15.199 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 3.212 * * * [progress]: [2/2] Setting up program. 3.218 * [progress]: [Phase 2 of 3] Improving. 3.219 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3.223 * * [simplify]: iteration 0 : 95 enodes (cost 19 ) 3.223 * * [simplify]: iteration 1 : 95 enodes (cost 19 ) 3.224 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 3.229 * * [progress]: iteration 1 / 4 3.229 * * * [progress]: picking best candidate 3.235 * * * * [pick]: Picked # 3.235 * * * [progress]: localizing error 3.258 * * * [progress]: generating rewritten candidates 3.258 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 3.262 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.263 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 3.272 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 3.276 * * * [progress]: generating series expansions 3.276 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 3.277 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 3.277 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.277 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 3.277 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.277 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.277 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.277 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.277 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.277 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.277 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 3.277 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 3.277 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.277 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.278 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.278 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.278 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.278 * [taylor]: Taking taylor expansion of (neg (sin (neg lambda2))) in lambda2 3.278 * [taylor]: Taking taylor expansion of (sin (neg lambda2)) in lambda2 3.278 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.278 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.279 * [taylor]: Taking taylor expansion of (neg (* 1/2 (cos (neg lambda2)))) in lambda2 3.279 * [taylor]: Taking taylor expansion of (* 1/2 (cos (neg lambda2))) in lambda2 3.279 * [taylor]: Taking taylor expansion of 1/2 in lambda2 3.279 * [taylor]: Taking taylor expansion of (cos (neg lambda2)) in lambda2 3.279 * [taylor]: Taking taylor expansion of (neg lambda2) in lambda2 3.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.279 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.279 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.279 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.279 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.279 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.279 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.279 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.279 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.279 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.279 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.279 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.279 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.279 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 3.279 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 3.279 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.279 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.280 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.280 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.280 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.280 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 3.280 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.280 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.280 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.280 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.280 * [taylor]: Taking taylor expansion of 0 in lambda2 3.280 * [taylor]: Taking taylor expansion of 0 in lambda2 3.280 * [taylor]: Taking taylor expansion of 0 in lambda2 3.280 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.280 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.280 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.280 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.280 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.280 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.280 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.280 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.280 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.280 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.280 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.280 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.280 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.281 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 3.281 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 3.281 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.281 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.281 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.281 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.281 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.281 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 3.281 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.281 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.281 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.281 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.281 * [taylor]: Taking taylor expansion of 0 in lambda2 3.281 * [taylor]: Taking taylor expansion of 0 in lambda2 3.281 * [taylor]: Taking taylor expansion of 0 in lambda2 3.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 3.281 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 3.281 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.282 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.282 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.282 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.282 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.282 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.282 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.283 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.283 * [taylor]: Taking taylor expansion of 0 in phi2 3.283 * [taylor]: Taking taylor expansion of 0 in lambda1 3.283 * [taylor]: Taking taylor expansion of 0 in lambda2 3.283 * [taylor]: Taking taylor expansion of 0 in lambda1 3.283 * [taylor]: Taking taylor expansion of 0 in lambda2 3.283 * [taylor]: Taking taylor expansion of 0 in lambda2 3.283 * [taylor]: Taking taylor expansion of 0 in phi2 3.283 * [taylor]: Taking taylor expansion of 0 in lambda1 3.283 * [taylor]: Taking taylor expansion of 0 in lambda2 3.283 * [taylor]: Taking taylor expansion of 0 in lambda1 3.283 * [taylor]: Taking taylor expansion of 0 in lambda2 3.284 * [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 3.284 * [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 3.284 * [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 3.284 * [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 3.284 * [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 3.284 * [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 3.285 * [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 3.285 * [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 3.285 * [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 3.286 * [taylor]: Taking taylor expansion of 0 in phi2 3.286 * [taylor]: Taking taylor expansion of 0 in lambda1 3.286 * [taylor]: Taking taylor expansion of 0 in lambda2 3.286 * [taylor]: Taking taylor expansion of 0 in lambda1 3.286 * [taylor]: Taking taylor expansion of 0 in lambda2 3.286 * [taylor]: Taking taylor expansion of 0 in lambda2 3.286 * [taylor]: Taking taylor expansion of 0 in phi2 3.286 * [taylor]: Taking taylor expansion of 0 in lambda1 3.286 * [taylor]: Taking taylor expansion of 0 in lambda2 3.286 * [taylor]: Taking taylor expansion of 0 in lambda1 3.286 * [taylor]: Taking taylor expansion of 0 in lambda2 3.286 * [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 3.286 * [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 3.287 * [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 3.287 * [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 3.287 * [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 3.287 * [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 3.287 * [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 3.288 * [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 3.288 * [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 3.288 * [taylor]: Taking taylor expansion of 0 in phi2 3.288 * [taylor]: Taking taylor expansion of 0 in lambda1 3.288 * [taylor]: Taking taylor expansion of 0 in lambda2 3.288 * [taylor]: Taking taylor expansion of 0 in lambda1 3.288 * [taylor]: Taking taylor expansion of 0 in lambda2 3.288 * [taylor]: Taking taylor expansion of 0 in lambda2 3.289 * [taylor]: Taking taylor expansion of 0 in phi2 3.289 * [taylor]: Taking taylor expansion of 0 in lambda1 3.289 * [taylor]: Taking taylor expansion of 0 in lambda2 3.289 * [taylor]: Taking taylor expansion of 0 in lambda1 3.289 * [taylor]: Taking taylor expansion of 0 in lambda2 3.289 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 3.289 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.289 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.289 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.289 * [taylor]: Taking taylor expansion of phi1 in phi2 3.289 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.289 * [taylor]: Taking taylor expansion of phi2 in phi2 3.289 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.289 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.289 * [taylor]: Taking taylor expansion of phi1 in phi1 3.289 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.289 * [taylor]: Taking taylor expansion of phi2 in phi1 3.289 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.289 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.289 * [taylor]: Taking taylor expansion of phi1 in phi1 3.289 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.289 * [taylor]: Taking taylor expansion of phi2 in phi1 3.290 * [taylor]: Taking taylor expansion of 0 in phi2 3.290 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.290 * [taylor]: Taking taylor expansion of phi2 in phi2 3.290 * [taylor]: Taking taylor expansion of 0 in phi2 3.291 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.291 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.291 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.291 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.291 * [taylor]: Taking taylor expansion of phi2 in phi2 3.292 * [taylor]: Taking taylor expansion of 0 in phi2 3.292 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.292 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.292 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.292 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.292 * [taylor]: Taking taylor expansion of phi1 in phi2 3.292 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.292 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.292 * [taylor]: Taking taylor expansion of phi2 in phi2 3.292 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.292 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.292 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.292 * [taylor]: Taking taylor expansion of phi1 in phi1 3.292 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.292 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.292 * [taylor]: Taking taylor expansion of phi2 in phi1 3.293 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.293 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.293 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.293 * [taylor]: Taking taylor expansion of phi1 in phi1 3.293 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.293 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.293 * [taylor]: Taking taylor expansion of phi2 in phi1 3.293 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.293 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.293 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.293 * [taylor]: Taking taylor expansion of phi1 in phi2 3.293 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.293 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.293 * [taylor]: Taking taylor expansion of phi2 in phi2 3.294 * [taylor]: Taking taylor expansion of 0 in phi2 3.294 * [taylor]: Taking taylor expansion of 0 in phi2 3.295 * [taylor]: Taking taylor expansion of 0 in phi2 3.295 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.295 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.295 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.295 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.295 * [taylor]: Taking taylor expansion of -1 in phi2 3.295 * [taylor]: Taking taylor expansion of phi1 in phi2 3.296 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.296 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.296 * [taylor]: Taking taylor expansion of -1 in phi2 3.296 * [taylor]: Taking taylor expansion of phi2 in phi2 3.296 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.296 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.296 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.296 * [taylor]: Taking taylor expansion of -1 in phi1 3.296 * [taylor]: Taking taylor expansion of phi1 in phi1 3.296 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.296 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.296 * [taylor]: Taking taylor expansion of -1 in phi1 3.296 * [taylor]: Taking taylor expansion of phi2 in phi1 3.296 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.296 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.296 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.296 * [taylor]: Taking taylor expansion of -1 in phi1 3.296 * [taylor]: Taking taylor expansion of phi1 in phi1 3.296 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.296 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.296 * [taylor]: Taking taylor expansion of -1 in phi1 3.296 * [taylor]: Taking taylor expansion of phi2 in phi1 3.296 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.296 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.296 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.296 * [taylor]: Taking taylor expansion of -1 in phi2 3.296 * [taylor]: Taking taylor expansion of phi1 in phi2 3.296 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.296 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.296 * [taylor]: Taking taylor expansion of -1 in phi2 3.297 * [taylor]: Taking taylor expansion of phi2 in phi2 3.297 * [taylor]: Taking taylor expansion of 0 in phi2 3.298 * [taylor]: Taking taylor expansion of 0 in phi2 3.299 * [taylor]: Taking taylor expansion of 0 in phi2 3.299 * * * * [progress]: [ 4 / 4 ] generating series at (2) 3.299 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.299 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.299 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.299 * [taylor]: Taking taylor expansion of R in R 3.299 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.299 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.299 * [taylor]: Taking taylor expansion of R in lambda2 3.299 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.299 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.299 * [taylor]: Taking taylor expansion of R in lambda1 3.299 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.299 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.300 * [taylor]: Taking taylor expansion of R in phi2 3.300 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.300 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.300 * [taylor]: Taking taylor expansion of R in phi1 3.300 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 3.300 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 3.300 * [taylor]: Taking taylor expansion of R in phi1 3.300 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 3.300 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 3.300 * [taylor]: Taking taylor expansion of R in phi2 3.300 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 3.300 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 3.301 * [taylor]: Taking taylor expansion of R in lambda1 3.301 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 3.301 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 3.301 * [taylor]: Taking taylor expansion of R in lambda2 3.301 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 3.301 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 3.301 * [taylor]: Taking taylor expansion of R in R 3.301 * [taylor]: Taking taylor expansion of 0 in phi2 3.302 * [taylor]: Taking taylor expansion of 0 in lambda1 3.302 * [taylor]: Taking taylor expansion of 0 in lambda2 3.302 * [taylor]: Taking taylor expansion of 0 in R 3.302 * [taylor]: Taking taylor expansion of 0 in lambda1 3.302 * [taylor]: Taking taylor expansion of 0 in lambda2 3.302 * [taylor]: Taking taylor expansion of 0 in R 3.302 * [taylor]: Taking taylor expansion of 0 in lambda2 3.302 * [taylor]: Taking taylor expansion of 0 in R 3.302 * [taylor]: Taking taylor expansion of 0 in R 3.303 * [taylor]: Taking taylor expansion of 0 in phi2 3.303 * [taylor]: Taking taylor expansion of 0 in lambda1 3.303 * [taylor]: Taking taylor expansion of 0 in lambda2 3.303 * [taylor]: Taking taylor expansion of 0 in R 3.303 * [taylor]: Taking taylor expansion of 0 in lambda1 3.303 * [taylor]: Taking taylor expansion of 0 in lambda2 3.303 * [taylor]: Taking taylor expansion of 0 in R 3.303 * [taylor]: Taking taylor expansion of 0 in lambda1 3.303 * [taylor]: Taking taylor expansion of 0 in lambda2 3.303 * [taylor]: Taking taylor expansion of 0 in R 3.303 * [taylor]: Taking taylor expansion of 0 in lambda2 3.303 * [taylor]: Taking taylor expansion of 0 in R 3.303 * [taylor]: Taking taylor expansion of 0 in lambda2 3.303 * [taylor]: Taking taylor expansion of 0 in R 3.304 * [taylor]: Taking taylor expansion of 0 in lambda2 3.304 * [taylor]: Taking taylor expansion of 0 in R 3.304 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 3.304 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 3.304 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.304 * [taylor]: Taking taylor expansion of R in R 3.304 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 3.304 * [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 3.305 * [taylor]: Taking taylor expansion of R in lambda2 3.305 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 3.305 * [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 3.305 * [taylor]: Taking taylor expansion of R in lambda1 3.305 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 3.305 * [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 3.306 * [taylor]: Taking taylor expansion of R in phi2 3.306 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 3.306 * [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 3.306 * [taylor]: Taking taylor expansion of R in phi1 3.306 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 3.306 * [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 3.306 * [taylor]: Taking taylor expansion of R in phi1 3.307 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 3.307 * [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 3.307 * [taylor]: Taking taylor expansion of R in phi2 3.307 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 3.307 * [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 3.307 * [taylor]: Taking taylor expansion of R in lambda1 3.308 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 3.308 * [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 3.308 * [taylor]: Taking taylor expansion of R in lambda2 3.308 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 3.308 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 3.308 * [taylor]: Taking taylor expansion of R in R 3.309 * [taylor]: Taking taylor expansion of 0 in phi2 3.309 * [taylor]: Taking taylor expansion of 0 in lambda1 3.309 * [taylor]: Taking taylor expansion of 0 in lambda2 3.309 * [taylor]: Taking taylor expansion of 0 in R 3.309 * [taylor]: Taking taylor expansion of 0 in lambda1 3.309 * [taylor]: Taking taylor expansion of 0 in lambda2 3.309 * [taylor]: Taking taylor expansion of 0 in R 3.310 * [taylor]: Taking taylor expansion of 0 in lambda2 3.310 * [taylor]: Taking taylor expansion of 0 in R 3.310 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in phi2 3.311 * [taylor]: Taking taylor expansion of 0 in lambda1 3.311 * [taylor]: Taking taylor expansion of 0 in lambda2 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in lambda1 3.311 * [taylor]: Taking taylor expansion of 0 in lambda2 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in lambda1 3.311 * [taylor]: Taking taylor expansion of 0 in lambda2 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in lambda2 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in lambda2 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in lambda2 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.311 * [taylor]: Taking taylor expansion of 0 in R 3.312 * [taylor]: Taking taylor expansion of 0 in R 3.313 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 3.313 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 3.313 * [taylor]: Taking taylor expansion of -1 in R 3.313 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 3.313 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.313 * [taylor]: Taking taylor expansion of R in R 3.313 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 3.313 * [taylor]: Taking taylor expansion of -1 in lambda2 3.313 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 3.313 * [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 3.313 * [taylor]: Taking taylor expansion of R in lambda2 3.314 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 3.314 * [taylor]: Taking taylor expansion of -1 in lambda1 3.314 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 3.314 * [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 3.314 * [taylor]: Taking taylor expansion of R in lambda1 3.314 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 3.314 * [taylor]: Taking taylor expansion of -1 in phi2 3.314 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 3.314 * [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 3.314 * [taylor]: Taking taylor expansion of R in phi2 3.315 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 3.315 * [taylor]: Taking taylor expansion of -1 in phi1 3.315 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 3.315 * [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 3.315 * [taylor]: Taking taylor expansion of R in phi1 3.315 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 3.315 * [taylor]: Taking taylor expansion of -1 in phi1 3.315 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 3.315 * [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 3.315 * [taylor]: Taking taylor expansion of R in phi1 3.316 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 3.316 * [taylor]: Taking taylor expansion of -1 in phi2 3.316 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 3.316 * [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 3.316 * [taylor]: Taking taylor expansion of R in phi2 3.317 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 3.317 * [taylor]: Taking taylor expansion of -1 in lambda1 3.317 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 3.317 * [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 3.317 * [taylor]: Taking taylor expansion of R in lambda1 3.317 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 3.317 * [taylor]: Taking taylor expansion of -1 in lambda2 3.317 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 3.317 * [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 3.317 * [taylor]: Taking taylor expansion of R in lambda2 3.318 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 3.318 * [taylor]: Taking taylor expansion of -1 in R 3.318 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 3.318 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 3.318 * [taylor]: Taking taylor expansion of R in R 3.319 * [taylor]: Taking taylor expansion of 0 in phi2 3.319 * [taylor]: Taking taylor expansion of 0 in lambda1 3.319 * [taylor]: Taking taylor expansion of 0 in lambda2 3.319 * [taylor]: Taking taylor expansion of 0 in R 3.320 * [taylor]: Taking taylor expansion of 0 in lambda1 3.320 * [taylor]: Taking taylor expansion of 0 in lambda2 3.320 * [taylor]: Taking taylor expansion of 0 in R 3.320 * [taylor]: Taking taylor expansion of 0 in lambda2 3.320 * [taylor]: Taking taylor expansion of 0 in R 3.321 * [taylor]: Taking taylor expansion of 0 in R 3.322 * [taylor]: Taking taylor expansion of 0 in phi2 3.322 * [taylor]: Taking taylor expansion of 0 in lambda1 3.322 * [taylor]: Taking taylor expansion of 0 in lambda2 3.322 * [taylor]: Taking taylor expansion of 0 in R 3.322 * [taylor]: Taking taylor expansion of 0 in lambda1 3.322 * [taylor]: Taking taylor expansion of 0 in lambda2 3.322 * [taylor]: Taking taylor expansion of 0 in R 3.322 * [taylor]: Taking taylor expansion of 0 in lambda1 3.322 * [taylor]: Taking taylor expansion of 0 in lambda2 3.322 * [taylor]: Taking taylor expansion of 0 in R 3.322 * [taylor]: Taking taylor expansion of 0 in lambda2 3.322 * [taylor]: Taking taylor expansion of 0 in R 3.322 * [taylor]: Taking taylor expansion of 0 in lambda2 3.323 * [taylor]: Taking taylor expansion of 0 in R 3.323 * [taylor]: Taking taylor expansion of 0 in lambda2 3.323 * [taylor]: Taking taylor expansion of 0 in R 3.323 * [taylor]: Taking taylor expansion of 0 in R 3.323 * [taylor]: Taking taylor expansion of 0 in R 3.323 * [taylor]: Taking taylor expansion of 0 in R 3.324 * [taylor]: Taking taylor expansion of 0 in R 3.324 * * * [progress]: simplifying candidates 3.325 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3.379 * * [simplify]: iteration 0 : 4943 enodes (cost 876 ) 3.379 * * [simplify]: iteration 1 : 4943 enodes (cost 876 ) 3.382 * [simplify]: Simplified to: (* (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 (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (- (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (+ 1 (* lambda1 (+ lambda2 (* lambda1 -1/2)))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))) R) 3.383 * * * [progress]: adding candidates to table 3.490 * * [progress]: iteration 2 / 4 3.490 * * * [progress]: picking best candidate 3.569 * * * * [pick]: Picked # 3.569 * * * [progress]: localizing error 3.603 * * * [progress]: generating rewritten candidates 3.603 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 3.604 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 3.609 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 3.612 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 3.618 * * * [progress]: generating series expansions 3.618 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 3.619 * [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 3.619 * [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 3.619 * [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 3.619 * [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 3.620 * [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 3.620 * [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 3.620 * [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 3.620 * [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 3.621 * [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 3.621 * [taylor]: Taking taylor expansion of 0 in phi2 3.621 * [taylor]: Taking taylor expansion of 0 in lambda1 3.621 * [taylor]: Taking taylor expansion of 0 in lambda2 3.621 * [taylor]: Taking taylor expansion of 0 in lambda1 3.621 * [taylor]: Taking taylor expansion of 0 in lambda2 3.621 * [taylor]: Taking taylor expansion of 0 in lambda2 3.621 * [taylor]: Taking taylor expansion of 0 in phi2 3.622 * [taylor]: Taking taylor expansion of 0 in lambda1 3.622 * [taylor]: Taking taylor expansion of 0 in lambda2 3.622 * [taylor]: Taking taylor expansion of 0 in lambda1 3.622 * [taylor]: Taking taylor expansion of 0 in lambda2 3.622 * [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 3.622 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.625 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.626 * [taylor]: Taking taylor expansion of 0 in phi2 3.626 * [taylor]: Taking taylor expansion of 0 in lambda1 3.626 * [taylor]: Taking taylor expansion of 0 in lambda2 3.626 * [taylor]: Taking taylor expansion of 0 in lambda1 3.626 * [taylor]: Taking taylor expansion of 0 in lambda2 3.626 * [taylor]: Taking taylor expansion of 0 in lambda2 3.626 * [taylor]: Taking taylor expansion of 0 in phi2 3.626 * [taylor]: Taking taylor expansion of 0 in lambda1 3.626 * [taylor]: Taking taylor expansion of 0 in lambda2 3.626 * [taylor]: Taking taylor expansion of 0 in lambda1 3.626 * [taylor]: Taking taylor expansion of 0 in lambda2 3.627 * [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 3.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.627 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.631 * [taylor]: Taking taylor expansion of 0 in phi2 3.631 * [taylor]: Taking taylor expansion of 0 in lambda1 3.631 * [taylor]: Taking taylor expansion of 0 in lambda2 3.631 * [taylor]: Taking taylor expansion of 0 in lambda1 3.631 * [taylor]: Taking taylor expansion of 0 in lambda2 3.631 * [taylor]: Taking taylor expansion of 0 in lambda2 3.631 * [taylor]: Taking taylor expansion of 0 in phi2 3.631 * [taylor]: Taking taylor expansion of 0 in lambda1 3.631 * [taylor]: Taking taylor expansion of 0 in lambda2 3.631 * [taylor]: Taking taylor expansion of 0 in lambda1 3.631 * [taylor]: Taking taylor expansion of 0 in lambda2 3.631 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 3.632 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 3.632 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 3.632 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 3.632 * [taylor]: Taking taylor expansion of phi1 in phi2 3.632 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.632 * [taylor]: Taking taylor expansion of phi2 in phi2 3.632 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.632 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.632 * [taylor]: Taking taylor expansion of phi1 in phi1 3.632 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.632 * [taylor]: Taking taylor expansion of phi2 in phi1 3.632 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 3.632 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 3.632 * [taylor]: Taking taylor expansion of phi1 in phi1 3.632 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 3.632 * [taylor]: Taking taylor expansion of phi2 in phi1 3.632 * [taylor]: Taking taylor expansion of 0 in phi2 3.632 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.632 * [taylor]: Taking taylor expansion of phi2 in phi2 3.633 * [taylor]: Taking taylor expansion of 0 in phi2 3.633 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 3.633 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 3.633 * [taylor]: Taking taylor expansion of 1/6 in phi2 3.633 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 3.633 * [taylor]: Taking taylor expansion of phi2 in phi2 3.634 * [taylor]: Taking taylor expansion of 0 in phi2 3.634 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 3.634 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.634 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.634 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.634 * [taylor]: Taking taylor expansion of phi1 in phi2 3.634 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.634 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.635 * [taylor]: Taking taylor expansion of phi2 in phi2 3.635 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.635 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.635 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.635 * [taylor]: Taking taylor expansion of phi1 in phi1 3.635 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.635 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.635 * [taylor]: Taking taylor expansion of phi2 in phi1 3.635 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 3.635 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 3.635 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 3.635 * [taylor]: Taking taylor expansion of phi1 in phi1 3.635 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 3.635 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 3.635 * [taylor]: Taking taylor expansion of phi2 in phi1 3.635 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 3.635 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 3.635 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 3.635 * [taylor]: Taking taylor expansion of phi1 in phi2 3.635 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 3.635 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 3.635 * [taylor]: Taking taylor expansion of phi2 in phi2 3.636 * [taylor]: Taking taylor expansion of 0 in phi2 3.636 * [taylor]: Taking taylor expansion of 0 in phi2 3.637 * [taylor]: Taking taylor expansion of 0 in phi2 3.637 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 3.637 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.638 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.638 * [taylor]: Taking taylor expansion of -1 in phi2 3.638 * [taylor]: Taking taylor expansion of phi1 in phi2 3.638 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.638 * [taylor]: Taking taylor expansion of -1 in phi2 3.638 * [taylor]: Taking taylor expansion of phi2 in phi2 3.638 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.638 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.638 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.638 * [taylor]: Taking taylor expansion of -1 in phi1 3.638 * [taylor]: Taking taylor expansion of phi1 in phi1 3.638 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.638 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.638 * [taylor]: Taking taylor expansion of -1 in phi1 3.638 * [taylor]: Taking taylor expansion of phi2 in phi1 3.638 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 3.638 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 3.638 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 3.638 * [taylor]: Taking taylor expansion of -1 in phi1 3.638 * [taylor]: Taking taylor expansion of phi1 in phi1 3.638 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 3.638 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 3.638 * [taylor]: Taking taylor expansion of -1 in phi1 3.638 * [taylor]: Taking taylor expansion of phi2 in phi1 3.638 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 3.638 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 3.638 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 3.638 * [taylor]: Taking taylor expansion of -1 in phi2 3.638 * [taylor]: Taking taylor expansion of phi1 in phi2 3.639 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 3.639 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 3.639 * [taylor]: Taking taylor expansion of -1 in phi2 3.639 * [taylor]: Taking taylor expansion of phi2 in phi2 3.639 * [taylor]: Taking taylor expansion of 0 in phi2 3.640 * [taylor]: Taking taylor expansion of 0 in phi2 3.641 * [taylor]: Taking taylor expansion of 0 in phi2 3.641 * * * * [progress]: [ 3 / 4 ] generating series at (2) 3.641 * [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 3.641 * [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 3.641 * [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 3.641 * [taylor]: Taking taylor expansion of R in R 3.641 * [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 3.641 * [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 3.642 * [taylor]: Taking taylor expansion of R in lambda2 3.642 * [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 3.642 * [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 3.642 * [taylor]: Taking taylor expansion of R in lambda1 3.642 * [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 3.642 * [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 3.642 * [taylor]: Taking taylor expansion of R in phi2 3.642 * [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 3.642 * [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 3.643 * [taylor]: Taking taylor expansion of R in phi1 3.643 * [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 3.643 * [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 3.643 * [taylor]: Taking taylor expansion of R in phi1 3.643 * [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 3.643 * [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 3.644 * [taylor]: Taking taylor expansion of R in phi2 3.644 * [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 3.644 * [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 3.644 * [taylor]: Taking taylor expansion of R in lambda1 3.644 * [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 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of R in lambda2 3.645 * [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 3.645 * [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 3.645 * [taylor]: Taking taylor expansion of R in R 3.646 * [taylor]: Taking taylor expansion of 0 in phi2 3.646 * [taylor]: Taking taylor expansion of 0 in lambda1 3.646 * [taylor]: Taking taylor expansion of 0 in lambda2 3.646 * [taylor]: Taking taylor expansion of 0 in R 3.646 * [taylor]: Taking taylor expansion of 0 in lambda1 3.646 * [taylor]: Taking taylor expansion of 0 in lambda2 3.646 * [taylor]: Taking taylor expansion of 0 in R 3.647 * [taylor]: Taking taylor expansion of 0 in lambda2 3.647 * [taylor]: Taking taylor expansion of 0 in R 3.647 * [taylor]: Taking taylor expansion of 0 in R 3.648 * [taylor]: Taking taylor expansion of 0 in phi2 3.648 * [taylor]: Taking taylor expansion of 0 in lambda1 3.648 * [taylor]: Taking taylor expansion of 0 in lambda2 3.648 * [taylor]: Taking taylor expansion of 0 in R 3.648 * [taylor]: Taking taylor expansion of 0 in lambda1 3.648 * [taylor]: Taking taylor expansion of 0 in lambda2 3.648 * [taylor]: Taking taylor expansion of 0 in R 3.648 * [taylor]: Taking taylor expansion of 0 in lambda1 3.648 * [taylor]: Taking taylor expansion of 0 in lambda2 3.648 * [taylor]: Taking taylor expansion of 0 in R 3.649 * [taylor]: Taking taylor expansion of 0 in lambda2 3.649 * [taylor]: Taking taylor expansion of 0 in R 3.649 * [taylor]: Taking taylor expansion of 0 in lambda2 3.649 * [taylor]: Taking taylor expansion of 0 in R 3.649 * [taylor]: Taking taylor expansion of 0 in lambda2 3.649 * [taylor]: Taking taylor expansion of 0 in R 3.650 * [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 3.650 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.650 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.650 * [taylor]: Taking taylor expansion of R in R 3.650 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.650 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.651 * [taylor]: Taking taylor expansion of R in lambda2 3.651 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.651 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.652 * [taylor]: Taking taylor expansion of R in lambda1 3.652 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.652 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.652 * [taylor]: Taking taylor expansion of R in phi2 3.653 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.653 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.653 * [taylor]: Taking taylor expansion of R in phi1 3.654 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.654 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.654 * [taylor]: Taking taylor expansion of R in phi1 3.654 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.654 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.655 * [taylor]: Taking taylor expansion of R in phi2 3.655 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.655 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.656 * [taylor]: Taking taylor expansion of R in lambda1 3.656 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.656 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.656 * [taylor]: Taking taylor expansion of R in lambda2 3.657 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 3.657 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 3.657 * [taylor]: Taking taylor expansion of R in R 3.659 * [taylor]: Taking taylor expansion of 0 in phi2 3.659 * [taylor]: Taking taylor expansion of 0 in lambda1 3.659 * [taylor]: Taking taylor expansion of 0 in lambda2 3.659 * [taylor]: Taking taylor expansion of 0 in R 3.659 * [taylor]: Taking taylor expansion of 0 in lambda1 3.659 * [taylor]: Taking taylor expansion of 0 in lambda2 3.659 * [taylor]: Taking taylor expansion of 0 in R 3.660 * [taylor]: Taking taylor expansion of 0 in lambda2 3.660 * [taylor]: Taking taylor expansion of 0 in R 3.660 * [taylor]: Taking taylor expansion of 0 in R 3.661 * [taylor]: Taking taylor expansion of 0 in phi2 3.661 * [taylor]: Taking taylor expansion of 0 in lambda1 3.661 * [taylor]: Taking taylor expansion of 0 in lambda2 3.661 * [taylor]: Taking taylor expansion of 0 in R 3.661 * [taylor]: Taking taylor expansion of 0 in lambda1 3.661 * [taylor]: Taking taylor expansion of 0 in lambda2 3.661 * [taylor]: Taking taylor expansion of 0 in R 3.662 * [taylor]: Taking taylor expansion of 0 in lambda1 3.662 * [taylor]: Taking taylor expansion of 0 in lambda2 3.662 * [taylor]: Taking taylor expansion of 0 in R 3.662 * [taylor]: Taking taylor expansion of 0 in lambda2 3.662 * [taylor]: Taking taylor expansion of 0 in R 3.662 * [taylor]: Taking taylor expansion of 0 in lambda2 3.662 * [taylor]: Taking taylor expansion of 0 in R 3.662 * [taylor]: Taking taylor expansion of 0 in lambda2 3.662 * [taylor]: Taking taylor expansion of 0 in R 3.662 * [taylor]: Taking taylor expansion of 0 in R 3.662 * [taylor]: Taking taylor expansion of 0 in R 3.662 * [taylor]: Taking taylor expansion of 0 in R 3.663 * [taylor]: Taking taylor expansion of 0 in R 3.664 * [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 3.664 * [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 3.664 * [taylor]: Taking taylor expansion of -1 in R 3.664 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.664 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.665 * [taylor]: Taking taylor expansion of R in R 3.665 * [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 3.665 * [taylor]: Taking taylor expansion of -1 in lambda2 3.665 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.665 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.665 * [taylor]: Taking taylor expansion of R in lambda2 3.666 * [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 3.666 * [taylor]: Taking taylor expansion of -1 in lambda1 3.666 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.666 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.666 * [taylor]: Taking taylor expansion of R in lambda1 3.667 * [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 3.667 * [taylor]: Taking taylor expansion of -1 in phi2 3.667 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.667 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.667 * [taylor]: Taking taylor expansion of R in phi2 3.667 * [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 3.667 * [taylor]: Taking taylor expansion of -1 in phi1 3.667 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.667 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.668 * [taylor]: Taking taylor expansion of R in phi1 3.668 * [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 3.668 * [taylor]: Taking taylor expansion of -1 in phi1 3.668 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.668 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.669 * [taylor]: Taking taylor expansion of R in phi1 3.669 * [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 3.670 * [taylor]: Taking taylor expansion of -1 in phi2 3.670 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.670 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.670 * [taylor]: Taking taylor expansion of R in phi2 3.671 * [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 3.671 * [taylor]: Taking taylor expansion of -1 in lambda1 3.671 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.671 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.671 * [taylor]: Taking taylor expansion of R in lambda1 3.672 * [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 3.672 * [taylor]: Taking taylor expansion of -1 in lambda2 3.672 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.672 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.675 * [taylor]: Taking taylor expansion of R in lambda2 3.676 * [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 3.676 * [taylor]: Taking taylor expansion of -1 in R 3.676 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 3.677 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 3.677 * [taylor]: Taking taylor expansion of R in R 3.679 * [taylor]: Taking taylor expansion of 0 in phi2 3.679 * [taylor]: Taking taylor expansion of 0 in lambda1 3.679 * [taylor]: Taking taylor expansion of 0 in lambda2 3.679 * [taylor]: Taking taylor expansion of 0 in R 3.680 * [taylor]: Taking taylor expansion of 0 in lambda1 3.680 * [taylor]: Taking taylor expansion of 0 in lambda2 3.680 * [taylor]: Taking taylor expansion of 0 in R 3.681 * [taylor]: Taking taylor expansion of 0 in lambda2 3.681 * [taylor]: Taking taylor expansion of 0 in R 3.682 * [taylor]: Taking taylor expansion of 0 in R 3.683 * [taylor]: Taking taylor expansion of 0 in phi2 3.683 * [taylor]: Taking taylor expansion of 0 in lambda1 3.683 * [taylor]: Taking taylor expansion of 0 in lambda2 3.683 * [taylor]: Taking taylor expansion of 0 in R 3.683 * [taylor]: Taking taylor expansion of 0 in lambda1 3.683 * [taylor]: Taking taylor expansion of 0 in lambda2 3.683 * [taylor]: Taking taylor expansion of 0 in R 3.684 * [taylor]: Taking taylor expansion of 0 in lambda1 3.684 * [taylor]: Taking taylor expansion of 0 in lambda2 3.684 * [taylor]: Taking taylor expansion of 0 in R 3.684 * [taylor]: Taking taylor expansion of 0 in lambda2 3.684 * [taylor]: Taking taylor expansion of 0 in R 3.684 * [taylor]: Taking taylor expansion of 0 in lambda2 3.684 * [taylor]: Taking taylor expansion of 0 in R 3.685 * [taylor]: Taking taylor expansion of 0 in lambda2 3.685 * [taylor]: Taking taylor expansion of 0 in R 3.685 * [taylor]: Taking taylor expansion of 0 in R 3.685 * [taylor]: Taking taylor expansion of 0 in R 3.685 * [taylor]: Taking taylor expansion of 0 in R 3.686 * [taylor]: Taking taylor expansion of 0 in R 3.688 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 3.688 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 3.688 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 3.688 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.688 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.688 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.688 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.688 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.688 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.688 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.688 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.688 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.688 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.688 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.688 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.688 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.688 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.688 * [taylor]: Taking taylor expansion of 0 in lambda2 3.688 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.688 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.689 * [taylor]: Taking taylor expansion of 0 in lambda2 3.689 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 3.689 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 3.689 * [taylor]: Taking taylor expansion of 1/6 in lambda2 3.690 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.690 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.690 * [taylor]: Taking taylor expansion of 0 in lambda2 3.690 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.691 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.691 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.691 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.691 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.691 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.691 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.691 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.691 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.692 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.692 * [taylor]: Taking taylor expansion of 0 in lambda2 3.693 * [taylor]: Taking taylor expansion of 0 in lambda2 3.693 * [taylor]: Taking taylor expansion of 0 in lambda2 3.694 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 3.694 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.694 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.694 * [taylor]: Taking taylor expansion of -1 in lambda2 3.694 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.694 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.694 * [taylor]: Taking taylor expansion of -1 in lambda2 3.694 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.694 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.694 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.694 * [taylor]: Taking taylor expansion of -1 in lambda1 3.694 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.694 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.694 * [taylor]: Taking taylor expansion of -1 in lambda1 3.694 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.694 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 3.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 3.694 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 3.694 * [taylor]: Taking taylor expansion of -1 in lambda1 3.694 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.694 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 3.694 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 3.694 * [taylor]: Taking taylor expansion of -1 in lambda1 3.694 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.695 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 3.695 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 3.695 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 3.695 * [taylor]: Taking taylor expansion of -1 in lambda2 3.695 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.695 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 3.695 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 3.695 * [taylor]: Taking taylor expansion of -1 in lambda2 3.695 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.695 * [taylor]: Taking taylor expansion of 0 in lambda2 3.696 * [taylor]: Taking taylor expansion of 0 in lambda2 3.697 * [taylor]: Taking taylor expansion of 0 in lambda2 3.697 * * * [progress]: simplifying candidates 3.698 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (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) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 3.740 * * [simplify]: iteration 0 : 5164 enodes (cost 1173 ) 3.745 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (sin lambda2) (cbrt (sin lambda1))) (* (sin lambda2) (sqrt (sin lambda1))) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 3.745 * * * [progress]: adding candidates to table 3.854 * * [progress]: iteration 3 / 4 3.854 * * * [progress]: picking best candidate 3.944 * * * * [pick]: Picked # 3.944 * * * [progress]: localizing error 3.981 * * * [progress]: generating rewritten candidates 3.981 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 3.984 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 3.985 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 3.990 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 3.996 * * * [progress]: generating series expansions 3.996 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 3.996 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 3.996 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 3.996 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 3.996 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.996 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.996 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.996 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.996 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.996 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.996 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.996 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.996 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 3.996 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 3.996 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.996 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 3.996 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.997 * [taylor]: Taking taylor expansion of 0 in lambda2 3.997 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.997 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.997 * [taylor]: Taking taylor expansion of 0 in lambda2 3.998 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin lambda2))) in lambda2 3.998 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 3.998 * [taylor]: Taking taylor expansion of 1/6 in lambda2 3.998 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 3.998 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.999 * [taylor]: Taking taylor expansion of 0 in lambda2 3.999 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.999 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 3.999 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 3.999 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 3.999 * [taylor]: Taking taylor expansion of lambda1 in lambda2 3.999 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 3.999 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 3.999 * [taylor]: Taking taylor expansion of lambda2 in lambda2 3.999 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.999 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.999 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 3.999 * [taylor]: Taking taylor expansion of lambda1 in lambda1 3.999 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 3.999 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 3.999 * [taylor]: Taking taylor expansion of lambda2 in lambda1 3.999 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 3.999 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 3.999 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.000 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.000 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.000 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.000 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.000 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.000 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.000 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.000 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.000 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.000 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.000 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.000 * [taylor]: Taking taylor expansion of 0 in lambda2 4.001 * [taylor]: Taking taylor expansion of 0 in lambda2 4.002 * [taylor]: Taking taylor expansion of 0 in lambda2 4.002 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.002 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.002 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.002 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.002 * [taylor]: Taking taylor expansion of -1 in lambda2 4.002 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.002 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.002 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.002 * [taylor]: Taking taylor expansion of -1 in lambda2 4.002 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.002 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.002 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.002 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.003 * [taylor]: Taking taylor expansion of -1 in lambda1 4.003 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.003 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.003 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.003 * [taylor]: Taking taylor expansion of -1 in lambda1 4.003 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.003 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.003 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.003 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.003 * [taylor]: Taking taylor expansion of -1 in lambda1 4.003 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.003 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.003 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.003 * [taylor]: Taking taylor expansion of -1 in lambda1 4.003 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.003 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.003 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.003 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.003 * [taylor]: Taking taylor expansion of -1 in lambda2 4.003 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.003 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.003 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.003 * [taylor]: Taking taylor expansion of -1 in lambda2 4.003 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.004 * [taylor]: Taking taylor expansion of 0 in lambda2 4.004 * [taylor]: Taking taylor expansion of 0 in lambda2 4.005 * [taylor]: Taking taylor expansion of 0 in lambda2 4.005 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.006 * [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 4.006 * [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 4.006 * [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 4.006 * [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 4.007 * [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 4.007 * [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 4.007 * [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 4.008 * [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 4.008 * [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 4.008 * [taylor]: Taking taylor expansion of 0 in phi2 4.008 * [taylor]: Taking taylor expansion of 0 in lambda1 4.008 * [taylor]: Taking taylor expansion of 0 in lambda2 4.008 * [taylor]: Taking taylor expansion of 0 in lambda1 4.009 * [taylor]: Taking taylor expansion of 0 in lambda2 4.009 * [taylor]: Taking taylor expansion of 0 in lambda2 4.009 * [taylor]: Taking taylor expansion of 0 in phi2 4.009 * [taylor]: Taking taylor expansion of 0 in lambda1 4.009 * [taylor]: Taking taylor expansion of 0 in lambda2 4.009 * [taylor]: Taking taylor expansion of 0 in lambda1 4.009 * [taylor]: Taking taylor expansion of 0 in lambda2 4.009 * [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 4.009 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.010 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.010 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.010 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.011 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.011 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.012 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.012 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.013 * [taylor]: Taking taylor expansion of 0 in phi2 4.013 * [taylor]: Taking taylor expansion of 0 in lambda1 4.013 * [taylor]: Taking taylor expansion of 0 in lambda2 4.013 * [taylor]: Taking taylor expansion of 0 in lambda1 4.013 * [taylor]: Taking taylor expansion of 0 in lambda2 4.013 * [taylor]: Taking taylor expansion of 0 in lambda2 4.013 * [taylor]: Taking taylor expansion of 0 in phi2 4.013 * [taylor]: Taking taylor expansion of 0 in lambda1 4.013 * [taylor]: Taking taylor expansion of 0 in lambda2 4.013 * [taylor]: Taking taylor expansion of 0 in lambda1 4.013 * [taylor]: Taking taylor expansion of 0 in lambda2 4.014 * [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 4.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.014 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.015 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.016 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.017 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.017 * [taylor]: Taking taylor expansion of 0 in phi2 4.018 * [taylor]: Taking taylor expansion of 0 in lambda1 4.018 * [taylor]: Taking taylor expansion of 0 in lambda2 4.018 * [taylor]: Taking taylor expansion of 0 in lambda1 4.018 * [taylor]: Taking taylor expansion of 0 in lambda2 4.018 * [taylor]: Taking taylor expansion of 0 in lambda2 4.018 * [taylor]: Taking taylor expansion of 0 in phi2 4.018 * [taylor]: Taking taylor expansion of 0 in lambda1 4.018 * [taylor]: Taking taylor expansion of 0 in lambda2 4.018 * [taylor]: Taking taylor expansion of 0 in lambda1 4.018 * [taylor]: Taking taylor expansion of 0 in lambda2 4.018 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 4.018 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in (lambda1 lambda2) around 0 4.018 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda2 4.018 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.018 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.018 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.019 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.019 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.019 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 4.019 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.019 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.019 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.019 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.019 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.019 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin lambda2)) 3) in lambda1 4.019 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.019 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.019 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.019 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.019 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.020 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 4.020 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.020 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.021 * [taylor]: Taking taylor expansion of 0 in lambda2 4.022 * [taylor]: Taking taylor expansion of (neg (* 1/2 (pow (sin lambda2) 3))) in lambda2 4.022 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin lambda2) 3)) in lambda2 4.022 * [taylor]: Taking taylor expansion of 1/2 in lambda2 4.022 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 3) in lambda2 4.022 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.022 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.023 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 4.023 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 4.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 4.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.023 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.023 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.023 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.023 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.023 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 4.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.023 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.023 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.023 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.023 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.023 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 4.023 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 4.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.023 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.023 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.023 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.024 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.024 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.024 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 4.024 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 4.024 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.024 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.024 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.024 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 4.024 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.024 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.024 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.025 * [taylor]: Taking taylor expansion of 0 in lambda2 4.027 * [taylor]: Taking taylor expansion of 0 in lambda2 4.028 * [taylor]: Taking taylor expansion of 0 in lambda2 4.029 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 4.029 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 4.029 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.029 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.029 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.029 * [taylor]: Taking taylor expansion of -1 in lambda2 4.029 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.029 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.029 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.029 * [taylor]: Taking taylor expansion of -1 in lambda2 4.029 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.029 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 4.029 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.029 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.029 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.029 * [taylor]: Taking taylor expansion of -1 in lambda1 4.029 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.029 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.029 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.029 * [taylor]: Taking taylor expansion of -1 in lambda1 4.029 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.029 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 4.029 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.029 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.029 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.029 * [taylor]: Taking taylor expansion of -1 in lambda1 4.029 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.030 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.030 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.030 * [taylor]: Taking taylor expansion of -1 in lambda1 4.030 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.030 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 4.030 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 4.030 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.030 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.030 * [taylor]: Taking taylor expansion of -1 in lambda2 4.030 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.030 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 4.030 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.030 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.030 * [taylor]: Taking taylor expansion of -1 in lambda2 4.030 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.032 * [taylor]: Taking taylor expansion of 0 in lambda2 4.033 * [taylor]: Taking taylor expansion of 0 in lambda2 4.035 * [taylor]: Taking taylor expansion of 0 in lambda2 4.035 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 4.035 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.035 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.035 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.035 * [taylor]: Taking taylor expansion of phi1 in phi2 4.035 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.035 * [taylor]: Taking taylor expansion of phi2 in phi2 4.035 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.035 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.035 * [taylor]: Taking taylor expansion of phi1 in phi1 4.035 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.035 * [taylor]: Taking taylor expansion of phi2 in phi1 4.035 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.035 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.035 * [taylor]: Taking taylor expansion of phi1 in phi1 4.035 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.035 * [taylor]: Taking taylor expansion of phi2 in phi1 4.036 * [taylor]: Taking taylor expansion of 0 in phi2 4.036 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.036 * [taylor]: Taking taylor expansion of phi2 in phi2 4.036 * [taylor]: Taking taylor expansion of 0 in phi2 4.037 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 4.037 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.037 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.037 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.037 * [taylor]: Taking taylor expansion of phi2 in phi2 4.038 * [taylor]: Taking taylor expansion of 0 in phi2 4.038 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 4.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.038 * [taylor]: Taking taylor expansion of phi1 in phi2 4.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.038 * [taylor]: Taking taylor expansion of phi2 in phi2 4.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.038 * [taylor]: Taking taylor expansion of phi1 in phi1 4.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.038 * [taylor]: Taking taylor expansion of phi2 in phi1 4.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.038 * [taylor]: Taking taylor expansion of phi1 in phi1 4.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.038 * [taylor]: Taking taylor expansion of phi2 in phi1 4.039 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.039 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.039 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.039 * [taylor]: Taking taylor expansion of phi1 in phi2 4.039 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.039 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.039 * [taylor]: Taking taylor expansion of phi2 in phi2 4.039 * [taylor]: Taking taylor expansion of 0 in phi2 4.040 * [taylor]: Taking taylor expansion of 0 in phi2 4.041 * [taylor]: Taking taylor expansion of 0 in phi2 4.041 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.041 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.041 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.041 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.041 * [taylor]: Taking taylor expansion of -1 in phi2 4.041 * [taylor]: Taking taylor expansion of phi1 in phi2 4.041 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.041 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.041 * [taylor]: Taking taylor expansion of -1 in phi2 4.041 * [taylor]: Taking taylor expansion of phi2 in phi2 4.041 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.041 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.041 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.041 * [taylor]: Taking taylor expansion of -1 in phi1 4.041 * [taylor]: Taking taylor expansion of phi1 in phi1 4.041 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.041 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.041 * [taylor]: Taking taylor expansion of -1 in phi1 4.041 * [taylor]: Taking taylor expansion of phi2 in phi1 4.042 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.042 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.042 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.042 * [taylor]: Taking taylor expansion of -1 in phi1 4.042 * [taylor]: Taking taylor expansion of phi1 in phi1 4.042 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.042 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.042 * [taylor]: Taking taylor expansion of -1 in phi1 4.042 * [taylor]: Taking taylor expansion of phi2 in phi1 4.042 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.042 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.042 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.042 * [taylor]: Taking taylor expansion of -1 in phi2 4.042 * [taylor]: Taking taylor expansion of phi1 in phi2 4.042 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.042 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.042 * [taylor]: Taking taylor expansion of -1 in phi2 4.042 * [taylor]: Taking taylor expansion of phi2 in phi2 4.043 * [taylor]: Taking taylor expansion of 0 in phi2 4.043 * [taylor]: Taking taylor expansion of 0 in phi2 4.044 * [taylor]: Taking taylor expansion of 0 in phi2 4.044 * * * [progress]: simplifying candidates 4.045 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (exp (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin lambda2) 3)) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))))))) (* (+ (log (sin lambda1)) (log (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* (log (* (sin lambda1) (sin lambda2))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (pow (* (sin lambda1) (sin lambda2)) 1) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (log (pow (* (sin lambda1) (sin lambda2)) 3)) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (* (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 3)) (* (* (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) (pow 2 3) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (pow (* (sin lambda1) (sin lambda2)) (/ 3 2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow lambda2 3) (pow lambda1 3)) (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5))))) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* (pow (sin lambda1) 3) (pow (sin lambda2) 3)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 4.077 * * [simplify]: iteration 0 : 4978 enodes (cost 795 ) 4.077 * * [simplify]: iteration 1 : 4978 enodes (cost 795 ) 4.081 * [simplify]: Simplified to: (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (sin lambda1) (sin lambda2) (cbrt (pow (* (sin lambda1) (sin lambda2)) 2)) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 2)) (cbrt (* (sin lambda1) (sin lambda2))) (sin lambda1) (sin lambda2) (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (pow (* (sin lambda1) (sin lambda2)) 2)) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin lambda2)) 3))) (cbrt 1) (* (sin lambda1) (sin lambda2)) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (cbrt 8) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))))) (* 3 (log (* (sin lambda1) (sin lambda2)))) (* 3 (log (* (sin lambda1) (sin lambda2)))) (* 3 (log (* (sin lambda1) (sin lambda2)))) 3 3 (pow (* (sin lambda1) (sin lambda2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin lambda2)) (sqrt 3)) (* (sin lambda1) (sin lambda2)) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (* (sin lambda1) (sin lambda2)) 2) (* 3 (log (* (sin lambda1) (sin lambda2)))) (exp (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 2) (* (sin lambda1) (sin lambda2)) (pow (* (sin lambda1) (sin lambda2)) 9) (pow (sin lambda1) 3) (pow (sin lambda2) 3) (pow (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 3) 8 (pow (* (sin lambda1) (sin lambda2)) 2) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (sqrt (pow (* (sin lambda1) (sin lambda2)) 3)) (pow (* (sin lambda1) (sin lambda2)) 3/2) (pow (* (sin lambda1) (sin lambda2)) 3/2) (- (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) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* lambda1 lambda2) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))))) (+ (* (pow lambda1 3) (- (pow lambda2 3) (* 1/2 (pow lambda2 5)))) (* (pow lambda2 3) (* (pow lambda1 5) -1/2))) (pow (* (sin lambda1) (sin lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 4.081 * * * [progress]: adding candidates to table 4.380 * * [progress]: iteration 4 / 4 4.380 * * * [progress]: picking best candidate 4.472 * * * * [pick]: Picked # 4.472 * * * [progress]: localizing error 4.512 * * * [progress]: generating rewritten candidates 4.512 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 4.514 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 4.516 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 4.521 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 4.525 * * * [progress]: generating series expansions 4.525 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 4.526 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.526 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.526 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.526 * [taylor]: Taking taylor expansion of phi1 in phi2 4.526 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.526 * [taylor]: Taking taylor expansion of phi2 in phi2 4.526 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.526 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.526 * [taylor]: Taking taylor expansion of phi1 in phi1 4.526 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.526 * [taylor]: Taking taylor expansion of phi2 in phi1 4.526 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.526 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.526 * [taylor]: Taking taylor expansion of phi1 in phi1 4.526 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.526 * [taylor]: Taking taylor expansion of phi2 in phi1 4.526 * [taylor]: Taking taylor expansion of 0 in phi2 4.526 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.526 * [taylor]: Taking taylor expansion of phi2 in phi2 4.527 * [taylor]: Taking taylor expansion of 0 in phi2 4.528 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 4.528 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.528 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.528 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.528 * [taylor]: Taking taylor expansion of phi2 in phi2 4.528 * [taylor]: Taking taylor expansion of 0 in phi2 4.529 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 4.529 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.529 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.529 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.529 * [taylor]: Taking taylor expansion of phi1 in phi2 4.529 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.529 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.529 * [taylor]: Taking taylor expansion of phi2 in phi2 4.529 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.529 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.529 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.529 * [taylor]: Taking taylor expansion of phi1 in phi1 4.529 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.529 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.529 * [taylor]: Taking taylor expansion of phi2 in phi1 4.529 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.529 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.529 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.529 * [taylor]: Taking taylor expansion of phi1 in phi1 4.529 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.529 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.529 * [taylor]: Taking taylor expansion of phi2 in phi1 4.529 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.530 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.530 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.530 * [taylor]: Taking taylor expansion of phi1 in phi2 4.530 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.530 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.530 * [taylor]: Taking taylor expansion of phi2 in phi2 4.530 * [taylor]: Taking taylor expansion of 0 in phi2 4.531 * [taylor]: Taking taylor expansion of 0 in phi2 4.532 * [taylor]: Taking taylor expansion of 0 in phi2 4.532 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.532 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.532 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.532 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.532 * [taylor]: Taking taylor expansion of -1 in phi2 4.532 * [taylor]: Taking taylor expansion of phi1 in phi2 4.532 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.532 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.532 * [taylor]: Taking taylor expansion of -1 in phi2 4.532 * [taylor]: Taking taylor expansion of phi2 in phi2 4.532 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.532 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.532 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.532 * [taylor]: Taking taylor expansion of -1 in phi1 4.532 * [taylor]: Taking taylor expansion of phi1 in phi1 4.532 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.532 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.532 * [taylor]: Taking taylor expansion of -1 in phi1 4.532 * [taylor]: Taking taylor expansion of phi2 in phi1 4.532 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.532 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.532 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.532 * [taylor]: Taking taylor expansion of -1 in phi1 4.532 * [taylor]: Taking taylor expansion of phi1 in phi1 4.533 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.533 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.533 * [taylor]: Taking taylor expansion of -1 in phi1 4.533 * [taylor]: Taking taylor expansion of phi2 in phi1 4.533 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.533 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.533 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.533 * [taylor]: Taking taylor expansion of -1 in phi2 4.533 * [taylor]: Taking taylor expansion of phi1 in phi2 4.533 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.533 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.533 * [taylor]: Taking taylor expansion of -1 in phi2 4.533 * [taylor]: Taking taylor expansion of phi2 in phi2 4.534 * [taylor]: Taking taylor expansion of 0 in phi2 4.534 * [taylor]: Taking taylor expansion of 0 in phi2 4.535 * [taylor]: Taking taylor expansion of 0 in phi2 4.535 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 4.536 * [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 4.536 * [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 4.536 * [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 4.536 * [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 4.537 * [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 4.537 * [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 4.537 * [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 4.537 * [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 4.538 * [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 4.538 * [taylor]: Taking taylor expansion of 0 in phi2 4.538 * [taylor]: Taking taylor expansion of 0 in lambda1 4.538 * [taylor]: Taking taylor expansion of 0 in lambda2 4.539 * [taylor]: Taking taylor expansion of 0 in lambda1 4.539 * [taylor]: Taking taylor expansion of 0 in lambda2 4.539 * [taylor]: Taking taylor expansion of 0 in lambda2 4.539 * [taylor]: Taking taylor expansion of 0 in phi2 4.539 * [taylor]: Taking taylor expansion of 0 in lambda1 4.539 * [taylor]: Taking taylor expansion of 0 in lambda2 4.539 * [taylor]: Taking taylor expansion of 0 in lambda1 4.539 * [taylor]: Taking taylor expansion of 0 in lambda2 4.540 * [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 4.540 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.540 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.541 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.541 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.542 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.542 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.542 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.543 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.544 * [taylor]: Taking taylor expansion of 0 in phi2 4.544 * [taylor]: Taking taylor expansion of 0 in lambda1 4.544 * [taylor]: Taking taylor expansion of 0 in lambda2 4.544 * [taylor]: Taking taylor expansion of 0 in lambda1 4.544 * [taylor]: Taking taylor expansion of 0 in lambda2 4.544 * [taylor]: Taking taylor expansion of 0 in lambda2 4.544 * [taylor]: Taking taylor expansion of 0 in phi2 4.544 * [taylor]: Taking taylor expansion of 0 in lambda1 4.544 * [taylor]: Taking taylor expansion of 0 in lambda2 4.544 * [taylor]: Taking taylor expansion of 0 in lambda1 4.544 * [taylor]: Taking taylor expansion of 0 in lambda2 4.545 * [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 4.545 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.545 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.546 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.546 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.547 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.547 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.547 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.548 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.549 * [taylor]: Taking taylor expansion of 0 in phi2 4.549 * [taylor]: Taking taylor expansion of 0 in lambda1 4.549 * [taylor]: Taking taylor expansion of 0 in lambda2 4.549 * [taylor]: Taking taylor expansion of 0 in lambda1 4.549 * [taylor]: Taking taylor expansion of 0 in lambda2 4.549 * [taylor]: Taking taylor expansion of 0 in lambda2 4.549 * [taylor]: Taking taylor expansion of 0 in phi2 4.549 * [taylor]: Taking taylor expansion of 0 in lambda1 4.549 * [taylor]: Taking taylor expansion of 0 in lambda2 4.549 * [taylor]: Taking taylor expansion of 0 in lambda1 4.549 * [taylor]: Taking taylor expansion of 0 in lambda2 4.549 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 4.549 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.549 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.550 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.550 * [taylor]: Taking taylor expansion of phi1 in phi2 4.550 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.550 * [taylor]: Taking taylor expansion of phi2 in phi2 4.550 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.550 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.550 * [taylor]: Taking taylor expansion of phi1 in phi1 4.550 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.550 * [taylor]: Taking taylor expansion of phi2 in phi1 4.550 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.550 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.550 * [taylor]: Taking taylor expansion of phi1 in phi1 4.550 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.550 * [taylor]: Taking taylor expansion of phi2 in phi1 4.550 * [taylor]: Taking taylor expansion of 0 in phi2 4.550 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.550 * [taylor]: Taking taylor expansion of phi2 in phi2 4.551 * [taylor]: Taking taylor expansion of 0 in phi2 4.551 * [taylor]: Taking taylor expansion of (neg (* 1/6 (sin phi2))) in phi2 4.551 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.551 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.551 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.551 * [taylor]: Taking taylor expansion of phi2 in phi2 4.552 * [taylor]: Taking taylor expansion of 0 in phi2 4.552 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 4.552 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.552 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.552 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.552 * [taylor]: Taking taylor expansion of phi1 in phi2 4.552 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.553 * [taylor]: Taking taylor expansion of phi2 in phi2 4.553 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.553 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.553 * [taylor]: Taking taylor expansion of phi1 in phi1 4.553 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.553 * [taylor]: Taking taylor expansion of phi2 in phi1 4.553 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 4.553 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.553 * [taylor]: Taking taylor expansion of phi1 in phi1 4.553 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.553 * [taylor]: Taking taylor expansion of phi2 in phi1 4.553 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 4.553 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.553 * [taylor]: Taking taylor expansion of phi1 in phi2 4.553 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.553 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.553 * [taylor]: Taking taylor expansion of phi2 in phi2 4.554 * [taylor]: Taking taylor expansion of 0 in phi2 4.555 * [taylor]: Taking taylor expansion of 0 in phi2 4.555 * [taylor]: Taking taylor expansion of 0 in phi2 4.556 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.556 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.556 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.556 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.556 * [taylor]: Taking taylor expansion of -1 in phi2 4.556 * [taylor]: Taking taylor expansion of phi1 in phi2 4.556 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.556 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.556 * [taylor]: Taking taylor expansion of -1 in phi2 4.556 * [taylor]: Taking taylor expansion of phi2 in phi2 4.556 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.556 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.556 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.556 * [taylor]: Taking taylor expansion of -1 in phi1 4.556 * [taylor]: Taking taylor expansion of phi1 in phi1 4.556 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.556 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.556 * [taylor]: Taking taylor expansion of -1 in phi1 4.556 * [taylor]: Taking taylor expansion of phi2 in phi1 4.556 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.556 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.556 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.556 * [taylor]: Taking taylor expansion of -1 in phi1 4.556 * [taylor]: Taking taylor expansion of phi1 in phi1 4.556 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.556 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.557 * [taylor]: Taking taylor expansion of -1 in phi1 4.557 * [taylor]: Taking taylor expansion of phi2 in phi1 4.557 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.557 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.557 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.557 * [taylor]: Taking taylor expansion of -1 in phi2 4.557 * [taylor]: Taking taylor expansion of phi1 in phi2 4.557 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.557 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.557 * [taylor]: Taking taylor expansion of -1 in phi2 4.557 * [taylor]: Taking taylor expansion of phi2 in phi2 4.557 * [taylor]: Taking taylor expansion of 0 in phi2 4.558 * [taylor]: Taking taylor expansion of 0 in phi2 4.559 * [taylor]: Taking taylor expansion of 0 in phi2 4.559 * * * * [progress]: [ 4 / 4 ] generating series at (2) 4.560 * [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 4.560 * [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 4.560 * [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 4.560 * [taylor]: Taking taylor expansion of R in R 4.560 * [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 4.560 * [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 4.560 * [taylor]: Taking taylor expansion of R in lambda2 4.560 * [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 4.560 * [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 4.561 * [taylor]: Taking taylor expansion of R in lambda1 4.561 * [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 4.561 * [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 4.561 * [taylor]: Taking taylor expansion of R in phi2 4.561 * [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 4.561 * [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 4.561 * [taylor]: Taking taylor expansion of R in phi1 4.561 * [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 4.561 * [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 4.562 * [taylor]: Taking taylor expansion of R in phi1 4.562 * [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 4.562 * [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 4.562 * [taylor]: Taking taylor expansion of R in phi2 4.563 * [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 4.563 * [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 4.563 * [taylor]: Taking taylor expansion of R in lambda1 4.563 * [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 4.563 * [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 4.563 * [taylor]: Taking taylor expansion of R in lambda2 4.564 * [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 4.564 * [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 4.564 * [taylor]: Taking taylor expansion of R in R 4.565 * [taylor]: Taking taylor expansion of 0 in phi2 4.565 * [taylor]: Taking taylor expansion of 0 in lambda1 4.565 * [taylor]: Taking taylor expansion of 0 in lambda2 4.565 * [taylor]: Taking taylor expansion of 0 in R 4.565 * [taylor]: Taking taylor expansion of 0 in lambda1 4.565 * [taylor]: Taking taylor expansion of 0 in lambda2 4.565 * [taylor]: Taking taylor expansion of 0 in R 4.565 * [taylor]: Taking taylor expansion of 0 in lambda2 4.565 * [taylor]: Taking taylor expansion of 0 in R 4.566 * [taylor]: Taking taylor expansion of 0 in R 4.567 * [taylor]: Taking taylor expansion of 0 in phi2 4.567 * [taylor]: Taking taylor expansion of 0 in lambda1 4.567 * [taylor]: Taking taylor expansion of 0 in lambda2 4.567 * [taylor]: Taking taylor expansion of 0 in R 4.567 * [taylor]: Taking taylor expansion of 0 in lambda1 4.567 * [taylor]: Taking taylor expansion of 0 in lambda2 4.567 * [taylor]: Taking taylor expansion of 0 in R 4.567 * [taylor]: Taking taylor expansion of 0 in lambda1 4.567 * [taylor]: Taking taylor expansion of 0 in lambda2 4.567 * [taylor]: Taking taylor expansion of 0 in R 4.567 * [taylor]: Taking taylor expansion of 0 in lambda2 4.567 * [taylor]: Taking taylor expansion of 0 in R 4.567 * [taylor]: Taking taylor expansion of 0 in lambda2 4.567 * [taylor]: Taking taylor expansion of 0 in R 4.568 * [taylor]: Taking taylor expansion of 0 in lambda2 4.568 * [taylor]: Taking taylor expansion of 0 in R 4.568 * [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 4.568 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.569 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.569 * [taylor]: Taking taylor expansion of R in R 4.569 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.569 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.570 * [taylor]: Taking taylor expansion of R in lambda2 4.570 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.570 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.570 * [taylor]: Taking taylor expansion of R in lambda1 4.571 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.571 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.571 * [taylor]: Taking taylor expansion of R in phi2 4.572 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.572 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.572 * [taylor]: Taking taylor expansion of R in phi1 4.573 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.573 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.573 * [taylor]: Taking taylor expansion of R in phi1 4.573 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.573 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.574 * [taylor]: Taking taylor expansion of R in phi2 4.574 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.574 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.575 * [taylor]: Taking taylor expansion of R in lambda1 4.575 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.575 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.575 * [taylor]: Taking taylor expansion of R in lambda2 4.576 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 4.576 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 4.576 * [taylor]: Taking taylor expansion of R in R 4.577 * [taylor]: Taking taylor expansion of 0 in phi2 4.578 * [taylor]: Taking taylor expansion of 0 in lambda1 4.578 * [taylor]: Taking taylor expansion of 0 in lambda2 4.578 * [taylor]: Taking taylor expansion of 0 in R 4.578 * [taylor]: Taking taylor expansion of 0 in lambda1 4.578 * [taylor]: Taking taylor expansion of 0 in lambda2 4.578 * [taylor]: Taking taylor expansion of 0 in R 4.579 * [taylor]: Taking taylor expansion of 0 in lambda2 4.579 * [taylor]: Taking taylor expansion of 0 in R 4.579 * [taylor]: Taking taylor expansion of 0 in R 4.580 * [taylor]: Taking taylor expansion of 0 in phi2 4.580 * [taylor]: Taking taylor expansion of 0 in lambda1 4.580 * [taylor]: Taking taylor expansion of 0 in lambda2 4.580 * [taylor]: Taking taylor expansion of 0 in R 4.580 * [taylor]: Taking taylor expansion of 0 in lambda1 4.580 * [taylor]: Taking taylor expansion of 0 in lambda2 4.580 * [taylor]: Taking taylor expansion of 0 in R 4.580 * [taylor]: Taking taylor expansion of 0 in lambda1 4.581 * [taylor]: Taking taylor expansion of 0 in lambda2 4.581 * [taylor]: Taking taylor expansion of 0 in R 4.581 * [taylor]: Taking taylor expansion of 0 in lambda2 4.581 * [taylor]: Taking taylor expansion of 0 in R 4.581 * [taylor]: Taking taylor expansion of 0 in lambda2 4.581 * [taylor]: Taking taylor expansion of 0 in R 4.581 * [taylor]: Taking taylor expansion of 0 in lambda2 4.581 * [taylor]: Taking taylor expansion of 0 in R 4.581 * [taylor]: Taking taylor expansion of 0 in R 4.581 * [taylor]: Taking taylor expansion of 0 in R 4.581 * [taylor]: Taking taylor expansion of 0 in R 4.582 * [taylor]: Taking taylor expansion of 0 in R 4.583 * [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 4.583 * [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 4.583 * [taylor]: Taking taylor expansion of -1 in R 4.583 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.583 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.584 * [taylor]: Taking taylor expansion of R in R 4.584 * [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 4.584 * [taylor]: Taking taylor expansion of -1 in lambda2 4.584 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.584 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.584 * [taylor]: Taking taylor expansion of R in lambda2 4.585 * [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 4.585 * [taylor]: Taking taylor expansion of -1 in lambda1 4.585 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.585 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.585 * [taylor]: Taking taylor expansion of R in lambda1 4.586 * [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 4.586 * [taylor]: Taking taylor expansion of -1 in phi2 4.586 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.586 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.586 * [taylor]: Taking taylor expansion of R in phi2 4.587 * [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 4.587 * [taylor]: Taking taylor expansion of -1 in phi1 4.587 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.587 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.587 * [taylor]: Taking taylor expansion of R in phi1 4.587 * [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 4.587 * [taylor]: Taking taylor expansion of -1 in phi1 4.587 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.587 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.588 * [taylor]: Taking taylor expansion of R in phi1 4.591 * [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 4.591 * [taylor]: Taking taylor expansion of -1 in phi2 4.591 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.591 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.591 * [taylor]: Taking taylor expansion of R in phi2 4.592 * [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 4.592 * [taylor]: Taking taylor expansion of -1 in lambda1 4.592 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.592 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.593 * [taylor]: Taking taylor expansion of R in lambda1 4.593 * [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 4.593 * [taylor]: Taking taylor expansion of -1 in lambda2 4.593 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.593 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.594 * [taylor]: Taking taylor expansion of R in lambda2 4.595 * [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 4.595 * [taylor]: Taking taylor expansion of -1 in R 4.595 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 4.595 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 4.595 * [taylor]: Taking taylor expansion of R in R 4.597 * [taylor]: Taking taylor expansion of 0 in phi2 4.597 * [taylor]: Taking taylor expansion of 0 in lambda1 4.597 * [taylor]: Taking taylor expansion of 0 in lambda2 4.597 * [taylor]: Taking taylor expansion of 0 in R 4.598 * [taylor]: Taking taylor expansion of 0 in lambda1 4.598 * [taylor]: Taking taylor expansion of 0 in lambda2 4.598 * [taylor]: Taking taylor expansion of 0 in R 4.599 * [taylor]: Taking taylor expansion of 0 in lambda2 4.599 * [taylor]: Taking taylor expansion of 0 in R 4.600 * [taylor]: Taking taylor expansion of 0 in R 4.602 * [taylor]: Taking taylor expansion of 0 in phi2 4.602 * [taylor]: Taking taylor expansion of 0 in lambda1 4.602 * [taylor]: Taking taylor expansion of 0 in lambda2 4.602 * [taylor]: Taking taylor expansion of 0 in R 4.602 * [taylor]: Taking taylor expansion of 0 in lambda1 4.602 * [taylor]: Taking taylor expansion of 0 in lambda2 4.602 * [taylor]: Taking taylor expansion of 0 in R 4.603 * [taylor]: Taking taylor expansion of 0 in lambda1 4.603 * [taylor]: Taking taylor expansion of 0 in lambda2 4.603 * [taylor]: Taking taylor expansion of 0 in R 4.603 * [taylor]: Taking taylor expansion of 0 in lambda2 4.603 * [taylor]: Taking taylor expansion of 0 in R 4.603 * [taylor]: Taking taylor expansion of 0 in lambda2 4.603 * [taylor]: Taking taylor expansion of 0 in R 4.604 * [taylor]: Taking taylor expansion of 0 in lambda2 4.604 * [taylor]: Taking taylor expansion of 0 in R 4.604 * [taylor]: Taking taylor expansion of 0 in R 4.604 * [taylor]: Taking taylor expansion of 0 in R 4.604 * [taylor]: Taking taylor expansion of 0 in R 4.605 * [taylor]: Taking taylor expansion of 0 in R 4.606 * * * [progress]: simplifying candidates 4.607 * [simplify]: Simplifying using # : (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2)))))) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log 1) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (log (exp (* (sin phi1) (sin phi2))))) (exp (log (exp (* (sin phi1) (sin phi2))))) (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (log (exp (* (sin phi1) (sin phi2))))) (* (* (log (exp (* (sin phi1) (sin phi2)))) (log (exp (* (sin phi1) (sin phi2))))) (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* 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))))))) (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) 4.671 * * [simplify]: iteration 0 : 4996 enodes (cost 1145 ) 4.671 * * [simplify]: iteration 1 : 4996 enodes (cost 1145 ) 4.675 * [simplify]: Simplified to: (* (log (cbrt (exp (* (sin phi1) (sin phi2))))) 2) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (* (sin phi1) (/ (sin phi2) 2)) (* (sin phi1) (/ (sin phi2) 2)) (log 1) (* (sin phi1) (sin phi2)) (sin phi1) (* (sin phi1) (sin phi2)) (sin phi1) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (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))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (sin phi2) (cbrt (sin phi1))) (* (sin phi2) (sqrt (sin phi1))) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* phi1 phi2) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 4.675 * * * [progress]: adding candidates to table 4.770 * [progress]: [Phase 3 of 3] Extracting. 4.770 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 4.783 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 4.783 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # #) 4.934 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # #) 5.023 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # #) 5.176 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # #) 5.266 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 5.420 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 5.570 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 5.726 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 5.881 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 6.033 * * * [regime]: Found split indices: #