14.130 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.305 * * * [progress]: [2/2] Setting up program. 0.310 * [progress]: [Phase 2 of 3] Improving. 0.310 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.311 * * [simplify]: iteration 0 : 17 enodes (cost 19 ) 0.313 * * [simplify]: iteration 1 : 26 enodes (cost 19 ) 0.316 * * [simplify]: iteration 2 : 33 enodes (cost 19 ) 0.319 * * [simplify]: iteration done : 33 enodes (cost 19 ) 0.319 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.320 * * [progress]: iteration 1 / 4 0.320 * * * [progress]: picking best candidate 0.324 * * * * [pick]: Picked # 0.324 * * * [progress]: localizing error 0.348 * * * [progress]: generating rewritten candidates 0.349 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.353 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.354 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.356 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.361 * * * [progress]: generating series expansions 0.362 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.362 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.362 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.362 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.362 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.362 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.362 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.362 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.362 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.363 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.363 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.363 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.363 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.363 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.363 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.366 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.367 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.367 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.367 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.370 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.370 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.370 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.370 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.370 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.370 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.373 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.373 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.373 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.373 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.373 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.373 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.373 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.374 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.374 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.374 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.374 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.374 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.374 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.374 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.374 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.374 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.375 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.375 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.375 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.375 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.375 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.375 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.375 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.375 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.376 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.376 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.376 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.377 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.377 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.377 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.377 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.377 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.377 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.377 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.377 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.377 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.378 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.378 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.378 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.378 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.378 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.378 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.379 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.379 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.379 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.379 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.379 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.379 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.380 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in phi2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [taylor]: Taking taylor expansion of 0 in lambda1 0.387 * [taylor]: Taking taylor expansion of 0 in lambda2 0.387 * [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 0.387 * [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 0.388 * [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 0.388 * [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 0.388 * [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 0.389 * [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 0.389 * [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 0.389 * [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 0.389 * [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 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.391 * [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 0.391 * [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 0.391 * [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 0.392 * [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 0.392 * [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 0.392 * [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 0.392 * [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 0.393 * [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 0.393 * [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 0.393 * [taylor]: Taking taylor expansion of 0 in phi2 0.393 * [taylor]: Taking taylor expansion of 0 in lambda1 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in phi2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.394 * [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 0.394 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.394 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.395 * [taylor]: Taking taylor expansion of R in R 0.395 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.395 * [taylor]: Taking taylor expansion of R in lambda2 0.395 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.395 * [taylor]: Taking taylor expansion of R in lambda1 0.395 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.395 * [taylor]: Taking taylor expansion of R in phi2 0.395 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.395 * [taylor]: Taking taylor expansion of R in phi1 0.395 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.395 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.396 * [taylor]: Taking taylor expansion of R in phi1 0.396 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.396 * [taylor]: Taking taylor expansion of R in phi2 0.396 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.397 * [taylor]: Taking taylor expansion of R in lambda1 0.397 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.397 * [taylor]: Taking taylor expansion of R in lambda2 0.397 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.397 * [taylor]: Taking taylor expansion of R in R 0.398 * [taylor]: Taking taylor expansion of 0 in phi2 0.398 * [taylor]: Taking taylor expansion of 0 in lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [taylor]: Taking taylor expansion of 0 in R 0.399 * [taylor]: Taking taylor expansion of 0 in R 0.400 * [taylor]: Taking taylor expansion of 0 in phi2 0.400 * [taylor]: Taking taylor expansion of 0 in lambda1 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.400 * [taylor]: Taking taylor expansion of 0 in lambda1 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.400 * [taylor]: Taking taylor expansion of 0 in R 0.401 * [taylor]: Taking taylor expansion of 0 in lambda1 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.402 * [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 0.402 * [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 0.402 * [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 0.403 * [taylor]: Taking taylor expansion of R in R 0.403 * [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 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of R in lambda2 0.404 * [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 0.404 * [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 0.404 * [taylor]: Taking taylor expansion of R in lambda1 0.404 * [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 0.404 * [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 0.404 * [taylor]: Taking taylor expansion of R in phi2 0.405 * [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 0.405 * [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 0.405 * [taylor]: Taking taylor expansion of R in phi1 0.405 * [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 0.405 * [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 0.405 * [taylor]: Taking taylor expansion of R in phi1 0.406 * [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 0.406 * [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 0.406 * [taylor]: Taking taylor expansion of R in phi2 0.406 * [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 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of R in lambda1 0.407 * [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 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of R in lambda2 0.408 * [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 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of R in R 0.409 * [taylor]: Taking taylor expansion of 0 in phi2 0.409 * [taylor]: Taking taylor expansion of 0 in lambda1 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in lambda1 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in phi2 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [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 0.415 * [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 0.416 * [taylor]: Taking taylor expansion of -1 in R 0.416 * [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 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of R in R 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of -1 in lambda2 0.416 * [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 0.416 * [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 0.416 * [taylor]: Taking taylor expansion of R in lambda2 0.417 * [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 0.417 * [taylor]: Taking taylor expansion of -1 in lambda1 0.417 * [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 0.417 * [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 0.417 * [taylor]: Taking taylor expansion of R in lambda1 0.417 * [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 0.417 * [taylor]: Taking taylor expansion of -1 in phi2 0.417 * [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 0.417 * [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 0.418 * [taylor]: Taking taylor expansion of R in phi2 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [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 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of R in phi1 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of -1 in phi1 0.418 * [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 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of R in phi1 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of -1 in phi2 0.419 * [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 0.419 * [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 0.420 * [taylor]: Taking taylor expansion of R in phi2 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of -1 in lambda1 0.420 * [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 0.420 * [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 0.421 * [taylor]: Taking taylor expansion of R in lambda1 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of -1 in lambda2 0.421 * [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 0.421 * [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 0.422 * [taylor]: Taking taylor expansion of R in lambda2 0.422 * [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 0.422 * [taylor]: Taking taylor expansion of -1 in R 0.422 * [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 0.422 * [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 0.423 * [taylor]: Taking taylor expansion of R in R 0.424 * [taylor]: Taking taylor expansion of 0 in phi2 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.425 * [taylor]: Taking taylor expansion of 0 in R 0.425 * [taylor]: Taking taylor expansion of 0 in lambda1 0.426 * [taylor]: Taking taylor expansion of 0 in lambda2 0.426 * [taylor]: Taking taylor expansion of 0 in R 0.426 * [taylor]: Taking taylor expansion of 0 in lambda2 0.427 * [taylor]: Taking taylor expansion of 0 in R 0.427 * [taylor]: Taking taylor expansion of 0 in R 0.430 * [taylor]: Taking taylor expansion of 0 in phi2 0.430 * [taylor]: Taking taylor expansion of 0 in lambda1 0.430 * [taylor]: Taking taylor expansion of 0 in lambda2 0.430 * [taylor]: Taking taylor expansion of 0 in R 0.430 * [taylor]: Taking taylor expansion of 0 in lambda1 0.430 * [taylor]: Taking taylor expansion of 0 in lambda2 0.430 * [taylor]: Taking taylor expansion of 0 in R 0.431 * [taylor]: Taking taylor expansion of 0 in lambda1 0.431 * [taylor]: Taking taylor expansion of 0 in lambda2 0.431 * [taylor]: Taking taylor expansion of 0 in R 0.431 * [taylor]: Taking taylor expansion of 0 in lambda2 0.432 * [taylor]: Taking taylor expansion of 0 in R 0.432 * [taylor]: Taking taylor expansion of 0 in lambda2 0.432 * [taylor]: Taking taylor expansion of 0 in R 0.433 * [taylor]: Taking taylor expansion of 0 in lambda2 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.434 * [taylor]: Taking taylor expansion of 0 in R 0.437 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.437 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.437 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.437 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.437 * [taylor]: Taking taylor expansion of phi1 in phi2 0.437 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.437 * [taylor]: Taking taylor expansion of phi2 in phi2 0.437 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.437 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.437 * [taylor]: Taking taylor expansion of phi1 in phi1 0.437 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.437 * [taylor]: Taking taylor expansion of phi2 in phi1 0.437 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.437 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.437 * [taylor]: Taking taylor expansion of phi1 in phi1 0.437 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.437 * [taylor]: Taking taylor expansion of phi2 in phi1 0.438 * [taylor]: Taking taylor expansion of 0 in phi2 0.440 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.440 * [taylor]: Taking taylor expansion of phi2 in phi2 0.443 * [taylor]: Taking taylor expansion of 0 in phi2 0.447 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.447 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.447 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.447 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.447 * [taylor]: Taking taylor expansion of phi2 in phi2 0.453 * [taylor]: Taking taylor expansion of 0 in phi2 0.453 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.453 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.453 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.453 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.453 * [taylor]: Taking taylor expansion of phi1 in phi2 0.454 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.454 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.454 * [taylor]: Taking taylor expansion of phi2 in phi2 0.454 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.454 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.454 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.454 * [taylor]: Taking taylor expansion of phi1 in phi1 0.454 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.454 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.454 * [taylor]: Taking taylor expansion of phi2 in phi1 0.454 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.454 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.454 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.454 * [taylor]: Taking taylor expansion of phi1 in phi1 0.455 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.455 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.455 * [taylor]: Taking taylor expansion of phi2 in phi1 0.455 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.455 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.455 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.455 * [taylor]: Taking taylor expansion of phi1 in phi2 0.455 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.455 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.455 * [taylor]: Taking taylor expansion of phi2 in phi2 0.457 * [taylor]: Taking taylor expansion of 0 in phi2 0.461 * [taylor]: Taking taylor expansion of 0 in phi2 0.467 * [taylor]: Taking taylor expansion of 0 in phi2 0.467 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.467 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.467 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.467 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.467 * [taylor]: Taking taylor expansion of -1 in phi2 0.467 * [taylor]: Taking taylor expansion of phi1 in phi2 0.467 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.467 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.467 * [taylor]: Taking taylor expansion of -1 in phi2 0.467 * [taylor]: Taking taylor expansion of phi2 in phi2 0.467 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.467 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.467 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.467 * [taylor]: Taking taylor expansion of -1 in phi1 0.467 * [taylor]: Taking taylor expansion of phi1 in phi1 0.468 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.468 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.468 * [taylor]: Taking taylor expansion of -1 in phi1 0.468 * [taylor]: Taking taylor expansion of phi2 in phi1 0.468 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.468 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.468 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.468 * [taylor]: Taking taylor expansion of -1 in phi1 0.468 * [taylor]: Taking taylor expansion of phi1 in phi1 0.468 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.468 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.468 * [taylor]: Taking taylor expansion of -1 in phi1 0.468 * [taylor]: Taking taylor expansion of phi2 in phi1 0.469 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.469 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.469 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.469 * [taylor]: Taking taylor expansion of -1 in phi2 0.469 * [taylor]: Taking taylor expansion of phi1 in phi2 0.469 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.469 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.469 * [taylor]: Taking taylor expansion of -1 in phi2 0.469 * [taylor]: Taking taylor expansion of phi2 in phi2 0.474 * [taylor]: Taking taylor expansion of 0 in phi2 0.478 * [taylor]: Taking taylor expansion of 0 in phi2 0.483 * [taylor]: Taking taylor expansion of 0 in phi2 0.483 * * * [progress]: simplifying candidates 0.484 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 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)) 0.488 * * [simplify]: iteration 0 : 111 enodes (cost 1035 ) 0.503 * * [simplify]: iteration 1 : 199 enodes (cost 1027 ) 0.537 * * [simplify]: iteration 2 : 435 enodes (cost 889 ) 0.675 * * [simplify]: iteration 3 : 826 enodes (cost 887 ) 0.873 * * [simplify]: iteration 4 : 1180 enodes (cost 887 ) 1.393 * * [simplify]: iteration 5 : 2201 enodes (cost 887 ) 2.551 * * [simplify]: iteration done : 5001 enodes (cost 887 ) 2.552 * [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)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (+ (* lambda1 (- lambda2 (* 1/2 lambda1))) 1) (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)) 2.552 * * * [progress]: adding candidates to table 2.814 * * [progress]: iteration 2 / 4 2.814 * * * [progress]: picking best candidate 2.871 * * * * [pick]: Picked # 2.871 * * * [progress]: localizing error 2.905 * * * [progress]: generating rewritten candidates 2.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 2.905 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 2.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 2.912 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 2.919 * * * [progress]: generating series expansions 2.919 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 2.920 * [approximate]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.920 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.920 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.920 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.921 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.921 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.922 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.922 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.922 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in phi2 2.923 * [taylor]: Taking taylor expansion of 0 in lambda1 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in lambda1 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in phi2 2.923 * [taylor]: Taking taylor expansion of 0 in lambda1 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in lambda1 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.924 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.924 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.925 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.925 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.926 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.926 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.927 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.927 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.928 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.929 * [taylor]: Taking taylor expansion of 0 in phi2 2.929 * [taylor]: Taking taylor expansion of 0 in lambda1 2.929 * [taylor]: Taking taylor expansion of 0 in lambda2 2.929 * [taylor]: Taking taylor expansion of 0 in lambda1 2.929 * [taylor]: Taking taylor expansion of 0 in lambda2 2.929 * [taylor]: Taking taylor expansion of 0 in lambda2 2.929 * [taylor]: Taking taylor expansion of 0 in phi2 2.929 * [taylor]: Taking taylor expansion of 0 in lambda1 2.929 * [taylor]: Taking taylor expansion of 0 in lambda2 2.929 * [taylor]: Taking taylor expansion of 0 in lambda1 2.929 * [taylor]: Taking taylor expansion of 0 in lambda2 2.931 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.931 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.931 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.932 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.932 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.933 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.933 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.934 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.934 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.936 * [taylor]: Taking taylor expansion of 0 in phi2 2.936 * [taylor]: Taking taylor expansion of 0 in lambda1 2.936 * [taylor]: Taking taylor expansion of 0 in lambda2 2.936 * [taylor]: Taking taylor expansion of 0 in lambda1 2.936 * [taylor]: Taking taylor expansion of 0 in lambda2 2.936 * [taylor]: Taking taylor expansion of 0 in lambda2 2.936 * [taylor]: Taking taylor expansion of 0 in phi2 2.936 * [taylor]: Taking taylor expansion of 0 in lambda1 2.936 * [taylor]: Taking taylor expansion of 0 in lambda2 2.936 * [taylor]: Taking taylor expansion of 0 in lambda1 2.936 * [taylor]: Taking taylor expansion of 0 in lambda2 2.937 * * * * [progress]: [ 2 / 4 ] generating series at (2) 2.937 * [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 2.937 * [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 2.937 * [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 2.937 * [taylor]: Taking taylor expansion of R in R 2.938 * [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 2.938 * [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 2.938 * [taylor]: Taking taylor expansion of R in lambda2 2.938 * [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 2.938 * [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 2.938 * [taylor]: Taking taylor expansion of R in lambda1 2.938 * [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 2.938 * [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 2.939 * [taylor]: Taking taylor expansion of R in phi2 2.939 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.939 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.939 * [taylor]: Taking taylor expansion of R in phi1 2.939 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.939 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.940 * [taylor]: Taking taylor expansion of R in phi1 2.940 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.940 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.940 * [taylor]: Taking taylor expansion of R in phi2 2.941 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.941 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.941 * [taylor]: Taking taylor expansion of R in lambda1 2.942 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.942 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.942 * [taylor]: Taking taylor expansion of R in lambda2 2.942 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.942 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.943 * [taylor]: Taking taylor expansion of R in R 2.944 * [taylor]: Taking taylor expansion of 0 in phi2 2.944 * [taylor]: Taking taylor expansion of 0 in lambda1 2.944 * [taylor]: Taking taylor expansion of 0 in lambda2 2.944 * [taylor]: Taking taylor expansion of 0 in R 2.944 * [taylor]: Taking taylor expansion of 0 in lambda1 2.944 * [taylor]: Taking taylor expansion of 0 in lambda2 2.944 * [taylor]: Taking taylor expansion of 0 in R 2.945 * [taylor]: Taking taylor expansion of 0 in lambda2 2.945 * [taylor]: Taking taylor expansion of 0 in R 2.945 * [taylor]: Taking taylor expansion of 0 in R 2.947 * [taylor]: Taking taylor expansion of 0 in phi2 2.947 * [taylor]: Taking taylor expansion of 0 in lambda1 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in R 2.947 * [taylor]: Taking taylor expansion of 0 in lambda1 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in R 2.948 * [taylor]: Taking taylor expansion of 0 in lambda1 2.948 * [taylor]: Taking taylor expansion of 0 in lambda2 2.948 * [taylor]: Taking taylor expansion of 0 in R 2.948 * [taylor]: Taking taylor expansion of 0 in lambda2 2.948 * [taylor]: Taking taylor expansion of 0 in R 2.948 * [taylor]: Taking taylor expansion of 0 in lambda2 2.948 * [taylor]: Taking taylor expansion of 0 in R 2.949 * [taylor]: Taking taylor expansion of 0 in lambda2 2.949 * [taylor]: Taking taylor expansion of 0 in R 2.950 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.951 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.951 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.951 * [taylor]: Taking taylor expansion of R in R 2.952 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.952 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.952 * [taylor]: Taking taylor expansion of R in lambda2 2.953 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.953 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.953 * [taylor]: Taking taylor expansion of R in lambda1 2.954 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.954 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.954 * [taylor]: Taking taylor expansion of R in phi2 2.955 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.955 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.955 * [taylor]: Taking taylor expansion of R in phi1 2.956 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.956 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.956 * [taylor]: Taking taylor expansion of R in phi1 2.957 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.957 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.957 * [taylor]: Taking taylor expansion of R in phi2 2.958 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.958 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.958 * [taylor]: Taking taylor expansion of R in lambda1 2.959 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.959 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.959 * [taylor]: Taking taylor expansion of R in lambda2 2.960 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.960 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.960 * [taylor]: Taking taylor expansion of R in R 2.962 * [taylor]: Taking taylor expansion of 0 in phi2 2.962 * [taylor]: Taking taylor expansion of 0 in lambda1 2.962 * [taylor]: Taking taylor expansion of 0 in lambda2 2.962 * [taylor]: Taking taylor expansion of 0 in R 2.965 * [taylor]: Taking taylor expansion of 0 in lambda1 2.965 * [taylor]: Taking taylor expansion of 0 in lambda2 2.965 * [taylor]: Taking taylor expansion of 0 in R 2.966 * [taylor]: Taking taylor expansion of 0 in lambda2 2.966 * [taylor]: Taking taylor expansion of 0 in R 2.966 * [taylor]: Taking taylor expansion of 0 in R 2.968 * [taylor]: Taking taylor expansion of 0 in phi2 2.968 * [taylor]: Taking taylor expansion of 0 in lambda1 2.968 * [taylor]: Taking taylor expansion of 0 in lambda2 2.968 * [taylor]: Taking taylor expansion of 0 in R 2.968 * [taylor]: Taking taylor expansion of 0 in lambda1 2.968 * [taylor]: Taking taylor expansion of 0 in lambda2 2.968 * [taylor]: Taking taylor expansion of 0 in R 2.969 * [taylor]: Taking taylor expansion of 0 in lambda1 2.969 * [taylor]: Taking taylor expansion of 0 in lambda2 2.969 * [taylor]: Taking taylor expansion of 0 in R 2.969 * [taylor]: Taking taylor expansion of 0 in lambda2 2.969 * [taylor]: Taking taylor expansion of 0 in R 2.969 * [taylor]: Taking taylor expansion of 0 in lambda2 2.969 * [taylor]: Taking taylor expansion of 0 in R 2.970 * [taylor]: Taking taylor expansion of 0 in lambda2 2.970 * [taylor]: Taking taylor expansion of 0 in R 2.970 * [taylor]: Taking taylor expansion of 0 in R 2.970 * [taylor]: Taking taylor expansion of 0 in R 2.970 * [taylor]: Taking taylor expansion of 0 in R 2.971 * [taylor]: Taking taylor expansion of 0 in R 2.974 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.974 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.974 * [taylor]: Taking taylor expansion of -1 in R 2.974 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.974 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.975 * [taylor]: Taking taylor expansion of R in R 2.975 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.975 * [taylor]: Taking taylor expansion of -1 in lambda2 2.975 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.975 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.976 * [taylor]: Taking taylor expansion of R in lambda2 2.977 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.977 * [taylor]: Taking taylor expansion of -1 in lambda1 2.977 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.977 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.977 * [taylor]: Taking taylor expansion of R in lambda1 2.978 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.978 * [taylor]: Taking taylor expansion of -1 in phi2 2.978 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.978 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.978 * [taylor]: Taking taylor expansion of R in phi2 2.979 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.979 * [taylor]: Taking taylor expansion of -1 in phi1 2.979 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.979 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.979 * [taylor]: Taking taylor expansion of R in phi1 2.980 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.980 * [taylor]: Taking taylor expansion of -1 in phi1 2.980 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.980 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.980 * [taylor]: Taking taylor expansion of R in phi1 2.981 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.981 * [taylor]: Taking taylor expansion of -1 in phi2 2.981 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.981 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.982 * [taylor]: Taking taylor expansion of R in phi2 2.983 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.983 * [taylor]: Taking taylor expansion of -1 in lambda1 2.983 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.983 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.983 * [taylor]: Taking taylor expansion of R in lambda1 2.984 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.985 * [taylor]: Taking taylor expansion of -1 in lambda2 2.985 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.985 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.985 * [taylor]: Taking taylor expansion of R in lambda2 2.986 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.986 * [taylor]: Taking taylor expansion of -1 in R 2.986 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.986 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.987 * [taylor]: Taking taylor expansion of R in R 2.990 * [taylor]: Taking taylor expansion of 0 in phi2 2.990 * [taylor]: Taking taylor expansion of 0 in lambda1 2.990 * [taylor]: Taking taylor expansion of 0 in lambda2 2.990 * [taylor]: Taking taylor expansion of 0 in R 2.991 * [taylor]: Taking taylor expansion of 0 in lambda1 2.991 * [taylor]: Taking taylor expansion of 0 in lambda2 2.991 * [taylor]: Taking taylor expansion of 0 in R 2.993 * [taylor]: Taking taylor expansion of 0 in lambda2 2.993 * [taylor]: Taking taylor expansion of 0 in R 2.994 * [taylor]: Taking taylor expansion of 0 in R 2.998 * [taylor]: Taking taylor expansion of 0 in phi2 2.998 * [taylor]: Taking taylor expansion of 0 in lambda1 2.998 * [taylor]: Taking taylor expansion of 0 in lambda2 2.998 * [taylor]: Taking taylor expansion of 0 in R 2.998 * [taylor]: Taking taylor expansion of 0 in lambda1 2.998 * [taylor]: Taking taylor expansion of 0 in lambda2 2.998 * [taylor]: Taking taylor expansion of 0 in R 3.000 * [taylor]: Taking taylor expansion of 0 in lambda1 3.000 * [taylor]: Taking taylor expansion of 0 in lambda2 3.000 * [taylor]: Taking taylor expansion of 0 in R 3.000 * [taylor]: Taking taylor expansion of 0 in lambda2 3.000 * [taylor]: Taking taylor expansion of 0 in R 3.000 * [taylor]: Taking taylor expansion of 0 in lambda2 3.000 * [taylor]: Taking taylor expansion of 0 in R 3.002 * [taylor]: Taking taylor expansion of 0 in lambda2 3.002 * [taylor]: Taking taylor expansion of 0 in R 3.002 * [taylor]: Taking taylor expansion of 0 in R 3.002 * [taylor]: Taking taylor expansion of 0 in R 3.002 * [taylor]: Taking taylor expansion of 0 in R 3.004 * [taylor]: Taking taylor expansion of 0 in R 3.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.007 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.008 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.008 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.008 * [taylor]: Taking taylor expansion of phi1 in phi2 3.008 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.008 * [taylor]: Taking taylor expansion of phi2 in phi2 3.008 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.008 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.008 * [taylor]: Taking taylor expansion of phi1 in phi1 3.008 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.008 * [taylor]: Taking taylor expansion of phi2 in phi1 3.008 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.008 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.008 * [taylor]: Taking taylor expansion of phi1 in phi1 3.008 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.008 * [taylor]: Taking taylor expansion of phi2 in phi1 3.008 * [taylor]: Taking taylor expansion of 0 in phi2 3.010 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.010 * [taylor]: Taking taylor expansion of phi2 in phi2 3.013 * [taylor]: Taking taylor expansion of 0 in phi2 3.018 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 3.018 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.018 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.018 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.018 * [taylor]: Taking taylor expansion of phi2 in phi2 3.024 * [taylor]: Taking taylor expansion of 0 in phi2 3.025 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.025 * [taylor]: Taking taylor expansion of phi1 in phi2 3.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.025 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.025 * [taylor]: Taking taylor expansion of phi2 in phi2 3.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.025 * [taylor]: Taking taylor expansion of phi1 in phi1 3.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.026 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.026 * [taylor]: Taking taylor expansion of phi2 in phi1 3.026 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.026 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.026 * [taylor]: Taking taylor expansion of phi1 in phi1 3.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.026 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.026 * [taylor]: Taking taylor expansion of phi2 in phi1 3.026 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.026 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.026 * [taylor]: Taking taylor expansion of phi1 in phi2 3.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.027 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.027 * [taylor]: Taking taylor expansion of phi2 in phi2 3.029 * [taylor]: Taking taylor expansion of 0 in phi2 3.033 * [taylor]: Taking taylor expansion of 0 in phi2 3.038 * [taylor]: Taking taylor expansion of 0 in phi2 3.038 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.038 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.038 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.038 * [taylor]: Taking taylor expansion of -1 in phi2 3.038 * [taylor]: Taking taylor expansion of phi1 in phi2 3.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.038 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.038 * [taylor]: Taking taylor expansion of -1 in phi2 3.038 * [taylor]: Taking taylor expansion of phi2 in phi2 3.039 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.039 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.039 * [taylor]: Taking taylor expansion of -1 in phi1 3.039 * [taylor]: Taking taylor expansion of phi1 in phi1 3.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.039 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.039 * [taylor]: Taking taylor expansion of -1 in phi1 3.039 * [taylor]: Taking taylor expansion of phi2 in phi1 3.039 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.039 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.039 * [taylor]: Taking taylor expansion of -1 in phi1 3.039 * [taylor]: Taking taylor expansion of phi1 in phi1 3.040 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.040 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.040 * [taylor]: Taking taylor expansion of -1 in phi1 3.040 * [taylor]: Taking taylor expansion of phi2 in phi1 3.040 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.040 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.040 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.040 * [taylor]: Taking taylor expansion of -1 in phi2 3.040 * [taylor]: Taking taylor expansion of phi1 in phi2 3.040 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.040 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.040 * [taylor]: Taking taylor expansion of -1 in phi2 3.040 * [taylor]: Taking taylor expansion of phi2 in phi2 3.042 * [taylor]: Taking taylor expansion of 0 in phi2 3.046 * [taylor]: Taking taylor expansion of 0 in phi2 3.055 * [taylor]: Taking taylor expansion of 0 in phi2 3.055 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 3.055 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 3.055 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 3.055 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.055 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.055 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 3.055 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 3.055 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.056 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 3.056 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.056 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.056 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 3.056 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 3.056 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.056 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 3.056 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.056 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.056 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 3.056 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 3.056 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.057 * [taylor]: Taking taylor expansion of 0 in lambda2 3.059 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 3.059 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 3.059 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.063 * [taylor]: Taking taylor expansion of 0 in lambda2 3.069 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 3.069 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 3.069 * [taylor]: Taking taylor expansion of 1/6 in lambda2 3.069 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 3.069 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 3.069 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.077 * [taylor]: Taking taylor expansion of 0 in lambda2 3.077 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 3.077 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 3.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.077 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.077 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.077 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 3.077 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 3.077 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.077 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.078 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 3.078 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.078 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.078 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 3.078 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 3.078 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.078 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.078 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 3.078 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.078 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.078 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.079 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 3.079 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 3.079 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.079 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 3.079 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.079 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.079 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.079 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 3.079 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 3.079 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.079 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.082 * [taylor]: Taking taylor expansion of 0 in lambda2 3.087 * [taylor]: Taking taylor expansion of 0 in lambda2 3.093 * [taylor]: Taking taylor expansion of 0 in lambda2 3.093 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.093 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.094 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.094 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.094 * [taylor]: Taking taylor expansion of -1 in lambda2 3.094 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.094 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.094 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.094 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.094 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.094 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.094 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.094 * [taylor]: Taking taylor expansion of -1 in lambda1 3.094 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.094 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.094 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.094 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.095 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.095 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.095 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.095 * [taylor]: Taking taylor expansion of -1 in lambda1 3.095 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.095 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.095 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.095 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.095 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.095 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.095 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.095 * [taylor]: Taking taylor expansion of -1 in lambda2 3.095 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.095 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.095 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.098 * [taylor]: Taking taylor expansion of 0 in lambda2 3.102 * [taylor]: Taking taylor expansion of 0 in lambda2 3.107 * [taylor]: Taking taylor expansion of 0 in lambda2 3.108 * * * [progress]: simplifying candidates 3.109 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 3.114 * * [simplify]: iteration 0 : 143 enodes (cost 1487 ) 3.137 * * [simplify]: iteration 1 : 281 enodes (cost 1473 ) 3.190 * * [simplify]: iteration 2 : 726 enodes (cost 1270 ) 3.482 * * [simplify]: iteration 3 : 1619 enodes (cost 1200 ) 4.358 * * [simplify]: iteration 4 : 2867 enodes (cost 1200 ) 5.814 * * [simplify]: iteration done : 5001 enodes (cost 1200 ) 5.814 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (pow (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (log (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R)) (log (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R)) (exp (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R)) (pow (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) 3) (* (cbrt (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R))) (cbrt (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R)) (pow (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) 3) (sqrt (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R)) (sqrt (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (sqrt R)) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) R) (* R (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (* (sin lambda1) (sin (- lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (- lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) 5.815 * * * [progress]: adding candidates to table 6.173 * * [progress]: iteration 3 / 4 6.173 * * * [progress]: picking best candidate 6.262 * * * * [pick]: Picked # 6.262 * * * [progress]: localizing error 6.298 * * * [progress]: generating rewritten candidates 6.298 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 6.299 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.300 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 6.308 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2) 6.313 * * * [progress]: generating series expansions 6.313 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 6.314 * [approximate]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 6.314 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.314 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.315 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.316 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 6.316 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 6.316 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 6.317 * [taylor]: Taking taylor expansion of 0 in phi2 6.317 * [taylor]: Taking taylor expansion of 0 in lambda1 6.317 * [taylor]: Taking taylor expansion of 0 in lambda2 6.317 * [taylor]: Taking taylor expansion of 0 in lambda1 6.317 * [taylor]: Taking taylor expansion of 0 in lambda2 6.317 * [taylor]: Taking taylor expansion of 0 in lambda2 6.317 * [taylor]: Taking taylor expansion of 0 in phi2 6.317 * [taylor]: Taking taylor expansion of 0 in lambda1 6.317 * [taylor]: Taking taylor expansion of 0 in lambda2 6.317 * [taylor]: Taking taylor expansion of 0 in lambda1 6.317 * [taylor]: Taking taylor expansion of 0 in lambda2 6.318 * [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 6.318 * [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 6.319 * [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 6.319 * [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 6.320 * [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 6.320 * [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 6.321 * [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 6.321 * [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 6.322 * [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 6.323 * [taylor]: Taking taylor expansion of 0 in phi2 6.323 * [taylor]: Taking taylor expansion of 0 in lambda1 6.323 * [taylor]: Taking taylor expansion of 0 in lambda2 6.323 * [taylor]: Taking taylor expansion of 0 in lambda1 6.323 * [taylor]: Taking taylor expansion of 0 in lambda2 6.323 * [taylor]: Taking taylor expansion of 0 in lambda2 6.323 * [taylor]: Taking taylor expansion of 0 in phi2 6.323 * [taylor]: Taking taylor expansion of 0 in lambda1 6.323 * [taylor]: Taking taylor expansion of 0 in lambda2 6.323 * [taylor]: Taking taylor expansion of 0 in lambda1 6.323 * [taylor]: Taking taylor expansion of 0 in lambda2 6.324 * [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 6.324 * [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 6.325 * [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 6.325 * [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 6.326 * [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 6.326 * [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 6.327 * [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 6.327 * [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 6.328 * [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 6.329 * [taylor]: Taking taylor expansion of 0 in phi2 6.329 * [taylor]: Taking taylor expansion of 0 in lambda1 6.329 * [taylor]: Taking taylor expansion of 0 in lambda2 6.329 * [taylor]: Taking taylor expansion of 0 in lambda1 6.329 * [taylor]: Taking taylor expansion of 0 in lambda2 6.329 * [taylor]: Taking taylor expansion of 0 in lambda2 6.329 * [taylor]: Taking taylor expansion of 0 in phi2 6.329 * [taylor]: Taking taylor expansion of 0 in lambda1 6.329 * [taylor]: Taking taylor expansion of 0 in lambda2 6.329 * [taylor]: Taking taylor expansion of 0 in lambda1 6.329 * [taylor]: Taking taylor expansion of 0 in lambda2 6.330 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.330 * [approximate]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 6.330 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 6.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.331 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 6.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.332 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 6.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.332 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 6.332 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.333 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 6.333 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.334 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in phi2 6.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 6.335 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda1 6.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 6.335 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda2 6.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 6.338 * [taylor]: Taking taylor expansion of 0 in phi2 6.338 * [taylor]: Taking taylor expansion of 0 in lambda1 6.338 * [taylor]: Taking taylor expansion of 0 in lambda2 6.339 * [taylor]: Taking taylor expansion of 0 in lambda1 6.339 * [taylor]: Taking taylor expansion of 0 in lambda2 6.340 * [taylor]: Taking taylor expansion of 0 in lambda2 6.343 * [taylor]: Taking taylor expansion of 0 in phi2 6.343 * [taylor]: Taking taylor expansion of 0 in lambda1 6.343 * [taylor]: Taking taylor expansion of 0 in lambda2 6.343 * [taylor]: Taking taylor expansion of 0 in lambda1 6.344 * [taylor]: Taking taylor expansion of 0 in lambda2 6.344 * [approximate]: Taking taylor expansion of (log (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 6.344 * [taylor]: Taking taylor expansion of (log (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 6.344 * [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 6.345 * [taylor]: Taking taylor expansion of (log (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 6.345 * [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 6.346 * [taylor]: Taking taylor expansion of (log (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 6.346 * [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 6.347 * [taylor]: Taking taylor expansion of (log (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 6.347 * [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 6.348 * [taylor]: Taking taylor expansion of (log (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 6.348 * [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 6.349 * [taylor]: Taking taylor expansion of (log (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 6.349 * [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 6.353 * [taylor]: Taking taylor expansion of (log (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 6.353 * [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 6.354 * [taylor]: Taking taylor expansion of (log (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 6.354 * [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 6.357 * [taylor]: Taking taylor expansion of 0 in phi2 6.357 * [taylor]: Taking taylor expansion of 0 in lambda1 6.357 * [taylor]: Taking taylor expansion of 0 in lambda2 6.359 * [taylor]: Taking taylor expansion of 0 in lambda1 6.359 * [taylor]: Taking taylor expansion of 0 in lambda2 6.360 * [taylor]: Taking taylor expansion of 0 in lambda2 6.363 * [taylor]: Taking taylor expansion of 0 in phi2 6.363 * [taylor]: Taking taylor expansion of 0 in lambda1 6.363 * [taylor]: Taking taylor expansion of 0 in lambda2 6.363 * [taylor]: Taking taylor expansion of 0 in lambda1 6.363 * [taylor]: Taking taylor expansion of 0 in lambda2 6.364 * [approximate]: Taking taylor expansion of (log (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 6.364 * [taylor]: Taking taylor expansion of (log (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 6.364 * [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 6.365 * [taylor]: Taking taylor expansion of (log (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 6.365 * [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 6.366 * [taylor]: Taking taylor expansion of (log (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 6.366 * [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 6.367 * [taylor]: Taking taylor expansion of (log (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 6.367 * [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 6.368 * [taylor]: Taking taylor expansion of (log (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 6.368 * [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 6.370 * [taylor]: Taking taylor expansion of (log (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 6.370 * [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 6.371 * [taylor]: Taking taylor expansion of (log (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 6.371 * [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 6.372 * [taylor]: Taking taylor expansion of (log (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 6.372 * [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 6.374 * [taylor]: Taking taylor expansion of 0 in phi2 6.374 * [taylor]: Taking taylor expansion of 0 in lambda1 6.374 * [taylor]: Taking taylor expansion of 0 in lambda2 6.375 * [taylor]: Taking taylor expansion of 0 in lambda1 6.375 * [taylor]: Taking taylor expansion of 0 in lambda2 6.377 * [taylor]: Taking taylor expansion of 0 in lambda2 6.380 * [taylor]: Taking taylor expansion of 0 in phi2 6.380 * [taylor]: Taking taylor expansion of 0 in lambda1 6.380 * [taylor]: Taking taylor expansion of 0 in lambda2 6.380 * [taylor]: Taking taylor expansion of 0 in lambda1 6.380 * [taylor]: Taking taylor expansion of 0 in lambda2 6.381 * * * * [progress]: [ 3 / 4 ] generating series at (2) 6.381 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 6.381 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in R 6.381 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 6.382 * [taylor]: Taking taylor expansion of R in R 6.382 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in lambda2 6.382 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 6.382 * [taylor]: Taking taylor expansion of R in lambda2 6.382 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in lambda1 6.382 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 6.382 * [taylor]: Taking taylor expansion of R in lambda1 6.382 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi2 6.382 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 6.383 * [taylor]: Taking taylor expansion of R in phi2 6.383 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi1 6.383 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.383 * [taylor]: Taking taylor expansion of R in phi1 6.383 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi1 6.383 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 6.383 * [taylor]: Taking taylor expansion of R in phi1 6.384 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in phi2 6.384 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 6.384 * [taylor]: Taking taylor expansion of R in phi2 6.385 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in lambda1 6.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 6.385 * [taylor]: Taking taylor expansion of R in lambda1 6.385 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in lambda2 6.385 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 6.386 * [taylor]: Taking taylor expansion of R in lambda2 6.386 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in R 6.386 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in R 6.386 * [taylor]: Taking taylor expansion of R in R 6.387 * [taylor]: Taking taylor expansion of 0 in phi2 6.387 * [taylor]: Taking taylor expansion of 0 in lambda1 6.387 * [taylor]: Taking taylor expansion of 0 in lambda2 6.387 * [taylor]: Taking taylor expansion of 0 in R 6.388 * [taylor]: Taking taylor expansion of 0 in lambda1 6.388 * [taylor]: Taking taylor expansion of 0 in lambda2 6.388 * [taylor]: Taking taylor expansion of 0 in R 6.388 * [taylor]: Taking taylor expansion of 0 in lambda2 6.388 * [taylor]: Taking taylor expansion of 0 in R 6.388 * [taylor]: Taking taylor expansion of 0 in R 6.390 * [taylor]: Taking taylor expansion of 0 in phi2 6.390 * [taylor]: Taking taylor expansion of 0 in lambda1 6.390 * [taylor]: Taking taylor expansion of 0 in lambda2 6.390 * [taylor]: Taking taylor expansion of 0 in R 6.390 * [taylor]: Taking taylor expansion of 0 in lambda1 6.390 * [taylor]: Taking taylor expansion of 0 in lambda2 6.390 * [taylor]: Taking taylor expansion of 0 in R 6.391 * [taylor]: Taking taylor expansion of 0 in lambda1 6.391 * [taylor]: Taking taylor expansion of 0 in lambda2 6.391 * [taylor]: Taking taylor expansion of 0 in R 6.391 * [taylor]: Taking taylor expansion of 0 in lambda2 6.391 * [taylor]: Taking taylor expansion of 0 in R 6.391 * [taylor]: Taking taylor expansion of 0 in lambda2 6.391 * [taylor]: Taking taylor expansion of 0 in R 6.392 * [taylor]: Taking taylor expansion of 0 in lambda2 6.392 * [taylor]: Taking taylor expansion of 0 in R 6.393 * [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 6.393 * [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 6.393 * [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 6.394 * [taylor]: Taking taylor expansion of R in R 6.394 * [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 6.394 * [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 6.395 * [taylor]: Taking taylor expansion of R in lambda2 6.395 * [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 6.395 * [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 6.396 * [taylor]: Taking taylor expansion of R in lambda1 6.396 * [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 6.396 * [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 6.397 * [taylor]: Taking taylor expansion of R in phi2 6.397 * [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 6.397 * [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 6.398 * [taylor]: Taking taylor expansion of R in phi1 6.398 * [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 6.398 * [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 6.399 * [taylor]: Taking taylor expansion of R in phi1 6.399 * [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 6.399 * [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 6.400 * [taylor]: Taking taylor expansion of R in phi2 6.400 * [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 6.400 * [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 6.401 * [taylor]: Taking taylor expansion of R in lambda1 6.401 * [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 6.401 * [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 6.402 * [taylor]: Taking taylor expansion of R in lambda2 6.402 * [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 6.402 * [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 6.403 * [taylor]: Taking taylor expansion of R in R 6.405 * [taylor]: Taking taylor expansion of 0 in phi2 6.405 * [taylor]: Taking taylor expansion of 0 in lambda1 6.405 * [taylor]: Taking taylor expansion of 0 in lambda2 6.405 * [taylor]: Taking taylor expansion of 0 in R 6.405 * [taylor]: Taking taylor expansion of 0 in lambda1 6.405 * [taylor]: Taking taylor expansion of 0 in lambda2 6.405 * [taylor]: Taking taylor expansion of 0 in R 6.406 * [taylor]: Taking taylor expansion of 0 in lambda2 6.406 * [taylor]: Taking taylor expansion of 0 in R 6.407 * [taylor]: Taking taylor expansion of 0 in R 6.408 * [taylor]: Taking taylor expansion of 0 in phi2 6.409 * [taylor]: Taking taylor expansion of 0 in lambda1 6.409 * [taylor]: Taking taylor expansion of 0 in lambda2 6.409 * [taylor]: Taking taylor expansion of 0 in R 6.409 * [taylor]: Taking taylor expansion of 0 in lambda1 6.409 * [taylor]: Taking taylor expansion of 0 in lambda2 6.409 * [taylor]: Taking taylor expansion of 0 in R 6.410 * [taylor]: Taking taylor expansion of 0 in lambda1 6.410 * [taylor]: Taking taylor expansion of 0 in lambda2 6.410 * [taylor]: Taking taylor expansion of 0 in R 6.410 * [taylor]: Taking taylor expansion of 0 in lambda2 6.410 * [taylor]: Taking taylor expansion of 0 in R 6.410 * [taylor]: Taking taylor expansion of 0 in lambda2 6.410 * [taylor]: Taking taylor expansion of 0 in R 6.410 * [taylor]: Taking taylor expansion of 0 in lambda2 6.410 * [taylor]: Taking taylor expansion of 0 in R 6.410 * [taylor]: Taking taylor expansion of 0 in R 6.410 * [taylor]: Taking taylor expansion of 0 in R 6.410 * [taylor]: Taking taylor expansion of 0 in R 6.411 * [taylor]: Taking taylor expansion of 0 in R 6.414 * [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 6.414 * [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 6.414 * [taylor]: Taking taylor expansion of -1 in R 6.414 * [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 6.415 * [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 6.415 * [taylor]: Taking taylor expansion of R in R 6.415 * [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 6.416 * [taylor]: Taking taylor expansion of -1 in lambda2 6.416 * [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 6.416 * [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 6.416 * [taylor]: Taking taylor expansion of R in lambda2 6.417 * [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 6.417 * [taylor]: Taking taylor expansion of -1 in lambda1 6.417 * [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 6.417 * [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 6.417 * [taylor]: Taking taylor expansion of R in lambda1 6.418 * [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 6.418 * [taylor]: Taking taylor expansion of -1 in phi2 6.418 * [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 6.418 * [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 6.418 * [taylor]: Taking taylor expansion of R in phi2 6.419 * [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 6.419 * [taylor]: Taking taylor expansion of -1 in phi1 6.419 * [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 6.419 * [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 6.419 * [taylor]: Taking taylor expansion of R in phi1 6.420 * [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 6.420 * [taylor]: Taking taylor expansion of -1 in phi1 6.420 * [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 6.420 * [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 6.420 * [taylor]: Taking taylor expansion of R in phi1 6.421 * [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 6.421 * [taylor]: Taking taylor expansion of -1 in phi2 6.421 * [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 6.421 * [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 6.422 * [taylor]: Taking taylor expansion of R in phi2 6.423 * [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 6.423 * [taylor]: Taking taylor expansion of -1 in lambda1 6.423 * [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 6.423 * [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 6.423 * [taylor]: Taking taylor expansion of R in lambda1 6.424 * [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 6.424 * [taylor]: Taking taylor expansion of -1 in lambda2 6.424 * [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 6.424 * [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 6.425 * [taylor]: Taking taylor expansion of R in lambda2 6.426 * [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 6.426 * [taylor]: Taking taylor expansion of -1 in R 6.426 * [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 6.426 * [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 6.426 * [taylor]: Taking taylor expansion of R in R 6.430 * [taylor]: Taking taylor expansion of 0 in phi2 6.430 * [taylor]: Taking taylor expansion of 0 in lambda1 6.430 * [taylor]: Taking taylor expansion of 0 in lambda2 6.430 * [taylor]: Taking taylor expansion of 0 in R 6.434 * [taylor]: Taking taylor expansion of 0 in lambda1 6.434 * [taylor]: Taking taylor expansion of 0 in lambda2 6.434 * [taylor]: Taking taylor expansion of 0 in R 6.435 * [taylor]: Taking taylor expansion of 0 in lambda2 6.435 * [taylor]: Taking taylor expansion of 0 in R 6.437 * [taylor]: Taking taylor expansion of 0 in R 6.440 * [taylor]: Taking taylor expansion of 0 in phi2 6.440 * [taylor]: Taking taylor expansion of 0 in lambda1 6.440 * [taylor]: Taking taylor expansion of 0 in lambda2 6.440 * [taylor]: Taking taylor expansion of 0 in R 6.440 * [taylor]: Taking taylor expansion of 0 in lambda1 6.440 * [taylor]: Taking taylor expansion of 0 in lambda2 6.440 * [taylor]: Taking taylor expansion of 0 in R 6.442 * [taylor]: Taking taylor expansion of 0 in lambda1 6.442 * [taylor]: Taking taylor expansion of 0 in lambda2 6.442 * [taylor]: Taking taylor expansion of 0 in R 6.442 * [taylor]: Taking taylor expansion of 0 in lambda2 6.442 * [taylor]: Taking taylor expansion of 0 in R 6.442 * [taylor]: Taking taylor expansion of 0 in lambda2 6.442 * [taylor]: Taking taylor expansion of 0 in R 6.444 * [taylor]: Taking taylor expansion of 0 in lambda2 6.444 * [taylor]: Taking taylor expansion of 0 in R 6.444 * [taylor]: Taking taylor expansion of 0 in R 6.444 * [taylor]: Taking taylor expansion of 0 in R 6.444 * [taylor]: Taking taylor expansion of 0 in R 6.446 * [taylor]: Taking taylor expansion of 0 in R 6.449 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2) 6.450 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 6.450 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 6.450 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 6.450 * [taylor]: Taking taylor expansion of phi1 in phi2 6.450 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.450 * [taylor]: Taking taylor expansion of phi2 in phi2 6.450 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 6.450 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 6.450 * [taylor]: Taking taylor expansion of phi1 in phi1 6.450 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 6.450 * [taylor]: Taking taylor expansion of phi2 in phi1 6.450 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 6.450 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 6.450 * [taylor]: Taking taylor expansion of phi1 in phi1 6.450 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 6.450 * [taylor]: Taking taylor expansion of phi2 in phi1 6.450 * [taylor]: Taking taylor expansion of 0 in phi2 6.452 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.452 * [taylor]: Taking taylor expansion of phi2 in phi2 6.455 * [taylor]: Taking taylor expansion of 0 in phi2 6.460 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 6.460 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 6.460 * [taylor]: Taking taylor expansion of 1/6 in phi2 6.460 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 6.460 * [taylor]: Taking taylor expansion of phi2 in phi2 6.466 * [taylor]: Taking taylor expansion of 0 in phi2 6.466 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 6.466 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 6.466 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 6.466 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 6.466 * [taylor]: Taking taylor expansion of phi1 in phi2 6.466 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 6.466 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 6.466 * [taylor]: Taking taylor expansion of phi2 in phi2 6.467 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 6.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 6.467 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 6.467 * [taylor]: Taking taylor expansion of phi1 in phi1 6.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 6.467 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 6.467 * [taylor]: Taking taylor expansion of phi2 in phi1 6.467 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 6.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 6.467 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 6.467 * [taylor]: Taking taylor expansion of phi1 in phi1 6.467 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 6.467 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 6.467 * [taylor]: Taking taylor expansion of phi2 in phi1 6.468 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 6.468 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 6.468 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 6.468 * [taylor]: Taking taylor expansion of phi1 in phi2 6.468 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 6.468 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 6.468 * [taylor]: Taking taylor expansion of phi2 in phi2 6.470 * [taylor]: Taking taylor expansion of 0 in phi2 6.474 * [taylor]: Taking taylor expansion of 0 in phi2 6.479 * [taylor]: Taking taylor expansion of 0 in phi2 6.480 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 6.480 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 6.480 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 6.480 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 6.480 * [taylor]: Taking taylor expansion of -1 in phi2 6.480 * [taylor]: Taking taylor expansion of phi1 in phi2 6.480 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 6.480 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 6.480 * [taylor]: Taking taylor expansion of -1 in phi2 6.480 * [taylor]: Taking taylor expansion of phi2 in phi2 6.481 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 6.481 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 6.481 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 6.481 * [taylor]: Taking taylor expansion of -1 in phi1 6.481 * [taylor]: Taking taylor expansion of phi1 in phi1 6.481 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 6.481 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 6.481 * [taylor]: Taking taylor expansion of -1 in phi1 6.481 * [taylor]: Taking taylor expansion of phi2 in phi1 6.481 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 6.481 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 6.481 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 6.481 * [taylor]: Taking taylor expansion of -1 in phi1 6.481 * [taylor]: Taking taylor expansion of phi1 in phi1 6.481 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 6.482 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 6.482 * [taylor]: Taking taylor expansion of -1 in phi1 6.482 * [taylor]: Taking taylor expansion of phi2 in phi1 6.482 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 6.482 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 6.482 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 6.482 * [taylor]: Taking taylor expansion of -1 in phi2 6.482 * [taylor]: Taking taylor expansion of phi1 in phi2 6.482 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 6.482 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 6.482 * [taylor]: Taking taylor expansion of -1 in phi2 6.482 * [taylor]: Taking taylor expansion of phi2 in phi2 6.484 * [taylor]: Taking taylor expansion of 0 in phi2 6.488 * [taylor]: Taking taylor expansion of 0 in phi2 6.494 * [taylor]: Taking taylor expansion of 0 in phi2 6.494 * * * [progress]: simplifying candidates 6.495 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log 1) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (* (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (+ (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log R)) (log (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (exp (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (* (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (cbrt (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R))) (cbrt (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (* (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (sqrt (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (sqrt (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (exp (log (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt R)) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) 1) (* (exp (log (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (exp (log (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (cbrt (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (sqrt (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (exp (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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))))) (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (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)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 6.500 * * [simplify]: iteration 0 : 128 enodes (cost 1973 ) 6.521 * * [simplify]: iteration 1 : 231 enodes (cost 1910 ) 6.560 * * [simplify]: iteration 2 : 498 enodes (cost 1615 ) 6.706 * * [simplify]: iteration 3 : 888 enodes (cost 1615 ) 6.926 * * [simplify]: iteration 4 : 1164 enodes (cost 1586 ) 7.257 * * [simplify]: iteration 5 : 1845 enodes (cost 1586 ) 8.089 * * [simplify]: iteration 6 : 3801 enodes (cost 1586 ) 8.780 * * [simplify]: iteration done : 5000 enodes (cost 1586 ) 8.781 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (pow (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) 2) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (pow (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) 3) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* 2 (log (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) 0 (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) 3) (sqrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) R) (pow (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) 3) (* (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) 3) (sqrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (sqrt R) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 8.781 * * * [progress]: adding candidates to table 9.149 * * [progress]: iteration 4 / 4 9.150 * * * [progress]: picking best candidate 9.240 * * * * [pick]: Picked # 9.240 * * * [progress]: localizing error 9.280 * * * [progress]: generating rewritten candidates 9.280 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 9.281 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 9.283 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 9.285 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.292 * * * [progress]: generating series expansions 9.292 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 9.293 * [approximate]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 9.293 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.293 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.294 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.294 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.294 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.295 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 9.295 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 9.295 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 9.296 * [taylor]: Taking taylor expansion of 0 in phi2 9.296 * [taylor]: Taking taylor expansion of 0 in lambda1 9.296 * [taylor]: Taking taylor expansion of 0 in lambda2 9.296 * [taylor]: Taking taylor expansion of 0 in lambda1 9.296 * [taylor]: Taking taylor expansion of 0 in lambda2 9.296 * [taylor]: Taking taylor expansion of 0 in lambda2 9.296 * [taylor]: Taking taylor expansion of 0 in phi2 9.296 * [taylor]: Taking taylor expansion of 0 in lambda1 9.296 * [taylor]: Taking taylor expansion of 0 in lambda2 9.296 * [taylor]: Taking taylor expansion of 0 in lambda1 9.296 * [taylor]: Taking taylor expansion of 0 in lambda2 9.297 * [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 9.297 * [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 9.298 * [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 9.298 * [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 9.299 * [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 9.299 * [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 9.299 * [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 9.300 * [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 9.300 * [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 9.301 * [taylor]: Taking taylor expansion of 0 in phi2 9.302 * [taylor]: Taking taylor expansion of 0 in lambda1 9.302 * [taylor]: Taking taylor expansion of 0 in lambda2 9.302 * [taylor]: Taking taylor expansion of 0 in lambda1 9.302 * [taylor]: Taking taylor expansion of 0 in lambda2 9.302 * [taylor]: Taking taylor expansion of 0 in lambda2 9.302 * [taylor]: Taking taylor expansion of 0 in phi2 9.302 * [taylor]: Taking taylor expansion of 0 in lambda1 9.302 * [taylor]: Taking taylor expansion of 0 in lambda2 9.302 * [taylor]: Taking taylor expansion of 0 in lambda1 9.302 * [taylor]: Taking taylor expansion of 0 in lambda2 9.303 * [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 9.303 * [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 9.303 * [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 9.304 * [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 9.304 * [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 9.305 * [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 9.305 * [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 9.306 * [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 9.306 * [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 9.307 * [taylor]: Taking taylor expansion of 0 in phi2 9.307 * [taylor]: Taking taylor expansion of 0 in lambda1 9.307 * [taylor]: Taking taylor expansion of 0 in lambda2 9.307 * [taylor]: Taking taylor expansion of 0 in lambda1 9.307 * [taylor]: Taking taylor expansion of 0 in lambda2 9.307 * [taylor]: Taking taylor expansion of 0 in lambda2 9.307 * [taylor]: Taking taylor expansion of 0 in phi2 9.307 * [taylor]: Taking taylor expansion of 0 in lambda1 9.307 * [taylor]: Taking taylor expansion of 0 in lambda2 9.307 * [taylor]: Taking taylor expansion of 0 in lambda1 9.308 * [taylor]: Taking taylor expansion of 0 in lambda2 9.308 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.309 * [approximate]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 9.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 9.311 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 9.311 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 9.312 * [taylor]: Taking taylor expansion of 0 in phi2 9.312 * [taylor]: Taking taylor expansion of 0 in lambda1 9.312 * [taylor]: Taking taylor expansion of 0 in lambda2 9.312 * [taylor]: Taking taylor expansion of 0 in lambda1 9.312 * [taylor]: Taking taylor expansion of 0 in lambda2 9.312 * [taylor]: Taking taylor expansion of 0 in lambda2 9.312 * [taylor]: Taking taylor expansion of 0 in phi2 9.312 * [taylor]: Taking taylor expansion of 0 in lambda1 9.312 * [taylor]: Taking taylor expansion of 0 in lambda2 9.312 * [taylor]: Taking taylor expansion of 0 in lambda1 9.312 * [taylor]: Taking taylor expansion of 0 in lambda2 9.313 * [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 9.313 * [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 9.314 * [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 9.314 * [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 9.314 * [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 9.315 * [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 9.316 * [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 9.316 * [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 9.317 * [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 9.318 * [taylor]: Taking taylor expansion of 0 in phi2 9.318 * [taylor]: Taking taylor expansion of 0 in lambda1 9.318 * [taylor]: Taking taylor expansion of 0 in lambda2 9.318 * [taylor]: Taking taylor expansion of 0 in lambda1 9.318 * [taylor]: Taking taylor expansion of 0 in lambda2 9.318 * [taylor]: Taking taylor expansion of 0 in lambda2 9.318 * [taylor]: Taking taylor expansion of 0 in phi2 9.318 * [taylor]: Taking taylor expansion of 0 in lambda1 9.318 * [taylor]: Taking taylor expansion of 0 in lambda2 9.318 * [taylor]: Taking taylor expansion of 0 in lambda1 9.318 * [taylor]: Taking taylor expansion of 0 in lambda2 9.319 * [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 9.319 * [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 9.320 * [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 9.320 * [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 9.321 * [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 9.321 * [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 9.322 * [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 9.322 * [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 9.323 * [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 9.324 * [taylor]: Taking taylor expansion of 0 in phi2 9.324 * [taylor]: Taking taylor expansion of 0 in lambda1 9.324 * [taylor]: Taking taylor expansion of 0 in lambda2 9.324 * [taylor]: Taking taylor expansion of 0 in lambda1 9.324 * [taylor]: Taking taylor expansion of 0 in lambda2 9.324 * [taylor]: Taking taylor expansion of 0 in lambda2 9.324 * [taylor]: Taking taylor expansion of 0 in phi2 9.324 * [taylor]: Taking taylor expansion of 0 in lambda1 9.324 * [taylor]: Taking taylor expansion of 0 in lambda2 9.324 * [taylor]: Taking taylor expansion of 0 in lambda1 9.324 * [taylor]: Taking taylor expansion of 0 in lambda2 9.325 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 9.325 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 9.325 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 9.325 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.326 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 9.326 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.327 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 9.327 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.328 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 9.328 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.329 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 9.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.329 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in phi2 9.329 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 9.330 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda1 9.330 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 9.331 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) in lambda2 9.331 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 9.333 * [taylor]: Taking taylor expansion of 0 in phi2 9.333 * [taylor]: Taking taylor expansion of 0 in lambda1 9.333 * [taylor]: Taking taylor expansion of 0 in lambda2 9.334 * [taylor]: Taking taylor expansion of 0 in lambda1 9.334 * [taylor]: Taking taylor expansion of 0 in lambda2 9.335 * [taylor]: Taking taylor expansion of 0 in lambda2 9.337 * [taylor]: Taking taylor expansion of 0 in phi2 9.338 * [taylor]: Taking taylor expansion of 0 in lambda1 9.338 * [taylor]: Taking taylor expansion of 0 in lambda2 9.338 * [taylor]: Taking taylor expansion of 0 in lambda1 9.338 * [taylor]: Taking taylor expansion of 0 in lambda2 9.338 * [approximate]: Taking taylor expansion of (exp (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 9.338 * [taylor]: Taking taylor expansion of (exp (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 9.339 * [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 9.339 * [taylor]: Taking taylor expansion of (exp (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 9.339 * [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 9.340 * [taylor]: Taking taylor expansion of (exp (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 9.340 * [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 9.341 * [taylor]: Taking taylor expansion of (exp (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 9.341 * [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 9.342 * [taylor]: Taking taylor expansion of (exp (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 9.342 * [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 9.343 * [taylor]: Taking taylor expansion of (exp (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 9.343 * [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 9.344 * [taylor]: Taking taylor expansion of (exp (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 9.344 * [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 9.345 * [taylor]: Taking taylor expansion of (exp (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 9.345 * [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 9.348 * [taylor]: Taking taylor expansion of 0 in phi2 9.348 * [taylor]: Taking taylor expansion of 0 in lambda1 9.348 * [taylor]: Taking taylor expansion of 0 in lambda2 9.349 * [taylor]: Taking taylor expansion of 0 in lambda1 9.349 * [taylor]: Taking taylor expansion of 0 in lambda2 9.350 * [taylor]: Taking taylor expansion of 0 in lambda2 9.353 * [taylor]: Taking taylor expansion of 0 in phi2 9.353 * [taylor]: Taking taylor expansion of 0 in lambda1 9.353 * [taylor]: Taking taylor expansion of 0 in lambda2 9.353 * [taylor]: Taking taylor expansion of 0 in lambda1 9.353 * [taylor]: Taking taylor expansion of 0 in lambda2 9.354 * [approximate]: Taking taylor expansion of (exp (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 9.354 * [taylor]: Taking taylor expansion of (exp (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 9.354 * [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 9.355 * [taylor]: Taking taylor expansion of (exp (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 9.355 * [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 9.358 * [taylor]: Taking taylor expansion of (exp (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 9.359 * [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 9.360 * [taylor]: Taking taylor expansion of (exp (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 9.360 * [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 9.360 * [taylor]: Taking taylor expansion of (exp (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 9.360 * [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 9.361 * [taylor]: Taking taylor expansion of (exp (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 9.362 * [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 9.362 * [taylor]: Taking taylor expansion of (exp (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 9.362 * [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 9.363 * [taylor]: Taking taylor expansion of (exp (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 9.363 * [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 9.366 * [taylor]: Taking taylor expansion of 0 in phi2 9.366 * [taylor]: Taking taylor expansion of 0 in lambda1 9.366 * [taylor]: Taking taylor expansion of 0 in lambda2 9.367 * [taylor]: Taking taylor expansion of 0 in lambda1 9.367 * [taylor]: Taking taylor expansion of 0 in lambda2 9.368 * [taylor]: Taking taylor expansion of 0 in lambda2 9.371 * [taylor]: Taking taylor expansion of 0 in phi2 9.371 * [taylor]: Taking taylor expansion of 0 in lambda1 9.371 * [taylor]: Taking taylor expansion of 0 in lambda2 9.371 * [taylor]: Taking taylor expansion of 0 in lambda1 9.371 * [taylor]: Taking taylor expansion of 0 in lambda2 9.372 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.372 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 9.372 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in R 9.372 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 9.372 * [taylor]: Taking taylor expansion of R in R 9.372 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in lambda2 9.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.373 * [taylor]: Taking taylor expansion of R in lambda2 9.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in lambda1 9.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.373 * [taylor]: Taking taylor expansion of R in lambda1 9.373 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi2 9.373 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.374 * [taylor]: Taking taylor expansion of R in phi2 9.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi1 9.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.374 * [taylor]: Taking taylor expansion of R in phi1 9.374 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) in phi1 9.374 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.374 * [taylor]: Taking taylor expansion of R in phi1 9.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in phi2 9.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in phi2 9.375 * [taylor]: Taking taylor expansion of R in phi2 9.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in lambda1 9.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda1 9.376 * [taylor]: Taking taylor expansion of R in lambda1 9.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in lambda2 9.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in lambda2 9.377 * [taylor]: Taking taylor expansion of R in lambda2 9.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) R) in R 9.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))))) in R 9.378 * [taylor]: Taking taylor expansion of R in R 9.378 * [taylor]: Taking taylor expansion of 0 in phi2 9.378 * [taylor]: Taking taylor expansion of 0 in lambda1 9.378 * [taylor]: Taking taylor expansion of 0 in lambda2 9.378 * [taylor]: Taking taylor expansion of 0 in R 9.379 * [taylor]: Taking taylor expansion of 0 in lambda1 9.379 * [taylor]: Taking taylor expansion of 0 in lambda2 9.379 * [taylor]: Taking taylor expansion of 0 in R 9.379 * [taylor]: Taking taylor expansion of 0 in lambda2 9.379 * [taylor]: Taking taylor expansion of 0 in R 9.380 * [taylor]: Taking taylor expansion of 0 in R 9.382 * [taylor]: Taking taylor expansion of 0 in phi2 9.382 * [taylor]: Taking taylor expansion of 0 in lambda1 9.382 * [taylor]: Taking taylor expansion of 0 in lambda2 9.382 * [taylor]: Taking taylor expansion of 0 in R 9.382 * [taylor]: Taking taylor expansion of 0 in lambda1 9.382 * [taylor]: Taking taylor expansion of 0 in lambda2 9.382 * [taylor]: Taking taylor expansion of 0 in R 9.382 * [taylor]: Taking taylor expansion of 0 in lambda1 9.382 * [taylor]: Taking taylor expansion of 0 in lambda2 9.382 * [taylor]: Taking taylor expansion of 0 in R 9.382 * [taylor]: Taking taylor expansion of 0 in lambda2 9.383 * [taylor]: Taking taylor expansion of 0 in R 9.383 * [taylor]: Taking taylor expansion of 0 in lambda2 9.383 * [taylor]: Taking taylor expansion of 0 in R 9.383 * [taylor]: Taking taylor expansion of 0 in lambda2 9.383 * [taylor]: Taking taylor expansion of 0 in R 9.385 * [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 9.385 * [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 9.385 * [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 9.385 * [taylor]: Taking taylor expansion of R in R 9.386 * [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 9.386 * [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 9.386 * [taylor]: Taking taylor expansion of R in lambda2 9.387 * [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 9.387 * [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 9.387 * [taylor]: Taking taylor expansion of R in lambda1 9.388 * [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 9.388 * [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 9.388 * [taylor]: Taking taylor expansion of R in phi2 9.389 * [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 9.389 * [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 9.389 * [taylor]: Taking taylor expansion of R in phi1 9.390 * [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 9.390 * [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 9.390 * [taylor]: Taking taylor expansion of R in phi1 9.391 * [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 9.391 * [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 9.391 * [taylor]: Taking taylor expansion of R in phi2 9.392 * [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 9.392 * [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 9.392 * [taylor]: Taking taylor expansion of R in lambda1 9.393 * [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 9.393 * [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 9.394 * [taylor]: Taking taylor expansion of R in lambda2 9.394 * [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 9.394 * [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 9.394 * [taylor]: Taking taylor expansion of R in R 9.396 * [taylor]: Taking taylor expansion of 0 in phi2 9.396 * [taylor]: Taking taylor expansion of 0 in lambda1 9.396 * [taylor]: Taking taylor expansion of 0 in lambda2 9.396 * [taylor]: Taking taylor expansion of 0 in R 9.397 * [taylor]: Taking taylor expansion of 0 in lambda1 9.397 * [taylor]: Taking taylor expansion of 0 in lambda2 9.397 * [taylor]: Taking taylor expansion of 0 in R 9.398 * [taylor]: Taking taylor expansion of 0 in lambda2 9.398 * [taylor]: Taking taylor expansion of 0 in R 9.398 * [taylor]: Taking taylor expansion of 0 in R 9.400 * [taylor]: Taking taylor expansion of 0 in phi2 9.400 * [taylor]: Taking taylor expansion of 0 in lambda1 9.400 * [taylor]: Taking taylor expansion of 0 in lambda2 9.400 * [taylor]: Taking taylor expansion of 0 in R 9.400 * [taylor]: Taking taylor expansion of 0 in lambda1 9.400 * [taylor]: Taking taylor expansion of 0 in lambda2 9.400 * [taylor]: Taking taylor expansion of 0 in R 9.401 * [taylor]: Taking taylor expansion of 0 in lambda1 9.401 * [taylor]: Taking taylor expansion of 0 in lambda2 9.401 * [taylor]: Taking taylor expansion of 0 in R 9.401 * [taylor]: Taking taylor expansion of 0 in lambda2 9.401 * [taylor]: Taking taylor expansion of 0 in R 9.401 * [taylor]: Taking taylor expansion of 0 in lambda2 9.401 * [taylor]: Taking taylor expansion of 0 in R 9.402 * [taylor]: Taking taylor expansion of 0 in lambda2 9.402 * [taylor]: Taking taylor expansion of 0 in R 9.402 * [taylor]: Taking taylor expansion of 0 in R 9.402 * [taylor]: Taking taylor expansion of 0 in R 9.402 * [taylor]: Taking taylor expansion of 0 in R 9.403 * [taylor]: Taking taylor expansion of 0 in R 9.406 * [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 9.406 * [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 9.406 * [taylor]: Taking taylor expansion of -1 in R 9.406 * [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 9.406 * [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 9.407 * [taylor]: Taking taylor expansion of R in R 9.407 * [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 9.407 * [taylor]: Taking taylor expansion of -1 in lambda2 9.407 * [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 9.407 * [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 9.408 * [taylor]: Taking taylor expansion of R in lambda2 9.408 * [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 9.408 * [taylor]: Taking taylor expansion of -1 in lambda1 9.408 * [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 9.408 * [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 9.409 * [taylor]: Taking taylor expansion of R in lambda1 9.409 * [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 9.409 * [taylor]: Taking taylor expansion of -1 in phi2 9.409 * [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 9.409 * [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 9.410 * [taylor]: Taking taylor expansion of R in phi2 9.410 * [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 9.410 * [taylor]: Taking taylor expansion of -1 in phi1 9.410 * [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 9.410 * [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 9.411 * [taylor]: Taking taylor expansion of R in phi1 9.411 * [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 9.411 * [taylor]: Taking taylor expansion of -1 in phi1 9.411 * [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 9.411 * [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 9.412 * [taylor]: Taking taylor expansion of R in phi1 9.413 * [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 9.413 * [taylor]: Taking taylor expansion of -1 in phi2 9.413 * [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 9.413 * [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 9.413 * [taylor]: Taking taylor expansion of R in phi2 9.414 * [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 9.414 * [taylor]: Taking taylor expansion of -1 in lambda1 9.414 * [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 9.414 * [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 9.415 * [taylor]: Taking taylor expansion of R in lambda1 9.416 * [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 9.416 * [taylor]: Taking taylor expansion of -1 in lambda2 9.416 * [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 9.416 * [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 9.416 * [taylor]: Taking taylor expansion of R in lambda2 9.417 * [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 9.417 * [taylor]: Taking taylor expansion of -1 in R 9.418 * [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 9.418 * [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 9.418 * [taylor]: Taking taylor expansion of R in R 9.421 * [taylor]: Taking taylor expansion of 0 in phi2 9.421 * [taylor]: Taking taylor expansion of 0 in lambda1 9.421 * [taylor]: Taking taylor expansion of 0 in lambda2 9.421 * [taylor]: Taking taylor expansion of 0 in R 9.423 * [taylor]: Taking taylor expansion of 0 in lambda1 9.423 * [taylor]: Taking taylor expansion of 0 in lambda2 9.423 * [taylor]: Taking taylor expansion of 0 in R 9.424 * [taylor]: Taking taylor expansion of 0 in lambda2 9.424 * [taylor]: Taking taylor expansion of 0 in R 9.426 * [taylor]: Taking taylor expansion of 0 in R 9.430 * [taylor]: Taking taylor expansion of 0 in phi2 9.430 * [taylor]: Taking taylor expansion of 0 in lambda1 9.430 * [taylor]: Taking taylor expansion of 0 in lambda2 9.430 * [taylor]: Taking taylor expansion of 0 in R 9.430 * [taylor]: Taking taylor expansion of 0 in lambda1 9.430 * [taylor]: Taking taylor expansion of 0 in lambda2 9.430 * [taylor]: Taking taylor expansion of 0 in R 9.431 * [taylor]: Taking taylor expansion of 0 in lambda1 9.431 * [taylor]: Taking taylor expansion of 0 in lambda2 9.431 * [taylor]: Taking taylor expansion of 0 in R 9.432 * [taylor]: Taking taylor expansion of 0 in lambda2 9.432 * [taylor]: Taking taylor expansion of 0 in R 9.432 * [taylor]: Taking taylor expansion of 0 in lambda2 9.432 * [taylor]: Taking taylor expansion of 0 in R 9.433 * [taylor]: Taking taylor expansion of 0 in lambda2 9.433 * [taylor]: Taking taylor expansion of 0 in R 9.433 * [taylor]: Taking taylor expansion of 0 in R 9.433 * [taylor]: Taking taylor expansion of 0 in R 9.433 * [taylor]: Taking taylor expansion of 0 in R 9.435 * [taylor]: Taking taylor expansion of 0 in R 9.441 * * * [progress]: simplifying candidates 9.442 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (* (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))))) (log (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log 1) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))))) (log (exp (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log (exp 1)) (log (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (* (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))))) (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (* (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (exp (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (cbrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (+ (log (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log R)) (log (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (exp (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (* (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (* (* R R) R)) (* (cbrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (cbrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R))) (cbrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (* (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (sqrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (sqrt (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R)) (* (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) (sqrt R)) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (cbrt R) (cbrt R))) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt R)) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) 1) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* (log (exp (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))))) R) (* (log (exp (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (log (exp 1)) R) (* (cbrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (sqrt (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))))) R) (* (log (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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))))) (exp (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (exp (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)))) (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos 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) 9.448 * * [simplify]: iteration 0 : 107 enodes (cost 2374 ) 9.463 * * [simplify]: iteration 1 : 183 enodes (cost 2277 ) 9.499 * * [simplify]: iteration 2 : 355 enodes (cost 2025 ) 9.586 * * [simplify]: iteration 3 : 533 enodes (cost 2025 ) 9.726 * * [simplify]: iteration 4 : 728 enodes (cost 1929 ) 9.921 * * [simplify]: iteration 5 : 1389 enodes (cost 1927 ) 11.216 * * [simplify]: iteration 6 : 4388 enodes (cost 1927 ) 12.111 * * [simplify]: iteration done : 5000 enodes (cost 1927 ) 12.111 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (log (acos 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lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (pow (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) 3) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (sqrt (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (log (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (exp (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin 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(+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (sqrt R)) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (sqrt R)) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R) (* R (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) R (* (cbrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) R) (* R (sqrt (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2)))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (exp (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) (* R (acos (+ (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (sin phi1) (sin phi2))))) 12.112 * * * [progress]: adding candidates to table 12.423 * [progress]: [Phase 3 of 3] Extracting. 12.423 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #) 12.447 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 12.447 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # #) 12.572 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # #) 12.698 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # #) 12.823 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # #) 12.950 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # #) 13.077 * * * [regime]: Found split indices: #