12.750 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.272 * * * [progress]: [2/2] Setting up program. 0.278 * [progress]: [Phase 2 of 3] Improving. 0.278 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.280 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.281 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.282 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.283 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.283 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.283 * * [progress]: iteration 1 / 4 0.283 * * * [progress]: picking best candidate 0.288 * * * * [pick]: Picked # 0.288 * * * [progress]: localizing error 0.312 * * * [progress]: generating rewritten candidates 0.312 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.316 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.317 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.322 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.329 * * * [progress]: generating series expansions 0.329 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.329 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.329 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.329 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.329 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.329 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.329 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.329 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.330 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.330 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.330 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.330 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.330 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.330 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.331 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.331 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.331 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.331 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [taylor]: Taking taylor expansion of 0 in lambda2 0.332 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.333 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.333 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.333 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * [taylor]: Taking taylor expansion of 0 in lambda2 0.333 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.334 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.334 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.335 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in phi2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in phi2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.335 * [taylor]: Taking taylor expansion of 0 in lambda1 0.335 * [taylor]: Taking taylor expansion of 0 in lambda2 0.336 * [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 0.336 * [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 0.336 * [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 0.336 * [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 0.336 * [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 0.336 * [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 0.337 * [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 0.337 * [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 0.337 * [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 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in phi2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [taylor]: Taking taylor expansion of 0 in lambda1 0.338 * [taylor]: Taking taylor expansion of 0 in lambda2 0.338 * [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 0.338 * [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 0.338 * [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 0.339 * [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 0.339 * [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 0.339 * [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 0.339 * [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 0.339 * [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 0.340 * [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 0.340 * [taylor]: Taking taylor expansion of 0 in phi2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in phi2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.341 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.341 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.341 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.341 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.341 * [taylor]: Taking taylor expansion of phi1 in phi2 0.341 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.341 * [taylor]: Taking taylor expansion of phi2 in phi2 0.341 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.341 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.341 * [taylor]: Taking taylor expansion of phi1 in phi1 0.341 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.341 * [taylor]: Taking taylor expansion of phi2 in phi1 0.341 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.341 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.341 * [taylor]: Taking taylor expansion of phi1 in phi1 0.341 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.341 * [taylor]: Taking taylor expansion of phi2 in phi1 0.341 * [taylor]: Taking taylor expansion of 0 in phi2 0.342 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.342 * [taylor]: Taking taylor expansion of phi2 in phi2 0.342 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.343 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.343 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.343 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.343 * [taylor]: Taking taylor expansion of phi2 in phi2 0.344 * [taylor]: Taking taylor expansion of 0 in phi2 0.344 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.344 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.344 * [taylor]: Taking taylor expansion of phi1 in phi2 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.344 * [taylor]: Taking taylor expansion of phi2 in phi2 0.344 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.344 * [taylor]: Taking taylor expansion of phi1 in phi1 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.344 * [taylor]: Taking taylor expansion of phi2 in phi1 0.344 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.344 * [taylor]: Taking taylor expansion of phi1 in phi1 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.344 * [taylor]: Taking taylor expansion of phi2 in phi1 0.344 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.344 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.344 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.344 * [taylor]: Taking taylor expansion of phi1 in phi2 0.345 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.345 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.345 * [taylor]: Taking taylor expansion of phi2 in phi2 0.345 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.347 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.347 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.347 * [taylor]: Taking taylor expansion of -1 in phi2 0.347 * [taylor]: Taking taylor expansion of phi1 in phi2 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.347 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.347 * [taylor]: Taking taylor expansion of -1 in phi2 0.347 * [taylor]: Taking taylor expansion of phi2 in phi2 0.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.347 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.347 * [taylor]: Taking taylor expansion of -1 in phi1 0.347 * [taylor]: Taking taylor expansion of phi1 in phi1 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.347 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.347 * [taylor]: Taking taylor expansion of -1 in phi1 0.347 * [taylor]: Taking taylor expansion of phi2 in phi1 0.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.347 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.347 * [taylor]: Taking taylor expansion of -1 in phi1 0.347 * [taylor]: Taking taylor expansion of phi1 in phi1 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.347 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.347 * [taylor]: Taking taylor expansion of -1 in phi1 0.347 * [taylor]: Taking taylor expansion of phi2 in phi1 0.347 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.347 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.347 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.347 * [taylor]: Taking taylor expansion of -1 in phi2 0.348 * [taylor]: Taking taylor expansion of phi1 in phi2 0.348 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.348 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.348 * [taylor]: Taking taylor expansion of -1 in phi2 0.348 * [taylor]: Taking taylor expansion of phi2 in phi2 0.348 * [taylor]: Taking taylor expansion of 0 in phi2 0.349 * [taylor]: Taking taylor expansion of 0 in phi2 0.350 * [taylor]: Taking taylor expansion of 0 in phi2 0.350 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 0.350 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.350 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.350 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.350 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.350 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.350 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.350 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in lambda1 0.350 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.350 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.350 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in lambda1 0.350 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.350 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.350 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.350 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.350 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi2 0.350 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.350 * [taylor]: Taking taylor expansion of phi1 in phi2 0.350 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi2 0.350 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.350 * [taylor]: Taking taylor expansion of phi2 in phi2 0.350 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.350 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.350 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.350 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.351 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.351 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.351 * [taylor]: Taking taylor expansion of phi1 in phi1 0.351 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.351 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.351 * [taylor]: Taking taylor expansion of phi2 in phi1 0.351 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.351 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.351 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.351 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.351 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) in phi1 0.351 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.351 * [taylor]: Taking taylor expansion of phi1 in phi1 0.351 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos (- lambda1 lambda2))) in phi1 0.351 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.351 * [taylor]: Taking taylor expansion of phi2 in phi1 0.351 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 0.351 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 0.351 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.351 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.351 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.351 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.351 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.351 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.351 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.351 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.351 * [taylor]: Taking taylor expansion of phi2 in phi2 0.352 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.352 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in phi2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.352 * [taylor]: Taking taylor expansion of 0 in lambda1 0.352 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 0.353 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 0.353 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.353 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 0.353 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.353 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.354 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 0.354 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 0.354 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 0.354 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.354 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.354 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.354 * [taylor]: Taking taylor expansion of phi2 in phi2 0.354 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.354 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.354 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.354 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.354 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.354 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.354 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.354 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.354 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.354 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.354 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.354 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.354 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.355 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 0.355 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 0.355 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.355 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.355 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.355 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.355 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.355 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 0.355 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 0.355 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.355 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 0.355 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 0.355 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.356 * [approximate]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 0.356 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.356 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.356 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.356 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.356 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.356 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.356 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.356 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.356 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.356 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.356 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.356 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.356 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.356 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.356 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.356 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.356 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.356 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.356 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.356 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.356 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.357 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.357 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.357 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.357 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.357 * [taylor]: Taking taylor expansion of phi2 in phi2 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.357 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.357 * [taylor]: Taking taylor expansion of phi1 in phi2 0.357 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.357 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.357 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.357 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.357 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.357 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.357 * [taylor]: Taking taylor expansion of phi2 in phi1 0.357 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.357 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.357 * [taylor]: Taking taylor expansion of phi1 in phi1 0.357 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.357 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 0.357 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.357 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.358 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.358 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.358 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.358 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.358 * [taylor]: Taking taylor expansion of phi2 in phi1 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.358 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.358 * [taylor]: Taking taylor expansion of phi1 in phi1 0.358 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.358 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.358 * [taylor]: Taking taylor expansion of phi1 in phi2 0.358 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in phi2 0.358 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.358 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.358 * [taylor]: Taking taylor expansion of phi2 in phi2 0.359 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.359 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.359 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.359 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.359 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.359 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.359 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.360 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.360 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.360 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.360 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.360 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.360 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.360 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in phi2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda1 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda1 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.367 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.367 * [taylor]: Taking taylor expansion of -1 in lambda2 0.367 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.367 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.367 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.367 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.367 * [taylor]: Taking taylor expansion of -1 in lambda2 0.367 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.367 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.367 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.367 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.368 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.368 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.368 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.368 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.368 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.368 * [taylor]: Taking taylor expansion of -1 in lambda1 0.368 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.368 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.368 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.368 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.368 * [taylor]: Taking taylor expansion of -1 in lambda1 0.368 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.368 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.368 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.368 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.368 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.368 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.368 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.368 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.368 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.368 * [taylor]: Taking taylor expansion of -1 in phi2 0.368 * [taylor]: Taking taylor expansion of phi1 in phi2 0.368 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.368 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.368 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.368 * [taylor]: Taking taylor expansion of -1 in phi2 0.368 * [taylor]: Taking taylor expansion of phi2 in phi2 0.368 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.368 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.368 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.368 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.368 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.368 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.369 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.369 * [taylor]: Taking taylor expansion of -1 in phi1 0.369 * [taylor]: Taking taylor expansion of phi1 in phi1 0.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.369 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.369 * [taylor]: Taking taylor expansion of -1 in phi1 0.369 * [taylor]: Taking taylor expansion of phi2 in phi1 0.369 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.369 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.369 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.369 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.369 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.369 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.369 * [taylor]: Taking taylor expansion of -1 in phi1 0.369 * [taylor]: Taking taylor expansion of phi1 in phi1 0.369 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 0.369 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.369 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.369 * [taylor]: Taking taylor expansion of -1 in phi1 0.369 * [taylor]: Taking taylor expansion of phi2 in phi1 0.369 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 0.369 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 0.369 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.369 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.369 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.369 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.370 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.370 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.370 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.370 * [taylor]: Taking taylor expansion of -1 in phi2 0.370 * [taylor]: Taking taylor expansion of phi1 in phi2 0.370 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 0.370 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.370 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.370 * [taylor]: Taking taylor expansion of -1 in phi2 0.370 * [taylor]: Taking taylor expansion of phi2 in phi2 0.370 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 0.370 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.370 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.370 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.370 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.371 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.371 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.371 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.371 * [taylor]: Taking taylor expansion of -1 in lambda1 0.371 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.371 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 0.371 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.371 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.371 * [taylor]: Taking taylor expansion of -1 in lambda1 0.371 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.371 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.371 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.371 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.371 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.371 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.371 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.372 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.372 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.372 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.372 * [taylor]: Taking taylor expansion of -1 in lambda2 0.372 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.372 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 0.372 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.372 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.372 * [taylor]: Taking taylor expansion of -1 in lambda2 0.372 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.372 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.372 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.372 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.372 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.372 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.372 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in phi2 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.375 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in phi2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * [taylor]: Taking taylor expansion of 0 in lambda1 0.376 * [taylor]: Taking taylor expansion of 0 in lambda2 0.376 * * * [progress]: simplifying candidates 0.377 * [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)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 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 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 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)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.381 * * [simplify]: iteration 0 : 271 enodes (cost 542 ) 0.386 * * [simplify]: iteration 1 : 1029 enodes (cost 460 ) 0.405 * * [simplify]: iteration 2 : 4722 enodes (cost 460 ) 0.476 * * [simplify]: iteration 3 : 5001 enodes (cost 460 ) 0.479 * [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 (- lambda1 lambda2)) (cos phi2))))) 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)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (pow (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (cos (- lambda1 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 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (* (cos phi1) (cos phi2)) (* (cos phi2) (cos (- lambda1 lambda2))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) (- (+ 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)) (+ (* -1/2 (+ (pow phi1 2) (pow phi2 2))) 1) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 0.479 * * * [progress]: adding candidates to table 0.568 * * [progress]: iteration 2 / 4 0.568 * * * [progress]: picking best candidate 0.641 * * * * [pick]: Picked # 0.641 * * * [progress]: localizing error 0.674 * * * [progress]: generating rewritten candidates 0.674 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.676 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 0.680 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.683 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2) 0.693 * * * [progress]: generating series expansions 0.693 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.694 * [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 0.694 * [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 0.694 * [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 0.695 * [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 0.695 * [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 0.695 * [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 0.696 * [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 0.696 * [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 0.696 * [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 0.697 * [taylor]: Taking taylor expansion of 0 in phi2 0.697 * [taylor]: Taking taylor expansion of 0 in lambda1 0.697 * [taylor]: Taking taylor expansion of 0 in lambda2 0.697 * [taylor]: Taking taylor expansion of 0 in lambda1 0.697 * [taylor]: Taking taylor expansion of 0 in lambda2 0.697 * [taylor]: Taking taylor expansion of 0 in lambda2 0.697 * [taylor]: Taking taylor expansion of 0 in phi2 0.697 * [taylor]: Taking taylor expansion of 0 in lambda1 0.697 * [taylor]: Taking taylor expansion of 0 in lambda2 0.697 * [taylor]: Taking taylor expansion of 0 in lambda1 0.697 * [taylor]: Taking taylor expansion of 0 in lambda2 0.698 * [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 0.698 * [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 0.698 * [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 0.699 * [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 0.699 * [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 0.699 * [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 0.700 * [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 0.700 * [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 0.700 * [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 0.701 * [taylor]: Taking taylor expansion of 0 in phi2 0.701 * [taylor]: Taking taylor expansion of 0 in lambda1 0.701 * [taylor]: Taking taylor expansion of 0 in lambda2 0.701 * [taylor]: Taking taylor expansion of 0 in lambda1 0.701 * [taylor]: Taking taylor expansion of 0 in lambda2 0.701 * [taylor]: Taking taylor expansion of 0 in lambda2 0.701 * [taylor]: Taking taylor expansion of 0 in phi2 0.701 * [taylor]: Taking taylor expansion of 0 in lambda1 0.701 * [taylor]: Taking taylor expansion of 0 in lambda2 0.701 * [taylor]: Taking taylor expansion of 0 in lambda1 0.701 * [taylor]: Taking taylor expansion of 0 in lambda2 0.702 * [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 0.702 * [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 0.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.703 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.704 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.705 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.706 * [taylor]: Taking taylor expansion of 0 in phi2 0.706 * [taylor]: Taking taylor expansion of 0 in lambda1 0.706 * [taylor]: Taking taylor expansion of 0 in lambda2 0.706 * [taylor]: Taking taylor expansion of 0 in lambda1 0.706 * [taylor]: Taking taylor expansion of 0 in lambda2 0.706 * [taylor]: Taking taylor expansion of 0 in lambda2 0.706 * [taylor]: Taking taylor expansion of 0 in phi2 0.706 * [taylor]: Taking taylor expansion of 0 in lambda1 0.706 * [taylor]: Taking taylor expansion of 0 in lambda2 0.706 * [taylor]: Taking taylor expansion of 0 in lambda1 0.706 * [taylor]: Taking taylor expansion of 0 in lambda2 0.707 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 0.707 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.707 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.707 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.707 * [taylor]: Taking taylor expansion of phi1 in phi2 0.707 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.707 * [taylor]: Taking taylor expansion of phi2 in phi2 0.707 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.707 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.707 * [taylor]: Taking taylor expansion of phi1 in phi1 0.707 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.707 * [taylor]: Taking taylor expansion of phi2 in phi1 0.707 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.707 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.707 * [taylor]: Taking taylor expansion of phi1 in phi1 0.707 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.707 * [taylor]: Taking taylor expansion of phi2 in phi1 0.707 * [taylor]: Taking taylor expansion of 0 in phi2 0.708 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.708 * [taylor]: Taking taylor expansion of phi2 in phi2 0.708 * [taylor]: Taking taylor expansion of 0 in phi2 0.708 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 0.709 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.709 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.709 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.709 * [taylor]: Taking taylor expansion of phi2 in phi2 0.709 * [taylor]: Taking taylor expansion of 0 in phi2 0.710 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.710 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.710 * [taylor]: Taking taylor expansion of phi1 in phi2 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.710 * [taylor]: Taking taylor expansion of phi2 in phi2 0.710 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.710 * [taylor]: Taking taylor expansion of phi1 in phi1 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.710 * [taylor]: Taking taylor expansion of phi2 in phi1 0.710 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.710 * [taylor]: Taking taylor expansion of phi1 in phi1 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.710 * [taylor]: Taking taylor expansion of phi2 in phi1 0.710 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.710 * [taylor]: Taking taylor expansion of phi1 in phi2 0.710 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.710 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.710 * [taylor]: Taking taylor expansion of phi2 in phi2 0.711 * [taylor]: Taking taylor expansion of 0 in phi2 0.711 * [taylor]: Taking taylor expansion of 0 in phi2 0.712 * [taylor]: Taking taylor expansion of 0 in phi2 0.712 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.712 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.713 * [taylor]: Taking taylor expansion of -1 in phi2 0.713 * [taylor]: Taking taylor expansion of phi1 in phi2 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.713 * [taylor]: Taking taylor expansion of -1 in phi2 0.713 * [taylor]: Taking taylor expansion of phi2 in phi2 0.713 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.713 * [taylor]: Taking taylor expansion of -1 in phi1 0.713 * [taylor]: Taking taylor expansion of phi1 in phi1 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.713 * [taylor]: Taking taylor expansion of -1 in phi1 0.713 * [taylor]: Taking taylor expansion of phi2 in phi1 0.713 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.713 * [taylor]: Taking taylor expansion of -1 in phi1 0.713 * [taylor]: Taking taylor expansion of phi1 in phi1 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.713 * [taylor]: Taking taylor expansion of -1 in phi1 0.713 * [taylor]: Taking taylor expansion of phi2 in phi1 0.713 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.713 * [taylor]: Taking taylor expansion of -1 in phi2 0.713 * [taylor]: Taking taylor expansion of phi1 in phi2 0.713 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.713 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.714 * [taylor]: Taking taylor expansion of -1 in phi2 0.714 * [taylor]: Taking taylor expansion of phi2 in phi2 0.714 * [taylor]: Taking taylor expansion of 0 in phi2 0.715 * [taylor]: Taking taylor expansion of 0 in phi2 0.715 * [taylor]: Taking taylor expansion of 0 in phi2 0.716 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.716 * [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 0.716 * [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 0.716 * [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 0.716 * [taylor]: Taking taylor expansion of R in R 0.716 * [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 0.716 * [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 0.717 * [taylor]: Taking taylor expansion of R in lambda2 0.717 * [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 0.717 * [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 0.717 * [taylor]: Taking taylor expansion of R in lambda1 0.717 * [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 0.717 * [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 0.717 * [taylor]: Taking taylor expansion of R in phi2 0.717 * [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 0.717 * [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 0.718 * [taylor]: Taking taylor expansion of R in phi1 0.718 * [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 0.718 * [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 0.718 * [taylor]: Taking taylor expansion of R in phi1 0.718 * [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 0.718 * [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 0.719 * [taylor]: Taking taylor expansion of R in phi2 0.719 * [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 0.719 * [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 0.719 * [taylor]: Taking taylor expansion of R in lambda1 0.719 * [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 0.719 * [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 0.720 * [taylor]: Taking taylor expansion of R in lambda2 0.720 * [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 0.720 * [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 0.720 * [taylor]: Taking taylor expansion of R in R 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 R 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 R 0.722 * [taylor]: Taking taylor expansion of 0 in lambda2 0.722 * [taylor]: Taking taylor expansion of 0 in R 0.722 * [taylor]: Taking taylor expansion of 0 in R 0.723 * [taylor]: Taking taylor expansion of 0 in phi2 0.723 * [taylor]: Taking taylor expansion of 0 in lambda1 0.723 * [taylor]: Taking taylor expansion of 0 in lambda2 0.723 * [taylor]: Taking taylor expansion of 0 in R 0.723 * [taylor]: Taking taylor expansion of 0 in lambda1 0.723 * [taylor]: Taking taylor expansion of 0 in lambda2 0.723 * [taylor]: Taking taylor expansion of 0 in R 0.723 * [taylor]: Taking taylor expansion of 0 in lambda1 0.723 * [taylor]: Taking taylor expansion of 0 in lambda2 0.723 * [taylor]: Taking taylor expansion of 0 in R 0.723 * [taylor]: Taking taylor expansion of 0 in lambda2 0.723 * [taylor]: Taking taylor expansion of 0 in R 0.723 * [taylor]: Taking taylor expansion of 0 in lambda2 0.723 * [taylor]: Taking taylor expansion of 0 in R 0.724 * [taylor]: Taking taylor expansion of 0 in lambda2 0.724 * [taylor]: Taking taylor expansion of 0 in R 0.726 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.726 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.727 * [taylor]: Taking taylor expansion of R in R 0.727 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.728 * [taylor]: Taking taylor expansion of R in lambda2 0.728 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.728 * [taylor]: Taking taylor expansion of R in lambda1 0.729 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.729 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.729 * [taylor]: Taking taylor expansion of R in phi2 0.729 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.729 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.730 * [taylor]: Taking taylor expansion of R in phi1 0.730 * [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 0.730 * [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 0.731 * [taylor]: Taking taylor expansion of R in phi1 0.731 * [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 0.731 * [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 0.731 * [taylor]: Taking taylor expansion of R in phi2 0.732 * [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 0.732 * [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 0.732 * [taylor]: Taking taylor expansion of R in lambda1 0.733 * [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 0.733 * [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 0.733 * [taylor]: Taking taylor expansion of R in lambda2 0.733 * [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 0.733 * [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 0.734 * [taylor]: Taking taylor expansion of R in R 0.735 * [taylor]: Taking taylor expansion of 0 in phi2 0.735 * [taylor]: Taking taylor expansion of 0 in lambda1 0.735 * [taylor]: Taking taylor expansion of 0 in lambda2 0.735 * [taylor]: Taking taylor expansion of 0 in R 0.735 * [taylor]: Taking taylor expansion of 0 in lambda1 0.735 * [taylor]: Taking taylor expansion of 0 in lambda2 0.735 * [taylor]: Taking taylor expansion of 0 in R 0.736 * [taylor]: Taking taylor expansion of 0 in lambda2 0.736 * [taylor]: Taking taylor expansion of 0 in R 0.736 * [taylor]: Taking taylor expansion of 0 in R 0.737 * [taylor]: Taking taylor expansion of 0 in phi2 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 0.738 * [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 0.738 * [taylor]: Taking taylor expansion of 0 in R 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 lambda2 0.738 * [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 R 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.739 * [taylor]: Taking taylor expansion of 0 in R 0.741 * [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 0.741 * [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 0.741 * [taylor]: Taking taylor expansion of -1 in R 0.741 * [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 0.741 * [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 0.741 * [taylor]: Taking taylor expansion of R in R 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of -1 in lambda2 0.742 * [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 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of R in lambda2 0.742 * [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 0.742 * [taylor]: Taking taylor expansion of -1 in lambda1 0.742 * [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 0.742 * [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 0.743 * [taylor]: Taking taylor expansion of R in lambda1 0.743 * [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 0.743 * [taylor]: Taking taylor expansion of -1 in phi2 0.743 * [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 0.743 * [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 0.744 * [taylor]: Taking taylor expansion of R in phi2 0.744 * [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 0.744 * [taylor]: Taking taylor expansion of -1 in phi1 0.744 * [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 0.744 * [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 0.744 * [taylor]: Taking taylor expansion of R in phi1 0.745 * [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 0.745 * [taylor]: Taking taylor expansion of -1 in phi1 0.745 * [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 0.745 * [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 0.745 * [taylor]: Taking taylor expansion of R in phi1 0.746 * [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 0.746 * [taylor]: Taking taylor expansion of -1 in phi2 0.746 * [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 0.746 * [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 0.746 * [taylor]: Taking taylor expansion of R in phi2 0.747 * [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 0.747 * [taylor]: Taking taylor expansion of -1 in lambda1 0.747 * [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 0.747 * [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 0.748 * [taylor]: Taking taylor expansion of R in lambda1 0.748 * [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 0.748 * [taylor]: Taking taylor expansion of -1 in lambda2 0.748 * [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 0.748 * [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 0.749 * [taylor]: Taking taylor expansion of R in lambda2 0.749 * [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 0.749 * [taylor]: Taking taylor expansion of -1 in R 0.750 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.750 * [taylor]: Taking taylor expansion of R in R 0.752 * [taylor]: Taking taylor expansion of 0 in phi2 0.752 * [taylor]: Taking taylor expansion of 0 in lambda1 0.752 * [taylor]: Taking taylor expansion of 0 in lambda2 0.752 * [taylor]: Taking taylor expansion of 0 in R 0.753 * [taylor]: Taking taylor expansion of 0 in lambda1 0.753 * [taylor]: Taking taylor expansion of 0 in lambda2 0.753 * [taylor]: Taking taylor expansion of 0 in R 0.754 * [taylor]: Taking taylor expansion of 0 in lambda2 0.754 * [taylor]: Taking taylor expansion of 0 in R 0.754 * [taylor]: Taking taylor expansion of 0 in R 0.756 * [taylor]: Taking taylor expansion of 0 in phi2 0.756 * [taylor]: Taking taylor expansion of 0 in lambda1 0.756 * [taylor]: Taking taylor expansion of 0 in lambda2 0.756 * [taylor]: Taking taylor expansion of 0 in R 0.756 * [taylor]: Taking taylor expansion of 0 in lambda1 0.756 * [taylor]: Taking taylor expansion of 0 in lambda2 0.756 * [taylor]: Taking taylor expansion of 0 in R 0.757 * [taylor]: Taking taylor expansion of 0 in lambda1 0.757 * [taylor]: Taking taylor expansion of 0 in lambda2 0.757 * [taylor]: Taking taylor expansion of 0 in R 0.757 * [taylor]: Taking taylor expansion of 0 in lambda2 0.757 * [taylor]: Taking taylor expansion of 0 in R 0.757 * [taylor]: Taking taylor expansion of 0 in lambda2 0.757 * [taylor]: Taking taylor expansion of 0 in R 0.758 * [taylor]: Taking taylor expansion of 0 in lambda2 0.758 * [taylor]: Taking taylor expansion of 0 in R 0.758 * [taylor]: Taking taylor expansion of 0 in R 0.758 * [taylor]: Taking taylor expansion of 0 in R 0.758 * [taylor]: Taking taylor expansion of 0 in R 0.759 * [taylor]: Taking taylor expansion of 0 in R 0.760 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2) 0.760 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 0.760 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 0.760 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 0.760 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.760 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 0.760 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 0.760 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.761 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 0.761 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 0.761 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.761 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.761 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.761 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 0.761 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.761 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.761 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 0.761 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 0.761 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.761 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 0.761 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 0.761 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.761 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.761 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.761 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 0.761 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.761 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.761 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 0.761 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 0.761 * [taylor]: Taking taylor expansion of phi1 in phi2 0.761 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 0.761 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.761 * [taylor]: Taking taylor expansion of phi2 in phi2 0.761 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.761 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.761 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 0.761 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.761 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.761 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 0.761 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.761 * [taylor]: Taking taylor expansion of phi1 in phi1 0.761 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 0.761 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.761 * [taylor]: Taking taylor expansion of phi2 in phi1 0.761 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.761 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.761 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 0.761 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 0.761 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.761 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 0.761 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 0.761 * [taylor]: Taking taylor expansion of phi1 in phi1 0.761 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 0.761 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 0.761 * [taylor]: Taking taylor expansion of phi2 in phi1 0.761 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 0.762 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.762 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 0.762 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.762 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.762 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 0.762 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.762 * [taylor]: Taking taylor expansion of phi2 in phi2 0.762 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.762 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.762 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.762 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.762 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.762 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.762 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.762 * [taylor]: Taking taylor expansion of 0 in lambda2 0.763 * [taylor]: Taking taylor expansion of 0 in phi2 0.763 * [taylor]: Taking taylor expansion of 0 in lambda1 0.763 * [taylor]: Taking taylor expansion of 0 in lambda2 0.763 * [taylor]: Taking taylor expansion of 0 in lambda1 0.763 * [taylor]: Taking taylor expansion of 0 in lambda2 0.764 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 0.764 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.765 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 0.765 * [taylor]: Taking taylor expansion of 1/2 in phi2 0.765 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 0.765 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 0.765 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.765 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 0.765 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 0.765 * [taylor]: Taking taylor expansion of phi2 in phi2 0.765 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 0.765 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.765 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 0.765 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 0.765 * [taylor]: Taking taylor expansion of 1/2 in lambda1 0.765 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 0.765 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 0.765 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.765 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 0.765 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.765 * [taylor]: Taking taylor expansion of 0 in lambda2 0.765 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.765 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 0.765 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.766 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.766 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 0.766 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.766 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.766 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.766 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 0.766 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.766 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.766 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.766 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.766 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 0.766 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.766 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.766 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.766 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.766 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.766 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.766 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.766 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.766 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.766 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.766 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.766 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.766 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 0.766 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 0.766 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.766 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.766 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 0.766 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 0.766 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.767 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.767 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 0.767 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.767 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.767 * [taylor]: Taking taylor expansion of phi2 in phi2 0.767 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.767 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.767 * [taylor]: Taking taylor expansion of phi1 in phi2 0.767 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 0.767 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 0.767 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.767 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.767 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.767 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 0.767 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.767 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.767 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.767 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.767 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.767 * [taylor]: Taking taylor expansion of phi2 in phi1 0.767 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.767 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.767 * [taylor]: Taking taylor expansion of phi1 in phi1 0.767 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 0.767 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 0.767 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 0.767 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.767 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 0.767 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 0.767 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 0.767 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.767 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 0.767 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 0.767 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.767 * [taylor]: Taking taylor expansion of phi2 in phi1 0.768 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 0.768 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.768 * [taylor]: Taking taylor expansion of phi1 in phi1 0.768 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 0.768 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 0.768 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 0.768 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.768 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 0.768 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 0.768 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.768 * [taylor]: Taking taylor expansion of phi2 in phi2 0.768 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 0.768 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 0.768 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 0.768 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.768 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 0.768 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.768 * [taylor]: Taking taylor expansion of phi1 in phi2 0.769 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 0.769 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 0.769 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.769 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.769 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 0.769 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 0.769 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.769 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.769 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 0.769 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 0.769 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 0.769 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.769 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 0.769 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 0.769 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.770 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 0.770 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 0.770 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.770 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.770 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 0.770 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 0.770 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 0.770 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.770 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 0.770 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 0.770 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.770 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.770 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 0.770 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 0.770 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.772 * [taylor]: Taking taylor expansion of 0 in phi2 0.772 * [taylor]: Taking taylor expansion of 0 in lambda1 0.772 * [taylor]: Taking taylor expansion of 0 in lambda2 0.772 * [taylor]: Taking taylor expansion of 0 in lambda1 0.773 * [taylor]: Taking taylor expansion of 0 in lambda2 0.773 * [taylor]: Taking taylor expansion of 0 in lambda2 0.775 * [taylor]: Taking taylor expansion of 0 in phi2 0.775 * [taylor]: Taking taylor expansion of 0 in lambda1 0.775 * [taylor]: Taking taylor expansion of 0 in lambda2 0.775 * [taylor]: Taking taylor expansion of 0 in lambda1 0.775 * [taylor]: Taking taylor expansion of 0 in lambda2 0.776 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 0.776 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.776 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.776 * [taylor]: Taking taylor expansion of -1 in lambda2 0.776 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.776 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 0.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.776 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.776 * [taylor]: Taking taylor expansion of -1 in lambda2 0.776 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 0.776 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.776 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.776 * [taylor]: Taking taylor expansion of -1 in lambda2 0.776 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.776 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.776 * [taylor]: Taking taylor expansion of -1 in lambda2 0.776 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 0.776 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.776 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.776 * [taylor]: Taking taylor expansion of -1 in lambda1 0.776 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.776 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 0.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.776 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.776 * [taylor]: Taking taylor expansion of -1 in lambda1 0.776 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.776 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 0.776 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.776 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.776 * [taylor]: Taking taylor expansion of -1 in lambda1 0.776 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.776 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.776 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.776 * [taylor]: Taking taylor expansion of -1 in lambda1 0.777 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.777 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.777 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.777 * [taylor]: Taking taylor expansion of -1 in phi2 0.777 * [taylor]: Taking taylor expansion of phi1 in phi2 0.777 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 0.777 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 0.777 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 0.777 * [taylor]: Taking taylor expansion of -1 in phi2 0.777 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.777 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.777 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.777 * [taylor]: Taking taylor expansion of -1 in phi2 0.777 * [taylor]: Taking taylor expansion of phi2 in phi2 0.777 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 0.777 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 0.777 * [taylor]: Taking taylor expansion of -1 in phi2 0.777 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.777 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.777 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.777 * [taylor]: Taking taylor expansion of -1 in phi1 0.777 * [taylor]: Taking taylor expansion of phi1 in phi1 0.777 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 0.777 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 0.777 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 0.777 * [taylor]: Taking taylor expansion of -1 in phi1 0.777 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.777 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 0.777 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.777 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.777 * [taylor]: Taking taylor expansion of -1 in phi1 0.777 * [taylor]: Taking taylor expansion of phi2 in phi1 0.777 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 0.778 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 0.778 * [taylor]: Taking taylor expansion of -1 in phi1 0.778 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.778 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 0.778 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 0.778 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.778 * [taylor]: Taking taylor expansion of -1 in phi1 0.778 * [taylor]: Taking taylor expansion of phi1 in phi1 0.778 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 0.778 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 0.778 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 0.778 * [taylor]: Taking taylor expansion of -1 in phi1 0.778 * [taylor]: Taking taylor expansion of lambda1 in phi1 0.778 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 0.778 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 0.778 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.778 * [taylor]: Taking taylor expansion of -1 in phi1 0.778 * [taylor]: Taking taylor expansion of phi2 in phi1 0.778 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 0.778 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 0.778 * [taylor]: Taking taylor expansion of -1 in phi1 0.778 * [taylor]: Taking taylor expansion of lambda2 in phi1 0.779 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 0.779 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 0.779 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.779 * [taylor]: Taking taylor expansion of -1 in phi2 0.779 * [taylor]: Taking taylor expansion of phi1 in phi2 0.779 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 0.779 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 0.779 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 0.779 * [taylor]: Taking taylor expansion of -1 in phi2 0.779 * [taylor]: Taking taylor expansion of lambda1 in phi2 0.779 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 0.779 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 0.779 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.779 * [taylor]: Taking taylor expansion of -1 in phi2 0.779 * [taylor]: Taking taylor expansion of phi2 in phi2 0.779 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 0.779 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 0.779 * [taylor]: Taking taylor expansion of -1 in phi2 0.779 * [taylor]: Taking taylor expansion of lambda2 in phi2 0.780 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 0.780 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 0.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 0.780 * [taylor]: Taking taylor expansion of -1 in lambda1 0.780 * [taylor]: Taking taylor expansion of phi1 in lambda1 0.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 0.780 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 0.780 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 0.780 * [taylor]: Taking taylor expansion of -1 in lambda1 0.780 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.780 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 0.780 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 0.780 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 0.780 * [taylor]: Taking taylor expansion of -1 in lambda1 0.780 * [taylor]: Taking taylor expansion of phi2 in lambda1 0.780 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 0.780 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 0.780 * [taylor]: Taking taylor expansion of -1 in lambda1 0.780 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.780 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 0.780 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 0.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 0.780 * [taylor]: Taking taylor expansion of -1 in lambda2 0.781 * [taylor]: Taking taylor expansion of phi1 in lambda2 0.781 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 0.781 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 0.781 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 0.781 * [taylor]: Taking taylor expansion of -1 in lambda2 0.781 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.781 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 0.781 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 0.781 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 0.781 * [taylor]: Taking taylor expansion of -1 in lambda2 0.781 * [taylor]: Taking taylor expansion of phi2 in lambda2 0.781 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 0.781 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 0.781 * [taylor]: Taking taylor expansion of -1 in lambda2 0.781 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.782 * [taylor]: Taking taylor expansion of 0 in phi2 0.782 * [taylor]: Taking taylor expansion of 0 in lambda1 0.782 * [taylor]: Taking taylor expansion of 0 in lambda2 0.783 * [taylor]: Taking taylor expansion of 0 in lambda1 0.783 * [taylor]: Taking taylor expansion of 0 in lambda2 0.784 * [taylor]: Taking taylor expansion of 0 in lambda2 0.786 * [taylor]: Taking taylor expansion of 0 in phi2 0.786 * [taylor]: Taking taylor expansion of 0 in lambda1 0.786 * [taylor]: Taking taylor expansion of 0 in lambda2 0.786 * [taylor]: Taking taylor expansion of 0 in lambda1 0.786 * [taylor]: Taking taylor expansion of 0 in lambda2 0.786 * * * [progress]: simplifying candidates 0.788 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (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))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (+ (+ (log (cos phi1)) (log (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (+ (log (sin lambda1)) (log (sin lambda2)))) (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* 2 2) (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (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) 0 (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) 0.793 * * [simplify]: iteration 0 : 341 enodes (cost 1247 ) 0.799 * * [simplify]: iteration 1 : 1242 enodes (cost 1031 ) 0.822 * * [simplify]: iteration 2 : 4998 enodes (cost 1031 ) 0.925 * * [simplify]: iteration 3 : 5001 enodes (cost 1031 ) 0.930 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (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))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (sqrt (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) 4 (* (* (cos phi1) (cos phi2)) (sin lambda1)) (* (cos phi2) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (* (sin lambda1) (sin lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (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))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) R) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 0.931 * * * [progress]: adding candidates to table 1.022 * * [progress]: iteration 3 / 4 1.022 * * * [progress]: picking best candidate 1.124 * * * * [pick]: Picked # 1.124 * * * [progress]: localizing error 1.162 * * * [progress]: generating rewritten candidates 1.162 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 1.164 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 1.165 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 1.169 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.176 * * * [progress]: generating series expansions 1.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 1.177 * [approximate]: Taking taylor expansion of (log (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 1.177 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.177 * [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 1.178 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.178 * [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 1.178 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.178 * [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 1.179 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.179 * [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 1.179 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.179 * [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 1.180 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.180 * [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 1.180 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.180 * [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 1.181 * [taylor]: Taking taylor expansion of (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.181 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.183 * [taylor]: Taking taylor expansion of 0 in phi2 1.183 * [taylor]: Taking taylor expansion of 0 in lambda1 1.183 * [taylor]: Taking taylor expansion of 0 in lambda2 1.183 * [taylor]: Taking taylor expansion of 0 in lambda1 1.183 * [taylor]: Taking taylor expansion of 0 in lambda2 1.183 * [taylor]: Taking taylor expansion of 0 in lambda2 1.185 * [taylor]: Taking taylor expansion of 0 in phi2 1.185 * [taylor]: Taking taylor expansion of 0 in lambda1 1.185 * [taylor]: Taking taylor expansion of 0 in lambda2 1.185 * [taylor]: Taking taylor expansion of 0 in lambda1 1.185 * [taylor]: Taking taylor expansion of 0 in lambda2 1.186 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.186 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.186 * [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 1.187 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.187 * [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 1.188 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.188 * [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 1.188 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.188 * [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 1.189 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.189 * [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 1.190 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.190 * [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 1.191 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.191 * [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 1.191 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.191 * [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 1.193 * [taylor]: Taking taylor expansion of 0 in phi2 1.193 * [taylor]: Taking taylor expansion of 0 in lambda1 1.193 * [taylor]: Taking taylor expansion of 0 in lambda2 1.193 * [taylor]: Taking taylor expansion of 0 in lambda1 1.193 * [taylor]: Taking taylor expansion of 0 in lambda2 1.194 * [taylor]: Taking taylor expansion of 0 in lambda2 1.195 * [taylor]: Taking taylor expansion of 0 in phi2 1.195 * [taylor]: Taking taylor expansion of 0 in lambda1 1.195 * [taylor]: Taking taylor expansion of 0 in lambda2 1.195 * [taylor]: Taking taylor expansion of 0 in lambda1 1.195 * [taylor]: Taking taylor expansion of 0 in lambda2 1.196 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.196 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.196 * [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 1.197 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.197 * [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 1.198 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.198 * [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 1.199 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.199 * [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 1.199 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.199 * [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 1.200 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.200 * [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 1.201 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.201 * [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 1.202 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.202 * [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 1.205 * [taylor]: Taking taylor expansion of 0 in phi2 1.205 * [taylor]: Taking taylor expansion of 0 in lambda1 1.205 * [taylor]: Taking taylor expansion of 0 in lambda2 1.206 * [taylor]: Taking taylor expansion of 0 in lambda1 1.206 * [taylor]: Taking taylor expansion of 0 in lambda2 1.206 * [taylor]: Taking taylor expansion of 0 in lambda2 1.208 * [taylor]: Taking taylor expansion of 0 in phi2 1.208 * [taylor]: Taking taylor expansion of 0 in lambda1 1.208 * [taylor]: Taking taylor expansion of 0 in lambda2 1.208 * [taylor]: Taking taylor expansion of 0 in lambda1 1.208 * [taylor]: Taking taylor expansion of 0 in lambda2 1.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 1.209 * [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 1.209 * [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 1.209 * [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 1.209 * [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 1.210 * [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 1.210 * [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 1.210 * [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 1.211 * [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 1.211 * [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 1.211 * [taylor]: Taking taylor expansion of 0 in phi2 1.211 * [taylor]: Taking taylor expansion of 0 in lambda1 1.211 * [taylor]: Taking taylor expansion of 0 in lambda2 1.211 * [taylor]: Taking taylor expansion of 0 in lambda1 1.211 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [taylor]: Taking taylor expansion of 0 in phi2 1.212 * [taylor]: Taking taylor expansion of 0 in lambda1 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [taylor]: Taking taylor expansion of 0 in lambda1 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [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 1.212 * [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 1.213 * [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 1.213 * [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 1.213 * [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 1.214 * [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 1.214 * [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 1.215 * [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 1.215 * [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 1.216 * [taylor]: Taking taylor expansion of 0 in phi2 1.216 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [taylor]: Taking taylor expansion of 0 in phi2 1.216 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.217 * [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 1.217 * [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 1.217 * [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 1.218 * [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 1.218 * [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 1.219 * [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 1.219 * [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 1.219 * [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 1.220 * [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 1.221 * [taylor]: Taking taylor expansion of 0 in phi2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda1 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda1 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of 0 in phi2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda1 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda1 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 1.221 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.221 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.221 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.221 * [taylor]: Taking taylor expansion of phi1 in phi2 1.222 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.222 * [taylor]: Taking taylor expansion of phi2 in phi2 1.222 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.222 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.222 * [taylor]: Taking taylor expansion of phi1 in phi1 1.222 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.222 * [taylor]: Taking taylor expansion of phi2 in phi1 1.222 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.222 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.222 * [taylor]: Taking taylor expansion of phi1 in phi1 1.222 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.222 * [taylor]: Taking taylor expansion of phi2 in phi1 1.222 * [taylor]: Taking taylor expansion of 0 in phi2 1.222 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.222 * [taylor]: Taking taylor expansion of phi2 in phi2 1.222 * [taylor]: Taking taylor expansion of 0 in phi2 1.223 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 1.223 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.223 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.223 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.223 * [taylor]: Taking taylor expansion of phi2 in phi2 1.224 * [taylor]: Taking taylor expansion of 0 in phi2 1.224 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.224 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.224 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.224 * [taylor]: Taking taylor expansion of phi1 in phi2 1.224 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.224 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.224 * [taylor]: Taking taylor expansion of phi2 in phi2 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.224 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.224 * [taylor]: Taking taylor expansion of phi1 in phi1 1.224 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.224 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.224 * [taylor]: Taking taylor expansion of phi2 in phi1 1.225 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.225 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.225 * [taylor]: Taking taylor expansion of phi1 in phi1 1.225 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.225 * [taylor]: Taking taylor expansion of phi2 in phi1 1.225 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.225 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.225 * [taylor]: Taking taylor expansion of phi1 in phi2 1.225 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.225 * [taylor]: Taking taylor expansion of phi2 in phi2 1.225 * [taylor]: Taking taylor expansion of 0 in phi2 1.226 * [taylor]: Taking taylor expansion of 0 in phi2 1.227 * [taylor]: Taking taylor expansion of 0 in phi2 1.227 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.227 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.227 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.227 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.227 * [taylor]: Taking taylor expansion of -1 in phi2 1.227 * [taylor]: Taking taylor expansion of phi1 in phi2 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.228 * [taylor]: Taking taylor expansion of -1 in phi2 1.228 * [taylor]: Taking taylor expansion of phi2 in phi2 1.228 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.228 * [taylor]: Taking taylor expansion of -1 in phi1 1.228 * [taylor]: Taking taylor expansion of phi1 in phi1 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.228 * [taylor]: Taking taylor expansion of -1 in phi1 1.228 * [taylor]: Taking taylor expansion of phi2 in phi1 1.228 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.228 * [taylor]: Taking taylor expansion of -1 in phi1 1.228 * [taylor]: Taking taylor expansion of phi1 in phi1 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.228 * [taylor]: Taking taylor expansion of -1 in phi1 1.228 * [taylor]: Taking taylor expansion of phi2 in phi1 1.228 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.228 * [taylor]: Taking taylor expansion of -1 in phi2 1.228 * [taylor]: Taking taylor expansion of phi1 in phi2 1.228 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.228 * [taylor]: Taking taylor expansion of -1 in phi2 1.228 * [taylor]: Taking taylor expansion of phi2 in phi2 1.229 * [taylor]: Taking taylor expansion of 0 in phi2 1.230 * [taylor]: Taking taylor expansion of 0 in phi2 1.230 * [taylor]: Taking taylor expansion of 0 in phi2 1.230 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.231 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.231 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.231 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.231 * [taylor]: Taking taylor expansion of R in R 1.231 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.231 * [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 1.232 * [taylor]: Taking taylor expansion of R in lambda2 1.232 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.232 * [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 1.232 * [taylor]: Taking taylor expansion of R in lambda1 1.232 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.232 * [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 1.232 * [taylor]: Taking taylor expansion of R in phi2 1.232 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.232 * [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 1.233 * [taylor]: Taking taylor expansion of R in phi1 1.233 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.233 * [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 1.233 * [taylor]: Taking taylor expansion of R in phi1 1.233 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.233 * [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 1.233 * [taylor]: Taking taylor expansion of R in phi2 1.234 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.234 * [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 1.234 * [taylor]: Taking taylor expansion of R in lambda1 1.234 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.234 * [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 1.235 * [taylor]: Taking taylor expansion of R in lambda2 1.235 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.235 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.235 * [taylor]: Taking taylor expansion of R in R 1.236 * [taylor]: Taking taylor expansion of 0 in phi2 1.236 * [taylor]: Taking taylor expansion of 0 in lambda1 1.236 * [taylor]: Taking taylor expansion of 0 in lambda2 1.236 * [taylor]: Taking taylor expansion of 0 in R 1.236 * [taylor]: Taking taylor expansion of 0 in lambda1 1.236 * [taylor]: Taking taylor expansion of 0 in lambda2 1.236 * [taylor]: Taking taylor expansion of 0 in R 1.236 * [taylor]: Taking taylor expansion of 0 in lambda2 1.237 * [taylor]: Taking taylor expansion of 0 in R 1.237 * [taylor]: Taking taylor expansion of 0 in R 1.238 * [taylor]: Taking taylor expansion of 0 in phi2 1.238 * [taylor]: Taking taylor expansion of 0 in lambda1 1.238 * [taylor]: Taking taylor expansion of 0 in lambda2 1.238 * [taylor]: Taking taylor expansion of 0 in R 1.238 * [taylor]: Taking taylor expansion of 0 in lambda1 1.238 * [taylor]: Taking taylor expansion of 0 in lambda2 1.238 * [taylor]: Taking taylor expansion of 0 in R 1.238 * [taylor]: Taking taylor expansion of 0 in lambda1 1.238 * [taylor]: Taking taylor expansion of 0 in lambda2 1.238 * [taylor]: Taking taylor expansion of 0 in R 1.238 * [taylor]: Taking taylor expansion of 0 in lambda2 1.238 * [taylor]: Taking taylor expansion of 0 in R 1.238 * [taylor]: Taking taylor expansion of 0 in lambda2 1.238 * [taylor]: Taking taylor expansion of 0 in R 1.239 * [taylor]: Taking taylor expansion of 0 in lambda2 1.239 * [taylor]: Taking taylor expansion of 0 in R 1.240 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.240 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.240 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.240 * [taylor]: Taking taylor expansion of R in R 1.240 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.240 * [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 1.241 * [taylor]: Taking taylor expansion of R in lambda2 1.241 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.241 * [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 1.242 * [taylor]: Taking taylor expansion of R in lambda1 1.242 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.242 * [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 1.242 * [taylor]: Taking taylor expansion of R in phi2 1.243 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.243 * [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 1.243 * [taylor]: Taking taylor expansion of R in phi1 1.243 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.243 * [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 1.244 * [taylor]: Taking taylor expansion of R in phi1 1.244 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.244 * [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 1.245 * [taylor]: Taking taylor expansion of R in phi2 1.245 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.245 * [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 1.245 * [taylor]: Taking taylor expansion of R in lambda1 1.246 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.246 * [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 1.246 * [taylor]: Taking taylor expansion of R in lambda2 1.247 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.247 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.247 * [taylor]: Taking taylor expansion of R in R 1.248 * [taylor]: Taking taylor expansion of 0 in phi2 1.248 * [taylor]: Taking taylor expansion of 0 in lambda1 1.248 * [taylor]: Taking taylor expansion of 0 in lambda2 1.248 * [taylor]: Taking taylor expansion of 0 in R 1.249 * [taylor]: Taking taylor expansion of 0 in lambda1 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [taylor]: Taking taylor expansion of 0 in R 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [taylor]: Taking taylor expansion of 0 in R 1.250 * [taylor]: Taking taylor expansion of 0 in R 1.250 * [taylor]: Taking taylor expansion of 0 in phi2 1.250 * [taylor]: Taking taylor expansion of 0 in lambda1 1.250 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [taylor]: Taking taylor expansion of 0 in lambda1 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [taylor]: Taking taylor expansion of 0 in lambda1 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.252 * [taylor]: Taking taylor expansion of 0 in lambda2 1.252 * [taylor]: Taking taylor expansion of 0 in R 1.252 * [taylor]: Taking taylor expansion of 0 in R 1.252 * [taylor]: Taking taylor expansion of 0 in R 1.252 * [taylor]: Taking taylor expansion of 0 in R 1.252 * [taylor]: Taking taylor expansion of 0 in R 1.254 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.254 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.254 * [taylor]: Taking taylor expansion of -1 in R 1.254 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.254 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.254 * [taylor]: Taking taylor expansion of R in R 1.254 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.255 * [taylor]: Taking taylor expansion of -1 in lambda2 1.255 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.255 * [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 1.255 * [taylor]: Taking taylor expansion of R in lambda2 1.255 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.255 * [taylor]: Taking taylor expansion of -1 in lambda1 1.255 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.255 * [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 1.256 * [taylor]: Taking taylor expansion of R in lambda1 1.256 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.256 * [taylor]: Taking taylor expansion of -1 in phi2 1.256 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.256 * [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 1.257 * [taylor]: Taking taylor expansion of R in phi2 1.257 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.257 * [taylor]: Taking taylor expansion of -1 in phi1 1.257 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.257 * [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 1.257 * [taylor]: Taking taylor expansion of R in phi1 1.258 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.258 * [taylor]: Taking taylor expansion of -1 in phi1 1.258 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.258 * [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 1.258 * [taylor]: Taking taylor expansion of R in phi1 1.259 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.259 * [taylor]: Taking taylor expansion of -1 in phi2 1.259 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.259 * [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 1.259 * [taylor]: Taking taylor expansion of R in phi2 1.260 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.260 * [taylor]: Taking taylor expansion of -1 in lambda1 1.260 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.260 * [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 1.261 * [taylor]: Taking taylor expansion of R in lambda1 1.261 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.261 * [taylor]: Taking taylor expansion of -1 in lambda2 1.261 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.261 * [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 1.262 * [taylor]: Taking taylor expansion of R in lambda2 1.262 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.262 * [taylor]: Taking taylor expansion of -1 in R 1.262 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.263 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.263 * [taylor]: Taking taylor expansion of R in R 1.265 * [taylor]: Taking taylor expansion of 0 in phi2 1.265 * [taylor]: Taking taylor expansion of 0 in lambda1 1.265 * [taylor]: Taking taylor expansion of 0 in lambda2 1.265 * [taylor]: Taking taylor expansion of 0 in R 1.266 * [taylor]: Taking taylor expansion of 0 in lambda1 1.266 * [taylor]: Taking taylor expansion of 0 in lambda2 1.266 * [taylor]: Taking taylor expansion of 0 in R 1.267 * [taylor]: Taking taylor expansion of 0 in lambda2 1.267 * [taylor]: Taking taylor expansion of 0 in R 1.267 * [taylor]: Taking taylor expansion of 0 in R 1.269 * [taylor]: Taking taylor expansion of 0 in phi2 1.269 * [taylor]: Taking taylor expansion of 0 in lambda1 1.269 * [taylor]: Taking taylor expansion of 0 in lambda2 1.269 * [taylor]: Taking taylor expansion of 0 in R 1.269 * [taylor]: Taking taylor expansion of 0 in lambda1 1.269 * [taylor]: Taking taylor expansion of 0 in lambda2 1.269 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [taylor]: Taking taylor expansion of 0 in lambda1 1.270 * [taylor]: Taking taylor expansion of 0 in lambda2 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [taylor]: Taking taylor expansion of 0 in lambda2 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [taylor]: Taking taylor expansion of 0 in lambda2 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.271 * [taylor]: Taking taylor expansion of 0 in lambda2 1.271 * [taylor]: Taking taylor expansion of 0 in R 1.271 * [taylor]: Taking taylor expansion of 0 in R 1.271 * [taylor]: Taking taylor expansion of 0 in R 1.271 * [taylor]: Taking taylor expansion of 0 in R 1.272 * [taylor]: Taking taylor expansion of 0 in R 1.273 * * * [progress]: simplifying candidates 1.274 * [simplify]: Simplifying using # : (log (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log 1) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (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)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) (log (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (acos (+ (* (sin 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) 1.282 * * [simplify]: iteration 0 : 235 enodes (cost 1526 ) 1.286 * * [simplify]: iteration 1 : 613 enodes (cost 1313 ) 1.295 * * [simplify]: iteration 2 : 1305 enodes (cost 1294 ) 1.309 * * [simplify]: iteration 3 : 1952 enodes (cost 1292 ) 1.334 * * [simplify]: iteration 4 : 4481 enodes (cost 1292 ) 1.471 * * [simplify]: iteration 5 : 5001 enodes (cost 1292 ) 1.476 * [simplify]: Simplified to: (* 2 (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) 0 (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (pow (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (pow (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 2) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (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)) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (pow (exp R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (* (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 3) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (sqrt R) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (cbrt R)) (cbrt R)) (* (sqrt R) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* R (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (* R (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) 1.477 * * * [progress]: adding candidates to table 1.567 * * [progress]: iteration 4 / 4 1.568 * * * [progress]: picking best candidate 1.676 * * * * [pick]: Picked # 1.676 * * * [progress]: localizing error 1.712 * * * [progress]: generating rewritten candidates 1.712 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.715 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.716 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.721 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.725 * * * [progress]: generating series expansions 1.725 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.725 * [approximate]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.725 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda2 1.725 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.725 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.725 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda2 1.725 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.725 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.725 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda2 1.725 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.725 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.726 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.726 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.726 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in lambda1 1.726 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.726 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.726 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in lambda1 1.726 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.726 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.726 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in lambda1 1.726 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.726 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.726 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.726 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.726 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi2 1.726 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.726 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.726 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi2 1.726 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.726 * [taylor]: Taking taylor expansion of phi1 in phi2 1.726 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.726 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.726 * [taylor]: Taking taylor expansion of phi2 in phi2 1.726 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.726 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.726 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.726 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.726 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.726 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.726 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.726 * [taylor]: Taking taylor expansion of phi1 in phi1 1.726 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.726 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.726 * [taylor]: Taking taylor expansion of phi2 in phi1 1.726 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.726 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.726 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) in phi1 1.726 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.726 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.726 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (sin lambda2))) in phi1 1.726 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.726 * [taylor]: Taking taylor expansion of phi1 in phi1 1.726 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi1 1.726 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.726 * [taylor]: Taking taylor expansion of phi2 in phi1 1.726 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.726 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.727 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.727 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.727 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.727 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.727 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.727 * [taylor]: Taking taylor expansion of phi2 in phi2 1.727 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.727 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.727 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.727 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.727 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.727 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.727 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.727 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in phi2 1.728 * [taylor]: Taking taylor expansion of 0 in lambda1 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.728 * [taylor]: Taking taylor expansion of 0 in lambda1 1.728 * [taylor]: Taking taylor expansion of 0 in lambda2 1.729 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.729 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.730 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.730 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.730 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.730 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.730 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.730 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.730 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.730 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.730 * [taylor]: Taking taylor expansion of phi2 in phi2 1.730 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.730 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.730 * [taylor]: Taking taylor expansion of (neg (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.730 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.730 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.730 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.730 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.730 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.730 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.730 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.730 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda2 1.730 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.731 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.731 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda2 1.731 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.731 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.731 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.731 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda2 1.731 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.731 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.731 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.731 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.731 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.731 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.731 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.731 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.731 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.731 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.731 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.731 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.731 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.731 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.731 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.731 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.731 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.731 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.731 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi2 1.731 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.731 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.731 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.731 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi2 1.731 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.731 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.732 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.732 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi2 1.732 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.732 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.732 * [taylor]: Taking taylor expansion of phi2 in phi2 1.732 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.732 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.732 * [taylor]: Taking taylor expansion of phi1 in phi2 1.732 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.732 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.732 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.732 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.732 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.732 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.732 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.732 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.732 * [taylor]: Taking taylor expansion of phi2 in phi1 1.732 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.732 * [taylor]: Taking taylor expansion of phi1 in phi1 1.732 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in phi1 1.732 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.732 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.732 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in phi1 1.732 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.732 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.732 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in phi1 1.732 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.732 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.732 * [taylor]: Taking taylor expansion of phi2 in phi1 1.733 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.733 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.733 * [taylor]: Taking taylor expansion of phi1 in phi1 1.733 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in phi2 1.733 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.733 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.733 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.733 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in phi2 1.733 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.733 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.733 * [taylor]: Taking taylor expansion of phi2 in phi2 1.733 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in phi2 1.733 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.733 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.733 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.733 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.733 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.734 * [taylor]: Taking taylor expansion of phi1 in phi2 1.734 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))) in lambda1 1.734 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.734 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.734 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.734 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))) in lambda1 1.734 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.734 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.734 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.734 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (cos (/ 1 phi1))) in lambda1 1.734 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.734 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.734 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.734 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.734 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.734 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.735 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))))) in lambda2 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.735 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.735 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.735 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi1)))) in lambda2 1.735 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.735 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.735 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.735 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (cos (/ 1 phi1))) in lambda2 1.735 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.735 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.735 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.735 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.735 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.735 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.737 * [taylor]: Taking taylor expansion of 0 in phi2 1.737 * [taylor]: Taking taylor expansion of 0 in lambda1 1.737 * [taylor]: Taking taylor expansion of 0 in lambda2 1.738 * [taylor]: Taking taylor expansion of 0 in lambda1 1.738 * [taylor]: Taking taylor expansion of 0 in lambda2 1.738 * [taylor]: Taking taylor expansion of 0 in lambda2 1.742 * [taylor]: Taking taylor expansion of 0 in phi2 1.742 * [taylor]: Taking taylor expansion of 0 in lambda1 1.742 * [taylor]: Taking taylor expansion of 0 in lambda2 1.742 * [taylor]: Taking taylor expansion of 0 in lambda1 1.742 * [taylor]: Taking taylor expansion of 0 in lambda2 1.742 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.742 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.742 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.743 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.743 * [taylor]: Taking taylor expansion of -1 in lambda2 1.743 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.743 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.743 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.743 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.743 * [taylor]: Taking taylor expansion of -1 in lambda2 1.743 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.743 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.743 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.743 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.743 * [taylor]: Taking taylor expansion of -1 in lambda2 1.743 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.743 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.743 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.743 * [taylor]: Taking taylor expansion of -1 in lambda2 1.743 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.743 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.743 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.743 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.743 * [taylor]: Taking taylor expansion of -1 in lambda1 1.743 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.743 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.743 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.743 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.743 * [taylor]: Taking taylor expansion of -1 in lambda1 1.743 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.743 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.743 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.743 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.743 * [taylor]: Taking taylor expansion of -1 in lambda1 1.743 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.743 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.743 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.743 * [taylor]: Taking taylor expansion of -1 in lambda1 1.743 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.743 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.744 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.744 * [taylor]: Taking taylor expansion of -1 in phi2 1.744 * [taylor]: Taking taylor expansion of phi1 in phi2 1.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.744 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.744 * [taylor]: Taking taylor expansion of -1 in phi2 1.744 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.744 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.744 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.744 * [taylor]: Taking taylor expansion of -1 in phi2 1.744 * [taylor]: Taking taylor expansion of phi2 in phi2 1.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.744 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.744 * [taylor]: Taking taylor expansion of -1 in phi2 1.744 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.744 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.744 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.744 * [taylor]: Taking taylor expansion of -1 in phi1 1.744 * [taylor]: Taking taylor expansion of phi1 in phi1 1.744 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.744 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.744 * [taylor]: Taking taylor expansion of -1 in phi1 1.744 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.744 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.744 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.744 * [taylor]: Taking taylor expansion of -1 in phi1 1.744 * [taylor]: Taking taylor expansion of phi2 in phi1 1.744 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.744 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.744 * [taylor]: Taking taylor expansion of -1 in phi1 1.744 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.744 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi1 1.744 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.745 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.745 * [taylor]: Taking taylor expansion of -1 in phi1 1.745 * [taylor]: Taking taylor expansion of phi1 in phi1 1.745 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi1 1.745 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.745 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.745 * [taylor]: Taking taylor expansion of -1 in phi1 1.745 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.745 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi1 1.745 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.745 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.745 * [taylor]: Taking taylor expansion of -1 in phi1 1.745 * [taylor]: Taking taylor expansion of phi2 in phi1 1.745 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.745 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.745 * [taylor]: Taking taylor expansion of -1 in phi1 1.745 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.745 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in phi2 1.745 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.745 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.746 * [taylor]: Taking taylor expansion of -1 in phi2 1.746 * [taylor]: Taking taylor expansion of phi1 in phi2 1.746 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in phi2 1.746 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.746 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.746 * [taylor]: Taking taylor expansion of -1 in phi2 1.746 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.746 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in phi2 1.746 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.746 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.746 * [taylor]: Taking taylor expansion of -1 in phi2 1.746 * [taylor]: Taking taylor expansion of phi2 in phi2 1.746 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.746 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.746 * [taylor]: Taking taylor expansion of -1 in phi2 1.746 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.746 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda1 1.746 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.746 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.746 * [taylor]: Taking taylor expansion of -1 in lambda1 1.746 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.747 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda1 1.747 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.747 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.747 * [taylor]: Taking taylor expansion of -1 in lambda1 1.747 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.747 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda1 1.747 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.747 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.747 * [taylor]: Taking taylor expansion of -1 in lambda1 1.747 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.747 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.747 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.747 * [taylor]: Taking taylor expansion of -1 in lambda1 1.747 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.747 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) in lambda2 1.747 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.747 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.747 * [taylor]: Taking taylor expansion of -1 in lambda2 1.747 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.747 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))) in lambda2 1.747 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.748 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.748 * [taylor]: Taking taylor expansion of -1 in lambda2 1.748 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.748 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))) in lambda2 1.748 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.748 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.748 * [taylor]: Taking taylor expansion of -1 in lambda2 1.748 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.748 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.748 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.748 * [taylor]: Taking taylor expansion of -1 in lambda2 1.748 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.749 * [taylor]: Taking taylor expansion of 0 in phi2 1.749 * [taylor]: Taking taylor expansion of 0 in lambda1 1.749 * [taylor]: Taking taylor expansion of 0 in lambda2 1.750 * [taylor]: Taking taylor expansion of 0 in lambda1 1.750 * [taylor]: Taking taylor expansion of 0 in lambda2 1.751 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * [taylor]: Taking taylor expansion of 0 in phi2 1.753 * [taylor]: Taking taylor expansion of 0 in lambda1 1.753 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * [taylor]: Taking taylor expansion of 0 in lambda1 1.753 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.754 * [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 1.754 * [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 1.754 * [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 1.754 * [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 1.754 * [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 1.755 * [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 1.755 * [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 1.755 * [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 1.756 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.756 * [taylor]: Taking taylor expansion of 0 in phi2 1.756 * [taylor]: Taking taylor expansion of 0 in lambda1 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.756 * [taylor]: Taking taylor expansion of 0 in lambda1 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.756 * [taylor]: Taking taylor expansion of 0 in phi2 1.756 * [taylor]: Taking taylor expansion of 0 in lambda1 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.756 * [taylor]: Taking taylor expansion of 0 in lambda1 1.756 * [taylor]: Taking taylor expansion of 0 in lambda2 1.757 * [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 1.757 * [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 1.758 * [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 1.758 * [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 1.758 * [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 1.759 * [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 1.759 * [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 1.759 * [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 1.760 * [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 1.761 * [taylor]: Taking taylor expansion of 0 in phi2 1.761 * [taylor]: Taking taylor expansion of 0 in lambda1 1.761 * [taylor]: Taking taylor expansion of 0 in lambda2 1.761 * [taylor]: Taking taylor expansion of 0 in lambda1 1.761 * [taylor]: Taking taylor expansion of 0 in lambda2 1.761 * [taylor]: Taking taylor expansion of 0 in lambda2 1.761 * [taylor]: Taking taylor expansion of 0 in phi2 1.761 * [taylor]: Taking taylor expansion of 0 in lambda1 1.761 * [taylor]: Taking taylor expansion of 0 in lambda2 1.761 * [taylor]: Taking taylor expansion of 0 in lambda1 1.761 * [taylor]: Taking taylor expansion of 0 in lambda2 1.762 * [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 1.762 * [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 1.762 * [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 1.763 * [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 phi2 1.763 * [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 phi1 1.763 * [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 phi1 1.764 * [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 1.764 * [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 1.765 * [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 1.765 * [taylor]: Taking taylor expansion of 0 in phi2 1.766 * [taylor]: Taking taylor expansion of 0 in lambda1 1.766 * [taylor]: Taking taylor expansion of 0 in lambda2 1.766 * [taylor]: Taking taylor expansion of 0 in lambda1 1.766 * [taylor]: Taking taylor expansion of 0 in lambda2 1.766 * [taylor]: Taking taylor expansion of 0 in lambda2 1.766 * [taylor]: Taking taylor expansion of 0 in phi2 1.766 * [taylor]: Taking taylor expansion of 0 in lambda1 1.766 * [taylor]: Taking taylor expansion of 0 in lambda2 1.766 * [taylor]: Taking taylor expansion of 0 in lambda1 1.766 * [taylor]: Taking taylor expansion of 0 in lambda2 1.766 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.766 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.766 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.766 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.766 * [taylor]: Taking taylor expansion of phi1 in phi2 1.766 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.766 * [taylor]: Taking taylor expansion of phi2 in phi2 1.766 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.766 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.766 * [taylor]: Taking taylor expansion of phi1 in phi1 1.766 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.766 * [taylor]: Taking taylor expansion of phi2 in phi1 1.767 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.767 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.767 * [taylor]: Taking taylor expansion of phi1 in phi1 1.767 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.767 * [taylor]: Taking taylor expansion of phi2 in phi1 1.767 * [taylor]: Taking taylor expansion of 0 in phi2 1.767 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.767 * [taylor]: Taking taylor expansion of phi2 in phi2 1.767 * [taylor]: Taking taylor expansion of 0 in phi2 1.768 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 1.768 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.768 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.768 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.768 * [taylor]: Taking taylor expansion of phi2 in phi2 1.769 * [taylor]: Taking taylor expansion of 0 in phi2 1.769 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.769 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.769 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.769 * [taylor]: Taking taylor expansion of phi1 in phi2 1.769 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.769 * [taylor]: Taking taylor expansion of phi2 in phi2 1.769 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.769 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.769 * [taylor]: Taking taylor expansion of phi1 in phi1 1.769 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.769 * [taylor]: Taking taylor expansion of phi2 in phi1 1.769 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.769 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.769 * [taylor]: Taking taylor expansion of phi1 in phi1 1.769 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.769 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.770 * [taylor]: Taking taylor expansion of phi2 in phi1 1.770 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.770 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.770 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.770 * [taylor]: Taking taylor expansion of phi1 in phi2 1.770 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.770 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.770 * [taylor]: Taking taylor expansion of phi2 in phi2 1.770 * [taylor]: Taking taylor expansion of 0 in phi2 1.771 * [taylor]: Taking taylor expansion of 0 in phi2 1.772 * [taylor]: Taking taylor expansion of 0 in phi2 1.772 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.772 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.772 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.772 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.772 * [taylor]: Taking taylor expansion of -1 in phi2 1.772 * [taylor]: Taking taylor expansion of phi1 in phi2 1.772 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.772 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.772 * [taylor]: Taking taylor expansion of -1 in phi2 1.772 * [taylor]: Taking taylor expansion of phi2 in phi2 1.772 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.772 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.772 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.772 * [taylor]: Taking taylor expansion of -1 in phi1 1.772 * [taylor]: Taking taylor expansion of phi1 in phi1 1.772 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.772 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.772 * [taylor]: Taking taylor expansion of -1 in phi1 1.772 * [taylor]: Taking taylor expansion of phi2 in phi1 1.772 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.772 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.772 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.772 * [taylor]: Taking taylor expansion of -1 in phi1 1.772 * [taylor]: Taking taylor expansion of phi1 in phi1 1.773 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.773 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.773 * [taylor]: Taking taylor expansion of -1 in phi1 1.773 * [taylor]: Taking taylor expansion of phi2 in phi1 1.773 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.773 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.773 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.773 * [taylor]: Taking taylor expansion of -1 in phi2 1.773 * [taylor]: Taking taylor expansion of phi1 in phi2 1.773 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.773 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.773 * [taylor]: Taking taylor expansion of -1 in phi2 1.773 * [taylor]: Taking taylor expansion of phi2 in phi2 1.774 * [taylor]: Taking taylor expansion of 0 in phi2 1.774 * [taylor]: Taking taylor expansion of 0 in phi2 1.775 * [taylor]: Taking taylor expansion of 0 in phi2 1.775 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.776 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.776 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.776 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.776 * [taylor]: Taking taylor expansion of R in R 1.776 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.776 * [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 1.776 * [taylor]: Taking taylor expansion of R in lambda2 1.776 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.776 * [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 1.777 * [taylor]: Taking taylor expansion of R in lambda1 1.777 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.777 * [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 1.777 * [taylor]: Taking taylor expansion of R in phi2 1.777 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.777 * [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 1.777 * [taylor]: Taking taylor expansion of R in phi1 1.777 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.777 * [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 1.778 * [taylor]: Taking taylor expansion of R in phi1 1.778 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.778 * [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 1.778 * [taylor]: Taking taylor expansion of R in phi2 1.779 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.779 * [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 1.779 * [taylor]: Taking taylor expansion of R in lambda1 1.779 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.779 * [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 1.779 * [taylor]: Taking taylor expansion of R in lambda2 1.780 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.780 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.780 * [taylor]: Taking taylor expansion of R in R 1.781 * [taylor]: Taking taylor expansion of 0 in phi2 1.781 * [taylor]: Taking taylor expansion of 0 in lambda1 1.781 * [taylor]: Taking taylor expansion of 0 in lambda2 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.781 * [taylor]: Taking taylor expansion of 0 in lambda1 1.781 * [taylor]: Taking taylor expansion of 0 in lambda2 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.781 * [taylor]: Taking taylor expansion of 0 in lambda2 1.781 * [taylor]: Taking taylor expansion of 0 in R 1.782 * [taylor]: Taking taylor expansion of 0 in R 1.783 * [taylor]: Taking taylor expansion of 0 in phi2 1.783 * [taylor]: Taking taylor expansion of 0 in lambda1 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in R 1.783 * [taylor]: Taking taylor expansion of 0 in lambda1 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in R 1.783 * [taylor]: Taking taylor expansion of 0 in lambda1 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in R 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in R 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in R 1.783 * [taylor]: Taking taylor expansion of 0 in lambda2 1.783 * [taylor]: Taking taylor expansion of 0 in R 1.784 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.784 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.784 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.785 * [taylor]: Taking taylor expansion of R in R 1.785 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.785 * [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 1.786 * [taylor]: Taking taylor expansion of R in lambda2 1.786 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.786 * [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 1.786 * [taylor]: Taking taylor expansion of R in lambda1 1.787 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.787 * [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 1.787 * [taylor]: Taking taylor expansion of R in phi2 1.787 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.787 * [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 1.788 * [taylor]: Taking taylor expansion of R in phi1 1.788 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.789 * [taylor]: Taking taylor expansion of R in phi1 1.789 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.789 * [taylor]: Taking taylor expansion of R in phi2 1.790 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.790 * [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 1.790 * [taylor]: Taking taylor expansion of R in lambda1 1.790 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.791 * [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 1.791 * [taylor]: Taking taylor expansion of R in lambda2 1.791 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.792 * [taylor]: Taking taylor expansion of R in R 1.793 * [taylor]: Taking taylor expansion of 0 in phi2 1.793 * [taylor]: Taking taylor expansion of 0 in lambda1 1.793 * [taylor]: Taking taylor expansion of 0 in lambda2 1.793 * [taylor]: Taking taylor expansion of 0 in R 1.793 * [taylor]: Taking taylor expansion of 0 in lambda1 1.793 * [taylor]: Taking taylor expansion of 0 in lambda2 1.793 * [taylor]: Taking taylor expansion of 0 in R 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in R 1.794 * [taylor]: Taking taylor expansion of 0 in R 1.795 * [taylor]: Taking taylor expansion of 0 in phi2 1.795 * [taylor]: Taking taylor expansion of 0 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [taylor]: Taking taylor expansion of 0 in R 1.795 * [taylor]: Taking taylor expansion of 0 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in lambda1 1.796 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in lambda2 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.796 * [taylor]: Taking taylor expansion of 0 in R 1.797 * [taylor]: Taking taylor expansion of 0 in R 1.798 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.798 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.799 * [taylor]: Taking taylor expansion of -1 in R 1.799 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.799 * [taylor]: Taking taylor expansion of R in R 1.799 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.799 * [taylor]: Taking taylor expansion of -1 in lambda2 1.799 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.799 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.800 * [taylor]: Taking taylor expansion of R in lambda2 1.800 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.800 * [taylor]: Taking taylor expansion of -1 in lambda1 1.800 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.800 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.801 * [taylor]: Taking taylor expansion of R in lambda1 1.801 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.801 * [taylor]: Taking taylor expansion of -1 in phi2 1.801 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.801 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.801 * [taylor]: Taking taylor expansion of R in phi2 1.802 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.802 * [taylor]: Taking taylor expansion of -1 in phi1 1.802 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.802 * [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 1.802 * [taylor]: Taking taylor expansion of R in phi1 1.802 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.803 * [taylor]: Taking taylor expansion of -1 in phi1 1.803 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.803 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.803 * [taylor]: Taking taylor expansion of R in phi1 1.804 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.804 * [taylor]: Taking taylor expansion of -1 in phi2 1.804 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.804 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.804 * [taylor]: Taking taylor expansion of R in phi2 1.805 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.805 * [taylor]: Taking taylor expansion of -1 in lambda1 1.805 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.805 * [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 1.805 * [taylor]: Taking taylor expansion of R in lambda1 1.806 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.806 * [taylor]: Taking taylor expansion of -1 in lambda2 1.806 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.806 * [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 1.807 * [taylor]: Taking taylor expansion of R in lambda2 1.807 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.807 * [taylor]: Taking taylor expansion of -1 in R 1.807 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.807 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.808 * [taylor]: Taking taylor expansion of R in R 1.810 * [taylor]: Taking taylor expansion of 0 in phi2 1.810 * [taylor]: Taking taylor expansion of 0 in lambda1 1.810 * [taylor]: Taking taylor expansion of 0 in lambda2 1.810 * [taylor]: Taking taylor expansion of 0 in R 1.811 * [taylor]: Taking taylor expansion of 0 in lambda1 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [taylor]: Taking taylor expansion of 0 in R 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [taylor]: Taking taylor expansion of 0 in R 1.812 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [taylor]: Taking taylor expansion of 0 in phi2 1.814 * [taylor]: Taking taylor expansion of 0 in lambda1 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [taylor]: Taking taylor expansion of 0 in lambda1 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in lambda1 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.816 * [taylor]: Taking taylor expansion of 0 in lambda2 1.816 * [taylor]: Taking taylor expansion of 0 in R 1.816 * [taylor]: Taking taylor expansion of 0 in R 1.816 * [taylor]: Taking taylor expansion of 0 in R 1.816 * [taylor]: Taking taylor expansion of 0 in R 1.817 * [taylor]: Taking taylor expansion of 0 in R 1.819 * * * [progress]: simplifying candidates 1.820 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (cbrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (cbrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (sqrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (sqrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log 1) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (log (exp (* (cos phi1) (cos phi2)))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (log (exp (* (cos phi1) (cos phi2)))) (log (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (exp (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (* (* (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (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))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R) 0 (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin 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) 1.826 * * [simplify]: iteration 0 : 223 enodes (cost 1211 ) 1.829 * * [simplify]: iteration 1 : 700 enodes (cost 1022 ) 1.841 * * [simplify]: iteration 2 : 2165 enodes (cost 1017 ) 1.879 * * [simplify]: iteration 3 : 5001 enodes (cost 1010 ) 1.883 * [simplify]: Simplified to: (* 2 (log (cbrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (log (cbrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (sqrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (log (sqrt (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2)) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (cos phi1) (cos phi2)) (+ (log (* (cos phi1) (cos phi2))) (log (* (sin lambda1) (sin lambda2)))) (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))) (* (cbrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (pow (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3) (sqrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (pow (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (pow (exp R) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (pow (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (pow (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2)))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (* (cbrt R) (cbrt R)) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (* (sqrt R) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (log (exp (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (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) 0 (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.883 * * * [progress]: adding candidates to table 1.963 * [progress]: [Phase 3 of 3] Extracting. 1.963 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # #) 1.988 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 1.988 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # # # # #) 2.164 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # # # # #) 2.346 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # # # #) 2.523 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # # # #) 2.706 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # # # #) 2.884 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # # # #) 3.063 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # # # #) 3.242 * * * [regime]: Found split indices: #