7.995 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.267 * * * [progress]: [2/2] Setting up program. 0.271 * [progress]: [Phase 2 of 3] Improving. 0.272 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.274 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.275 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.276 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.278 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.278 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.278 * * [progress]: iteration 1 / 4 0.278 * * * [progress]: picking best candidate 0.282 * * * * [pick]: Picked # 0.282 * * * [progress]: localizing error 0.306 * * * [progress]: generating rewritten candidates 0.306 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.311 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.314 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.320 * * * [progress]: generating series expansions 0.320 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.320 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.320 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.320 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.320 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.320 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.320 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.320 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.320 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.320 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.321 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.321 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.321 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.321 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.321 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.321 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.324 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.324 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.324 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.324 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.328 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.328 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.328 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.328 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.328 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.330 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.330 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.330 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.330 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.330 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.331 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.331 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.331 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.333 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.333 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.333 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.333 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [taylor]: Taking taylor expansion of 0 in lambda2 0.334 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.334 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.334 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.334 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.334 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.335 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.335 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.335 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.335 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.335 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.335 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.336 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.336 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.336 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.336 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.336 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.336 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.337 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.337 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.337 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.337 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.337 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * [taylor]: Taking taylor expansion of 0 in lambda2 0.337 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.338 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.338 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.339 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in phi2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in phi2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [taylor]: Taking taylor expansion of 0 in lambda1 0.340 * [taylor]: Taking taylor expansion of 0 in lambda2 0.340 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.340 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.341 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.342 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in phi2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.343 * [taylor]: Taking taylor expansion of 0 in lambda1 0.343 * [taylor]: Taking taylor expansion of 0 in lambda2 0.344 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.344 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.345 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.346 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.346 * [taylor]: Taking taylor expansion of 0 in phi2 0.346 * [taylor]: Taking taylor expansion of 0 in lambda1 0.346 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * [taylor]: Taking taylor expansion of 0 in lambda1 0.347 * [taylor]: Taking taylor expansion of 0 in lambda2 0.347 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.347 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.347 * [taylor]: Taking taylor expansion of R in R 0.347 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.347 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.348 * [taylor]: Taking taylor expansion of R in lambda2 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.348 * [taylor]: Taking taylor expansion of R in lambda1 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.348 * [taylor]: Taking taylor expansion of R in phi2 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.348 * [taylor]: Taking taylor expansion of R in phi1 0.348 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.348 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.349 * [taylor]: Taking taylor expansion of R in phi1 0.349 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.349 * [taylor]: Taking taylor expansion of R in phi2 0.349 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.349 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.349 * [taylor]: Taking taylor expansion of R in lambda1 0.350 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.350 * [taylor]: Taking taylor expansion of R in lambda2 0.350 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.350 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.350 * [taylor]: Taking taylor expansion of R in R 0.351 * [taylor]: Taking taylor expansion of 0 in phi2 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in lambda1 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in lambda2 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.351 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in phi2 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.353 * [taylor]: Taking taylor expansion of 0 in lambda1 0.353 * [taylor]: Taking taylor expansion of 0 in lambda2 0.353 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda1 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in R 0.358 * [taylor]: Taking taylor expansion of 0 in lambda2 0.358 * [taylor]: Taking taylor expansion of 0 in R 0.359 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.359 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.360 * [taylor]: Taking taylor expansion of R in R 0.360 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.360 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.360 * [taylor]: Taking taylor expansion of R in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.361 * [taylor]: Taking taylor expansion of R in lambda1 0.361 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.361 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.361 * [taylor]: Taking taylor expansion of R in phi2 0.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.362 * [taylor]: Taking taylor expansion of R in phi1 0.362 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi1 0.362 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi1 0.363 * [taylor]: Taking taylor expansion of R in phi1 0.363 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in phi2 0.363 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in phi2 0.363 * [taylor]: Taking taylor expansion of R in phi2 0.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda1 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 0.364 * [taylor]: Taking taylor expansion of R in lambda1 0.364 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in lambda2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda2 0.364 * [taylor]: Taking taylor expansion of R in lambda2 0.365 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) R) in R 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in R 0.365 * [taylor]: Taking taylor expansion of R in R 0.366 * [taylor]: Taking taylor expansion of 0 in phi2 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.366 * [taylor]: Taking taylor expansion of 0 in lambda1 0.366 * [taylor]: Taking taylor expansion of 0 in lambda2 0.366 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.367 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in phi2 0.369 * [taylor]: Taking taylor expansion of 0 in lambda1 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda1 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.369 * [taylor]: Taking taylor expansion of 0 in lambda1 0.369 * [taylor]: Taking taylor expansion of 0 in lambda2 0.369 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.373 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.373 * [taylor]: Taking taylor expansion of -1 in R 0.373 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.373 * [taylor]: Taking taylor expansion of R in R 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.374 * [taylor]: Taking taylor expansion of -1 in lambda2 0.374 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.374 * [taylor]: Taking taylor expansion of R in lambda2 0.374 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.374 * [taylor]: Taking taylor expansion of -1 in lambda1 0.374 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.375 * [taylor]: Taking taylor expansion of R in lambda1 0.375 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.375 * [taylor]: Taking taylor expansion of -1 in phi2 0.375 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.375 * [taylor]: Taking taylor expansion of R in phi2 0.375 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.375 * [taylor]: Taking taylor expansion of -1 in phi1 0.375 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.376 * [taylor]: Taking taylor expansion of R in phi1 0.376 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi1 0.376 * [taylor]: Taking taylor expansion of -1 in phi1 0.376 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.376 * [taylor]: Taking taylor expansion of R in phi1 0.377 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in phi2 0.377 * [taylor]: Taking taylor expansion of -1 in phi2 0.377 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.377 * [taylor]: Taking taylor expansion of R in phi2 0.378 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.378 * [taylor]: Taking taylor expansion of -1 in lambda1 0.378 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.378 * [taylor]: Taking taylor expansion of R in lambda1 0.379 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.379 * [taylor]: Taking taylor expansion of -1 in lambda2 0.379 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.379 * [taylor]: Taking taylor expansion of R in lambda2 0.380 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.380 * [taylor]: Taking taylor expansion of -1 in R 0.380 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in R 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in R 0.380 * [taylor]: Taking taylor expansion of R in R 0.382 * [taylor]: Taking taylor expansion of 0 in phi2 0.382 * [taylor]: Taking taylor expansion of 0 in lambda1 0.382 * [taylor]: Taking taylor expansion of 0 in lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda1 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in phi2 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.388 * [taylor]: Taking taylor expansion of 0 in lambda1 0.388 * [taylor]: Taking taylor expansion of 0 in lambda2 0.388 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda1 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.389 * [taylor]: Taking taylor expansion of 0 in lambda2 0.389 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.394 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.395 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.395 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.395 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.395 * [taylor]: Taking taylor expansion of phi1 in phi2 0.395 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.395 * [taylor]: Taking taylor expansion of phi2 in phi2 0.395 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.395 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.395 * [taylor]: Taking taylor expansion of phi1 in phi1 0.395 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.395 * [taylor]: Taking taylor expansion of phi2 in phi1 0.395 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.395 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.395 * [taylor]: Taking taylor expansion of phi1 in phi1 0.395 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.395 * [taylor]: Taking taylor expansion of phi2 in phi1 0.395 * [taylor]: Taking taylor expansion of 0 in phi2 0.398 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.398 * [taylor]: Taking taylor expansion of phi2 in phi2 0.401 * [taylor]: Taking taylor expansion of 0 in phi2 0.405 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.405 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.405 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.405 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.405 * [taylor]: Taking taylor expansion of phi2 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.411 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.411 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.411 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.411 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.411 * [taylor]: Taking taylor expansion of phi1 in phi2 0.411 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.411 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.411 * [taylor]: Taking taylor expansion of phi2 in phi2 0.412 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.412 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.412 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.412 * [taylor]: Taking taylor expansion of phi1 in phi1 0.412 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.412 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.412 * [taylor]: Taking taylor expansion of phi2 in phi1 0.412 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.412 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.412 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.412 * [taylor]: Taking taylor expansion of phi1 in phi1 0.412 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.412 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.412 * [taylor]: Taking taylor expansion of phi2 in phi1 0.413 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.413 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.413 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.413 * [taylor]: Taking taylor expansion of phi1 in phi2 0.413 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.413 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.413 * [taylor]: Taking taylor expansion of phi2 in phi2 0.415 * [taylor]: Taking taylor expansion of 0 in phi2 0.419 * [taylor]: Taking taylor expansion of 0 in phi2 0.425 * [taylor]: Taking taylor expansion of 0 in phi2 0.425 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.425 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.425 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.425 * [taylor]: Taking taylor expansion of -1 in phi2 0.425 * [taylor]: Taking taylor expansion of phi1 in phi2 0.425 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.425 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.425 * [taylor]: Taking taylor expansion of -1 in phi2 0.425 * [taylor]: Taking taylor expansion of phi2 in phi2 0.425 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.425 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.425 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.425 * [taylor]: Taking taylor expansion of -1 in phi1 0.425 * [taylor]: Taking taylor expansion of phi1 in phi1 0.426 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.426 * [taylor]: Taking taylor expansion of -1 in phi1 0.426 * [taylor]: Taking taylor expansion of phi2 in phi1 0.426 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.426 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.426 * [taylor]: Taking taylor expansion of -1 in phi1 0.426 * [taylor]: Taking taylor expansion of phi1 in phi1 0.426 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.426 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.426 * [taylor]: Taking taylor expansion of -1 in phi1 0.426 * [taylor]: Taking taylor expansion of phi2 in phi1 0.427 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.427 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.427 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.427 * [taylor]: Taking taylor expansion of -1 in phi2 0.427 * [taylor]: Taking taylor expansion of phi1 in phi2 0.427 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.427 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.427 * [taylor]: Taking taylor expansion of -1 in phi2 0.427 * [taylor]: Taking taylor expansion of phi2 in phi2 0.429 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.439 * [taylor]: Taking taylor expansion of 0 in phi2 0.439 * * * [progress]: simplifying candidates 0.440 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.447 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.450 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.459 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.485 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.487 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.487 * * * [progress]: adding candidates to table 0.772 * * [progress]: iteration 2 / 4 0.772 * * * [progress]: picking best candidate 0.828 * * * * [pick]: Picked # 0.828 * * * [progress]: localizing error 0.860 * * * [progress]: generating rewritten candidates 0.860 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.861 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.864 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.868 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.887 * * * [progress]: generating series expansions 0.887 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.888 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.888 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.888 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.889 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.890 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.891 * [taylor]: Taking taylor expansion of 0 in phi2 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [taylor]: Taking taylor expansion of 0 in phi2 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.891 * [taylor]: Taking taylor expansion of 0 in lambda1 0.891 * [taylor]: Taking taylor expansion of 0 in lambda2 0.892 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.892 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.893 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.894 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.895 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.896 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in phi2 0.897 * [taylor]: Taking taylor expansion of 0 in lambda1 0.897 * [taylor]: Taking taylor expansion of 0 in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in lambda1 0.897 * [taylor]: Taking taylor expansion of 0 in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in phi2 0.897 * [taylor]: Taking taylor expansion of 0 in lambda1 0.897 * [taylor]: Taking taylor expansion of 0 in lambda2 0.897 * [taylor]: Taking taylor expansion of 0 in lambda1 0.897 * [taylor]: Taking taylor expansion of 0 in lambda2 0.898 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.898 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.899 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.899 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.900 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.901 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.901 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.902 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in phi2 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in phi2 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.903 * [taylor]: Taking taylor expansion of 0 in lambda1 0.903 * [taylor]: Taking taylor expansion of 0 in lambda2 0.904 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.904 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.904 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.904 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.904 * [taylor]: Taking taylor expansion of R in R 0.904 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.904 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.905 * [taylor]: Taking taylor expansion of R in lambda2 0.905 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.905 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.905 * [taylor]: Taking taylor expansion of R in lambda1 0.905 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.905 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.906 * [taylor]: Taking taylor expansion of R in phi2 0.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.906 * [taylor]: Taking taylor expansion of R in phi1 0.906 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 0.906 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 0.906 * [taylor]: Taking taylor expansion of R in phi1 0.907 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 0.907 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 0.907 * [taylor]: Taking taylor expansion of R in phi2 0.908 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.908 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.908 * [taylor]: Taking taylor expansion of R in lambda1 0.908 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.908 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.909 * [taylor]: Taking taylor expansion of R in lambda2 0.909 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.909 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.909 * [taylor]: Taking taylor expansion of R in R 0.910 * [taylor]: Taking taylor expansion of 0 in phi2 0.910 * [taylor]: Taking taylor expansion of 0 in lambda1 0.910 * [taylor]: Taking taylor expansion of 0 in lambda2 0.910 * [taylor]: Taking taylor expansion of 0 in R 0.911 * [taylor]: Taking taylor expansion of 0 in lambda1 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in R 0.911 * [taylor]: Taking taylor expansion of 0 in lambda2 0.911 * [taylor]: Taking taylor expansion of 0 in R 0.912 * [taylor]: Taking taylor expansion of 0 in R 0.914 * [taylor]: Taking taylor expansion of 0 in phi2 0.914 * [taylor]: Taking taylor expansion of 0 in lambda1 0.914 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [taylor]: Taking taylor expansion of 0 in R 0.914 * [taylor]: Taking taylor expansion of 0 in lambda1 0.914 * [taylor]: Taking taylor expansion of 0 in lambda2 0.914 * [taylor]: Taking taylor expansion of 0 in R 0.917 * [taylor]: Taking taylor expansion of 0 in lambda1 0.917 * [taylor]: Taking taylor expansion of 0 in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in R 0.917 * [taylor]: Taking taylor expansion of 0 in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in R 0.917 * [taylor]: Taking taylor expansion of 0 in lambda2 0.917 * [taylor]: Taking taylor expansion of 0 in R 0.918 * [taylor]: Taking taylor expansion of 0 in lambda2 0.918 * [taylor]: Taking taylor expansion of 0 in R 0.919 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.919 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.919 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.920 * [taylor]: Taking taylor expansion of R in R 0.920 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.920 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.921 * [taylor]: Taking taylor expansion of R in lambda2 0.921 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.921 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.922 * [taylor]: Taking taylor expansion of R in lambda1 0.922 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.922 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.923 * [taylor]: Taking taylor expansion of R in phi2 0.923 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.923 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.924 * [taylor]: Taking taylor expansion of R in phi1 0.924 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.925 * [taylor]: Taking taylor expansion of R in phi1 0.925 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.926 * [taylor]: Taking taylor expansion of R in phi2 0.926 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.926 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.927 * [taylor]: Taking taylor expansion of R in lambda1 0.927 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.927 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.928 * [taylor]: Taking taylor expansion of R in lambda2 0.928 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.928 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.929 * [taylor]: Taking taylor expansion of R in R 0.931 * [taylor]: Taking taylor expansion of 0 in phi2 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in R 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in R 0.932 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [taylor]: Taking taylor expansion of 0 in R 0.933 * [taylor]: Taking taylor expansion of 0 in R 0.934 * [taylor]: Taking taylor expansion of 0 in phi2 0.934 * [taylor]: Taking taylor expansion of 0 in lambda1 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in lambda1 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in lambda1 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.936 * [taylor]: Taking taylor expansion of 0 in R 0.937 * [taylor]: Taking taylor expansion of 0 in R 0.940 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.940 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.940 * [taylor]: Taking taylor expansion of -1 in R 0.940 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.941 * [taylor]: Taking taylor expansion of R in R 0.941 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.941 * [taylor]: Taking taylor expansion of -1 in lambda2 0.941 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.942 * [taylor]: Taking taylor expansion of R in lambda2 0.942 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.942 * [taylor]: Taking taylor expansion of -1 in lambda1 0.942 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.942 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.943 * [taylor]: Taking taylor expansion of R in lambda1 0.943 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.943 * [taylor]: Taking taylor expansion of -1 in phi2 0.943 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.943 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.944 * [taylor]: Taking taylor expansion of R in phi2 0.944 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.944 * [taylor]: Taking taylor expansion of -1 in phi1 0.944 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.944 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.945 * [taylor]: Taking taylor expansion of R in phi1 0.945 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.945 * [taylor]: Taking taylor expansion of -1 in phi1 0.945 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.945 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.946 * [taylor]: Taking taylor expansion of R in phi1 0.947 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.947 * [taylor]: Taking taylor expansion of -1 in phi2 0.947 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.947 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.947 * [taylor]: Taking taylor expansion of R in phi2 0.948 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.948 * [taylor]: Taking taylor expansion of -1 in lambda1 0.948 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.948 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.949 * [taylor]: Taking taylor expansion of R in lambda1 0.950 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.950 * [taylor]: Taking taylor expansion of -1 in lambda2 0.950 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.950 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.950 * [taylor]: Taking taylor expansion of R in lambda2 0.951 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.952 * [taylor]: Taking taylor expansion of -1 in R 0.952 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.952 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.952 * [taylor]: Taking taylor expansion of R in R 0.955 * [taylor]: Taking taylor expansion of 0 in phi2 0.955 * [taylor]: Taking taylor expansion of 0 in lambda1 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [taylor]: Taking taylor expansion of 0 in lambda1 0.957 * [taylor]: Taking taylor expansion of 0 in lambda2 0.957 * [taylor]: Taking taylor expansion of 0 in R 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.958 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [taylor]: Taking taylor expansion of 0 in R 0.963 * [taylor]: Taking taylor expansion of 0 in phi2 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in R 0.965 * [taylor]: Taking taylor expansion of 0 in lambda1 0.965 * [taylor]: Taking taylor expansion of 0 in lambda2 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [taylor]: Taking taylor expansion of 0 in R 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [taylor]: Taking taylor expansion of 0 in R 0.967 * [taylor]: Taking taylor expansion of 0 in lambda2 0.967 * [taylor]: Taking taylor expansion of 0 in R 0.967 * [taylor]: Taking taylor expansion of 0 in R 0.967 * [taylor]: Taking taylor expansion of 0 in R 0.967 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.973 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 0.973 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.973 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.973 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.973 * [taylor]: Taking taylor expansion of phi1 in phi2 0.973 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.973 * [taylor]: Taking taylor expansion of phi2 in phi2 0.973 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.973 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.973 * [taylor]: Taking taylor expansion of phi1 in phi1 0.973 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.973 * [taylor]: Taking taylor expansion of phi2 in phi1 0.973 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.973 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.973 * [taylor]: Taking taylor expansion of phi1 in phi1 0.973 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.973 * [taylor]: Taking taylor expansion of phi2 in phi1 0.974 * [taylor]: Taking taylor expansion of 0 in phi2 0.976 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.976 * [taylor]: Taking taylor expansion of phi2 in phi2 0.979 * [taylor]: Taking taylor expansion of 0 in phi2 0.983 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.983 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.983 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.983 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.983 * [taylor]: Taking taylor expansion of phi2 in phi2 0.990 * [taylor]: Taking taylor expansion of 0 in phi2 0.990 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.990 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.990 * [taylor]: Taking taylor expansion of phi1 in phi2 0.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.990 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.990 * [taylor]: Taking taylor expansion of phi2 in phi2 0.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.990 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.990 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.990 * [taylor]: Taking taylor expansion of phi1 in phi1 0.991 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.991 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.991 * [taylor]: Taking taylor expansion of phi2 in phi1 0.991 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.991 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.991 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.991 * [taylor]: Taking taylor expansion of phi1 in phi1 0.991 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.991 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.991 * [taylor]: Taking taylor expansion of phi2 in phi1 0.991 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.992 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.992 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.992 * [taylor]: Taking taylor expansion of phi1 in phi2 0.992 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.992 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.992 * [taylor]: Taking taylor expansion of phi2 in phi2 0.994 * [taylor]: Taking taylor expansion of 0 in phi2 1.001 * [taylor]: Taking taylor expansion of 0 in phi2 1.006 * [taylor]: Taking taylor expansion of 0 in phi2 1.007 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.007 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.007 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.007 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.007 * [taylor]: Taking taylor expansion of -1 in phi2 1.007 * [taylor]: Taking taylor expansion of phi1 in phi2 1.007 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.007 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.007 * [taylor]: Taking taylor expansion of -1 in phi2 1.007 * [taylor]: Taking taylor expansion of phi2 in phi2 1.007 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.007 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.007 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.007 * [taylor]: Taking taylor expansion of -1 in phi1 1.007 * [taylor]: Taking taylor expansion of phi1 in phi1 1.008 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.008 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.008 * [taylor]: Taking taylor expansion of -1 in phi1 1.008 * [taylor]: Taking taylor expansion of phi2 in phi1 1.008 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.008 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.008 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.008 * [taylor]: Taking taylor expansion of -1 in phi1 1.008 * [taylor]: Taking taylor expansion of phi1 in phi1 1.008 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.008 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.008 * [taylor]: Taking taylor expansion of -1 in phi1 1.008 * [taylor]: Taking taylor expansion of phi2 in phi1 1.009 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.009 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.009 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.009 * [taylor]: Taking taylor expansion of -1 in phi2 1.009 * [taylor]: Taking taylor expansion of phi1 in phi2 1.009 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.009 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.009 * [taylor]: Taking taylor expansion of -1 in phi2 1.009 * [taylor]: Taking taylor expansion of phi2 in phi2 1.011 * [taylor]: Taking taylor expansion of 0 in phi2 1.015 * [taylor]: Taking taylor expansion of 0 in phi2 1.021 * [taylor]: Taking taylor expansion of 0 in phi2 1.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.021 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.021 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda2 1.021 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.021 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.021 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda2 1.021 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.021 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.021 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda2 1.021 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 1.021 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.021 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.022 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.022 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.022 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.022 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.022 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.022 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.022 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.022 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in lambda1 1.022 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.022 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.022 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in lambda1 1.022 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.022 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.022 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.022 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.022 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.022 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.022 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.022 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.022 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.022 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.022 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.022 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.022 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.022 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi2 1.022 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.022 * [taylor]: Taking taylor expansion of phi1 in phi2 1.022 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.022 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.022 * [taylor]: Taking taylor expansion of phi2 in phi2 1.022 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.022 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.022 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.022 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.022 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.022 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.022 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.022 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.022 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.022 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.022 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.022 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.023 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.023 * [taylor]: Taking taylor expansion of phi1 in phi1 1.023 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.023 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.023 * [taylor]: Taking taylor expansion of phi2 in phi1 1.023 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.023 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.023 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.023 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.023 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.023 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.023 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.023 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) in phi1 1.023 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.023 * [taylor]: Taking taylor expansion of phi1 in phi1 1.023 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi1 1.023 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.023 * [taylor]: Taking taylor expansion of phi2 in phi1 1.023 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi1 1.023 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.023 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.023 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.023 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi1 1.023 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.023 * [taylor]: Taking taylor expansion of (sin lambda2) in phi1 1.023 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.025 * [taylor]: Taking taylor expansion of (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) in phi2 1.025 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.025 * [taylor]: Taking taylor expansion of phi2 in phi2 1.025 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in phi2 1.025 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.025 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.025 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.025 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.025 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.025 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in phi2 1.025 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.025 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.025 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.025 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.026 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) in lambda1 1.026 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.026 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.026 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.026 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.026 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.026 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.026 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.027 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.027 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.027 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.027 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.027 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in phi2 1.036 * [taylor]: Taking taylor expansion of 0 in lambda1 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.044 * [taylor]: Taking taylor expansion of 0 in lambda1 1.044 * [taylor]: Taking taylor expansion of 0 in lambda2 1.048 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.048 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.061 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi2 1.061 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.061 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.061 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.061 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.061 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.061 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.061 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.061 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.061 * [taylor]: Taking taylor expansion of phi2 in phi2 1.061 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.061 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.061 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin lambda2)))) in phi2 1.061 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.061 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin lambda2))) in phi2 1.061 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.061 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.062 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin lambda2)) in phi2 1.062 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.062 * [taylor]: Taking taylor expansion of phi2 in phi2 1.062 * [taylor]: Taking taylor expansion of (sin lambda2) in phi2 1.062 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.063 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.063 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.063 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.063 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.063 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.063 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.063 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.063 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.063 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.063 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.063 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.063 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.063 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.063 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.063 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.063 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.064 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.064 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.064 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.064 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.064 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.065 * [taylor]: Taking taylor expansion of 0 in lambda1 1.065 * [taylor]: Taking taylor expansion of 0 in lambda2 1.075 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2))))) in lambda1 1.075 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (cos lambda1) (cos lambda2))) (* 1/2 (* (sin lambda1) (sin lambda2)))) in lambda1 1.075 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.075 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.075 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.075 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.075 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.075 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.075 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.075 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin lambda2))) in lambda1 1.075 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.075 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.075 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.075 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.075 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.075 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.076 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.076 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.076 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.076 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.076 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.077 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.077 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.077 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.077 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.077 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.077 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.077 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.078 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.078 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.078 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.078 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.078 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.078 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.078 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.078 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.078 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.078 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.078 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.078 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.079 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.079 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.079 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.079 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.079 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.079 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.079 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.079 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.079 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.080 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.080 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.080 * [taylor]: Taking taylor expansion of phi2 in phi2 1.080 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.080 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.080 * [taylor]: Taking taylor expansion of phi1 in phi2 1.080 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.080 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.080 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.080 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.080 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.080 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.080 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.080 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.080 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.080 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.080 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.080 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.081 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.081 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.081 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.081 * [taylor]: Taking taylor expansion of phi2 in phi1 1.081 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.081 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.081 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.081 * [taylor]: Taking taylor expansion of phi1 in phi1 1.081 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.081 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.081 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.081 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.081 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.081 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.081 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.081 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.081 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.081 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.081 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.081 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.081 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.081 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.082 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.082 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi1 1.082 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.082 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.082 * [taylor]: Taking taylor expansion of phi2 in phi1 1.082 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi1 1.082 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.082 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.082 * [taylor]: Taking taylor expansion of phi1 in phi1 1.082 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi1 1.082 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.082 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.082 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.082 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.082 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.082 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.082 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.082 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.082 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.082 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.082 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.083 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.083 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.083 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.085 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in phi2 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.085 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.085 * [taylor]: Taking taylor expansion of phi2 in phi2 1.085 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in phi2 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.085 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.085 * [taylor]: Taking taylor expansion of phi1 in phi2 1.085 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in phi2 1.085 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.085 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.085 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.085 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.085 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.085 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.085 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.085 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.085 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.085 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.085 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.085 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.085 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.087 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.087 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.088 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.088 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.088 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.088 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.089 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.089 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.089 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.095 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.095 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.095 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.095 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.095 * [taylor]: Taking taylor expansion of (+ (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.095 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.095 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.095 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.095 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.095 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.096 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.096 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.096 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.107 * [taylor]: Taking taylor expansion of 0 in phi2 1.107 * [taylor]: Taking taylor expansion of 0 in lambda1 1.107 * [taylor]: Taking taylor expansion of 0 in lambda2 1.116 * [taylor]: Taking taylor expansion of 0 in lambda1 1.117 * [taylor]: Taking taylor expansion of 0 in lambda2 1.124 * [taylor]: Taking taylor expansion of 0 in lambda2 1.145 * [taylor]: Taking taylor expansion of 0 in phi2 1.145 * [taylor]: Taking taylor expansion of 0 in lambda1 1.145 * [taylor]: Taking taylor expansion of 0 in lambda2 1.145 * [taylor]: Taking taylor expansion of 0 in lambda1 1.145 * [taylor]: Taking taylor expansion of 0 in lambda2 1.146 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.146 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.146 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.146 * [taylor]: Taking taylor expansion of -1 in lambda2 1.146 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.146 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.146 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.146 * [taylor]: Taking taylor expansion of -1 in lambda2 1.146 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.146 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.146 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.146 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.146 * [taylor]: Taking taylor expansion of -1 in lambda2 1.146 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.146 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.146 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.146 * [taylor]: Taking taylor expansion of -1 in lambda2 1.146 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.146 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.147 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.147 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.147 * [taylor]: Taking taylor expansion of -1 in lambda2 1.147 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.147 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.147 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.147 * [taylor]: Taking taylor expansion of -1 in lambda2 1.147 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.147 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.147 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.147 * [taylor]: Taking taylor expansion of -1 in lambda1 1.147 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.147 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.147 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.147 * [taylor]: Taking taylor expansion of -1 in lambda1 1.147 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.147 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.147 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.147 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.147 * [taylor]: Taking taylor expansion of -1 in lambda1 1.147 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.148 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.148 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.148 * [taylor]: Taking taylor expansion of -1 in lambda1 1.148 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.148 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.148 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.148 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.148 * [taylor]: Taking taylor expansion of -1 in lambda1 1.148 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.148 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.148 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.148 * [taylor]: Taking taylor expansion of -1 in lambda1 1.148 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.148 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.148 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.148 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.148 * [taylor]: Taking taylor expansion of -1 in phi2 1.149 * [taylor]: Taking taylor expansion of phi1 in phi2 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.149 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.149 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.149 * [taylor]: Taking taylor expansion of -1 in phi2 1.149 * [taylor]: Taking taylor expansion of phi2 in phi2 1.149 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.149 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.149 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.149 * [taylor]: Taking taylor expansion of -1 in phi2 1.149 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.149 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.149 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.149 * [taylor]: Taking taylor expansion of -1 in phi2 1.149 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.149 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.149 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.149 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.149 * [taylor]: Taking taylor expansion of -1 in phi2 1.149 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.149 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.149 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.149 * [taylor]: Taking taylor expansion of -1 in phi2 1.150 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.150 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.150 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.150 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.150 * [taylor]: Taking taylor expansion of -1 in phi1 1.150 * [taylor]: Taking taylor expansion of phi1 in phi1 1.150 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.150 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.150 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.150 * [taylor]: Taking taylor expansion of -1 in phi1 1.150 * [taylor]: Taking taylor expansion of phi2 in phi1 1.150 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.150 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.150 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.150 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.150 * [taylor]: Taking taylor expansion of -1 in phi1 1.150 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.150 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.150 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.150 * [taylor]: Taking taylor expansion of -1 in phi1 1.150 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.150 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.150 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.150 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.151 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi1 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of phi1 in phi1 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi1 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of phi2 in phi1 1.151 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi1 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.151 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.151 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.151 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.151 * [taylor]: Taking taylor expansion of -1 in phi1 1.152 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.152 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi1 1.152 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.152 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.152 * [taylor]: Taking taylor expansion of -1 in phi1 1.152 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.152 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi1 1.152 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.152 * [taylor]: Taking taylor expansion of -1 in phi1 1.152 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in phi2 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.154 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.154 * [taylor]: Taking taylor expansion of -1 in phi2 1.154 * [taylor]: Taking taylor expansion of phi1 in phi2 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in phi2 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.154 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.154 * [taylor]: Taking taylor expansion of -1 in phi2 1.154 * [taylor]: Taking taylor expansion of phi2 in phi2 1.154 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in phi2 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.154 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.154 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.154 * [taylor]: Taking taylor expansion of -1 in phi2 1.154 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.155 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.155 * [taylor]: Taking taylor expansion of -1 in phi2 1.155 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.155 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in phi2 1.155 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.155 * [taylor]: Taking taylor expansion of -1 in phi2 1.155 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.155 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in phi2 1.155 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.155 * [taylor]: Taking taylor expansion of -1 in phi2 1.155 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda1 1.157 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.157 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.157 * [taylor]: Taking taylor expansion of -1 in lambda1 1.157 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda1 1.157 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.157 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.157 * [taylor]: Taking taylor expansion of -1 in lambda1 1.157 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.157 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda1 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.157 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.157 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.157 * [taylor]: Taking taylor expansion of -1 in lambda1 1.157 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.158 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.158 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.158 * [taylor]: Taking taylor expansion of -1 in lambda1 1.158 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.158 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.158 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.158 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.158 * [taylor]: Taking taylor expansion of -1 in lambda1 1.158 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.158 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.158 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.158 * [taylor]: Taking taylor expansion of -1 in lambda1 1.158 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.160 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))))) in lambda2 1.160 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.160 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.160 * [taylor]: Taking taylor expansion of -1 in lambda2 1.160 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.160 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))))) in lambda2 1.160 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.160 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.160 * [taylor]: Taking taylor expansion of -1 in lambda2 1.160 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.160 * [taylor]: Taking taylor expansion of (+ (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2)))) in lambda2 1.160 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.160 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.160 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.160 * [taylor]: Taking taylor expansion of -1 in lambda2 1.160 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.161 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.161 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.161 * [taylor]: Taking taylor expansion of -1 in lambda2 1.161 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.161 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.161 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.161 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.161 * [taylor]: Taking taylor expansion of -1 in lambda2 1.161 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.161 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.161 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.161 * [taylor]: Taking taylor expansion of -1 in lambda2 1.161 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.173 * [taylor]: Taking taylor expansion of 0 in phi2 1.173 * [taylor]: Taking taylor expansion of 0 in lambda1 1.173 * [taylor]: Taking taylor expansion of 0 in lambda2 1.187 * [taylor]: Taking taylor expansion of 0 in lambda1 1.187 * [taylor]: Taking taylor expansion of 0 in lambda2 1.195 * [taylor]: Taking taylor expansion of 0 in lambda2 1.215 * [taylor]: Taking taylor expansion of 0 in phi2 1.215 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * * * [progress]: simplifying candidates 1.217 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (log (* (cos phi1) (cos phi2))) (log (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (- (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 1.224 * * [simplify]: iteration 0 : 486 enodes (cost 1308 ) 1.233 * * [simplify]: iteration 1 : 2165 enodes (cost 1097 ) 1.275 * * [simplify]: iteration 2 : 5001 enodes (cost 1096 ) 1.279 * [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))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (log (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (exp (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (pow (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (sqrt (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) 2) (+ (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (+ (* (* (sin lambda1) (sin lambda2)) (- (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2)))) 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* 2 (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (cos phi1) (cos phi2)) (sqrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (+ (* (sin lambda1) (sin lambda2)) (* (cos lambda1) (cos lambda2)))) (* (* (cos phi1) (cos phi2)) (* 2 (+ (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2)))))) (* (* (cos phi1) (cos phi2)) (+ (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin lambda2)) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (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) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 1.279 * * * [progress]: adding candidates to table 1.642 * * [progress]: iteration 3 / 4 1.643 * * * [progress]: picking best candidate 1.733 * * * * [pick]: Picked # 1.733 * * * [progress]: localizing error 1.772 * * * [progress]: generating rewritten candidates 1.772 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.774 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.776 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.779 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.783 * * * [progress]: generating series expansions 1.783 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.784 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.784 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.784 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.784 * [taylor]: Taking taylor expansion of phi1 in phi2 1.784 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.784 * [taylor]: Taking taylor expansion of phi2 in phi2 1.784 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.784 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.784 * [taylor]: Taking taylor expansion of phi1 in phi1 1.784 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.784 * [taylor]: Taking taylor expansion of phi2 in phi1 1.784 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.784 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.784 * [taylor]: Taking taylor expansion of phi1 in phi1 1.784 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.784 * [taylor]: Taking taylor expansion of phi2 in phi1 1.784 * [taylor]: Taking taylor expansion of 0 in phi2 1.787 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.787 * [taylor]: Taking taylor expansion of phi2 in phi2 1.790 * [taylor]: Taking taylor expansion of 0 in phi2 1.794 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.794 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.794 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.794 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.794 * [taylor]: Taking taylor expansion of phi2 in phi2 1.800 * [taylor]: Taking taylor expansion of 0 in phi2 1.800 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.800 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.800 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.800 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.800 * [taylor]: Taking taylor expansion of phi1 in phi2 1.801 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.801 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.801 * [taylor]: Taking taylor expansion of phi2 in phi2 1.801 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.801 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.801 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.801 * [taylor]: Taking taylor expansion of phi1 in phi1 1.801 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.801 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.801 * [taylor]: Taking taylor expansion of phi2 in phi1 1.801 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.801 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.801 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.801 * [taylor]: Taking taylor expansion of phi1 in phi1 1.802 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.802 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.802 * [taylor]: Taking taylor expansion of phi2 in phi1 1.802 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.802 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.802 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.802 * [taylor]: Taking taylor expansion of phi1 in phi2 1.802 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.802 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.802 * [taylor]: Taking taylor expansion of phi2 in phi2 1.804 * [taylor]: Taking taylor expansion of 0 in phi2 1.808 * [taylor]: Taking taylor expansion of 0 in phi2 1.814 * [taylor]: Taking taylor expansion of 0 in phi2 1.814 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.814 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.814 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.814 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.814 * [taylor]: Taking taylor expansion of -1 in phi2 1.814 * [taylor]: Taking taylor expansion of phi1 in phi2 1.814 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.815 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.815 * [taylor]: Taking taylor expansion of -1 in phi2 1.815 * [taylor]: Taking taylor expansion of phi2 in phi2 1.815 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.815 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.815 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.815 * [taylor]: Taking taylor expansion of -1 in phi1 1.815 * [taylor]: Taking taylor expansion of phi1 in phi1 1.815 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.815 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.815 * [taylor]: Taking taylor expansion of -1 in phi1 1.815 * [taylor]: Taking taylor expansion of phi2 in phi1 1.815 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.815 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.815 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.815 * [taylor]: Taking taylor expansion of -1 in phi1 1.815 * [taylor]: Taking taylor expansion of phi1 in phi1 1.816 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.816 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.816 * [taylor]: Taking taylor expansion of -1 in phi1 1.816 * [taylor]: Taking taylor expansion of phi2 in phi1 1.816 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.816 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.816 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.816 * [taylor]: Taking taylor expansion of -1 in phi2 1.816 * [taylor]: Taking taylor expansion of phi1 in phi2 1.816 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.816 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.816 * [taylor]: Taking taylor expansion of -1 in phi2 1.816 * [taylor]: Taking taylor expansion of phi2 in phi2 1.819 * [taylor]: Taking taylor expansion of 0 in phi2 1.823 * [taylor]: Taking taylor expansion of 0 in phi2 1.829 * [taylor]: Taking taylor expansion of 0 in phi2 1.829 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.829 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.829 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.830 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.830 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.830 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.831 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.831 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.832 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.832 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in phi2 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in phi2 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.833 * [taylor]: Taking taylor expansion of 0 in lambda1 1.833 * [taylor]: Taking taylor expansion of 0 in lambda2 1.834 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.834 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.834 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.835 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.835 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.838 * [taylor]: Taking taylor expansion of 0 in phi2 1.838 * [taylor]: Taking taylor expansion of 0 in lambda1 1.838 * [taylor]: Taking taylor expansion of 0 in lambda2 1.838 * [taylor]: Taking taylor expansion of 0 in lambda1 1.838 * [taylor]: Taking taylor expansion of 0 in lambda2 1.838 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [taylor]: Taking taylor expansion of 0 in phi2 1.839 * [taylor]: Taking taylor expansion of 0 in lambda1 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.839 * [taylor]: Taking taylor expansion of 0 in lambda1 1.839 * [taylor]: Taking taylor expansion of 0 in lambda2 1.840 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.840 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.841 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.842 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.843 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.844 * [taylor]: Taking taylor expansion of 0 in phi2 1.844 * [taylor]: Taking taylor expansion of 0 in lambda1 1.844 * [taylor]: Taking taylor expansion of 0 in lambda2 1.844 * [taylor]: Taking taylor expansion of 0 in lambda1 1.844 * [taylor]: Taking taylor expansion of 0 in lambda2 1.845 * [taylor]: Taking taylor expansion of 0 in lambda2 1.845 * [taylor]: Taking taylor expansion of 0 in phi2 1.845 * [taylor]: Taking taylor expansion of 0 in lambda1 1.845 * [taylor]: Taking taylor expansion of 0 in lambda2 1.845 * [taylor]: Taking taylor expansion of 0 in lambda1 1.845 * [taylor]: Taking taylor expansion of 0 in lambda2 1.845 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 1.845 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in (phi1 phi2) around 0 1.845 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi2 1.846 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.846 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.846 * [taylor]: Taking taylor expansion of phi1 in phi2 1.846 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.846 * [taylor]: Taking taylor expansion of phi2 in phi2 1.848 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 1.848 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.848 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.848 * [taylor]: Taking taylor expansion of phi1 in phi1 1.848 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.848 * [taylor]: Taking taylor expansion of phi2 in phi1 1.855 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 1.855 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.855 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.855 * [taylor]: Taking taylor expansion of phi1 in phi1 1.855 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.855 * [taylor]: Taking taylor expansion of phi2 in phi1 1.857 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 1.857 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.857 * [taylor]: Taking taylor expansion of phi2 in phi2 1.861 * [taylor]: Taking taylor expansion of 0 in phi2 1.867 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin phi2) 3))) in phi2 1.868 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin phi2) 3)) in phi2 1.868 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.868 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 1.868 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.868 * [taylor]: Taking taylor expansion of phi2 in phi2 1.872 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in (phi1 phi2) around 0 1.872 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi2 1.872 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.872 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.872 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.872 * [taylor]: Taking taylor expansion of phi1 in phi2 1.872 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.872 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.872 * [taylor]: Taking taylor expansion of phi2 in phi2 1.872 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 1.872 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.872 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.872 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.872 * [taylor]: Taking taylor expansion of phi1 in phi1 1.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.873 * [taylor]: Taking taylor expansion of phi2 in phi1 1.873 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 1.873 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.873 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.873 * [taylor]: Taking taylor expansion of phi1 in phi1 1.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.873 * [taylor]: Taking taylor expansion of phi2 in phi1 1.874 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) in phi2 1.874 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi2 1.874 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.874 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.874 * [taylor]: Taking taylor expansion of phi1 in phi2 1.874 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 1.874 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.874 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.874 * [taylor]: Taking taylor expansion of phi2 in phi2 1.877 * [taylor]: Taking taylor expansion of 0 in phi2 1.883 * [taylor]: Taking taylor expansion of 0 in phi2 1.891 * [taylor]: Taking taylor expansion of 0 in phi2 1.891 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in (phi1 phi2) around 0 1.891 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi2 1.891 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.891 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.892 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.892 * [taylor]: Taking taylor expansion of -1 in phi2 1.892 * [taylor]: Taking taylor expansion of phi1 in phi2 1.892 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.892 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.892 * [taylor]: Taking taylor expansion of -1 in phi2 1.892 * [taylor]: Taking taylor expansion of phi2 in phi2 1.892 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 1.892 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.892 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.892 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.892 * [taylor]: Taking taylor expansion of -1 in phi1 1.892 * [taylor]: Taking taylor expansion of phi1 in phi1 1.893 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.893 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.893 * [taylor]: Taking taylor expansion of -1 in phi1 1.893 * [taylor]: Taking taylor expansion of phi2 in phi1 1.893 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 1.893 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.893 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.893 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.893 * [taylor]: Taking taylor expansion of -1 in phi1 1.893 * [taylor]: Taking taylor expansion of phi1 in phi1 1.893 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.893 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.893 * [taylor]: Taking taylor expansion of -1 in phi1 1.893 * [taylor]: Taking taylor expansion of phi2 in phi1 1.894 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi2 1.894 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi2 1.894 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.894 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.894 * [taylor]: Taking taylor expansion of -1 in phi2 1.894 * [taylor]: Taking taylor expansion of phi1 in phi2 1.894 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 1.894 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.894 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.894 * [taylor]: Taking taylor expansion of -1 in phi2 1.894 * [taylor]: Taking taylor expansion of phi2 in phi2 1.897 * [taylor]: Taking taylor expansion of 0 in phi2 1.903 * [taylor]: Taking taylor expansion of 0 in phi2 1.911 * [taylor]: Taking taylor expansion of 0 in phi2 1.911 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.912 * [approximate]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.912 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.912 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.912 * [taylor]: Taking taylor expansion of R in R 1.912 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.912 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.913 * [taylor]: Taking taylor expansion of R in lambda2 1.913 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.913 * [taylor]: Taking taylor expansion of R in lambda1 1.913 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.913 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.913 * [taylor]: Taking taylor expansion of R in phi2 1.914 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.914 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.914 * [taylor]: Taking taylor expansion of R in phi1 1.914 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi1 1.914 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.914 * [taylor]: Taking taylor expansion of R in phi1 1.915 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in phi2 1.915 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.915 * [taylor]: Taking taylor expansion of R in phi2 1.915 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 1.915 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.916 * [taylor]: Taking taylor expansion of R in lambda1 1.916 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 1.916 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.917 * [taylor]: Taking taylor expansion of R in lambda2 1.917 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 1.917 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 1.917 * [taylor]: Taking taylor expansion of R in R 1.918 * [taylor]: Taking taylor expansion of 0 in phi2 1.918 * [taylor]: Taking taylor expansion of 0 in lambda1 1.918 * [taylor]: Taking taylor expansion of 0 in lambda2 1.918 * [taylor]: Taking taylor expansion of 0 in R 1.919 * [taylor]: Taking taylor expansion of 0 in lambda1 1.919 * [taylor]: Taking taylor expansion of 0 in lambda2 1.919 * [taylor]: Taking taylor expansion of 0 in R 1.919 * [taylor]: Taking taylor expansion of 0 in lambda2 1.919 * [taylor]: Taking taylor expansion of 0 in R 1.920 * [taylor]: Taking taylor expansion of 0 in R 1.921 * [taylor]: Taking taylor expansion of 0 in phi2 1.921 * [taylor]: Taking taylor expansion of 0 in lambda1 1.921 * [taylor]: Taking taylor expansion of 0 in lambda2 1.921 * [taylor]: Taking taylor expansion of 0 in R 1.921 * [taylor]: Taking taylor expansion of 0 in lambda1 1.921 * [taylor]: Taking taylor expansion of 0 in lambda2 1.921 * [taylor]: Taking taylor expansion of 0 in R 1.922 * [taylor]: Taking taylor expansion of 0 in lambda1 1.922 * [taylor]: Taking taylor expansion of 0 in lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in R 1.922 * [taylor]: Taking taylor expansion of 0 in lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in R 1.922 * [taylor]: Taking taylor expansion of 0 in lambda2 1.922 * [taylor]: Taking taylor expansion of 0 in R 1.923 * [taylor]: Taking taylor expansion of 0 in lambda2 1.923 * [taylor]: Taking taylor expansion of 0 in R 1.924 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.924 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.924 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.925 * [taylor]: Taking taylor expansion of R in R 1.925 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.925 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.926 * [taylor]: Taking taylor expansion of R in lambda2 1.926 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.926 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.927 * [taylor]: Taking taylor expansion of R in lambda1 1.927 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.927 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.928 * [taylor]: Taking taylor expansion of R in phi2 1.928 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.928 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.929 * [taylor]: Taking taylor expansion of R in phi1 1.930 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 1.930 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.930 * [taylor]: Taking taylor expansion of R in phi1 1.931 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 1.931 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.931 * [taylor]: Taking taylor expansion of R in phi2 1.932 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 1.932 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.932 * [taylor]: Taking taylor expansion of R in lambda1 1.933 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 1.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.933 * [taylor]: Taking taylor expansion of R in lambda2 1.934 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 1.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 1.934 * [taylor]: Taking taylor expansion of R in R 1.936 * [taylor]: Taking taylor expansion of 0 in phi2 1.936 * [taylor]: Taking taylor expansion of 0 in lambda1 1.936 * [taylor]: Taking taylor expansion of 0 in lambda2 1.936 * [taylor]: Taking taylor expansion of 0 in R 1.940 * [taylor]: Taking taylor expansion of 0 in lambda1 1.940 * [taylor]: Taking taylor expansion of 0 in lambda2 1.940 * [taylor]: Taking taylor expansion of 0 in R 1.941 * [taylor]: Taking taylor expansion of 0 in lambda2 1.941 * [taylor]: Taking taylor expansion of 0 in R 1.941 * [taylor]: Taking taylor expansion of 0 in R 1.943 * [taylor]: Taking taylor expansion of 0 in phi2 1.943 * [taylor]: Taking taylor expansion of 0 in lambda1 1.943 * [taylor]: Taking taylor expansion of 0 in lambda2 1.943 * [taylor]: Taking taylor expansion of 0 in R 1.943 * [taylor]: Taking taylor expansion of 0 in lambda1 1.943 * [taylor]: Taking taylor expansion of 0 in lambda2 1.943 * [taylor]: Taking taylor expansion of 0 in R 1.944 * [taylor]: Taking taylor expansion of 0 in lambda1 1.944 * [taylor]: Taking taylor expansion of 0 in lambda2 1.944 * [taylor]: Taking taylor expansion of 0 in R 1.944 * [taylor]: Taking taylor expansion of 0 in lambda2 1.944 * [taylor]: Taking taylor expansion of 0 in R 1.944 * [taylor]: Taking taylor expansion of 0 in lambda2 1.944 * [taylor]: Taking taylor expansion of 0 in R 1.945 * [taylor]: Taking taylor expansion of 0 in lambda2 1.945 * [taylor]: Taking taylor expansion of 0 in R 1.945 * [taylor]: Taking taylor expansion of 0 in R 1.945 * [taylor]: Taking taylor expansion of 0 in R 1.945 * [taylor]: Taking taylor expansion of 0 in R 1.946 * [taylor]: Taking taylor expansion of 0 in R 1.949 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.949 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.949 * [taylor]: Taking taylor expansion of -1 in R 1.949 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.949 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.949 * [taylor]: Taking taylor expansion of R in R 1.950 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.950 * [taylor]: Taking taylor expansion of -1 in lambda2 1.950 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.950 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.950 * [taylor]: Taking taylor expansion of R in lambda2 1.951 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.951 * [taylor]: Taking taylor expansion of -1 in lambda1 1.951 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.951 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.951 * [taylor]: Taking taylor expansion of R in lambda1 1.952 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.952 * [taylor]: Taking taylor expansion of -1 in phi2 1.952 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.952 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.952 * [taylor]: Taking taylor expansion of R in phi2 1.953 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.953 * [taylor]: Taking taylor expansion of -1 in phi1 1.953 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.953 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.954 * [taylor]: Taking taylor expansion of R in phi1 1.954 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 1.954 * [taylor]: Taking taylor expansion of -1 in phi1 1.954 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 1.954 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.955 * [taylor]: Taking taylor expansion of R in phi1 1.956 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 1.956 * [taylor]: Taking taylor expansion of -1 in phi2 1.956 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 1.956 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.956 * [taylor]: Taking taylor expansion of R in phi2 1.957 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 1.957 * [taylor]: Taking taylor expansion of -1 in lambda1 1.957 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 1.957 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.958 * [taylor]: Taking taylor expansion of R in lambda1 1.959 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 1.959 * [taylor]: Taking taylor expansion of -1 in lambda2 1.959 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 1.959 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.959 * [taylor]: Taking taylor expansion of R in lambda2 1.960 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 1.960 * [taylor]: Taking taylor expansion of -1 in R 1.960 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 1.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 1.961 * [taylor]: Taking taylor expansion of R in R 1.964 * [taylor]: Taking taylor expansion of 0 in phi2 1.964 * [taylor]: Taking taylor expansion of 0 in lambda1 1.964 * [taylor]: Taking taylor expansion of 0 in lambda2 1.964 * [taylor]: Taking taylor expansion of 0 in R 1.966 * [taylor]: Taking taylor expansion of 0 in lambda1 1.966 * [taylor]: Taking taylor expansion of 0 in lambda2 1.966 * [taylor]: Taking taylor expansion of 0 in R 1.967 * [taylor]: Taking taylor expansion of 0 in lambda2 1.967 * [taylor]: Taking taylor expansion of 0 in R 1.969 * [taylor]: Taking taylor expansion of 0 in R 1.972 * [taylor]: Taking taylor expansion of 0 in phi2 1.972 * [taylor]: Taking taylor expansion of 0 in lambda1 1.972 * [taylor]: Taking taylor expansion of 0 in lambda2 1.972 * [taylor]: Taking taylor expansion of 0 in R 1.972 * [taylor]: Taking taylor expansion of 0 in lambda1 1.972 * [taylor]: Taking taylor expansion of 0 in lambda2 1.972 * [taylor]: Taking taylor expansion of 0 in R 1.974 * [taylor]: Taking taylor expansion of 0 in lambda1 1.974 * [taylor]: Taking taylor expansion of 0 in lambda2 1.974 * [taylor]: Taking taylor expansion of 0 in R 1.974 * [taylor]: Taking taylor expansion of 0 in lambda2 1.974 * [taylor]: Taking taylor expansion of 0 in R 1.974 * [taylor]: Taking taylor expansion of 0 in lambda2 1.974 * [taylor]: Taking taylor expansion of 0 in R 1.976 * [taylor]: Taking taylor expansion of 0 in lambda2 1.976 * [taylor]: Taking taylor expansion of 0 in R 1.976 * [taylor]: Taking taylor expansion of 0 in R 1.976 * [taylor]: Taking taylor expansion of 0 in R 1.976 * [taylor]: Taking taylor expansion of 0 in R 1.978 * [taylor]: Taking taylor expansion of 0 in R 1.982 * * * [progress]: simplifying candidates 1.983 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (exp (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (* (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (+ (log (sin phi1)) (log (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* 1 3) (* 1 3) (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (pow (* (sin phi1) (sin phi2)) 1) (pow (sin phi1) 3) (pow (sin phi2) 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) (pow 2 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (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))))) (- (* (pow phi2 3) (pow phi1 3)) (+ (* 1/2 (* (pow phi2 5) (pow phi1 3))) (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) 1.988 * * [simplify]: iteration 0 : 285 enodes (cost 1038 ) 1.993 * * [simplify]: iteration 1 : 1017 enodes (cost 891 ) 2.016 * * [simplify]: iteration 2 : 4784 enodes (cost 891 ) 2.154 * * [simplify]: iteration 3 : 5001 enodes (cost 891 ) 2.157 * [simplify]: Simplified to: (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (sin phi1) (sin phi2) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (* (sin phi1) (sin phi2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2 (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 1/2) (pow (* (sin phi1) (sin phi2)) 1/2) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) 3 3 (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (* (sin phi1) (sin phi2)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (* (sin phi1) (sin phi2)) 2) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)) (pow (pow (* (sin phi1) (sin phi2)) 3) 3) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) 8 (pow (* (sin phi1) (sin phi2)) 2) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3/2) (pow (* (sin phi1) (sin phi2)) 3/2) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (* (pow phi1 3) (- (pow phi2 3) (* 1/2 (pow phi2 5)))) (- (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 2.157 * * * [progress]: adding candidates to table 2.527 * * [progress]: iteration 4 / 4 2.527 * * * [progress]: picking best candidate 2.617 * * * * [pick]: Picked # 2.618 * * * [progress]: localizing error 2.654 * * * [progress]: generating rewritten candidates 2.654 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.658 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.659 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 2.661 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 2) 2.663 * * * [progress]: generating series expansions 2.663 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.664 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.664 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.664 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.664 * [taylor]: Taking taylor expansion of phi1 in phi2 2.664 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.664 * [taylor]: Taking taylor expansion of phi2 in phi2 2.664 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.664 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.664 * [taylor]: Taking taylor expansion of phi1 in phi1 2.664 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.664 * [taylor]: Taking taylor expansion of phi2 in phi1 2.664 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.664 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.664 * [taylor]: Taking taylor expansion of phi1 in phi1 2.664 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.664 * [taylor]: Taking taylor expansion of phi2 in phi1 2.664 * [taylor]: Taking taylor expansion of 0 in phi2 2.667 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.667 * [taylor]: Taking taylor expansion of phi2 in phi2 2.670 * [taylor]: Taking taylor expansion of 0 in phi2 2.674 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.674 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.675 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.675 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.675 * [taylor]: Taking taylor expansion of phi2 in phi2 2.681 * [taylor]: Taking taylor expansion of 0 in phi2 2.681 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.681 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.681 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.681 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.681 * [taylor]: Taking taylor expansion of phi1 in phi2 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.682 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.682 * [taylor]: Taking taylor expansion of phi2 in phi2 2.682 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.682 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.682 * [taylor]: Taking taylor expansion of phi1 in phi1 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.682 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.682 * [taylor]: Taking taylor expansion of phi2 in phi1 2.682 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.682 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.682 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.682 * [taylor]: Taking taylor expansion of phi1 in phi1 2.683 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.683 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.683 * [taylor]: Taking taylor expansion of phi2 in phi1 2.683 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.683 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.683 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.683 * [taylor]: Taking taylor expansion of phi1 in phi2 2.683 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.683 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.683 * [taylor]: Taking taylor expansion of phi2 in phi2 2.685 * [taylor]: Taking taylor expansion of 0 in phi2 2.689 * [taylor]: Taking taylor expansion of 0 in phi2 2.695 * [taylor]: Taking taylor expansion of 0 in phi2 2.695 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.695 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.695 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.695 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.695 * [taylor]: Taking taylor expansion of -1 in phi2 2.695 * [taylor]: Taking taylor expansion of phi1 in phi2 2.695 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.695 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.695 * [taylor]: Taking taylor expansion of -1 in phi2 2.695 * [taylor]: Taking taylor expansion of phi2 in phi2 2.696 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.696 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.696 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.696 * [taylor]: Taking taylor expansion of -1 in phi1 2.696 * [taylor]: Taking taylor expansion of phi1 in phi1 2.696 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.696 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.696 * [taylor]: Taking taylor expansion of -1 in phi1 2.696 * [taylor]: Taking taylor expansion of phi2 in phi1 2.696 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.696 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.696 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.696 * [taylor]: Taking taylor expansion of -1 in phi1 2.696 * [taylor]: Taking taylor expansion of phi1 in phi1 2.697 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.697 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.697 * [taylor]: Taking taylor expansion of -1 in phi1 2.697 * [taylor]: Taking taylor expansion of phi2 in phi1 2.697 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.697 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.697 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.697 * [taylor]: Taking taylor expansion of -1 in phi2 2.697 * [taylor]: Taking taylor expansion of phi1 in phi2 2.697 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.697 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.697 * [taylor]: Taking taylor expansion of -1 in phi2 2.697 * [taylor]: Taking taylor expansion of phi2 in phi2 2.699 * [taylor]: Taking taylor expansion of 0 in phi2 2.703 * [taylor]: Taking taylor expansion of 0 in phi2 2.713 * [taylor]: Taking taylor expansion of 0 in phi2 2.713 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.713 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.713 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.714 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.714 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.714 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.715 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.715 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.716 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.716 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in phi2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in phi2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.718 * [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 2.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.718 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.719 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.719 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.720 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.721 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.722 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.722 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.724 * [taylor]: Taking taylor expansion of 0 in phi2 2.724 * [taylor]: Taking taylor expansion of 0 in lambda1 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [taylor]: Taking taylor expansion of 0 in lambda1 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.724 * [taylor]: Taking taylor expansion of 0 in lambda2 2.725 * [taylor]: Taking taylor expansion of 0 in phi2 2.725 * [taylor]: Taking taylor expansion of 0 in lambda1 2.725 * [taylor]: Taking taylor expansion of 0 in lambda2 2.725 * [taylor]: Taking taylor expansion of 0 in lambda1 2.725 * [taylor]: Taking taylor expansion of 0 in lambda2 2.727 * [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 2.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.729 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.730 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.731 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.732 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.733 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.735 * [taylor]: Taking taylor expansion of 0 in phi2 2.735 * [taylor]: Taking taylor expansion of 0 in lambda1 2.735 * [taylor]: Taking taylor expansion of 0 in lambda2 2.735 * [taylor]: Taking taylor expansion of 0 in lambda1 2.735 * [taylor]: Taking taylor expansion of 0 in lambda2 2.735 * [taylor]: Taking taylor expansion of 0 in lambda2 2.735 * [taylor]: Taking taylor expansion of 0 in phi2 2.735 * [taylor]: Taking taylor expansion of 0 in lambda1 2.735 * [taylor]: Taking taylor expansion of 0 in lambda2 2.735 * [taylor]: Taking taylor expansion of 0 in lambda1 2.735 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 2.737 * [approximate]: Taking taylor expansion of (pow (sin phi1) 3) in (phi1) around 0 2.737 * [taylor]: Taking taylor expansion of (pow (sin phi1) 3) in phi1 2.737 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.737 * [taylor]: Taking taylor expansion of phi1 in phi1 2.738 * [taylor]: Taking taylor expansion of (pow (sin phi1) 3) in phi1 2.738 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.738 * [taylor]: Taking taylor expansion of phi1 in phi1 2.754 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in (phi1) around 0 2.754 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi1 2.754 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.754 * [taylor]: Taking taylor expansion of phi1 in phi1 2.754 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi1 2.754 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.754 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.754 * [taylor]: Taking taylor expansion of phi1 in phi1 2.769 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in (phi1) around 0 2.769 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi1 2.769 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.769 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.769 * [taylor]: Taking taylor expansion of -1 in phi1 2.769 * [taylor]: Taking taylor expansion of phi1 in phi1 2.769 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi1 2.769 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.769 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.769 * [taylor]: Taking taylor expansion of -1 in phi1 2.769 * [taylor]: Taking taylor expansion of phi1 in phi1 2.779 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 2) 2.780 * [approximate]: Taking taylor expansion of (pow (sin phi2) 3) in (phi2) around 0 2.780 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.780 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.780 * [taylor]: Taking taylor expansion of phi2 in phi2 2.780 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.780 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.780 * [taylor]: Taking taylor expansion of phi2 in phi2 2.790 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in (phi2) around 0 2.790 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 2.790 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.790 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.790 * [taylor]: Taking taylor expansion of phi2 in phi2 2.791 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 2.791 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.791 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.791 * [taylor]: Taking taylor expansion of phi2 in phi2 2.800 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in (phi2) around 0 2.800 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 2.800 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.800 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.800 * [taylor]: Taking taylor expansion of -1 in phi2 2.800 * [taylor]: Taking taylor expansion of phi2 in phi2 2.800 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 2.800 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.800 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.800 * [taylor]: Taking taylor expansion of -1 in phi2 2.800 * [taylor]: Taking taylor expansion of phi2 in phi2 2.810 * * * [progress]: simplifying candidates 2.811 * [simplify]: Simplifying using # : (log (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (exp (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (* (cbrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (cbrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))))) (cbrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (* (* (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (sqrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (sqrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (/ PI 2) (asin (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (log (sin phi1)) 3) (* (log (sin phi1)) 3) (* 1 3) (pow (sin phi1) (* (cbrt 3) (cbrt 3))) (pow (sin phi1) (sqrt 3)) (pow (sin phi1) 1) (pow (* (cbrt (sin phi1)) (cbrt (sin phi1))) 3) (pow (cbrt (sin phi1)) 3) (pow (sqrt (sin phi1)) 3) (pow (sqrt (sin phi1)) 3) (pow 1 3) (pow (sin phi1) 3) (* (sin phi1) (sin phi1)) (log (pow (sin phi1) 3)) (exp (pow (sin phi1) 3)) (* (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi1) 3))) (cbrt (pow (sin phi1) 3)) (* (* (pow (sin phi1) 3) (pow (sin phi1) 3)) (pow (sin phi1) 3)) (pow (* (cbrt (sin phi1)) (cbrt (sin phi1))) 3) (pow (cbrt (sin phi1)) 3) (pow (sqrt (sin phi1)) 3) (pow (sqrt (sin phi1)) 3) (pow 1 3) (pow (sin phi1) 3) (* (sin phi1) (sin phi1)) (sqrt (pow (sin phi1) 3)) (sqrt (pow (sin phi1) 3)) (pow (sin phi1) (/ 3 2)) (pow (sin phi1) (/ 3 2)) (* (log (sin phi2)) 3) (* (log (sin phi2)) 3) (* 1 3) (pow (sin phi2) (* (cbrt 3) (cbrt 3))) (pow (sin phi2) (sqrt 3)) (pow (sin phi2) 1) (pow (* (cbrt (sin phi2)) (cbrt (sin phi2))) 3) (pow (cbrt (sin phi2)) 3) (pow (sqrt (sin phi2)) 3) (pow (sqrt (sin phi2)) 3) (pow 1 3) (pow (sin phi2) 3) (* (sin phi2) (sin phi2)) (log (pow (sin phi2) 3)) (exp (pow (sin phi2) 3)) (* (cbrt (pow (sin phi2) 3)) (cbrt (pow (sin phi2) 3))) (cbrt (pow (sin phi2) 3)) (* (* (pow (sin phi2) 3) (pow (sin phi2) 3)) (pow (sin phi2) 3)) (pow (* (cbrt (sin phi2)) (cbrt (sin phi2))) 3) (pow (cbrt (sin phi2)) 3) (pow (sqrt (sin phi2)) 3) (pow (sqrt (sin phi2)) 3) (pow 1 3) (pow (sin phi2) 3) (* (sin phi2) (sin phi2)) (sqrt (pow (sin phi2) 3)) (sqrt (pow (sin phi2) 3)) (pow (sin phi2) (/ 3 2)) (pow (sin phi2) (/ 3 2)) (* 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))))) (- (+ (pow phi1 3) (* 13/120 (pow phi1 7))) (* 1/2 (pow phi1 5))) (pow (sin phi1) 3) (pow (sin phi1) 3) (- (+ (pow phi2 3) (* 13/120 (pow phi2 7))) (* 1/2 (pow phi2 5))) (pow (sin phi2) 3) (pow (sin phi2) 3) 2.819 * * [simplify]: iteration 0 : 263 enodes (cost 521 ) 2.824 * * [simplify]: iteration 1 : 943 enodes (cost 455 ) 2.849 * * [simplify]: iteration 2 : 5002 enodes (cost 445 ) 2.852 * [simplify]: Simplified to: (log (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (exp (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (sin phi1) (sin phi2) (* (cbrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (cbrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))))) (cbrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (sqrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (sqrt (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3)))) (/ PI 2) (asin (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (* (pow (sin phi1) 3) (pow (sin phi2) 3))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (pow (sin phi1) 3)) (log (pow (sin phi1) 3)) 3 (pow (sin phi1) (* (cbrt 3) (cbrt 3))) (pow (sin phi1) (sqrt 3)) (sin phi1) (pow (sin phi1) 2) (sin phi1) (pow (sin phi1) 3/2) (pow (sin phi1) 3/2) 1 (pow (sin phi1) 3) (pow (sin phi1) 2) (log (pow (sin phi1) 3)) (exp (pow (sin phi1) 3)) (pow (sin phi1) 2) (sin phi1) (pow (pow (sin phi1) 3) 3) (pow (sin phi1) 2) (sin phi1) (pow (sin phi1) 3/2) (pow (sin phi1) 3/2) 1 (pow (sin phi1) 3) (pow (sin phi1) 2) (sqrt (pow (sin phi1) 3)) (sqrt (pow (sin phi1) 3)) (pow (sin phi1) 3/2) (pow (sin phi1) 3/2) (log (pow (sin phi2) 3)) (log (pow (sin phi2) 3)) 3 (pow (sin phi2) (* (cbrt 3) (cbrt 3))) (pow (sin phi2) (sqrt 3)) (sin phi2) (pow (sin phi2) 2) (sin phi2) (pow (sin phi2) 3/2) (pow (sin phi2) 3/2) 1 (pow (sin phi2) 3) (pow (sin phi2) 2) (log (pow (sin phi2) 3)) (exp (pow (sin phi2) 3)) (pow (sin phi2) 2) (sin phi2) (pow (pow (sin phi2) 3) 3) (pow (sin phi2) 2) (sin phi2) (pow (sin phi2) 3/2) (pow (sin phi2) 3/2) 1 (pow (sin phi2) 3) (pow (sin phi2) 2) (sqrt (pow (sin phi2) 3)) (sqrt (pow (sin phi2) 3)) (pow (sin phi2) 3/2) (pow (sin phi2) 3/2) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (+ (pow phi1 3) (* 13/120 (pow phi1 7))) (* 1/2 (pow phi1 5))) (pow (sin phi1) 3) (pow (sin phi1) 3) (- (+ (pow phi2 3) (* 13/120 (pow phi2 7))) (* 1/2 (pow phi2 5))) (pow (sin phi2) 3) (pow (sin phi2) 3) 2.852 * * * [progress]: adding candidates to table 3.197 * [progress]: [Phase 3 of 3] Extracting. 3.197 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 3.214 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.214 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # #) 3.323 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # #) 3.432 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # #) 3.541 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # #) 3.649 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # #) 3.757 * * * [regime]: Found split indices: #