expansion of (sin phi1) in phi1
0.943 * [taylor]: Taking taylor expansion of phi1 in phi1
0.943 * [taylor]: Taking taylor expansion of (sin phi2) in phi1
0.943 * [taylor]: Taking taylor expansion of phi2 in phi1
0.943 * [taylor]: Taking taylor expansion of 0 in phi2
0.945 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.945 * [taylor]: Taking taylor expansion of phi2 in phi2
0.948 * [taylor]: Taking taylor expansion of 0 in phi2
0.952 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2
0.952 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2
0.952 * [taylor]: Taking taylor expansion of 1/6 in phi2
0.952 * [taylor]: Taking taylor expansion of (sin phi2) in phi2
0.952 * [taylor]: Taking taylor expansion of phi2 in phi2
0.958 * [taylor]: Taking taylor expansion of 0 in phi2
0.958 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0
0.958 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
0.958 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
0.958 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
0.958 * [taylor]: Taking taylor expansion of phi1 in phi2
0.958 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
0.958 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
0.958 * [taylor]: Taking taylor expansion of phi2 in phi2
0.959 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
0.959 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
0.959 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
0.959 * [taylor]: Taking taylor expansion of phi1 in phi1
0.959 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
0.959 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
0.959 * [taylor]: Taking taylor expansion of phi2 in phi1
0.959 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1
0.959 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1
0.959 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1
0.959 * [taylor]: Taking taylor expansion of phi1 in phi1
0.960 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1
0.960 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1
0.960 * [taylor]: Taking taylor expansion of phi2 in phi1
0.960 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2
0.960 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2
0.960 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2
0.960 * [taylor]: Taking taylor expansion of phi1 in phi2
0.960 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2
0.960 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2
0.960 * [taylor]: Taking taylor expansion of phi2 in phi2
0.962 * [taylor]: Taking taylor expansion of 0 in phi2
0.966 * [taylor]: Taking taylor expansion of 0 in phi2
0.971 * [taylor]: Taking taylor expansion of 0 in phi2
0.972 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0
0.972 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
0.972 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
0.972 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
0.972 * [taylor]: Taking taylor expansion of -1 in phi2
0.972 * [taylor]: Taking taylor expansion of phi1 in phi2
0.972 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
0.972 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
0.972 * [taylor]: Taking taylor expansion of -1 in phi2
0.972 * [taylor]: Taking taylor expansion of phi2 in phi2
0.972 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
0.972 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
0.972 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
0.972 * [taylor]: Taking taylor expansion of -1 in phi1
0.972 * [taylor]: Taking taylor expansion of phi1 in phi1
0.973 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
0.973 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
0.973 * [taylor]: Taking taylor expansion of -1 in phi1
0.973 * [taylor]: Taking taylor expansion of phi2 in phi1
0.973 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1
0.973 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1
0.973 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1
0.973 * [taylor]: Taking taylor expansion of -1 in phi1
0.973 * [taylor]: Taking taylor expansion of phi1 in phi1
0.973 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1
0.973 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1
0.973 * [taylor]: Taking taylor expansion of -1 in phi1
0.973 * [taylor]: Taking taylor expansion of phi2 in phi1
0.973 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2
0.973 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2
0.973 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2
0.973 * [taylor]: Taking taylor expansion of -1 in phi2
0.973 * [taylor]: Taking taylor expansion of phi1 in phi2
0.974 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2
0.974 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2
0.974 * [taylor]: Taking taylor expansion of -1 in phi2
0.974 * [taylor]: Taking taylor expansion of phi2 in phi2
0.976 * [taylor]: Taking taylor expansion of 0 in phi2
0.980 * [taylor]: Taking taylor expansion of 0 in phi2
0.989 * [taylor]: Taking taylor expansion of 0 in phi2
0.989 * * * [progress]: simplifying candidates
0.989 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
0.992 * * [simplify]: iteration  0 :  97  enodes  (cost  164 )
0.994 * * [simplify]: iteration  1 :  188  enodes  (cost  164 )
0.998 * * [simplify]: iteration  2 :  300  enodes  (cost  164 )
1.001 * * [simplify]: iteration  3 :  306  enodes  (cost  164 )
1.005 * * [simplify]: iteration  4 :  306  enodes  (cost  164 )
1.005 * [simplify]: Simplified to:
   (/ PI 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
  (* phi2 phi1)
  (* (sin phi1) (sin phi2))
  (* (sin phi1) (sin phi2))
1.006 * * * [progress]: adding candidates to table
1.057 * * [progress]: iteration 3 / 4
1.057 * * * [progress]: picking best candidate
1.062 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))>
1.062 * * * [progress]: localizing error
1.095 * * * [progress]: generating rewritten candidates
1.095 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
1.098 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
1.100 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
1.104 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2 2 2)
1.108 * * * [progress]: generating series expansions
1.108 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
1.109 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.109 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
1.109 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.109 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.109 * [taylor]: Taking taylor expansion of PI in lambda2
1.109 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.109 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
1.109 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.109 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.109 * [taylor]: Taking taylor expansion of PI in lambda1
1.109 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
1.110 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.110 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.110 * [taylor]: Taking taylor expansion of PI in phi2
1.110 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
1.110 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.110 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.110 * [taylor]: Taking taylor expansion of PI in phi1
1.110 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.110 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
1.110 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.110 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.110 * [taylor]: Taking taylor expansion of PI in phi1
1.111 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.112 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
1.112 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.112 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.112 * [taylor]: Taking taylor expansion of PI in phi2
1.112 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.114 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
1.114 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.114 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.114 * [taylor]: Taking taylor expansion of PI in lambda1
1.114 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.116 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
1.116 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.116 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.116 * [taylor]: Taking taylor expansion of PI in lambda2
1.116 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.119 * [taylor]: Taking taylor expansion of 0 in phi2
1.119 * [taylor]: Taking taylor expansion of 0 in lambda1
1.119 * [taylor]: Taking taylor expansion of 0 in lambda2
1.120 * [taylor]: Taking taylor expansion of 0 in lambda1
1.120 * [taylor]: Taking taylor expansion of 0 in lambda2
1.121 * [taylor]: Taking taylor expansion of 0 in lambda2
1.123 * [taylor]: Taking taylor expansion of 0 in phi2
1.123 * [taylor]: Taking taylor expansion of 0 in lambda1
1.123 * [taylor]: Taking taylor expansion of 0 in lambda2
1.123 * [taylor]: Taking taylor expansion of 0 in lambda1
1.123 * [taylor]: Taking taylor expansion of 0 in lambda2
1.125 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.125 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
1.125 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.125 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.125 * [taylor]: Taking taylor expansion of PI in lambda2
1.125 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.125 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
1.125 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.125 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.125 * [taylor]: Taking taylor expansion of PI in lambda1
1.125 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.126 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
1.126 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.126 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.126 * [taylor]: Taking taylor expansion of PI in phi2
1.126 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.126 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
1.126 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.126 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.126 * [taylor]: Taking taylor expansion of PI in phi1
1.126 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.127 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
1.127 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.127 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.127 * [taylor]: Taking taylor expansion of PI in phi1
1.127 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.129 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
1.129 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.129 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.129 * [taylor]: Taking taylor expansion of PI in phi2
1.129 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.131 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
1.131 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.131 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.131 * [taylor]: Taking taylor expansion of PI in lambda1
1.131 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.133 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
1.133 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.133 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.133 * [taylor]: Taking taylor expansion of PI in lambda2
1.133 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.137 * [taylor]: Taking taylor expansion of 0 in phi2
1.137 * [taylor]: Taking taylor expansion of 0 in lambda1
1.137 * [taylor]: Taking taylor expansion of 0 in lambda2
1.138 * [taylor]: Taking taylor expansion of 0 in lambda1
1.138 * [taylor]: Taking taylor expansion of 0 in lambda2
1.139 * [taylor]: Taking taylor expansion of 0 in lambda2
1.141 * [taylor]: Taking taylor expansion of 0 in phi2
1.141 * [taylor]: Taking taylor expansion of 0 in lambda1
1.141 * [taylor]: Taking taylor expansion of 0 in lambda2
1.141 * [taylor]: Taking taylor expansion of 0 in lambda1
1.141 * [taylor]: Taking taylor expansion of 0 in lambda2
1.143 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.143 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
1.143 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.143 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.143 * [taylor]: Taking taylor expansion of PI in lambda2
1.143 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.143 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
1.143 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.144 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.144 * [taylor]: Taking taylor expansion of PI in lambda1
1.144 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.144 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
1.144 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.144 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.144 * [taylor]: Taking taylor expansion of PI in phi2
1.144 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.145 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
1.145 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.145 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.145 * [taylor]: Taking taylor expansion of PI in phi1
1.145 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.148 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
1.148 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.148 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.148 * [taylor]: Taking taylor expansion of PI in phi1
1.148 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.150 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
1.150 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.150 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.150 * [taylor]: Taking taylor expansion of PI in phi2
1.150 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.152 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
1.153 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.153 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.153 * [taylor]: Taking taylor expansion of PI in lambda1
1.153 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.155 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
1.155 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.155 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.155 * [taylor]: Taking taylor expansion of PI in lambda2
1.155 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.158 * [taylor]: Taking taylor expansion of 0 in phi2
1.159 * [taylor]: Taking taylor expansion of 0 in lambda1
1.159 * [taylor]: Taking taylor expansion of 0 in lambda2
1.159 * [taylor]: Taking taylor expansion of 0 in lambda1
1.159 * [taylor]: Taking taylor expansion of 0 in lambda2
1.160 * [taylor]: Taking taylor expansion of 0 in lambda2
1.162 * [taylor]: Taking taylor expansion of 0 in phi2
1.162 * [taylor]: Taking taylor expansion of 0 in lambda1
1.162 * [taylor]: Taking taylor expansion of 0 in lambda2
1.162 * [taylor]: Taking taylor expansion of 0 in lambda1
1.162 * [taylor]: Taking taylor expansion of 0 in lambda2
1.163 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
1.164 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.164 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.164 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.164 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.165 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.165 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.166 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.166 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.166 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.167 * [taylor]: Taking taylor expansion of 0 in phi2
1.167 * [taylor]: Taking taylor expansion of 0 in lambda1
1.167 * [taylor]: Taking taylor expansion of 0 in lambda2
1.167 * [taylor]: Taking taylor expansion of 0 in lambda1
1.167 * [taylor]: Taking taylor expansion of 0 in lambda2
1.167 * [taylor]: Taking taylor expansion of 0 in lambda2
1.167 * [taylor]: Taking taylor expansion of 0 in phi2
1.167 * [taylor]: Taking taylor expansion of 0 in lambda1
1.167 * [taylor]: Taking taylor expansion of 0 in lambda2
1.167 * [taylor]: Taking taylor expansion of 0 in lambda1
1.167 * [taylor]: Taking taylor expansion of 0 in lambda2
1.168 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.168 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.168 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.169 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.169 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.170 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.170 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.171 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.171 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.172 * [taylor]: Taking taylor expansion of 0 in phi2
1.172 * [taylor]: Taking taylor expansion of 0 in lambda1
1.172 * [taylor]: Taking taylor expansion of 0 in lambda2
1.172 * [taylor]: Taking taylor expansion of 0 in lambda1
1.172 * [taylor]: Taking taylor expansion of 0 in lambda2
1.173 * [taylor]: Taking taylor expansion of 0 in lambda2
1.173 * [taylor]: Taking taylor expansion of 0 in phi2
1.173 * [taylor]: Taking taylor expansion of 0 in lambda1
1.173 * [taylor]: Taking taylor expansion of 0 in lambda2
1.173 * [taylor]: Taking taylor expansion of 0 in lambda1
1.173 * [taylor]: Taking taylor expansion of 0 in lambda2
1.174 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
1.174 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.174 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.175 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.175 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.176 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.176 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.177 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.177 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.178 * [taylor]: Taking taylor expansion of 0 in phi2
1.178 * [taylor]: Taking taylor expansion of 0 in lambda1
1.178 * [taylor]: Taking taylor expansion of 0 in lambda2
1.178 * [taylor]: Taking taylor expansion of 0 in lambda1
1.178 * [taylor]: Taking taylor expansion of 0 in lambda2
1.178 * [taylor]: Taking taylor expansion of 0 in lambda2
1.178 * [taylor]: Taking taylor expansion of 0 in phi2
1.178 * [taylor]: Taking taylor expansion of 0 in lambda1
1.178 * [taylor]: Taking taylor expansion of 0 in lambda2
1.178 * [taylor]: Taking taylor expansion of 0 in lambda1
1.178 * [taylor]: Taking taylor expansion of 0 in lambda2
1.179 * * * * [progress]: [ 3 / 4 ] generating series at (2)
1.180 * [approximate]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.180 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R
1.180 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R
1.180 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
1.180 * [taylor]: Taking taylor expansion of 1/2 in R
1.180 * [taylor]: Taking taylor expansion of PI in R
1.180 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
1.180 * [taylor]: Taking taylor expansion of R in R
1.180 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2
1.180 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
1.180 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.180 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.180 * [taylor]: Taking taylor expansion of PI in lambda2
1.180 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.181 * [taylor]: Taking taylor expansion of R in lambda2
1.181 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1
1.181 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
1.181 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.181 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.181 * [taylor]: Taking taylor expansion of PI in lambda1
1.181 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.181 * [taylor]: Taking taylor expansion of R in lambda1
1.181 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2
1.181 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
1.181 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.181 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.181 * [taylor]: Taking taylor expansion of PI in phi2
1.181 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.182 * [taylor]: Taking taylor expansion of R in phi2
1.182 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1
1.182 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
1.182 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.182 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.182 * [taylor]: Taking taylor expansion of PI in phi1
1.182 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.182 * [taylor]: Taking taylor expansion of R in phi1
1.182 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1
1.182 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
1.182 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.182 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.182 * [taylor]: Taking taylor expansion of PI in phi1
1.182 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.182 * [taylor]: Taking taylor expansion of R in phi1
1.185 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2
1.185 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
1.185 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.185 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.185 * [taylor]: Taking taylor expansion of PI in phi2
1.185 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.185 * [taylor]: Taking taylor expansion of R in phi2
1.187 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1
1.187 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
1.187 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.187 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.187 * [taylor]: Taking taylor expansion of PI in lambda1
1.187 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.187 * [taylor]: Taking taylor expansion of R in lambda1
1.189 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2
1.189 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
1.190 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.190 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.190 * [taylor]: Taking taylor expansion of PI in lambda2
1.190 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.190 * [taylor]: Taking taylor expansion of R in lambda2
1.192 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R
1.192 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R
1.192 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
1.192 * [taylor]: Taking taylor expansion of 1/2 in R
1.192 * [taylor]: Taking taylor expansion of PI in R
1.192 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
1.193 * [taylor]: Taking taylor expansion of R in R
1.196 * [taylor]: Taking taylor expansion of 0 in phi2
1.196 * [taylor]: Taking taylor expansion of 0 in lambda1
1.196 * [taylor]: Taking taylor expansion of 0 in lambda2
1.196 * [taylor]: Taking taylor expansion of 0 in R
1.198 * [taylor]: Taking taylor expansion of 0 in lambda1
1.198 * [taylor]: Taking taylor expansion of 0 in lambda2
1.198 * [taylor]: Taking taylor expansion of 0 in R
1.200 * [taylor]: Taking taylor expansion of 0 in lambda2
1.200 * [taylor]: Taking taylor expansion of 0 in R
1.201 * [taylor]: Taking taylor expansion of 0 in R
1.206 * [taylor]: Taking taylor expansion of 0 in phi2
1.206 * [taylor]: Taking taylor expansion of 0 in lambda1
1.206 * [taylor]: Taking taylor expansion of 0 in lambda2
1.206 * [taylor]: Taking taylor expansion of 0 in R
1.206 * [taylor]: Taking taylor expansion of 0 in lambda1
1.206 * [taylor]: Taking taylor expansion of 0 in lambda2
1.206 * [taylor]: Taking taylor expansion of 0 in R
1.208 * [taylor]: Taking taylor expansion of 0 in lambda1
1.208 * [taylor]: Taking taylor expansion of 0 in lambda2
1.208 * [taylor]: Taking taylor expansion of 0 in R
1.208 * [taylor]: Taking taylor expansion of 0 in lambda2
1.208 * [taylor]: Taking taylor expansion of 0 in R
1.208 * [taylor]: Taking taylor expansion of 0 in lambda2
1.208 * [taylor]: Taking taylor expansion of 0 in R
1.210 * [taylor]: Taking taylor expansion of 0 in lambda2
1.210 * [taylor]: Taking taylor expansion of 0 in R
1.212 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.212 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R
1.212 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R
1.212 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
1.212 * [taylor]: Taking taylor expansion of 1/2 in R
1.212 * [taylor]: Taking taylor expansion of PI in R
1.212 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
1.213 * [taylor]: Taking taylor expansion of R in R
1.215 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2
1.215 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
1.215 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.215 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.215 * [taylor]: Taking taylor expansion of PI in lambda2
1.215 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.215 * [taylor]: Taking taylor expansion of R in lambda2
1.218 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1
1.218 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
1.218 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.218 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.218 * [taylor]: Taking taylor expansion of PI in lambda1
1.218 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.218 * [taylor]: Taking taylor expansion of R in lambda1
1.221 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2
1.221 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
1.221 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.221 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.221 * [taylor]: Taking taylor expansion of PI in phi2
1.221 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.221 * [taylor]: Taking taylor expansion of R in phi2
1.224 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1
1.224 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
1.224 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.224 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.224 * [taylor]: Taking taylor expansion of PI in phi1
1.224 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.224 * [taylor]: Taking taylor expansion of R in phi1
1.230 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1
1.230 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
1.230 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.230 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.230 * [taylor]: Taking taylor expansion of PI in phi1
1.230 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.230 * [taylor]: Taking taylor expansion of R in phi1
1.233 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2
1.233 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
1.233 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.233 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.233 * [taylor]: Taking taylor expansion of PI in phi2
1.233 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.233 * [taylor]: Taking taylor expansion of R in phi2
1.236 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1
1.236 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
1.236 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.236 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.236 * [taylor]: Taking taylor expansion of PI in lambda1
1.236 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.236 * [taylor]: Taking taylor expansion of R in lambda1
1.239 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2
1.239 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
1.239 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.239 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.239 * [taylor]: Taking taylor expansion of PI in lambda2
1.239 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.239 * [taylor]: Taking taylor expansion of R in lambda2
1.242 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R
1.242 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R
1.242 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
1.242 * [taylor]: Taking taylor expansion of 1/2 in R
1.242 * [taylor]: Taking taylor expansion of PI in R
1.242 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
1.242 * [taylor]: Taking taylor expansion of R in R
1.248 * [taylor]: Taking taylor expansion of 0 in phi2
1.248 * [taylor]: Taking taylor expansion of 0 in lambda1
1.248 * [taylor]: Taking taylor expansion of 0 in lambda2
1.248 * [taylor]: Taking taylor expansion of 0 in R
1.250 * [taylor]: Taking taylor expansion of 0 in lambda1
1.250 * [taylor]: Taking taylor expansion of 0 in lambda2
1.250 * [taylor]: Taking taylor expansion of 0 in R
1.252 * [taylor]: Taking taylor expansion of 0 in lambda2
1.252 * [taylor]: Taking taylor expansion of 0 in R
1.254 * [taylor]: Taking taylor expansion of 0 in R
1.258 * [taylor]: Taking taylor expansion of 0 in phi2
1.258 * [taylor]: Taking taylor expansion of 0 in lambda1
1.258 * [taylor]: Taking taylor expansion of 0 in lambda2
1.258 * [taylor]: Taking taylor expansion of 0 in R
1.258 * [taylor]: Taking taylor expansion of 0 in lambda1
1.258 * [taylor]: Taking taylor expansion of 0 in lambda2
1.259 * [taylor]: Taking taylor expansion of 0 in R
1.260 * [taylor]: Taking taylor expansion of 0 in lambda1
1.261 * [taylor]: Taking taylor expansion of 0 in lambda2
1.261 * [taylor]: Taking taylor expansion of 0 in R
1.261 * [taylor]: Taking taylor expansion of 0 in lambda2
1.261 * [taylor]: Taking taylor expansion of 0 in R
1.261 * [taylor]: Taking taylor expansion of 0 in lambda2
1.261 * [taylor]: Taking taylor expansion of 0 in R
1.263 * [taylor]: Taking taylor expansion of 0 in lambda2
1.263 * [taylor]: Taking taylor expansion of 0 in R
1.263 * [taylor]: Taking taylor expansion of 0 in R
1.263 * [taylor]: Taking taylor expansion of 0 in R
1.263 * [taylor]: Taking taylor expansion of 0 in R
1.265 * [taylor]: Taking taylor expansion of 0 in R
1.270 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
1.270 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R
1.270 * [taylor]: Taking taylor expansion of -1 in R
1.270 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R
1.270 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R
1.270 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
1.270 * [taylor]: Taking taylor expansion of 1/2 in R
1.270 * [taylor]: Taking taylor expansion of PI in R
1.270 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
1.270 * [taylor]: Taking taylor expansion of R in R
1.273 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2
1.273 * [taylor]: Taking taylor expansion of -1 in lambda2
1.273 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2
1.273 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
1.273 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.273 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.273 * [taylor]: Taking taylor expansion of PI in lambda2
1.273 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.273 * [taylor]: Taking taylor expansion of R in lambda2
1.276 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1
1.276 * [taylor]: Taking taylor expansion of -1 in lambda1
1.276 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1
1.276 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
1.276 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.276 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.276 * [taylor]: Taking taylor expansion of PI in lambda1
1.276 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.276 * [taylor]: Taking taylor expansion of R in lambda1
1.279 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2
1.279 * [taylor]: Taking taylor expansion of -1 in phi2
1.279 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2
1.279 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
1.279 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.279 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.279 * [taylor]: Taking taylor expansion of PI in phi2
1.279 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.279 * [taylor]: Taking taylor expansion of R in phi2
1.282 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1
1.282 * [taylor]: Taking taylor expansion of -1 in phi1
1.282 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1
1.282 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
1.282 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.282 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.282 * [taylor]: Taking taylor expansion of PI in phi1
1.282 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.283 * [taylor]: Taking taylor expansion of R in phi1
1.285 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1
1.285 * [taylor]: Taking taylor expansion of -1 in phi1
1.285 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1
1.285 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
1.285 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.285 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.285 * [taylor]: Taking taylor expansion of PI in phi1
1.285 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.286 * [taylor]: Taking taylor expansion of R in phi1
1.289 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2
1.289 * [taylor]: Taking taylor expansion of -1 in phi2
1.289 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2
1.289 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
1.289 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.289 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.289 * [taylor]: Taking taylor expansion of PI in phi2
1.289 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.290 * [taylor]: Taking taylor expansion of R in phi2
1.293 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1
1.293 * [taylor]: Taking taylor expansion of -1 in lambda1
1.293 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1
1.293 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
1.293 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.293 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.293 * [taylor]: Taking taylor expansion of PI in lambda1
1.293 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.294 * [taylor]: Taking taylor expansion of R in lambda1
1.297 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2
1.297 * [taylor]: Taking taylor expansion of -1 in lambda2
1.297 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2
1.297 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
1.297 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.297 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.297 * [taylor]: Taking taylor expansion of PI in lambda2
1.297 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.298 * [taylor]: Taking taylor expansion of R in lambda2
1.301 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R
1.301 * [taylor]: Taking taylor expansion of -1 in R
1.301 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R
1.301 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R
1.301 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R
1.301 * [taylor]: Taking taylor expansion of 1/2 in R
1.301 * [taylor]: Taking taylor expansion of PI in R
1.301 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
1.302 * [taylor]: Taking taylor expansion of R in R
1.312 * [taylor]: Taking taylor expansion of 0 in phi2
1.312 * [taylor]: Taking taylor expansion of 0 in lambda1
1.312 * [taylor]: Taking taylor expansion of 0 in lambda2
1.312 * [taylor]: Taking taylor expansion of 0 in R
1.315 * [taylor]: Taking taylor expansion of 0 in lambda1
1.315 * [taylor]: Taking taylor expansion of 0 in lambda2
1.315 * [taylor]: Taking taylor expansion of 0 in R
1.318 * [taylor]: Taking taylor expansion of 0 in lambda2
1.318 * [taylor]: Taking taylor expansion of 0 in R
1.321 * [taylor]: Taking taylor expansion of 0 in R
1.328 * [taylor]: Taking taylor expansion of 0 in phi2
1.328 * [taylor]: Taking taylor expansion of 0 in lambda1
1.328 * [taylor]: Taking taylor expansion of 0 in lambda2
1.328 * [taylor]: Taking taylor expansion of 0 in R
1.328 * [taylor]: Taking taylor expansion of 0 in lambda1
1.328 * [taylor]: Taking taylor expansion of 0 in lambda2
1.328 * [taylor]: Taking taylor expansion of 0 in R
1.331 * [taylor]: Taking taylor expansion of 0 in lambda1
1.331 * [taylor]: Taking taylor expansion of 0 in lambda2
1.331 * [taylor]: Taking taylor expansion of 0 in R
1.331 * [taylor]: Taking taylor expansion of 0 in lambda2
1.331 * [taylor]: Taking taylor expansion of 0 in R
1.331 * [taylor]: Taking taylor expansion of 0 in lambda2
1.331 * [taylor]: Taking taylor expansion of 0 in R
1.335 * [taylor]: Taking taylor expansion of 0 in lambda2
1.335 * [taylor]: Taking taylor expansion of 0 in R
1.335 * [taylor]: Taking taylor expansion of 0 in R
1.335 * [taylor]: Taking taylor expansion of 0 in R
1.335 * [taylor]: Taking taylor expansion of 0 in R
1.338 * [taylor]: Taking taylor expansion of 0 in R
1.344 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2 2 2)
1.344 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0
1.344 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2
1.344 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2
1.344 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.344 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
1.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.344 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
1.344 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
1.344 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.344 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
1.344 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.344 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1
1.344 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1
1.344 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.344 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1
1.345 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.345 * [taylor]: Taking taylor expansion of 0 in lambda2
1.347 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
1.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.350 * [taylor]: Taking taylor expansion of 0 in lambda2
1.354 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2
1.354 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2
1.354 * [taylor]: Taking taylor expansion of 1/6 in lambda2
1.354 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2
1.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.360 * [taylor]: Taking taylor expansion of 0 in lambda2
1.360 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0
1.360 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
1.360 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
1.360 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.360 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.360 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
1.360 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.360 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.361 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
1.361 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
1.361 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.361 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.361 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
1.361 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.361 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.361 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1
1.361 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1
1.361 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1
1.361 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.362 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1
1.362 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1
1.362 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.362 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2
1.362 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2
1.362 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2
1.362 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.362 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2
1.362 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2
1.362 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.364 * [taylor]: Taking taylor expansion of 0 in lambda2
1.368 * [taylor]: Taking taylor expansion of 0 in lambda2
1.373 * [taylor]: Taking taylor expansion of 0 in lambda2
1.374 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0
1.374 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
1.374 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
1.374 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
1.374 * [taylor]: Taking taylor expansion of -1 in lambda2
1.374 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.374 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
1.374 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
1.374 * [taylor]: Taking taylor expansion of -1 in lambda2
1.374 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.374 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
1.374 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
1.374 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
1.374 * [taylor]: Taking taylor expansion of -1 in lambda1
1.374 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.375 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
1.375 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
1.375 * [taylor]: Taking taylor expansion of -1 in lambda1
1.375 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.375 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1
1.375 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1
1.375 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1
1.375 * [taylor]: Taking taylor expansion of -1 in lambda1
1.375 * [taylor]: Taking taylor expansion of lambda1 in lambda1
1.375 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1
1.375 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1
1.375 * [taylor]: Taking taylor expansion of -1 in lambda1
1.375 * [taylor]: Taking taylor expansion of lambda2 in lambda1
1.376 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2
1.376 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2
1.376 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2
1.376 * [taylor]: Taking taylor expansion of -1 in lambda2
1.376 * [taylor]: Taking taylor expansion of lambda1 in lambda2
1.376 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2
1.376 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2
1.376 * [taylor]: Taking taylor expansion of -1 in lambda2
1.376 * [taylor]: Taking taylor expansion of lambda2 in lambda2
1.378 * [taylor]: Taking taylor expansion of 0 in lambda2
1.382 * [taylor]: Taking taylor expansion of 0 in lambda2
1.387 * [taylor]: Taking taylor expansion of 0 in lambda2
1.388 * * * [progress]: simplifying candidates
1.388 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (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)))))))))
  (- (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)))))))
  (- (/ PI 2) (/ PI 2))
  (- (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))))))
  (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R)
  (* (- (* (/ 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)))))))) R)
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R)
  (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R)
  (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R)
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
1.395 * * [simplify]: iteration  0 :  141  enodes  (cost  431 )
1.398 * * [simplify]: iteration  1 :  305  enodes  (cost  419 )
1.403 * * [simplify]: iteration  2 :  621  enodes  (cost  413 )
1.411 * * [simplify]: iteration  3 :  1147  enodes  (cost  410 )
1.430 * * [simplify]: iteration  4 :  3159  enodes  (cost  410 )
1.482 * * [simplify]: iteration  5 :  5003  enodes  (cost  410 )
1.484 * [simplify]: Simplified to:
   (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))
  (+ (* (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))) (* (/ PI 2) (/ PI 2)))
  (- (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)))))))
  0
  (- (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))))))
  (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R)
  (* (- (* (/ 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)))))))) R)
  (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (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))))))
  (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))
  (* lambda2 lambda1)
  (* (sin lambda1) (sin lambda2))
  (* (sin lambda1) (sin lambda2))
1.484 * * * [progress]: adding candidates to table
1.570 * * [progress]: iteration 4 / 4
1.570 * * * [progress]: picking best candidate
1.608 * * * * [pick]: Picked  #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (- (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))>
1.609 * * * [progress]: localizing error
1.642 * * * [progress]: generating rewritten candidates
1.642 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
1.647 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2)
1.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
1.657 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
1.664 * * * [progress]: generating series expansions
1.665 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
1.665 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.666 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
1.666 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.666 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.666 * [taylor]: Taking taylor expansion of PI in lambda2
1.666 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.666 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
1.666 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.666 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.666 * [taylor]: Taking taylor expansion of PI in lambda1
1.666 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.666 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
1.666 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.666 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.666 * [taylor]: Taking taylor expansion of PI in phi2
1.667 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.667 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
1.667 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.667 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.667 * [taylor]: Taking taylor expansion of PI in phi1
1.667 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.667 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1
1.667 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.667 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.667 * [taylor]: Taking taylor expansion of PI in phi1
1.667 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.669 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2
1.669 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.669 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.669 * [taylor]: Taking taylor expansion of PI in phi2
1.669 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.671 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1
1.671 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.671 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.671 * [taylor]: Taking taylor expansion of PI in lambda1
1.671 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.673 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2
1.673 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.673 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.673 * [taylor]: Taking taylor expansion of PI in lambda2
1.673 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.676 * [taylor]: Taking taylor expansion of 0 in phi2
1.676 * [taylor]: Taking taylor expansion of 0 in lambda1
1.676 * [taylor]: Taking taylor expansion of 0 in lambda2
1.677 * [taylor]: Taking taylor expansion of 0 in lambda1
1.677 * [taylor]: Taking taylor expansion of 0 in lambda2
1.678 * [taylor]: Taking taylor expansion of 0 in lambda2
1.680 * [taylor]: Taking taylor expansion of 0 in phi2
1.680 * [taylor]: Taking taylor expansion of 0 in lambda1
1.680 * [taylor]: Taking taylor expansion of 0 in lambda2
1.680 * [taylor]: Taking taylor expansion of 0 in lambda1
1.680 * [taylor]: Taking taylor expansion of 0 in lambda2
1.682 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.682 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
1.682 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.682 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.682 * [taylor]: Taking taylor expansion of PI in lambda2
1.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.682 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
1.682 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.682 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.682 * [taylor]: Taking taylor expansion of PI in lambda1
1.682 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.683 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
1.683 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.683 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.683 * [taylor]: Taking taylor expansion of PI in phi2
1.683 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.684 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
1.684 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.684 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.684 * [taylor]: Taking taylor expansion of PI in phi1
1.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.684 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1
1.684 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.684 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.684 * [taylor]: Taking taylor expansion of PI in phi1
1.684 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.686 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2
1.686 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.686 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.686 * [taylor]: Taking taylor expansion of PI in phi2
1.686 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.689 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1
1.689 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.689 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.689 * [taylor]: Taking taylor expansion of PI in lambda1
1.689 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.691 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2
1.691 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.691 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.691 * [taylor]: Taking taylor expansion of PI in lambda2
1.691 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.695 * [taylor]: Taking taylor expansion of 0 in phi2
1.695 * [taylor]: Taking taylor expansion of 0 in lambda1
1.695 * [taylor]: Taking taylor expansion of 0 in lambda2
1.696 * [taylor]: Taking taylor expansion of 0 in lambda1
1.696 * [taylor]: Taking taylor expansion of 0 in lambda2
1.697 * [taylor]: Taking taylor expansion of 0 in lambda2
1.698 * [taylor]: Taking taylor expansion of 0 in phi2
1.698 * [taylor]: Taking taylor expansion of 0 in lambda1
1.698 * [taylor]: Taking taylor expansion of 0 in lambda2
1.699 * [taylor]: Taking taylor expansion of 0 in lambda1
1.699 * [taylor]: Taking taylor expansion of 0 in lambda2
1.703 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.703 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
1.703 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.703 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.703 * [taylor]: Taking taylor expansion of PI in lambda2
1.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.704 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
1.704 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.704 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.704 * [taylor]: Taking taylor expansion of PI in lambda1
1.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.704 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
1.704 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.704 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.704 * [taylor]: Taking taylor expansion of PI in phi2
1.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.705 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
1.705 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.705 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.705 * [taylor]: Taking taylor expansion of PI in phi1
1.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.705 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1
1.705 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1
1.705 * [taylor]: Taking taylor expansion of 1/2 in phi1
1.705 * [taylor]: Taking taylor expansion of PI in phi1
1.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.708 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2
1.708 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2
1.708 * [taylor]: Taking taylor expansion of 1/2 in phi2
1.708 * [taylor]: Taking taylor expansion of PI in phi2
1.708 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.710 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1
1.710 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1
1.710 * [taylor]: Taking taylor expansion of 1/2 in lambda1
1.710 * [taylor]: Taking taylor expansion of PI in lambda1
1.710 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.712 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2
1.712 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2
1.712 * [taylor]: Taking taylor expansion of 1/2 in lambda2
1.712 * [taylor]: Taking taylor expansion of PI in lambda2
1.712 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.716 * [taylor]: Taking taylor expansion of 0 in phi2
1.716 * [taylor]: Taking taylor expansion of 0 in lambda1
1.716 * [taylor]: Taking taylor expansion of 0 in lambda2
1.717 * [taylor]: Taking taylor expansion of 0 in lambda1
1.717 * [taylor]: Taking taylor expansion of 0 in lambda2
1.718 * [taylor]: Taking taylor expansion of 0 in lambda2
1.720 * [taylor]: Taking taylor expansion of 0 in phi2
1.720 * [taylor]: Taking taylor expansion of 0 in lambda1
1.720 * [taylor]: Taking taylor expansion of 0 in lambda2
1.720 * [taylor]: Taking taylor expansion of 0 in lambda1
1.720 * [taylor]: Taking taylor expansion of 0 in lambda2
1.721 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2)
1.721 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.721 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.722 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.722 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.722 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.723 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.723 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.723 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.724 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.725 * [taylor]: Taking taylor expansion of 0 in phi2
1.725 * [taylor]: Taking taylor expansion of 0 in lambda1
1.725 * [taylor]: Taking taylor expansion of 0 in lambda2
1.725 * [taylor]: Taking taylor expansion of 0 in lambda1
1.725 * [taylor]: Taking taylor expansion of 0 in lambda2
1.725 * [taylor]: Taking taylor expansion of 0 in lambda2
1.725 * [taylor]: Taking taylor expansion of 0 in phi2
1.725 * [taylor]: Taking taylor expansion of 0 in lambda1
1.725 * [taylor]: Taking taylor expansion of 0 in lambda2
1.725 * [taylor]: Taking taylor expansion of 0 in lambda1
1.725 * [taylor]: Taking taylor expansion of 0 in lambda2
1.726 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.729 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.730 * [taylor]: Taking taylor expansion of 0 in phi2
1.730 * [taylor]: Taking taylor expansion of 0 in lambda1
1.730 * [taylor]: Taking taylor expansion of 0 in lambda2
1.730 * [taylor]: Taking taylor expansion of 0 in lambda1
1.730 * [taylor]: Taking taylor expansion of 0 in lambda2
1.730 * [taylor]: Taking taylor expansion of 0 in lambda2
1.730 * [taylor]: Taking taylor expansion of 0 in phi2
1.730 * [taylor]: Taking taylor expansion of 0 in lambda1
1.730 * [taylor]: Taking taylor expansion of 0 in lambda2
1.730 * [taylor]: Taking taylor expansion of 0 in lambda1
1.730 * [taylor]: Taking taylor expansion of 0 in lambda2
1.731 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
1.731 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.732 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.732 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.733 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.733 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.734 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.734 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.735 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.736 * [taylor]: Taking taylor expansion of 0 in phi2
1.736 * [taylor]: Taking taylor expansion of 0 in lambda1
1.736 * [taylor]: Taking taylor expansion of 0 in lambda2
1.736 * [taylor]: Taking taylor expansion of 0 in lambda1
1.736 * [taylor]: Taking taylor expansion of 0 in lambda2
1.736 * [taylor]: Taking taylor expansion of 0 in lambda2
1.736 * [taylor]: Taking taylor expansion of 0 in phi2
1.736 * [taylor]: Taking taylor expansion of 0 in lambda1
1.736 * [taylor]: Taking taylor expansion of 0 in lambda2
1.736 * [taylor]: Taking taylor expansion of 0 in lambda1
1.736 * [taylor]: Taking taylor expansion of 0 in lambda2
1.737 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
1.738 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.738 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.738 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.739 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.739 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.739 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.740 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.740 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.741 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.741 * [taylor]: Taking taylor expansion of 0 in phi2
1.741 * [taylor]: Taking taylor expansion of 0 in lambda1
1.741 * [taylor]: Taking taylor expansion of 0 in lambda2
1.741 * [taylor]: Taking taylor expansion of 0 in lambda1
1.741 * [taylor]: Taking taylor expansion of 0 in lambda2
1.741 * [taylor]: Taking taylor expansion of 0 in lambda2
1.741 * [taylor]: Taking taylor expansion of 0 in phi2
1.741 * [taylor]: Taking taylor expansion of 0 in lambda1
1.741 * [taylor]: Taking taylor expansion of 0 in lambda2
1.742 * [taylor]: Taking taylor expansion of 0 in lambda1
1.742 * [taylor]: Taking taylor expansion of 0 in lambda2
1.743 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0
1.743 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.746 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.746 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.747 * [taylor]: Taking taylor expansion of 0 in phi2
1.747 * [taylor]: Taking taylor expansion of 0 in lambda1
1.747 * [taylor]: Taking taylor expansion of 0 in lambda2
1.748 * [taylor]: Taking taylor expansion of 0 in lambda1
1.748 * [taylor]: Taking taylor expansion of 0 in lambda2
1.748 * [taylor]: Taking taylor expansion of 0 in lambda2
1.748 * [taylor]: Taking taylor expansion of 0 in phi2
1.748 * [taylor]: Taking taylor expansion of 0 in lambda1
1.748 * [taylor]: Taking taylor expansion of 0 in lambda2
1.748 * [taylor]: Taking taylor expansion of 0 in lambda1
1.748 * [taylor]: Taking taylor expansion of 0 in lambda2
1.749 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0
1.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.751 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.751 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.752 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.752 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.753 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.754 * [taylor]: Taking taylor expansion of 0 in phi2
1.754 * [taylor]: Taking taylor expansion of 0 in lambda1
1.754 * [taylor]: Taking taylor expansion of 0 in lambda2
1.754 * [taylor]: Taking taylor expansion of 0 in lambda1
1.754 * [taylor]: Taking taylor expansion of 0 in lambda2
1.754 * [taylor]: Taking taylor expansion of 0 in lambda2
1.754 * [taylor]: Taking taylor expansion of 0 in phi2
1.754 * [taylor]: Taking taylor expansion of 0 in lambda1
1.754 * [taylor]: Taking taylor expansion of 0 in lambda2
1.754 * [taylor]: Taking taylor expansion of 0 in lambda1
1.754 * [taylor]: Taking taylor expansion of 0 in lambda2
1.755 * * * * [progress]: [ 4 / 4 ] generating series at (2)
1.756 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.756 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
1.756 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
1.756 * [taylor]: Taking taylor expansion of R in R
1.756 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
1.756 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.757 * [taylor]: Taking taylor expansion of R in lambda2
1.757 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
1.757 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.757 * [taylor]: Taking taylor expansion of R in lambda1
1.757 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
1.757 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.758 * [taylor]: Taking taylor expansion of R in phi2
1.758 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
1.758 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.758 * [taylor]: Taking taylor expansion of R in phi1
1.758 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1
1.758 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1
1.758 * [taylor]: Taking taylor expansion of R in phi1
1.759 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2
1.759 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2
1.759 * [taylor]: Taking taylor expansion of R in phi2
1.759 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1
1.760 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1
1.760 * [taylor]: Taking taylor expansion of R in lambda1
1.760 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2
1.760 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2
1.761 * [taylor]: Taking taylor expansion of R in lambda2
1.761 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R
1.761 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R
1.761 * [taylor]: Taking taylor expansion of R in R
1.762 * [taylor]: Taking taylor expansion of 0 in phi2
1.762 * [taylor]: Taking taylor expansion of 0 in lambda1
1.762 * [taylor]: Taking taylor expansion of 0 in lambda2
1.762 * [taylor]: Taking taylor expansion of 0 in R
1.763 * [taylor]: Taking taylor expansion of 0 in lambda1
1.763 * [taylor]: Taking taylor expansion of 0 in lambda2
1.763 * [taylor]: Taking taylor expansion of 0 in R
1.763 * [taylor]: Taking taylor expansion of 0 in lambda2
1.763 * [taylor]: Taking taylor expansion of 0 in R
1.763 * [taylor]: Taking taylor expansion of 0 in R
1.765 * [taylor]: Taking taylor expansion of 0 in phi2
1.765 * [taylor]: Taking taylor expansion of 0 in lambda1
1.765 * [taylor]: Taking taylor expansion of 0 in lambda2
1.765 * [taylor]: Taking taylor expansion of 0 in R
1.765 * [taylor]: Taking taylor expansion of 0 in lambda1
1.765 * [taylor]: Taking taylor expansion of 0 in lambda2
1.765 * [taylor]: Taking taylor expansion of 0 in R
1.766 * [taylor]: Taking taylor expansion of 0 in lambda1
1.766 * [taylor]: Taking taylor expansion of 0 in lambda2
1.766 * [taylor]: Taking taylor expansion of 0 in R
1.766 * [taylor]: Taking taylor expansion of 0 in lambda2
1.766 * [taylor]: Taking taylor expansion of 0 in R
1.766 * [taylor]: Taking taylor expansion of 0 in lambda2
1.766 * [taylor]: Taking taylor expansion of 0 in R
1.767 * [taylor]: Taking taylor expansion of 0 in lambda2
1.767 * [taylor]: Taking taylor expansion of 0 in R
1.769 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0
1.769 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
1.769 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
1.769 * [taylor]: Taking taylor expansion of R in R
1.770 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
1.770 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.770 * [taylor]: Taking taylor expansion of R in lambda2
1.771 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
1.771 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.771 * [taylor]: Taking taylor expansion of R in lambda1
1.772 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
1.772 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.772 * [taylor]: Taking taylor expansion of R in phi2
1.773 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
1.773 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.773 * [taylor]: Taking taylor expansion of R in phi1
1.774 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1
1.774 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1
1.774 * [taylor]: Taking taylor expansion of R in phi1
1.775 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2
1.775 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2
1.775 * [taylor]: Taking taylor expansion of R in phi2
1.776 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1
1.776 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1
1.776 * [taylor]: Taking taylor expansion of R in lambda1
1.777 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2
1.777 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2
1.777 * [taylor]: Taking taylor expansion of R in lambda2
1.780 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R
1.780 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R
1.781 * [taylor]: Taking taylor expansion of R in R
1.783 * [taylor]: Taking taylor expansion of 0 in phi2
1.783 * [taylor]: Taking taylor expansion of 0 in lambda1
1.783 * [taylor]: Taking taylor expansion of 0 in lambda2
1.783 * [taylor]: Taking taylor expansion of 0 in R
1.783 * [taylor]: Taking taylor expansion of 0 in lambda1
1.783 * [taylor]: Taking taylor expansion of 0 in lambda2
1.783 * [taylor]: Taking taylor expansion of 0 in R
1.784 * [taylor]: Taking taylor expansion of 0 in lambda2
1.784 * [taylor]: Taking taylor expansion of 0 in R
1.785 * [taylor]: Taking taylor expansion of 0 in R
1.787 * [taylor]: Taking taylor expansion of 0 in phi2
1.787 * [taylor]: Taking taylor expansion of 0 in lambda1
1.787 * [taylor]: Taking taylor expansion of 0 in lambda2
1.787 * [taylor]: Taking taylor expansion of 0 in R
1.787 * [taylor]: Taking taylor expansion of 0 in lambda1
1.787 * [taylor]: Taking taylor expansion of 0 in lambda2
1.787 * [taylor]: Taking taylor expansion of 0 in R
1.787 * [taylor]: Taking taylor expansion of 0 in lambda1
1.787 * [taylor]: Taking taylor expansion of 0 in lambda2
1.788 * [taylor]: Taking taylor expansion of 0 in R
1.788 * [taylor]: Taking taylor expansion of 0 in lambda2
1.788 * [taylor]: Taking taylor expansion of 0 in R
1.788 * [taylor]: Taking taylor expansion of 0 in lambda2
1.788 * [taylor]: Taking taylor expansion of 0 in R
1.788 * [taylor]: Taking taylor expansion of 0 in lambda2
1.788 * [taylor]: Taking taylor expansion of 0 in R
1.788 * [taylor]: Taking taylor expansion of 0 in R
1.788 * [taylor]: Taking taylor expansion of 0 in R
1.788 * [taylor]: Taking taylor expansion of 0 in R
1.789 * [taylor]: Taking taylor expansion of 0 in R
1.793 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0
1.793 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
1.793 * [taylor]: Taking taylor expansion of -1 in R
1.793 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
1.793 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
1.793 * [taylor]: Taking taylor expansion of R in R
1.794 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
1.794 * [taylor]: Taking taylor expansion of -1 in lambda2
1.794 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
1.794 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.794 * [taylor]: Taking taylor expansion of R in lambda2
1.795 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
1.795 * [taylor]: Taking taylor expansion of -1 in lambda1
1.795 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
1.795 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.795 * [taylor]: Taking taylor expansion of R in lambda1
1.796 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
1.796 * [taylor]: Taking taylor expansion of -1 in phi2
1.796 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
1.796 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.796 * [taylor]: Taking taylor expansion of R in phi2
1.797 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
1.797 * [taylor]: Taking taylor expansion of -1 in phi1
1.797 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
1.797 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.797 * [taylor]: Taking taylor expansion of R in phi1
1.798 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1
1.798 * [taylor]: Taking taylor expansion of -1 in phi1
1.798 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1
1.798 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1
1.798 * [taylor]: Taking taylor expansion of R in phi1
1.799 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2
1.799 * [taylor]: Taking taylor expansion of -1 in phi2
1.799 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2
1.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2
1.800 * [taylor]: Taking taylor expansion of R in phi2
1.801 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1
1.801 * [taylor]: Taking taylor expansion of -1 in lambda1
1.801 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1
1.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1
1.801 * [taylor]: Taking taylor expansion of R in lambda1
1.802 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2
1.803 * [taylor]: Taking taylor expansion of -1 in lambda2
1.803 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2
1.803 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2
1.803 * [taylor]: Taking taylor expansion of R in lambda2
1.804 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R
1.804 * [taylor]: Taking taylor expansion of -1 in R
1.804 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R
1.804 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R
1.805 * [taylor]: Taking taylor expansion of R in R
1.808 * [taylor]: Taking taylor expansion of 0 in phi2
1.808 * [taylor]: Taking taylor expansion of 0 in lambda1
1.808 * [taylor]: Taking taylor expansion of 0 in lambda2
1.808 * [taylor]: Taking taylor expansion of 0 in R
1.809 * [taylor]: Taking taylor expansion of 0 in lambda1
1.809 * [taylor]: Taking taylor expansion of 0 in lambda2
1.809 * [taylor]: Taking taylor expansion of 0 in R
1.811 * [taylor]: Taking taylor expansion of 0 in lambda2
1.811 * [taylor]: Taking taylor expansion of 0 in R
1.812 * [taylor]: Taking taylor expansion of 0 in R
1.816 * [taylor]: Taking taylor expansion of 0 in phi2
1.816 * [taylor]: Taking taylor expansion of 0 in lambda1
1.816 * [taylor]: Taking taylor expansion of 0 in lambda2
1.816 * [taylor]: Taking taylor expansion of 0 in R
1.816 * [taylor]: Taking taylor expansion of 0 in lambda1
1.816 * [taylor]: Taking taylor expansion of 0 in lambda2
1.816 * [taylor]: Taking taylor expansion of 0 in R
1.817 * [taylor]: Taking taylor expansion of 0 in lambda1
1.817 * [taylor]: Taking taylor expansion of 0 in lambda2
1.817 * [taylor]: Taking taylor expansion of 0 in R
1.817 * [taylor]: Taking taylor expansion of 0 in lambda2
1.818 * [taylor]: Taking taylor expansion of 0 in R
1.818 * [taylor]: Taking taylor expansion of 0 in lambda2
1.818 * [taylor]: Taking taylor expansion of 0 in R
1.819 * [taylor]: Taking taylor expansion of 0 in lambda2
1.819 * [taylor]: Taking taylor expansion of 0 in R
1.819 * [taylor]: Taking taylor expansion of 0 in R
1.819 * [taylor]: Taking taylor expansion of 0 in R
1.819 * [taylor]: Taking taylor expansion of 0 in R
1.821 * [taylor]: Taking taylor expansion of 0 in R
1.825 * * * [progress]: simplifying candidates
1.826 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))
  (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (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)))))))
  (- (* (/ PI 2) (/ PI 2)) (* (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))))))))
  (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (/ PI 2) (/ PI 2))
  (- (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))))))
  (- (* PI (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))
  (* 2 (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (- (* PI (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* 2 (- (* (/ PI 2) (/ PI 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (* 2 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (* (- PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (- 2) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))
  (* (- 2) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (- (* (- PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- 2) (- (* (/ PI 2) (/ PI 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (* (- 2) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (* 1 (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))
  (* (/ 2 PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))
  (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (pow (/ PI 2) 3) (pow (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3))
  (+ (* (/ PI 2) (/ PI 2)) (+ (* (- (/ PI 2) (acos (+ (* (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)))))))) (* (/ PI 2) (- (/ PI 2) (acos (+ (* (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))))))))
  (- (* (/ PI 2) (/ PI 2)) (* (- (/ PI 2) (acos (+ (* (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)))))))))
  (+ (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (/ PI 2) (/ PI 2))
  (- (/ PI 2) (- (/ PI 2) (/ PI 2)))
  (- (/ PI 2) (/ PI 2))
  (- (/ PI 2) (/ PI 2))
  (- (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (- (* PI (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) R)
  (* (- (* PI (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* 2 (- (* (/ PI 2) (/ PI 2)) (* (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)
  (* (- (* (- PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (- 2) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) R)
  (* (- (* (- PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (- 2) (- (* (/ PI 2) (/ PI 2)) (* (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)
  (* (- (* 1 (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) R)
  (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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)
  (* (- (pow (/ PI 2) 3) (pow (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3)) R)
  (* (- (* (/ PI 2) (/ PI 2)) (* (- (/ PI 2) (acos (+ (* (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))))))))) R)
  (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))))
  (- (* 1/2 PI) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))
  (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R)
  (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R)
1.833 * * [simplify]: iteration  0 :  311  enodes  (cost  1666 )
1.838 * * [simplify]: iteration  1 :  1196  enodes  (cost  1533 )
1.860 * * [simplify]: iteration  2 :  5001  enodes  (cost  1461 )
1.864 * [simplify]: Simplified to:
   (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))
  (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))
  (- (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (- (* (/ PI 2) (/ PI 2)) (* (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))))))))
  (+ (/ PI 2) (acos (+ (* (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 2)
  (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (+ (* (- 2) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) PI))
  (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) 2)
  (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- PI (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 2)))
  (* 2 (+ (/ PI 2) (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI)) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))
  (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- 2))
  (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (- PI) (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 2)))
  (* (- 2) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (+ (* (/ PI 2) (/ PI 2)) (- (* (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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))
  (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (/ 2 PI))
  (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 1 (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 2 PI))))
  (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (- (pow (/ PI 2) 3) (pow (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3))
  (+ (* (- (/ PI 2) (acos (+ (* (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))))))) (/ PI 2))) (* (/ PI 2) (/ PI 2)))
  (- (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  (* (+ (/ PI 2) (- (/ PI 2) (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)))))))
  (+ (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))
  0
  (/ PI 2)
  0
  0
  (- (- (/ PI 2) (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) PI)) (* R (* (- 2) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))
  (* (- (* PI (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* 2 (- (* (/ PI 2) (/ PI 2)) (* (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 (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI))) (* R (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))
  (- (* (- (* PI (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* 2 (- (* (/ PI 2) (/ PI 2)) (* (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 (* (/ PI 2) (/ PI 2))) (* 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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))))
  (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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)
  (* (- (pow (/ PI 2) 3) (pow (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3)) R)
  (* (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (/ PI 2) (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))
  (- (* 1/2 PI) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (- (* 1/2 PI) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (- (* 1/2 PI) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
  (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
1.865 * * * [progress]: adding candidates to table
2.084 * [progress]: [Phase 3 of 3] Extracting.
2.085 * * [regime]: Finding splitpoints for: (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 1 (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 2 PI)))) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI)) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- 2))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (/ PI 2) (/ PI 2)) (- (* (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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (/ 2 PI))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* R (* (/ PI 2) (/ PI 2))) (* 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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))) (* (/ 2 PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ 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)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ 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)))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* 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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI))) (* R (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (- 2) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>)
2.122 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R)
2.122 * * * * [regimes]: Trying to branch on phi2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 1 (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 2 PI)))) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI)) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- 2))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (/ PI 2) (/ PI 2)) (- (* (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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (/ 2 PI))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* R (* (/ PI 2) (/ PI 2))) (* 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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))) (* (/ 2 PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ 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)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ 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)))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* 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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI))) (* R (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (- 2) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>)
2.217 * * * * [regimes]: Trying to branch on phi1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 1 (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 2 PI)))) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI)) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- 2))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (/ PI 2) (/ PI 2)) (- (* (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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (/ 2 PI))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* R (* (/ PI 2) (/ PI 2))) (* 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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))) (* (/ 2 PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ 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)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ 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)))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* 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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI))) (* R (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (- 2) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>)
2.311 * * * * [regimes]: Trying to branch on lambda2 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 1 (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 2 PI)))) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI)) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- 2))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (/ PI 2) (/ PI 2)) (- (* (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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (/ 2 PI))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* R (* (/ PI 2) (/ PI 2))) (* 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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))) (* (/ 2 PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ 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)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ 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)))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* 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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI))) (* R (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (- 2) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>)
2.400 * * * * [regimes]: Trying to branch on lambda1 from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 1 (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 2 PI)))) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI)) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- 2))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (/ PI 2) (/ PI 2)) (- (* (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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (/ 2 PI))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* R (* (/ PI 2) (/ PI 2))) (* 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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))) (* (/ 2 PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ 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)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ 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)))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* 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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI))) (* R (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (- 2) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>)
2.490 * * * * [regimes]: Trying to branch on R from (#<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (* (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 1 (* (- (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ 2 PI)))) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (+ (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI)) (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- 2))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* (/ (+ (* (/ PI 2) (/ PI 2)) (- (* (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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (+ (* (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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (/ 2 PI))) R))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* R (* (/ PI 2) (/ PI 2))) (* 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)))))) (/ PI 2))) (* (/ 2 PI) (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)))))) (* (/ 2 PI) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (- (* R (* 1/2 PI)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* (/ 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)))))))) R) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (+ (* (/ 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)))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (+ (* 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)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (- PI))) (* R (* 2 (- (pow (/ PI 2) 3) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3))))) (* (- 2) (+ (* (/ PI 2) (/ PI 2)) (+ (* (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))))))) (* (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (/ (* (- (* 1 (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (/ 2 PI) (- (* (/ PI 2) (/ PI 2)) (* (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) (* (/ 2 PI) (+ (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))))> #<alt (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))>)
2.577 * * * [regime]: Found split indices: #<option (#s(si 9 255))>
2.578 * [simplify]: Simplifying using  #<procedure:simplify-batch-egg> :
   (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
2.578 * * [simplify]: iteration  0 :  30  enodes  (cost  17 )
2.578 * * [simplify]: iteration  1 :  30  enodes  (cost  17 )
2.579 * [simplify]: Simplified to:
   (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))
11.447 * [regime-testing]: Baseline error score: 3.617870838086605
11.448 * [regime-testing]: Oracle error score: 3.2615384285076066
11.449 * [regime-testing]: End program error score: 3.617870838086605