13.009 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.332 * * * [progress]: [2/2] Setting up program. 0.338 * [progress]: [Phase 2 of 3] Improving. 0.338 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.340 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.342 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.343 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.345 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.345 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.345 * * [progress]: iteration 1 / 4 0.345 * * * [progress]: picking best candidate 0.350 * * * * [pick]: Picked # 0.350 * * * [progress]: localizing error 0.374 * * * [progress]: generating rewritten candidates 0.374 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.378 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.379 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.391 * * * [progress]: generating series expansions 0.391 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.391 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.391 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.391 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.391 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.391 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.392 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.392 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.392 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.392 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.392 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.392 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.392 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.392 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.392 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.392 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.392 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.393 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.393 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.393 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.393 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.393 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.393 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.393 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.393 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.393 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.393 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.394 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.394 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.394 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.394 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.394 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.394 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.394 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.394 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.394 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.394 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.394 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.394 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.394 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.394 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.394 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.395 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.395 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.395 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.395 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.395 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.395 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.395 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.395 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.395 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.395 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.395 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.395 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.395 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.395 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * [taylor]: Taking taylor expansion of 0 in lambda2 0.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.396 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.396 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 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 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.397 * [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 (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [taylor]: Taking taylor expansion of 0 in lambda1 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in lambda1 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in lambda2 0.397 * [taylor]: Taking taylor expansion of 0 in phi2 0.397 * [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 lambda1 0.398 * [taylor]: Taking taylor expansion of 0 in lambda2 0.398 * [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 0.398 * [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 0.398 * [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 0.398 * [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 0.399 * [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 0.399 * [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 0.399 * [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 0.399 * [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 0.399 * [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 0.400 * [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 lambda1 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.400 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [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 0.401 * [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 0.401 * [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 0.401 * [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 0.401 * [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 0.401 * [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 0.402 * [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 0.402 * [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 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of 0 in phi2 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in lambda1 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in phi2 0.403 * [taylor]: Taking taylor expansion of 0 in lambda1 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in lambda1 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.403 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.403 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.403 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.403 * [taylor]: Taking taylor expansion of phi1 in phi2 0.403 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.403 * [taylor]: Taking taylor expansion of phi2 in phi2 0.403 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.403 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.403 * [taylor]: Taking taylor expansion of phi1 in phi1 0.403 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.403 * [taylor]: Taking taylor expansion of phi2 in phi1 0.403 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.403 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.403 * [taylor]: Taking taylor expansion of phi1 in phi1 0.403 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.403 * [taylor]: Taking taylor expansion of phi2 in phi1 0.404 * [taylor]: Taking taylor expansion of 0 in phi2 0.404 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.404 * [taylor]: Taking taylor expansion of phi2 in phi2 0.404 * [taylor]: Taking taylor expansion of 0 in phi2 0.405 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.405 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.405 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.405 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.405 * [taylor]: Taking taylor expansion of phi2 in phi2 0.406 * [taylor]: Taking taylor expansion of 0 in phi2 0.406 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.406 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.406 * [taylor]: Taking taylor expansion of phi1 in phi2 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.406 * [taylor]: Taking taylor expansion of phi2 in phi2 0.406 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.406 * [taylor]: Taking taylor expansion of phi1 in phi1 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.406 * [taylor]: Taking taylor expansion of phi2 in phi1 0.406 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.406 * [taylor]: Taking taylor expansion of phi1 in phi1 0.406 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.406 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.406 * [taylor]: Taking taylor expansion of phi2 in phi1 0.407 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.407 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.407 * [taylor]: Taking taylor expansion of phi1 in phi2 0.407 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.407 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.407 * [taylor]: Taking taylor expansion of phi2 in phi2 0.407 * [taylor]: Taking taylor expansion of 0 in phi2 0.408 * [taylor]: Taking taylor expansion of 0 in phi2 0.409 * [taylor]: Taking taylor expansion of 0 in phi2 0.409 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.409 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.409 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.409 * [taylor]: Taking taylor expansion of -1 in phi2 0.409 * [taylor]: Taking taylor expansion of phi1 in phi2 0.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.409 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.409 * [taylor]: Taking taylor expansion of -1 in phi2 0.409 * [taylor]: Taking taylor expansion of phi2 in phi2 0.409 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.409 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.409 * [taylor]: Taking taylor expansion of -1 in phi1 0.409 * [taylor]: Taking taylor expansion of phi1 in phi1 0.409 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.409 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.409 * [taylor]: Taking taylor expansion of -1 in phi1 0.409 * [taylor]: Taking taylor expansion of phi2 in phi1 0.409 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.410 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.410 * [taylor]: Taking taylor expansion of -1 in phi1 0.410 * [taylor]: Taking taylor expansion of phi1 in phi1 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.410 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.410 * [taylor]: Taking taylor expansion of -1 in phi1 0.410 * [taylor]: Taking taylor expansion of phi2 in phi1 0.410 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.410 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.410 * [taylor]: Taking taylor expansion of -1 in phi2 0.410 * [taylor]: Taking taylor expansion of phi1 in phi2 0.410 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.410 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.410 * [taylor]: Taking taylor expansion of -1 in phi2 0.410 * [taylor]: Taking taylor expansion of phi2 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.412 * [taylor]: Taking taylor expansion of 0 in phi2 0.412 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.412 * [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 0.412 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.412 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.413 * [taylor]: Taking taylor expansion of R in R 0.413 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.413 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.413 * [taylor]: Taking taylor expansion of R in lambda2 0.413 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.413 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.413 * [taylor]: Taking taylor expansion of R in lambda1 0.413 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.413 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.413 * [taylor]: Taking taylor expansion of R in phi2 0.413 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.413 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.413 * [taylor]: Taking taylor expansion of R in phi1 0.413 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.413 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.413 * [taylor]: Taking taylor expansion of R in phi1 0.414 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.414 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.414 * [taylor]: Taking taylor expansion of R in phi2 0.414 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.414 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.414 * [taylor]: Taking taylor expansion of R in lambda1 0.414 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.414 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.414 * [taylor]: Taking taylor expansion of R in lambda2 0.414 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.414 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.415 * [taylor]: Taking taylor expansion of R in R 0.415 * [taylor]: Taking taylor expansion of 0 in phi2 0.415 * [taylor]: Taking taylor expansion of 0 in lambda1 0.415 * [taylor]: Taking taylor expansion of 0 in lambda2 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [taylor]: Taking taylor expansion of 0 in lambda1 0.415 * [taylor]: Taking taylor expansion of 0 in lambda2 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [taylor]: Taking taylor expansion of 0 in lambda2 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.415 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in phi2 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.416 * [taylor]: Taking taylor expansion of 0 in lambda2 0.416 * [taylor]: Taking taylor expansion of 0 in R 0.416 * [taylor]: Taking taylor expansion of 0 in lambda1 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [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 0.418 * [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 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of R in R 0.418 * [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 0.418 * [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 0.418 * [taylor]: Taking taylor expansion of R in lambda2 0.418 * [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 0.418 * [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 0.419 * [taylor]: Taking taylor expansion of R in lambda1 0.419 * [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 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of R in phi2 0.419 * [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 0.419 * [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 0.419 * [taylor]: Taking taylor expansion of R in phi1 0.420 * [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 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of R in phi1 0.420 * [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 0.420 * [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 0.420 * [taylor]: Taking taylor expansion of R in phi2 0.421 * [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 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of R in lambda1 0.421 * [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 0.421 * [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 0.421 * [taylor]: Taking taylor expansion of R in lambda2 0.421 * [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 0.421 * [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 0.422 * [taylor]: Taking taylor expansion of R in R 0.422 * [taylor]: Taking taylor expansion of 0 in phi2 0.422 * [taylor]: Taking taylor expansion of 0 in lambda1 0.422 * [taylor]: Taking taylor expansion of 0 in lambda2 0.422 * [taylor]: Taking taylor expansion of 0 in R 0.423 * [taylor]: Taking taylor expansion of 0 in lambda1 0.423 * [taylor]: Taking taylor expansion of 0 in lambda2 0.423 * [taylor]: Taking taylor expansion of 0 in R 0.423 * [taylor]: Taking taylor expansion of 0 in lambda2 0.423 * [taylor]: Taking taylor expansion of 0 in R 0.423 * [taylor]: Taking taylor expansion of 0 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 0.424 * [taylor]: Taking taylor expansion of 0 in R 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in R 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in R 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in R 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in R 0.425 * [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 R 0.425 * [taylor]: Taking taylor expansion of 0 in R 0.425 * [taylor]: Taking taylor expansion of 0 in R 0.425 * [taylor]: Taking taylor expansion of 0 in R 0.426 * [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 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of -1 in R 0.426 * [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 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of R in R 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of -1 in lambda2 0.426 * [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 0.426 * [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 0.426 * [taylor]: Taking taylor expansion of R in lambda2 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of -1 in lambda1 0.427 * [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 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of R in lambda1 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of -1 in phi2 0.427 * [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 0.427 * [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 0.427 * [taylor]: Taking taylor expansion of R in phi2 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of -1 in phi1 0.428 * [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 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of R in phi1 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of -1 in phi1 0.428 * [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 0.428 * [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 0.428 * [taylor]: Taking taylor expansion of R in phi1 0.429 * [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 0.429 * [taylor]: Taking taylor expansion of -1 in phi2 0.429 * [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 0.429 * [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 0.429 * [taylor]: Taking taylor expansion of R in phi2 0.429 * [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 0.429 * [taylor]: Taking taylor expansion of -1 in lambda1 0.429 * [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 0.429 * [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 0.430 * [taylor]: Taking taylor expansion of R in lambda1 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of -1 in lambda2 0.430 * [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 0.430 * [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 0.430 * [taylor]: Taking taylor expansion of R in lambda2 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of -1 in R 0.431 * [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 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of R in R 0.432 * [taylor]: Taking taylor expansion of 0 in phi2 0.432 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 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 lambda2 0.433 * [taylor]: Taking taylor expansion of 0 in R 0.434 * [taylor]: Taking taylor expansion of 0 in R 0.434 * [taylor]: Taking taylor expansion of 0 in phi2 0.434 * [taylor]: Taking taylor expansion of 0 in lambda1 0.434 * [taylor]: Taking taylor expansion of 0 in lambda2 0.434 * [taylor]: Taking taylor expansion of 0 in R 0.434 * [taylor]: Taking taylor expansion of 0 in lambda1 0.434 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda1 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in lambda2 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.437 * * * [progress]: simplifying candidates 0.438 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos 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) (- (+ 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))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin 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) 0.442 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.446 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.455 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.479 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.482 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin 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) 0.482 * * * [progress]: adding candidates to table 0.572 * * [progress]: iteration 2 / 4 0.572 * * * [progress]: picking best candidate 0.655 * * * * [pick]: Picked # 0.655 * * * [progress]: localizing error 0.687 * * * [progress]: generating rewritten candidates 0.687 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.688 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.694 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.697 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.708 * * * [progress]: generating series expansions 0.708 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.709 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.709 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.709 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.710 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.710 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.710 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.711 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.711 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.711 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.712 * [taylor]: Taking taylor expansion of 0 in phi2 0.712 * [taylor]: Taking taylor expansion of 0 in lambda1 0.712 * [taylor]: Taking taylor expansion of 0 in lambda2 0.712 * [taylor]: Taking taylor expansion of 0 in lambda1 0.712 * [taylor]: Taking taylor expansion of 0 in lambda2 0.712 * [taylor]: Taking taylor expansion of 0 in lambda2 0.712 * [taylor]: Taking taylor expansion of 0 in phi2 0.712 * [taylor]: Taking taylor expansion of 0 in lambda1 0.712 * [taylor]: Taking taylor expansion of 0 in lambda2 0.712 * [taylor]: Taking taylor expansion of 0 in lambda1 0.712 * [taylor]: Taking taylor expansion of 0 in lambda2 0.713 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.713 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.713 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.713 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.714 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.714 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.714 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.715 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.715 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.716 * [taylor]: Taking taylor expansion of 0 in phi2 0.716 * [taylor]: Taking taylor expansion of 0 in lambda1 0.716 * [taylor]: Taking taylor expansion of 0 in lambda2 0.716 * [taylor]: Taking taylor expansion of 0 in lambda1 0.716 * [taylor]: Taking taylor expansion of 0 in lambda2 0.716 * [taylor]: Taking taylor expansion of 0 in lambda2 0.716 * [taylor]: Taking taylor expansion of 0 in phi2 0.716 * [taylor]: Taking taylor expansion of 0 in lambda1 0.716 * [taylor]: Taking taylor expansion of 0 in lambda2 0.716 * [taylor]: Taking taylor expansion of 0 in lambda1 0.716 * [taylor]: Taking taylor expansion of 0 in lambda2 0.717 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.717 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.719 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.719 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.720 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.720 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.721 * [taylor]: Taking taylor expansion of 0 in phi2 0.721 * [taylor]: Taking taylor expansion of 0 in lambda1 0.721 * [taylor]: Taking taylor expansion of 0 in lambda2 0.721 * [taylor]: Taking taylor expansion of 0 in lambda1 0.721 * [taylor]: Taking taylor expansion of 0 in lambda2 0.721 * [taylor]: Taking taylor expansion of 0 in lambda2 0.721 * [taylor]: Taking taylor expansion of 0 in phi2 0.721 * [taylor]: Taking taylor expansion of 0 in lambda1 0.721 * [taylor]: Taking taylor expansion of 0 in lambda2 0.721 * [taylor]: Taking taylor expansion of 0 in lambda1 0.721 * [taylor]: Taking taylor expansion of 0 in lambda2 0.722 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.722 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.722 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.722 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.722 * [taylor]: Taking taylor expansion of phi1 in phi2 0.722 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.722 * [taylor]: Taking taylor expansion of phi2 in phi2 0.722 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.722 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.722 * [taylor]: Taking taylor expansion of phi1 in phi1 0.722 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.722 * [taylor]: Taking taylor expansion of phi2 in phi1 0.722 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.722 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.722 * [taylor]: Taking taylor expansion of phi1 in phi1 0.722 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.722 * [taylor]: Taking taylor expansion of phi2 in phi1 0.722 * [taylor]: Taking taylor expansion of 0 in phi2 0.722 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.722 * [taylor]: Taking taylor expansion of phi2 in phi2 0.723 * [taylor]: Taking taylor expansion of 0 in phi2 0.723 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.723 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.723 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.724 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.724 * [taylor]: Taking taylor expansion of phi2 in phi2 0.724 * [taylor]: Taking taylor expansion of 0 in phi2 0.725 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.725 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.725 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.725 * [taylor]: Taking taylor expansion of phi1 in phi2 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.725 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.725 * [taylor]: Taking taylor expansion of phi2 in phi2 0.725 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.725 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.725 * [taylor]: Taking taylor expansion of phi1 in phi1 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.725 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.725 * [taylor]: Taking taylor expansion of phi2 in phi1 0.725 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.725 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.725 * [taylor]: Taking taylor expansion of phi1 in phi1 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.725 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.725 * [taylor]: Taking taylor expansion of phi2 in phi1 0.725 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.725 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.725 * [taylor]: Taking taylor expansion of phi1 in phi2 0.725 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.726 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.726 * [taylor]: Taking taylor expansion of phi2 in phi2 0.726 * [taylor]: Taking taylor expansion of 0 in phi2 0.727 * [taylor]: Taking taylor expansion of 0 in phi2 0.728 * [taylor]: Taking taylor expansion of 0 in phi2 0.728 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.728 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.728 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.728 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.728 * [taylor]: Taking taylor expansion of -1 in phi2 0.728 * [taylor]: Taking taylor expansion of phi1 in phi2 0.728 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.728 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.728 * [taylor]: Taking taylor expansion of -1 in phi2 0.728 * [taylor]: Taking taylor expansion of phi2 in phi2 0.728 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.728 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.728 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.728 * [taylor]: Taking taylor expansion of -1 in phi1 0.728 * [taylor]: Taking taylor expansion of phi1 in phi1 0.728 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.728 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.728 * [taylor]: Taking taylor expansion of -1 in phi1 0.728 * [taylor]: Taking taylor expansion of phi2 in phi1 0.728 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.728 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.728 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.728 * [taylor]: Taking taylor expansion of -1 in phi1 0.728 * [taylor]: Taking taylor expansion of phi1 in phi1 0.728 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.728 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.728 * [taylor]: Taking taylor expansion of -1 in phi1 0.728 * [taylor]: Taking taylor expansion of phi2 in phi1 0.729 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.729 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.729 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.729 * [taylor]: Taking taylor expansion of -1 in phi2 0.729 * [taylor]: Taking taylor expansion of phi1 in phi2 0.729 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.729 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.729 * [taylor]: Taking taylor expansion of -1 in phi2 0.729 * [taylor]: Taking taylor expansion of phi2 in phi2 0.729 * [taylor]: Taking taylor expansion of 0 in phi2 0.730 * [taylor]: Taking taylor expansion of 0 in phi2 0.731 * [taylor]: Taking taylor expansion of 0 in phi2 0.731 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.732 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.732 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.732 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.732 * [taylor]: Taking taylor expansion of R in R 0.732 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.732 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.732 * [taylor]: Taking taylor expansion of R in lambda2 0.732 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.732 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.733 * [taylor]: Taking taylor expansion of R in lambda1 0.733 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.733 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.733 * [taylor]: Taking taylor expansion of R in phi2 0.733 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.733 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.733 * [taylor]: Taking taylor expansion of R in phi1 0.733 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.733 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.734 * [taylor]: Taking taylor expansion of R in phi1 0.734 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.734 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.734 * [taylor]: Taking taylor expansion of R in phi2 0.734 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.734 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.735 * [taylor]: Taking taylor expansion of R in lambda1 0.735 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.735 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.735 * [taylor]: Taking taylor expansion of R in lambda2 0.736 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.736 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.736 * [taylor]: Taking taylor expansion of R in R 0.736 * [taylor]: Taking taylor expansion of 0 in phi2 0.736 * [taylor]: Taking taylor expansion of 0 in lambda1 0.736 * [taylor]: Taking taylor expansion of 0 in lambda2 0.737 * [taylor]: Taking taylor expansion of 0 in R 0.737 * [taylor]: Taking taylor expansion of 0 in lambda1 0.737 * [taylor]: Taking taylor expansion of 0 in lambda2 0.737 * [taylor]: Taking taylor expansion of 0 in R 0.737 * [taylor]: Taking taylor expansion of 0 in lambda2 0.737 * [taylor]: Taking taylor expansion of 0 in R 0.737 * [taylor]: Taking taylor expansion of 0 in R 0.738 * [taylor]: Taking taylor expansion of 0 in phi2 0.738 * [taylor]: Taking taylor expansion of 0 in lambda1 0.738 * [taylor]: Taking taylor expansion of 0 in lambda2 0.738 * [taylor]: Taking taylor expansion of 0 in R 0.738 * [taylor]: Taking taylor expansion of 0 in lambda1 0.738 * [taylor]: Taking taylor expansion of 0 in lambda2 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.739 * [taylor]: Taking taylor expansion of 0 in lambda1 0.739 * [taylor]: Taking taylor expansion of 0 in lambda2 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.739 * [taylor]: Taking taylor expansion of 0 in lambda2 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.739 * [taylor]: Taking taylor expansion of 0 in lambda2 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.739 * [taylor]: Taking taylor expansion of 0 in lambda2 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.740 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.740 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.740 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.740 * [taylor]: Taking taylor expansion of R in R 0.741 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.741 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.741 * [taylor]: Taking taylor expansion of R in lambda2 0.742 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.742 * [taylor]: Taking taylor expansion of R in lambda1 0.742 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.743 * [taylor]: Taking taylor expansion of R in phi2 0.743 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.743 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.743 * [taylor]: Taking taylor expansion of R in phi1 0.744 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.744 * [taylor]: Taking taylor expansion of R in phi1 0.745 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.745 * [taylor]: Taking taylor expansion of R in phi2 0.745 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.746 * [taylor]: Taking taylor expansion of R in lambda1 0.746 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.746 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.747 * [taylor]: Taking taylor expansion of R in lambda2 0.747 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.747 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.747 * [taylor]: Taking taylor expansion of R in R 0.749 * [taylor]: Taking taylor expansion of 0 in phi2 0.749 * [taylor]: Taking taylor expansion of 0 in lambda1 0.749 * [taylor]: Taking taylor expansion of 0 in lambda2 0.749 * [taylor]: Taking taylor expansion of 0 in R 0.749 * [taylor]: Taking taylor expansion of 0 in lambda1 0.749 * [taylor]: Taking taylor expansion of 0 in lambda2 0.749 * [taylor]: Taking taylor expansion of 0 in R 0.749 * [taylor]: Taking taylor expansion of 0 in lambda2 0.750 * [taylor]: Taking taylor expansion of 0 in R 0.750 * [taylor]: Taking taylor expansion of 0 in R 0.751 * [taylor]: Taking taylor expansion of 0 in phi2 0.751 * [taylor]: Taking taylor expansion of 0 in lambda1 0.751 * [taylor]: Taking taylor expansion of 0 in lambda2 0.751 * [taylor]: Taking taylor expansion of 0 in R 0.751 * [taylor]: Taking taylor expansion of 0 in lambda1 0.751 * [taylor]: Taking taylor expansion of 0 in lambda2 0.751 * [taylor]: Taking taylor expansion of 0 in R 0.751 * [taylor]: Taking taylor expansion of 0 in lambda1 0.751 * [taylor]: Taking taylor expansion of 0 in lambda2 0.751 * [taylor]: Taking taylor expansion of 0 in R 0.751 * [taylor]: Taking taylor expansion of 0 in lambda2 0.751 * [taylor]: Taking taylor expansion of 0 in R 0.751 * [taylor]: Taking taylor expansion of 0 in lambda2 0.751 * [taylor]: Taking taylor expansion of 0 in R 0.752 * [taylor]: Taking taylor expansion of 0 in lambda2 0.752 * [taylor]: Taking taylor expansion of 0 in R 0.752 * [taylor]: Taking taylor expansion of 0 in R 0.752 * [taylor]: Taking taylor expansion of 0 in R 0.752 * [taylor]: Taking taylor expansion of 0 in R 0.752 * [taylor]: Taking taylor expansion of 0 in R 0.754 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.754 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.754 * [taylor]: Taking taylor expansion of -1 in R 0.754 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.754 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.754 * [taylor]: Taking taylor expansion of R in R 0.755 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.755 * [taylor]: Taking taylor expansion of -1 in lambda2 0.755 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.755 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.755 * [taylor]: Taking taylor expansion of R in lambda2 0.755 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.756 * [taylor]: Taking taylor expansion of -1 in lambda1 0.756 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.756 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.756 * [taylor]: Taking taylor expansion of R in lambda1 0.756 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.756 * [taylor]: Taking taylor expansion of -1 in phi2 0.756 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.756 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.757 * [taylor]: Taking taylor expansion of R in phi2 0.757 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.757 * [taylor]: Taking taylor expansion of -1 in phi1 0.757 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.757 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.757 * [taylor]: Taking taylor expansion of R in phi1 0.758 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.758 * [taylor]: Taking taylor expansion of -1 in phi1 0.758 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.758 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.758 * [taylor]: Taking taylor expansion of R in phi1 0.759 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.759 * [taylor]: Taking taylor expansion of -1 in phi2 0.759 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.759 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.760 * [taylor]: Taking taylor expansion of R in phi2 0.760 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.760 * [taylor]: Taking taylor expansion of -1 in lambda1 0.760 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.760 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.761 * [taylor]: Taking taylor expansion of R in lambda1 0.761 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.761 * [taylor]: Taking taylor expansion of -1 in lambda2 0.761 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.761 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.762 * [taylor]: Taking taylor expansion of R in lambda2 0.763 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.763 * [taylor]: Taking taylor expansion of -1 in R 0.763 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.763 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.763 * [taylor]: Taking taylor expansion of R in R 0.765 * [taylor]: Taking taylor expansion of 0 in phi2 0.765 * [taylor]: Taking taylor expansion of 0 in lambda1 0.765 * [taylor]: Taking taylor expansion of 0 in lambda2 0.765 * [taylor]: Taking taylor expansion of 0 in R 0.766 * [taylor]: Taking taylor expansion of 0 in lambda1 0.766 * [taylor]: Taking taylor expansion of 0 in lambda2 0.766 * [taylor]: Taking taylor expansion of 0 in R 0.767 * [taylor]: Taking taylor expansion of 0 in lambda2 0.767 * [taylor]: Taking taylor expansion of 0 in R 0.767 * [taylor]: Taking taylor expansion of 0 in R 0.769 * [taylor]: Taking taylor expansion of 0 in phi2 0.769 * [taylor]: Taking taylor expansion of 0 in lambda1 0.769 * [taylor]: Taking taylor expansion of 0 in lambda2 0.769 * [taylor]: Taking taylor expansion of 0 in R 0.769 * [taylor]: Taking taylor expansion of 0 in lambda1 0.769 * [taylor]: Taking taylor expansion of 0 in lambda2 0.769 * [taylor]: Taking taylor expansion of 0 in R 0.770 * [taylor]: Taking taylor expansion of 0 in lambda1 0.770 * [taylor]: Taking taylor expansion of 0 in lambda2 0.770 * [taylor]: Taking taylor expansion of 0 in R 0.770 * [taylor]: Taking taylor expansion of 0 in lambda2 0.770 * [taylor]: Taking taylor expansion of 0 in R 0.770 * [taylor]: Taking taylor expansion of 0 in lambda2 0.770 * [taylor]: Taking taylor expansion of 0 in R 0.771 * [taylor]: Taking taylor expansion of 0 in lambda2 0.771 * [taylor]: Taking taylor expansion of 0 in R 0.771 * [taylor]: Taking taylor expansion of 0 in R 0.771 * [taylor]: Taking taylor expansion of 0 in R 0.771 * [taylor]: Taking taylor expansion of 0 in R 0.772 * [taylor]: Taking taylor expansion of 0 in R 0.775 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.776 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.776 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 0.776 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.776 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.776 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 0.776 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.776 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.776 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 0.776 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 0.776 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 0.776 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.776 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.776 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.776 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 0.776 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.776 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.776 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.776 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.776 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 0.776 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.776 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.776 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 0.776 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.776 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.776 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 0.776 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.776 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.776 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.776 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.776 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.776 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.776 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.776 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.776 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.777 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.777 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 0.777 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.777 * [taylor]: Taking taylor expansion of phi1 in phi2 0.777 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 0.777 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.777 * [taylor]: Taking taylor expansion of phi2 in phi2 0.777 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 0.777 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 0.777 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.777 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.777 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.777 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.777 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 0.777 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.777 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.777 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.777 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.777 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.777 * [taylor]: Taking taylor expansion of phi1 in phi1 0.777 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.777 * [taylor]: Taking taylor expansion of phi2 in phi1 0.777 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 0.777 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 0.777 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.777 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 0.777 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.777 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 0.777 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.777 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.777 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.777 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.777 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.777 * [taylor]: Taking taylor expansion of phi1 in phi1 0.777 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.777 * [taylor]: Taking taylor expansion of phi2 in phi1 0.777 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 0.777 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 0.778 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.778 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 0.778 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.778 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 0.778 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.778 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.778 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.778 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.778 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 0.778 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.778 * [taylor]: Taking taylor expansion of phi2 in phi2 0.778 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 0.778 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 0.778 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.778 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.779 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.779 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.779 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 0.779 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.779 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.779 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.779 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.779 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 0.779 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.779 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.779 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.779 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.779 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.779 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.779 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.779 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.779 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.779 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.780 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.780 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.781 * [taylor]: Taking taylor expansion of 0 in phi2 0.781 * [taylor]: Taking taylor expansion of 0 in lambda1 0.781 * [taylor]: Taking taylor expansion of 0 in lambda2 0.782 * [taylor]: Taking taylor expansion of 0 in lambda1 0.782 * [taylor]: Taking taylor expansion of 0 in lambda2 0.782 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.782 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.784 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 0.784 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 0.784 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 0.784 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.784 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 0.784 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 0.784 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.784 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 0.784 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.784 * [taylor]: Taking taylor expansion of phi2 in phi2 0.784 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 0.784 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.784 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 0.784 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.784 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 0.784 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.784 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.784 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 0.784 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.784 * [taylor]: Taking taylor expansion of phi2 in phi2 0.784 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.784 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.785 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 0.785 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 0.785 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 0.785 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.785 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.785 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.785 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.785 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.785 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.785 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 0.785 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.785 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.785 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.785 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.785 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.785 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.785 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 0.785 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 0.785 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.785 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.785 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.785 * [taylor]: Taking taylor expansion of 0 in lambda1 0.785 * [taylor]: Taking taylor expansion of 0 in lambda2 0.787 * [taylor]: Taking taylor expansion of (neg (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 0.787 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 0.787 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 0.787 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.787 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 0.787 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 0.787 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.787 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 0.787 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.787 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 0.787 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.787 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.787 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.787 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.787 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.787 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.787 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos lambda2))) in lambda2 0.787 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 0.787 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.787 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 0.787 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.788 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.788 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 0.788 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.788 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.788 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.788 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 0.788 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.788 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.788 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.788 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 0.788 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.788 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.788 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.788 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.788 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.788 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.788 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.788 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 0.788 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 0.788 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.788 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.788 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 0.788 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.788 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.788 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 0.788 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.788 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.788 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.789 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 0.789 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.789 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.789 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.789 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 0.789 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.789 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.789 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.789 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.789 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.789 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.789 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.789 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 0.789 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 0.789 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.789 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.789 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 0.789 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.789 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.789 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 0.789 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.789 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.789 * [taylor]: Taking taylor expansion of phi2 in phi2 0.789 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 0.789 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.789 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.789 * [taylor]: Taking taylor expansion of phi1 in phi2 0.789 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 0.789 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 0.789 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 0.789 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.789 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.789 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 0.790 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.790 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.790 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 0.790 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.790 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 0.790 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.790 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.790 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.790 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.790 * [taylor]: Taking taylor expansion of phi2 in phi1 0.790 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.790 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.790 * [taylor]: Taking taylor expansion of phi1 in phi1 0.790 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 0.790 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 0.790 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 0.790 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.790 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.790 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 0.790 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.790 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.790 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 0.790 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.790 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.790 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 0.790 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.790 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.791 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 0.791 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.791 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.791 * [taylor]: Taking taylor expansion of phi2 in phi1 0.791 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 0.791 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.791 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.791 * [taylor]: Taking taylor expansion of phi1 in phi1 0.791 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 0.791 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 0.791 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 0.791 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.791 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.791 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 0.791 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.791 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.791 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 0.791 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 0.791 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.791 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.791 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 0.791 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.791 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.792 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 0.792 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.792 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.792 * [taylor]: Taking taylor expansion of phi2 in phi2 0.792 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 0.792 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.792 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.792 * [taylor]: Taking taylor expansion of phi1 in phi2 0.792 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 0.792 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 0.792 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 0.792 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.793 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.793 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 0.793 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.793 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.793 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 0.793 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 0.793 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.793 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.793 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 0.793 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.793 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.794 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 0.794 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.794 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.794 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.794 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 0.794 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.794 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.794 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.794 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 0.794 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 0.794 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.794 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.794 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.794 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.794 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 0.794 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 0.794 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.794 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.794 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 0.794 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.794 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.795 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 0.795 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.795 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.795 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.795 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 0.795 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.795 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.795 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.796 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 0.796 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 0.796 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.796 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.796 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.796 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.796 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.796 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.796 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 0.796 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 0.796 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.796 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.796 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 0.796 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.796 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.798 * [taylor]: Taking taylor expansion of 0 in phi2 0.798 * [taylor]: Taking taylor expansion of 0 in lambda1 0.798 * [taylor]: Taking taylor expansion of 0 in lambda2 0.800 * [taylor]: Taking taylor expansion of 0 in lambda1 0.800 * [taylor]: Taking taylor expansion of 0 in lambda2 0.801 * [taylor]: Taking taylor expansion of 0 in lambda2 0.804 * [taylor]: Taking taylor expansion of 0 in phi2 0.804 * [taylor]: Taking taylor expansion of 0 in lambda1 0.804 * [taylor]: Taking taylor expansion of 0 in lambda2 0.804 * [taylor]: Taking taylor expansion of 0 in lambda1 0.804 * [taylor]: Taking taylor expansion of 0 in lambda2 0.805 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.805 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 0.805 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.805 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.805 * [taylor]: Taking taylor expansion of -1 in lambda2 0.805 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.805 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 0.805 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.805 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.805 * [taylor]: Taking taylor expansion of -1 in lambda2 0.805 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.805 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 0.805 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 0.805 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 0.805 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.805 * [taylor]: Taking taylor expansion of -1 in lambda2 0.805 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.805 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 0.805 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.805 * [taylor]: Taking taylor expansion of -1 in lambda2 0.805 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.805 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.805 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.805 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.805 * [taylor]: Taking taylor expansion of -1 in lambda2 0.805 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.805 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.805 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.805 * [taylor]: Taking taylor expansion of -1 in lambda2 0.805 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.806 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.806 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.806 * [taylor]: Taking taylor expansion of -1 in lambda1 0.806 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.806 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.806 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.806 * [taylor]: Taking taylor expansion of -1 in lambda1 0.806 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.806 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 0.806 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 0.806 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.806 * [taylor]: Taking taylor expansion of -1 in lambda1 0.806 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 0.806 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.806 * [taylor]: Taking taylor expansion of -1 in lambda1 0.806 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.806 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.806 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.806 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.806 * [taylor]: Taking taylor expansion of -1 in lambda1 0.806 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.806 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.806 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.806 * [taylor]: Taking taylor expansion of -1 in lambda1 0.806 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.806 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.806 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.806 * [taylor]: Taking taylor expansion of -1 in phi2 0.806 * [taylor]: Taking taylor expansion of phi1 in phi2 0.806 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 0.806 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.806 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.806 * [taylor]: Taking taylor expansion of -1 in phi2 0.807 * [taylor]: Taking taylor expansion of phi2 in phi2 0.807 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 0.807 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 0.807 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 0.807 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 0.807 * [taylor]: Taking taylor expansion of -1 in phi2 0.807 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.807 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 0.807 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 0.807 * [taylor]: Taking taylor expansion of -1 in phi2 0.807 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.807 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 0.807 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 0.807 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 0.807 * [taylor]: Taking taylor expansion of -1 in phi2 0.807 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.807 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 0.807 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 0.807 * [taylor]: Taking taylor expansion of -1 in phi2 0.807 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.807 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 0.807 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.807 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.807 * [taylor]: Taking taylor expansion of -1 in phi1 0.807 * [taylor]: Taking taylor expansion of phi1 in phi1 0.807 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 0.807 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.807 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.807 * [taylor]: Taking taylor expansion of -1 in phi1 0.807 * [taylor]: Taking taylor expansion of phi2 in phi1 0.807 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 0.807 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 0.807 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 0.807 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 0.807 * [taylor]: Taking taylor expansion of -1 in phi1 0.807 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.808 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 0.808 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 0.808 * [taylor]: Taking taylor expansion of -1 in phi1 0.808 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.808 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 0.808 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 0.808 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 0.808 * [taylor]: Taking taylor expansion of -1 in phi1 0.808 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.808 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 0.808 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 0.808 * [taylor]: Taking taylor expansion of -1 in phi1 0.808 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.808 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 0.808 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.808 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.808 * [taylor]: Taking taylor expansion of -1 in phi1 0.808 * [taylor]: Taking taylor expansion of phi1 in phi1 0.808 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 0.808 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.808 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.808 * [taylor]: Taking taylor expansion of -1 in phi1 0.808 * [taylor]: Taking taylor expansion of phi2 in phi1 0.808 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 0.808 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 0.808 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 0.808 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 0.808 * [taylor]: Taking taylor expansion of -1 in phi1 0.808 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.808 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 0.808 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 0.808 * [taylor]: Taking taylor expansion of -1 in phi1 0.808 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.809 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 0.809 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 0.809 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 0.809 * [taylor]: Taking taylor expansion of -1 in phi1 0.809 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.809 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 0.809 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 0.809 * [taylor]: Taking taylor expansion of -1 in phi1 0.809 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.810 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 0.810 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.810 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.810 * [taylor]: Taking taylor expansion of -1 in phi2 0.810 * [taylor]: Taking taylor expansion of phi1 in phi2 0.810 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 0.810 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.810 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.810 * [taylor]: Taking taylor expansion of -1 in phi2 0.810 * [taylor]: Taking taylor expansion of phi2 in phi2 0.810 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 0.810 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 0.810 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 0.810 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 0.810 * [taylor]: Taking taylor expansion of -1 in phi2 0.810 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.810 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 0.810 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 0.810 * [taylor]: Taking taylor expansion of -1 in phi2 0.810 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.810 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 0.810 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 0.810 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 0.810 * [taylor]: Taking taylor expansion of -1 in phi2 0.810 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.810 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 0.810 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 0.810 * [taylor]: Taking taylor expansion of -1 in phi2 0.810 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.811 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 0.811 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.811 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.811 * [taylor]: Taking taylor expansion of -1 in lambda1 0.812 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.812 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 0.812 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.812 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.812 * [taylor]: Taking taylor expansion of -1 in lambda1 0.812 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.812 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 0.812 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 0.812 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 0.812 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.812 * [taylor]: Taking taylor expansion of -1 in lambda1 0.812 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.812 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 0.812 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.812 * [taylor]: Taking taylor expansion of -1 in lambda1 0.812 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.812 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 0.812 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.812 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.812 * [taylor]: Taking taylor expansion of -1 in lambda1 0.812 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.812 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.812 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.812 * [taylor]: Taking taylor expansion of -1 in lambda1 0.812 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.813 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 0.813 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.813 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.813 * [taylor]: Taking taylor expansion of -1 in lambda2 0.813 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.813 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 0.813 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.813 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.813 * [taylor]: Taking taylor expansion of -1 in lambda2 0.813 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.813 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 0.813 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 0.813 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 0.813 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.813 * [taylor]: Taking taylor expansion of -1 in lambda2 0.813 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.813 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 0.814 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.814 * [taylor]: Taking taylor expansion of -1 in lambda2 0.814 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.814 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 0.814 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.814 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.814 * [taylor]: Taking taylor expansion of -1 in lambda2 0.814 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.814 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.814 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.814 * [taylor]: Taking taylor expansion of -1 in lambda2 0.814 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.816 * [taylor]: Taking taylor expansion of 0 in phi2 0.816 * [taylor]: Taking taylor expansion of 0 in lambda1 0.816 * [taylor]: Taking taylor expansion of 0 in lambda2 0.818 * [taylor]: Taking taylor expansion of 0 in lambda1 0.818 * [taylor]: Taking taylor expansion of 0 in lambda2 0.819 * [taylor]: Taking taylor expansion of 0 in lambda2 0.822 * [taylor]: Taking taylor expansion of 0 in phi2 0.822 * [taylor]: Taking taylor expansion of 0 in lambda1 0.822 * [taylor]: Taking taylor expansion of 0 in lambda2 0.822 * [taylor]: Taking taylor expansion of 0 in lambda1 0.822 * [taylor]: Taking taylor expansion of 0 in lambda2 0.823 * * * [progress]: simplifying candidates 0.824 * [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))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos 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) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos 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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 0.831 * * [simplify]: iteration 0 : 486 enodes (cost 1308 ) 0.840 * * [simplify]: iteration 1 : 2165 enodes (cost 1096 ) 0.881 * * [simplify]: iteration 2 : 5001 enodes (cost 1095 ) 0.886 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 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)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (* -1/2 (+ (pow phi1 2) (pow phi2 2))) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 0.887 * * * [progress]: adding candidates to table 0.981 * * [progress]: iteration 3 / 4 0.981 * * * [progress]: picking best candidate 1.090 * * * * [pick]: Picked # 1.090 * * * [progress]: localizing error 1.125 * * * [progress]: generating rewritten candidates 1.125 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.127 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.129 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.131 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.136 * * * [progress]: generating series expansions 1.136 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.137 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.137 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.137 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.137 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.138 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.139 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.139 * [taylor]: Taking taylor expansion of 0 in phi2 1.139 * [taylor]: Taking taylor expansion of 0 in lambda1 1.139 * [taylor]: Taking taylor expansion of 0 in lambda2 1.139 * [taylor]: Taking taylor expansion of 0 in lambda1 1.139 * [taylor]: Taking taylor expansion of 0 in lambda2 1.139 * [taylor]: Taking taylor expansion of 0 in lambda2 1.139 * [taylor]: Taking taylor expansion of 0 in phi2 1.139 * [taylor]: Taking taylor expansion of 0 in lambda1 1.139 * [taylor]: Taking taylor expansion of 0 in lambda2 1.139 * [taylor]: Taking taylor expansion of 0 in lambda1 1.140 * [taylor]: Taking taylor expansion of 0 in lambda2 1.140 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.140 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.141 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.142 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.142 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.142 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.143 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.144 * [taylor]: Taking taylor expansion of 0 in phi2 1.144 * [taylor]: Taking taylor expansion of 0 in lambda1 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [taylor]: Taking taylor expansion of 0 in lambda1 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [taylor]: Taking taylor expansion of 0 in phi2 1.144 * [taylor]: Taking taylor expansion of 0 in lambda1 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.144 * [taylor]: Taking taylor expansion of 0 in lambda1 1.144 * [taylor]: Taking taylor expansion of 0 in lambda2 1.145 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.145 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.146 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.147 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.148 * [taylor]: Taking taylor expansion of 0 in phi2 1.148 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [taylor]: Taking taylor expansion of 0 in phi2 1.148 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.148 * [taylor]: Taking taylor expansion of 0 in lambda1 1.148 * [taylor]: Taking taylor expansion of 0 in lambda2 1.149 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.149 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.149 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.149 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.150 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.150 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.150 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in phi2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in phi2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.152 * [taylor]: Taking taylor expansion of 0 in lambda1 1.152 * [taylor]: Taking taylor expansion of 0 in lambda2 1.153 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.153 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.154 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.154 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.154 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.155 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.156 * [taylor]: Taking taylor expansion of 0 in phi2 1.156 * [taylor]: Taking taylor expansion of 0 in lambda1 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [taylor]: Taking taylor expansion of 0 in lambda1 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [taylor]: Taking taylor expansion of 0 in phi2 1.156 * [taylor]: Taking taylor expansion of 0 in lambda1 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.156 * [taylor]: Taking taylor expansion of 0 in lambda1 1.156 * [taylor]: Taking taylor expansion of 0 in lambda2 1.157 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.157 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.158 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.159 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.159 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.160 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.160 * [taylor]: Taking taylor expansion of 0 in phi2 1.160 * [taylor]: Taking taylor expansion of 0 in lambda1 1.160 * [taylor]: Taking taylor expansion of 0 in lambda2 1.160 * [taylor]: Taking taylor expansion of 0 in lambda1 1.161 * [taylor]: Taking taylor expansion of 0 in lambda2 1.161 * [taylor]: Taking taylor expansion of 0 in lambda2 1.161 * [taylor]: Taking taylor expansion of 0 in phi2 1.161 * [taylor]: Taking taylor expansion of 0 in lambda1 1.161 * [taylor]: Taking taylor expansion of 0 in lambda2 1.161 * [taylor]: Taking taylor expansion of 0 in lambda1 1.161 * [taylor]: Taking taylor expansion of 0 in lambda2 1.161 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.161 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.161 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.161 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.162 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.162 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.163 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.163 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.163 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.163 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.164 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.164 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.164 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.164 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.165 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.165 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.165 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.165 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.167 * [taylor]: Taking taylor expansion of 0 in phi2 1.167 * [taylor]: Taking taylor expansion of 0 in lambda1 1.167 * [taylor]: Taking taylor expansion of 0 in lambda2 1.169 * [taylor]: Taking taylor expansion of 0 in lambda1 1.169 * [taylor]: Taking taylor expansion of 0 in lambda2 1.170 * [taylor]: Taking taylor expansion of 0 in lambda2 1.170 * [taylor]: Taking taylor expansion of 0 in phi2 1.170 * [taylor]: Taking taylor expansion of 0 in lambda1 1.170 * [taylor]: Taking taylor expansion of 0 in lambda2 1.170 * [taylor]: Taking taylor expansion of 0 in lambda1 1.170 * [taylor]: Taking taylor expansion of 0 in lambda2 1.171 * [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 1.171 * [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 1.171 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.172 * [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 1.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.172 * [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 1.172 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.173 * [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 1.173 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.174 * [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 1.174 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.175 * [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 1.175 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.175 * [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 1.175 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.176 * [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 1.176 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.178 * [taylor]: Taking taylor expansion of 0 in phi2 1.178 * [taylor]: Taking taylor expansion of 0 in lambda1 1.178 * [taylor]: Taking taylor expansion of 0 in lambda2 1.178 * [taylor]: Taking taylor expansion of 0 in lambda1 1.178 * [taylor]: Taking taylor expansion of 0 in lambda2 1.179 * [taylor]: Taking taylor expansion of 0 in lambda2 1.179 * [taylor]: Taking taylor expansion of 0 in phi2 1.179 * [taylor]: Taking taylor expansion of 0 in lambda1 1.179 * [taylor]: Taking taylor expansion of 0 in lambda2 1.180 * [taylor]: Taking taylor expansion of 0 in lambda1 1.180 * [taylor]: Taking taylor expansion of 0 in lambda2 1.180 * [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 1.180 * [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 1.180 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.181 * [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 1.181 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.182 * [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 1.182 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.183 * [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 1.183 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.183 * [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 1.183 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.184 * [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 1.184 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.185 * [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 1.185 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.185 * [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 1.185 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in phi2 1.187 * [taylor]: Taking taylor expansion of 0 in lambda1 1.187 * [taylor]: Taking taylor expansion of 0 in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in lambda1 1.188 * [taylor]: Taking taylor expansion of 0 in lambda2 1.188 * [taylor]: Taking taylor expansion of 0 in lambda2 1.189 * [taylor]: Taking taylor expansion of 0 in phi2 1.189 * [taylor]: Taking taylor expansion of 0 in lambda1 1.189 * [taylor]: Taking taylor expansion of 0 in lambda2 1.189 * [taylor]: Taking taylor expansion of 0 in lambda1 1.189 * [taylor]: Taking taylor expansion of 0 in lambda2 1.189 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.190 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.190 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.190 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.190 * [taylor]: Taking taylor expansion of phi1 in phi2 1.190 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.190 * [taylor]: Taking taylor expansion of phi2 in phi2 1.190 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.190 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.190 * [taylor]: Taking taylor expansion of phi1 in phi1 1.190 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.190 * [taylor]: Taking taylor expansion of phi2 in phi1 1.190 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.190 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.190 * [taylor]: Taking taylor expansion of phi1 in phi1 1.190 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.190 * [taylor]: Taking taylor expansion of phi2 in phi1 1.190 * [taylor]: Taking taylor expansion of 0 in phi2 1.190 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.190 * [taylor]: Taking taylor expansion of phi2 in phi2 1.191 * [taylor]: Taking taylor expansion of 0 in phi2 1.191 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 1.191 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.191 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.191 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.191 * [taylor]: Taking taylor expansion of phi2 in phi2 1.192 * [taylor]: Taking taylor expansion of 0 in phi2 1.192 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.192 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.192 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.192 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.192 * [taylor]: Taking taylor expansion of phi1 in phi2 1.192 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.192 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.192 * [taylor]: Taking taylor expansion of phi2 in phi2 1.192 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.192 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.192 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.192 * [taylor]: Taking taylor expansion of phi1 in phi1 1.193 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.193 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.193 * [taylor]: Taking taylor expansion of phi2 in phi1 1.193 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.193 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.193 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.193 * [taylor]: Taking taylor expansion of phi1 in phi1 1.193 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.193 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.193 * [taylor]: Taking taylor expansion of phi2 in phi1 1.193 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.193 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.193 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.193 * [taylor]: Taking taylor expansion of phi1 in phi2 1.193 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.193 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.193 * [taylor]: Taking taylor expansion of phi2 in phi2 1.194 * [taylor]: Taking taylor expansion of 0 in phi2 1.194 * [taylor]: Taking taylor expansion of 0 in phi2 1.195 * [taylor]: Taking taylor expansion of 0 in phi2 1.195 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.196 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.196 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.196 * [taylor]: Taking taylor expansion of -1 in phi2 1.196 * [taylor]: Taking taylor expansion of phi1 in phi2 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.196 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.196 * [taylor]: Taking taylor expansion of -1 in phi2 1.196 * [taylor]: Taking taylor expansion of phi2 in phi2 1.196 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.196 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.196 * [taylor]: Taking taylor expansion of -1 in phi1 1.196 * [taylor]: Taking taylor expansion of phi1 in phi1 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.196 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.196 * [taylor]: Taking taylor expansion of -1 in phi1 1.196 * [taylor]: Taking taylor expansion of phi2 in phi1 1.196 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.196 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.196 * [taylor]: Taking taylor expansion of -1 in phi1 1.196 * [taylor]: Taking taylor expansion of phi1 in phi1 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.196 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.196 * [taylor]: Taking taylor expansion of -1 in phi1 1.196 * [taylor]: Taking taylor expansion of phi2 in phi1 1.196 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.196 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.196 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.196 * [taylor]: Taking taylor expansion of -1 in phi2 1.196 * [taylor]: Taking taylor expansion of phi1 in phi2 1.197 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.197 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.197 * [taylor]: Taking taylor expansion of -1 in phi2 1.197 * [taylor]: Taking taylor expansion of phi2 in phi2 1.197 * [taylor]: Taking taylor expansion of 0 in phi2 1.198 * [taylor]: Taking taylor expansion of 0 in phi2 1.199 * [taylor]: Taking taylor expansion of 0 in phi2 1.199 * * * [progress]: simplifying candidates 1.200 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (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 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)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.205 * * [simplify]: iteration 0 : 184 enodes (cost 1090 ) 1.208 * * [simplify]: iteration 1 : 449 enodes (cost 921 ) 1.215 * * [simplify]: iteration 2 : 899 enodes (cost 921 ) 1.224 * * [simplify]: iteration 3 : 1236 enodes (cost 921 ) 1.237 * * [simplify]: iteration 4 : 2522 enodes (cost 921 ) 1.271 * * [simplify]: iteration 5 : 5001 enodes (cost 921 ) 1.275 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 2 (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) 0 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) E (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 1.275 * * * [progress]: adding candidates to table 1.353 * * [progress]: iteration 4 / 4 1.354 * * * [progress]: picking best candidate 1.454 * * * * [pick]: Picked # 1.454 * * * [progress]: localizing error 1.487 * * * [progress]: generating rewritten candidates 1.487 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.494 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.495 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 1) 1.501 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.511 * * * [progress]: generating series expansions 1.511 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.511 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.511 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.511 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.511 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.512 * [taylor]: Taking taylor expansion of PI in lambda2 1.512 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.512 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.512 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.512 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.512 * [taylor]: Taking taylor expansion of PI in lambda1 1.512 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.512 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.512 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.512 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.512 * [taylor]: Taking taylor expansion of PI in phi2 1.512 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.512 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.513 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.513 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.513 * [taylor]: Taking taylor expansion of PI in phi1 1.513 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.513 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.513 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.513 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.513 * [taylor]: Taking taylor expansion of PI in phi1 1.513 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.514 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.514 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.514 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.514 * [taylor]: Taking taylor expansion of PI in phi2 1.514 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.515 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.515 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.515 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.515 * [taylor]: Taking taylor expansion of PI in lambda1 1.515 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.515 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.515 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.515 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.515 * [taylor]: Taking taylor expansion of PI in lambda2 1.515 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.517 * [taylor]: Taking taylor expansion of 0 in phi2 1.517 * [taylor]: Taking taylor expansion of 0 in lambda1 1.517 * [taylor]: Taking taylor expansion of 0 in lambda2 1.517 * [taylor]: Taking taylor expansion of 0 in lambda1 1.517 * [taylor]: Taking taylor expansion of 0 in lambda2 1.517 * [taylor]: Taking taylor expansion of 0 in lambda2 1.517 * [taylor]: Taking taylor expansion of 0 in phi2 1.517 * [taylor]: Taking taylor expansion of 0 in lambda1 1.517 * [taylor]: Taking taylor expansion of 0 in lambda2 1.517 * [taylor]: Taking taylor expansion of 0 in lambda1 1.517 * [taylor]: Taking taylor expansion of 0 in lambda2 1.518 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.518 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.518 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.518 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.518 * [taylor]: Taking taylor expansion of PI in lambda2 1.518 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.518 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.518 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.518 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.518 * [taylor]: Taking taylor expansion of PI in lambda1 1.518 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.519 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.519 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.519 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.519 * [taylor]: Taking taylor expansion of PI in phi2 1.519 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.519 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.519 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.519 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.519 * [taylor]: Taking taylor expansion of PI in phi1 1.519 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.519 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.519 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.519 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.519 * [taylor]: Taking taylor expansion of PI in phi1 1.519 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.521 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.521 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.521 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.521 * [taylor]: Taking taylor expansion of PI in phi2 1.521 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.522 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.522 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.522 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.522 * [taylor]: Taking taylor expansion of PI in lambda1 1.522 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.523 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.523 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.523 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.523 * [taylor]: Taking taylor expansion of PI in lambda2 1.523 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.525 * [taylor]: Taking taylor expansion of 0 in phi2 1.525 * [taylor]: Taking taylor expansion of 0 in lambda1 1.525 * [taylor]: Taking taylor expansion of 0 in lambda2 1.525 * [taylor]: Taking taylor expansion of 0 in lambda1 1.525 * [taylor]: Taking taylor expansion of 0 in lambda2 1.525 * [taylor]: Taking taylor expansion of 0 in lambda2 1.525 * [taylor]: Taking taylor expansion of 0 in phi2 1.525 * [taylor]: Taking taylor expansion of 0 in lambda1 1.525 * [taylor]: Taking taylor expansion of 0 in lambda2 1.525 * [taylor]: Taking taylor expansion of 0 in lambda1 1.525 * [taylor]: Taking taylor expansion of 0 in lambda2 1.526 * [approximate]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.526 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.526 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.526 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.526 * [taylor]: Taking taylor expansion of PI in lambda2 1.526 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.526 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.526 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.526 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.526 * [taylor]: Taking taylor expansion of PI in lambda1 1.526 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.527 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.527 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.527 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.527 * [taylor]: Taking taylor expansion of PI in phi2 1.527 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.527 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.527 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.527 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.527 * [taylor]: Taking taylor expansion of PI in phi1 1.527 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.528 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.528 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.528 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.528 * [taylor]: Taking taylor expansion of PI in phi1 1.528 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.529 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.529 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.529 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.529 * [taylor]: Taking taylor expansion of PI in phi2 1.529 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.530 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.530 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.530 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.530 * [taylor]: Taking taylor expansion of PI in lambda1 1.530 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.531 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.531 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.531 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.531 * [taylor]: Taking taylor expansion of PI in lambda2 1.531 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.533 * [taylor]: Taking taylor expansion of 0 in phi2 1.533 * [taylor]: Taking taylor expansion of 0 in lambda1 1.533 * [taylor]: Taking taylor expansion of 0 in lambda2 1.533 * [taylor]: Taking taylor expansion of 0 in lambda1 1.533 * [taylor]: Taking taylor expansion of 0 in lambda2 1.533 * [taylor]: Taking taylor expansion of 0 in lambda2 1.533 * [taylor]: Taking taylor expansion of 0 in phi2 1.533 * [taylor]: Taking taylor expansion of 0 in lambda1 1.533 * [taylor]: Taking taylor expansion of 0 in lambda2 1.533 * [taylor]: Taking taylor expansion of 0 in lambda1 1.533 * [taylor]: Taking taylor expansion of 0 in lambda2 1.534 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.534 * [approximate]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.534 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.534 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.535 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.535 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.535 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.535 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.536 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.536 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.536 * [taylor]: Taking taylor expansion of 0 in phi2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda1 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda1 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * [taylor]: Taking taylor expansion of 0 in phi2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda1 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * [taylor]: Taking taylor expansion of 0 in lambda1 1.537 * [taylor]: Taking taylor expansion of 0 in lambda2 1.537 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.537 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.538 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.538 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.538 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.539 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.539 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.540 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.540 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.541 * [taylor]: Taking taylor expansion of 0 in phi2 1.541 * [taylor]: Taking taylor expansion of 0 in lambda1 1.541 * [taylor]: Taking taylor expansion of 0 in lambda2 1.541 * [taylor]: Taking taylor expansion of 0 in lambda1 1.541 * [taylor]: Taking taylor expansion of 0 in lambda2 1.541 * [taylor]: Taking taylor expansion of 0 in lambda2 1.541 * [taylor]: Taking taylor expansion of 0 in phi2 1.541 * [taylor]: Taking taylor expansion of 0 in lambda1 1.541 * [taylor]: Taking taylor expansion of 0 in lambda2 1.541 * [taylor]: Taking taylor expansion of 0 in lambda1 1.541 * [taylor]: Taking taylor expansion of 0 in lambda2 1.542 * [approximate]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.542 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.542 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.543 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.543 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.543 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.544 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.544 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.544 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.545 * [taylor]: Taking taylor expansion of 0 in phi2 1.545 * [taylor]: Taking taylor expansion of 0 in lambda1 1.545 * [taylor]: Taking taylor expansion of 0 in lambda2 1.545 * [taylor]: Taking taylor expansion of 0 in lambda1 1.545 * [taylor]: Taking taylor expansion of 0 in lambda2 1.545 * [taylor]: Taking taylor expansion of 0 in lambda2 1.545 * [taylor]: Taking taylor expansion of 0 in phi2 1.545 * [taylor]: Taking taylor expansion of 0 in lambda1 1.545 * [taylor]: Taking taylor expansion of 0 in lambda2 1.545 * [taylor]: Taking taylor expansion of 0 in lambda1 1.545 * [taylor]: Taking taylor expansion of 0 in lambda2 1.546 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 1) 1.546 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.546 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.546 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.546 * [taylor]: Taking taylor expansion of phi1 in phi2 1.546 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.546 * [taylor]: Taking taylor expansion of phi2 in phi2 1.546 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.546 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.546 * [taylor]: Taking taylor expansion of phi1 in phi1 1.546 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.546 * [taylor]: Taking taylor expansion of phi2 in phi1 1.546 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.546 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.546 * [taylor]: Taking taylor expansion of phi1 in phi1 1.546 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.546 * [taylor]: Taking taylor expansion of phi2 in phi1 1.546 * [taylor]: Taking taylor expansion of 0 in phi2 1.547 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.547 * [taylor]: Taking taylor expansion of phi2 in phi2 1.547 * [taylor]: Taking taylor expansion of 0 in phi2 1.548 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 1.548 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.548 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.548 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.548 * [taylor]: Taking taylor expansion of phi2 in phi2 1.549 * [taylor]: Taking taylor expansion of 0 in phi2 1.549 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.549 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.549 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.549 * [taylor]: Taking taylor expansion of phi1 in phi2 1.549 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.549 * [taylor]: Taking taylor expansion of phi2 in phi2 1.549 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.549 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.549 * [taylor]: Taking taylor expansion of phi1 in phi1 1.549 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.549 * [taylor]: Taking taylor expansion of phi2 in phi1 1.549 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.549 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.549 * [taylor]: Taking taylor expansion of phi1 in phi1 1.549 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.549 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.549 * [taylor]: Taking taylor expansion of phi2 in phi1 1.550 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.550 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.550 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.550 * [taylor]: Taking taylor expansion of phi1 in phi2 1.550 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.550 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.550 * [taylor]: Taking taylor expansion of phi2 in phi2 1.550 * [taylor]: Taking taylor expansion of 0 in phi2 1.551 * [taylor]: Taking taylor expansion of 0 in phi2 1.552 * [taylor]: Taking taylor expansion of 0 in phi2 1.552 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.552 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.552 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.552 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.552 * [taylor]: Taking taylor expansion of -1 in phi2 1.552 * [taylor]: Taking taylor expansion of phi1 in phi2 1.552 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.552 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.552 * [taylor]: Taking taylor expansion of -1 in phi2 1.552 * [taylor]: Taking taylor expansion of phi2 in phi2 1.552 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.552 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.552 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.552 * [taylor]: Taking taylor expansion of -1 in phi1 1.552 * [taylor]: Taking taylor expansion of phi1 in phi1 1.552 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.552 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.552 * [taylor]: Taking taylor expansion of -1 in phi1 1.552 * [taylor]: Taking taylor expansion of phi2 in phi1 1.552 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.552 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.552 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.552 * [taylor]: Taking taylor expansion of -1 in phi1 1.552 * [taylor]: Taking taylor expansion of phi1 in phi1 1.552 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.552 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.552 * [taylor]: Taking taylor expansion of -1 in phi1 1.552 * [taylor]: Taking taylor expansion of phi2 in phi1 1.553 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.553 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.553 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.553 * [taylor]: Taking taylor expansion of -1 in phi2 1.553 * [taylor]: Taking taylor expansion of phi1 in phi2 1.553 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.553 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.553 * [taylor]: Taking taylor expansion of -1 in phi2 1.553 * [taylor]: Taking taylor expansion of phi2 in phi2 1.553 * [taylor]: Taking taylor expansion of 0 in phi2 1.554 * [taylor]: Taking taylor expansion of 0 in phi2 1.555 * [taylor]: Taking taylor expansion of 0 in phi2 1.555 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.555 * [approximate]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.555 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R 1.555 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R 1.555 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.555 * [taylor]: Taking taylor expansion of 1/2 in R 1.555 * [taylor]: Taking taylor expansion of PI in R 1.555 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.556 * [taylor]: Taking taylor expansion of R in R 1.556 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2 1.556 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.556 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.556 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.556 * [taylor]: Taking taylor expansion of PI in lambda2 1.556 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.556 * [taylor]: Taking taylor expansion of R in lambda2 1.556 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1 1.556 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.556 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.556 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.556 * [taylor]: Taking taylor expansion of PI in lambda1 1.556 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.557 * [taylor]: Taking taylor expansion of R in lambda1 1.557 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2 1.557 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.557 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.557 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.557 * [taylor]: Taking taylor expansion of PI in phi2 1.557 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.557 * [taylor]: Taking taylor expansion of R in phi2 1.557 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1 1.557 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.557 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.557 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.557 * [taylor]: Taking taylor expansion of PI in phi1 1.557 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.557 * [taylor]: Taking taylor expansion of R in phi1 1.557 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi1 1.557 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.557 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.557 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.557 * [taylor]: Taking taylor expansion of PI in phi1 1.557 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.558 * [taylor]: Taking taylor expansion of R in phi1 1.558 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in phi2 1.558 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.559 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.559 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.559 * [taylor]: Taking taylor expansion of PI in phi2 1.559 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.559 * [taylor]: Taking taylor expansion of R in phi2 1.560 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda1 1.560 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.560 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.560 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.560 * [taylor]: Taking taylor expansion of PI in lambda1 1.560 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.560 * [taylor]: Taking taylor expansion of R in lambda1 1.561 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in lambda2 1.561 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.561 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.561 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.561 * [taylor]: Taking taylor expansion of PI in lambda2 1.561 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.561 * [taylor]: Taking taylor expansion of R in lambda2 1.562 * [taylor]: Taking taylor expansion of (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) in R 1.562 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in R 1.562 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.562 * [taylor]: Taking taylor expansion of 1/2 in R 1.562 * [taylor]: Taking taylor expansion of PI in R 1.562 * [taylor]: Taking taylor expansion of (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.562 * [taylor]: Taking taylor expansion of R in R 1.563 * [taylor]: Taking taylor expansion of 0 in phi2 1.563 * [taylor]: Taking taylor expansion of 0 in lambda1 1.563 * [taylor]: Taking taylor expansion of 0 in lambda2 1.563 * [taylor]: Taking taylor expansion of 0 in R 1.564 * [taylor]: Taking taylor expansion of 0 in lambda1 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in R 1.564 * [taylor]: Taking taylor expansion of 0 in lambda2 1.564 * [taylor]: Taking taylor expansion of 0 in R 1.565 * [taylor]: Taking taylor expansion of 0 in R 1.566 * [taylor]: Taking taylor expansion of 0 in phi2 1.566 * [taylor]: Taking taylor expansion of 0 in lambda1 1.566 * [taylor]: Taking taylor expansion of 0 in lambda2 1.566 * [taylor]: Taking taylor expansion of 0 in R 1.566 * [taylor]: Taking taylor expansion of 0 in lambda1 1.566 * [taylor]: Taking taylor expansion of 0 in lambda2 1.566 * [taylor]: Taking taylor expansion of 0 in R 1.566 * [taylor]: Taking taylor expansion of 0 in lambda1 1.566 * [taylor]: Taking taylor expansion of 0 in lambda2 1.566 * [taylor]: Taking taylor expansion of 0 in R 1.566 * [taylor]: Taking taylor expansion of 0 in lambda2 1.566 * [taylor]: Taking taylor expansion of 0 in R 1.566 * [taylor]: Taking taylor expansion of 0 in lambda2 1.566 * [taylor]: Taking taylor expansion of 0 in R 1.567 * [taylor]: Taking taylor expansion of 0 in lambda2 1.567 * [taylor]: Taking taylor expansion of 0 in R 1.567 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.567 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R 1.567 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R 1.567 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.568 * [taylor]: Taking taylor expansion of 1/2 in R 1.568 * [taylor]: Taking taylor expansion of PI in R 1.568 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.568 * [taylor]: Taking taylor expansion of R in R 1.569 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2 1.569 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.569 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.569 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.569 * [taylor]: Taking taylor expansion of PI in lambda2 1.569 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.569 * [taylor]: Taking taylor expansion of R in lambda2 1.571 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1 1.571 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.571 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.571 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.571 * [taylor]: Taking taylor expansion of PI in lambda1 1.571 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.571 * [taylor]: Taking taylor expansion of R in lambda1 1.572 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2 1.574 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.574 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.574 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.574 * [taylor]: Taking taylor expansion of PI in phi2 1.574 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.574 * [taylor]: Taking taylor expansion of R in phi2 1.575 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1 1.576 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.576 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.576 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.576 * [taylor]: Taking taylor expansion of PI in phi1 1.576 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.576 * [taylor]: Taking taylor expansion of R in phi1 1.577 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi1 1.577 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.577 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.577 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.577 * [taylor]: Taking taylor expansion of PI in phi1 1.577 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.577 * [taylor]: Taking taylor expansion of R in phi1 1.579 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in phi2 1.579 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.579 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.579 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.579 * [taylor]: Taking taylor expansion of PI in phi2 1.579 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.579 * [taylor]: Taking taylor expansion of R in phi2 1.580 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda1 1.580 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.580 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.580 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.580 * [taylor]: Taking taylor expansion of PI in lambda1 1.580 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.581 * [taylor]: Taking taylor expansion of R in lambda1 1.582 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in lambda2 1.582 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.582 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.582 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.582 * [taylor]: Taking taylor expansion of PI in lambda2 1.582 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.582 * [taylor]: Taking taylor expansion of R in lambda2 1.583 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) R) in R 1.583 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in R 1.583 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.583 * [taylor]: Taking taylor expansion of 1/2 in R 1.583 * [taylor]: Taking taylor expansion of PI in R 1.583 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.584 * [taylor]: Taking taylor expansion of R in R 1.586 * [taylor]: Taking taylor expansion of 0 in phi2 1.586 * [taylor]: Taking taylor expansion of 0 in lambda1 1.586 * [taylor]: Taking taylor expansion of 0 in lambda2 1.586 * [taylor]: Taking taylor expansion of 0 in R 1.586 * [taylor]: Taking taylor expansion of 0 in lambda1 1.586 * [taylor]: Taking taylor expansion of 0 in lambda2 1.586 * [taylor]: Taking taylor expansion of 0 in R 1.587 * [taylor]: Taking taylor expansion of 0 in lambda2 1.587 * [taylor]: Taking taylor expansion of 0 in R 1.587 * [taylor]: Taking taylor expansion of 0 in R 1.588 * [taylor]: Taking taylor expansion of 0 in phi2 1.588 * [taylor]: Taking taylor expansion of 0 in lambda1 1.588 * [taylor]: Taking taylor expansion of 0 in lambda2 1.588 * [taylor]: Taking taylor expansion of 0 in R 1.588 * [taylor]: Taking taylor expansion of 0 in lambda1 1.588 * [taylor]: Taking taylor expansion of 0 in lambda2 1.589 * [taylor]: Taking taylor expansion of 0 in R 1.589 * [taylor]: Taking taylor expansion of 0 in lambda1 1.589 * [taylor]: Taking taylor expansion of 0 in lambda2 1.589 * [taylor]: Taking taylor expansion of 0 in R 1.589 * [taylor]: Taking taylor expansion of 0 in lambda2 1.589 * [taylor]: Taking taylor expansion of 0 in R 1.589 * [taylor]: Taking taylor expansion of 0 in lambda2 1.589 * [taylor]: Taking taylor expansion of 0 in R 1.590 * [taylor]: Taking taylor expansion of 0 in lambda2 1.590 * [taylor]: Taking taylor expansion of 0 in R 1.590 * [taylor]: Taking taylor expansion of 0 in R 1.590 * [taylor]: Taking taylor expansion of 0 in R 1.590 * [taylor]: Taking taylor expansion of 0 in R 1.590 * [taylor]: Taking taylor expansion of 0 in R 1.592 * [approximate]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.592 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R 1.592 * [taylor]: Taking taylor expansion of -1 in R 1.592 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R 1.592 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R 1.592 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.592 * [taylor]: Taking taylor expansion of 1/2 in R 1.592 * [taylor]: Taking taylor expansion of PI in R 1.592 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.592 * [taylor]: Taking taylor expansion of R in R 1.593 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2 1.593 * [taylor]: Taking taylor expansion of -1 in lambda2 1.593 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2 1.593 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.593 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.593 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.593 * [taylor]: Taking taylor expansion of PI in lambda2 1.593 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.594 * [taylor]: Taking taylor expansion of R in lambda2 1.595 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1 1.595 * [taylor]: Taking taylor expansion of -1 in lambda1 1.595 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1 1.595 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.595 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.595 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.595 * [taylor]: Taking taylor expansion of PI in lambda1 1.595 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.595 * [taylor]: Taking taylor expansion of R in lambda1 1.597 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2 1.597 * [taylor]: Taking taylor expansion of -1 in phi2 1.597 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2 1.597 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.597 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.597 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.597 * [taylor]: Taking taylor expansion of PI in phi2 1.597 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.597 * [taylor]: Taking taylor expansion of R in phi2 1.598 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1 1.598 * [taylor]: Taking taylor expansion of -1 in phi1 1.598 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1 1.598 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.598 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.598 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.598 * [taylor]: Taking taylor expansion of PI in phi1 1.598 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.599 * [taylor]: Taking taylor expansion of R in phi1 1.600 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi1 1.600 * [taylor]: Taking taylor expansion of -1 in phi1 1.600 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi1 1.600 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.600 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi1 1.600 * [taylor]: Taking taylor expansion of 1/2 in phi1 1.600 * [taylor]: Taking taylor expansion of PI in phi1 1.600 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.600 * [taylor]: Taking taylor expansion of R in phi1 1.602 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in phi2 1.602 * [taylor]: Taking taylor expansion of -1 in phi2 1.602 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in phi2 1.602 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.602 * [taylor]: Taking taylor expansion of (* 1/2 PI) in phi2 1.602 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.602 * [taylor]: Taking taylor expansion of PI in phi2 1.602 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.602 * [taylor]: Taking taylor expansion of R in phi2 1.604 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda1 1.604 * [taylor]: Taking taylor expansion of -1 in lambda1 1.604 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda1 1.604 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.604 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda1 1.604 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.604 * [taylor]: Taking taylor expansion of PI in lambda1 1.604 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.604 * [taylor]: Taking taylor expansion of R in lambda1 1.606 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in lambda2 1.606 * [taylor]: Taking taylor expansion of -1 in lambda2 1.606 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in lambda2 1.606 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.606 * [taylor]: Taking taylor expansion of (* 1/2 PI) in lambda2 1.606 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.606 * [taylor]: Taking taylor expansion of PI in lambda2 1.606 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.606 * [taylor]: Taking taylor expansion of R in lambda2 1.608 * [taylor]: Taking taylor expansion of (* -1 (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R)) in R 1.608 * [taylor]: Taking taylor expansion of -1 in R 1.608 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) R) in R 1.608 * [taylor]: Taking taylor expansion of (- (* 1/2 PI) (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in R 1.608 * [taylor]: Taking taylor expansion of (* 1/2 PI) in R 1.608 * [taylor]: Taking taylor expansion of 1/2 in R 1.608 * [taylor]: Taking taylor expansion of PI in R 1.608 * [taylor]: Taking taylor expansion of (asin (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.608 * [taylor]: Taking taylor expansion of R in R 1.611 * [taylor]: Taking taylor expansion of 0 in phi2 1.611 * [taylor]: Taking taylor expansion of 0 in lambda1 1.611 * [taylor]: Taking taylor expansion of 0 in lambda2 1.611 * [taylor]: Taking taylor expansion of 0 in R 1.612 * [taylor]: Taking taylor expansion of 0 in lambda1 1.612 * [taylor]: Taking taylor expansion of 0 in lambda2 1.612 * [taylor]: Taking taylor expansion of 0 in R 1.613 * [taylor]: Taking taylor expansion of 0 in lambda2 1.613 * [taylor]: Taking taylor expansion of 0 in R 1.614 * [taylor]: Taking taylor expansion of 0 in R 1.615 * [taylor]: Taking taylor expansion of 0 in phi2 1.615 * [taylor]: Taking taylor expansion of 0 in lambda1 1.615 * [taylor]: Taking taylor expansion of 0 in lambda2 1.615 * [taylor]: Taking taylor expansion of 0 in R 1.615 * [taylor]: Taking taylor expansion of 0 in lambda1 1.615 * [taylor]: Taking taylor expansion of 0 in lambda2 1.615 * [taylor]: Taking taylor expansion of 0 in R 1.616 * [taylor]: Taking taylor expansion of 0 in lambda1 1.616 * [taylor]: Taking taylor expansion of 0 in lambda2 1.616 * [taylor]: Taking taylor expansion of 0 in R 1.616 * [taylor]: Taking taylor expansion of 0 in lambda2 1.616 * [taylor]: Taking taylor expansion of 0 in R 1.616 * [taylor]: Taking taylor expansion of 0 in lambda2 1.617 * [taylor]: Taking taylor expansion of 0 in R 1.617 * [taylor]: Taking taylor expansion of 0 in lambda2 1.617 * [taylor]: Taking taylor expansion of 0 in R 1.617 * [taylor]: Taking taylor expansion of 0 in R 1.617 * [taylor]: Taking taylor expansion of 0 in R 1.618 * [taylor]: Taking taylor expansion of 0 in R 1.618 * [taylor]: Taking taylor expansion of 0 in R 1.620 * * * [progress]: simplifying candidates 1.621 * [simplify]: Simplifying using # : (/ (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) (+ (* (/ PI 2) (/ PI 2)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (/ PI 2)) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (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)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (+ (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log R)) (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (* R R) R)) (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (* (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 1) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* (- (* 1/2 PI) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) R) (* (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) R) 1.628 * * [simplify]: iteration 0 : 282 enodes (cost 1489 ) 1.632 * * [simplify]: iteration 1 : 845 enodes (cost 1348 ) 1.647 * * [simplify]: iteration 2 : 3043 enodes (cost 1342 ) 1.688 * * [simplify]: iteration 3 : 5001 enodes (cost 1342 ) 1.693 * [simplify]: Simplified to: (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (pow (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) (+ (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2))) (* (/ PI 2) (/ PI 2))) (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (+ (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 0 (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (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)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (log (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (exp (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (* (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) (cbrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (pow (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) 3) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (sqrt (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt R) (cbrt R))) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (sqrt (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (- (sqrt (/ PI 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (- (/ (sqrt PI) (sqrt 2)) (sqrt (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (- (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (- (pow (/ PI 2) 3) (pow (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3)) R) (* (- (* (/ PI 2) (/ PI 2)) (* (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R) (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (- (* 1/2 PI) (asin (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))) (+ (* R (neg (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (* R (* 1/2 PI))) 1.693 * * * [progress]: adding candidates to table 1.784 * [progress]: [Phase 3 of 3] Extracting. 1.784 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # #) 1.804 * * * [regime-changes]: Trying 10 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (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) phi2 phi1 lambda2 lambda1 R) 1.804 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # #) 1.975 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# #) 2.041 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # #) 2.212 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# #) 2.280 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # # # # #) 2.467 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # # # # #) 2.662 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# # # # # # # # # # # # # # # # # #) 2.856 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # #) 3.026 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # #) 3.196 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # #) 3.368 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # #) 3.540 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # #) 3.711 * * * [regime]: Found split indices: #