11.861 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.267 * * * [progress]: [2/2] Setting up program. 0.272 * [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 : 27 enodes (cost 12 ) 0.276 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.277 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.279 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.280 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.280 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.281 * * [progress]: iteration 1 / 4 0.281 * * * [progress]: picking best candidate 0.285 * * * * [pick]: Picked # 0.285 * * * [progress]: localizing error 0.318 * * * [progress]: generating rewritten candidates 0.318 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.326 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.327 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.330 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.336 * * * [progress]: generating series expansions 0.336 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.336 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.336 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.336 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.336 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.337 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.337 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.337 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.337 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.337 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.337 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.337 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.338 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.338 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.338 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.340 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.340 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.340 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.340 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.344 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.344 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.344 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.344 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.344 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.346 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.346 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.346 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.346 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.346 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.347 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.347 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.347 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.348 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.348 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.348 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.348 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.349 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.349 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.349 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.349 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [taylor]: Taking taylor expansion of 0 in lambda2 0.350 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.350 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.350 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.350 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.350 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.351 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.351 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.351 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.351 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.351 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.351 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.351 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.351 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * [taylor]: Taking taylor expansion of 0 in lambda2 0.354 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.354 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.354 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.355 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.356 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in phi2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.356 * [taylor]: Taking taylor expansion of 0 in lambda1 0.356 * [taylor]: Taking taylor expansion of 0 in lambda2 0.357 * [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 0.357 * [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 0.357 * [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 0.357 * [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 0.358 * [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 0.358 * [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 0.358 * [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 0.359 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))))) in lambda1 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 lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in phi2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in phi2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.360 * [taylor]: Taking taylor expansion of 0 in lambda1 0.360 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [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 0.361 * [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 0.361 * [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 0.361 * [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 0.361 * [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 0.362 * [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 0.362 * [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 0.362 * [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 0.363 * [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 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in phi2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.363 * [taylor]: Taking taylor expansion of 0 in lambda1 0.363 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.364 * [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 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.364 * [taylor]: Taking taylor expansion of R in R 0.364 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.364 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.365 * [taylor]: Taking taylor expansion of R in lambda2 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.365 * [taylor]: Taking taylor expansion of R in lambda1 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.365 * [taylor]: Taking taylor expansion of R in phi2 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.365 * [taylor]: Taking taylor expansion of R in phi1 0.365 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.365 * [taylor]: Taking taylor expansion of R in phi1 0.366 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.366 * [taylor]: Taking taylor expansion of R in phi2 0.366 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.366 * [taylor]: Taking taylor expansion of R in lambda1 0.367 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.367 * [taylor]: Taking taylor expansion of R in lambda2 0.367 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.367 * [taylor]: Taking taylor expansion of R in R 0.368 * [taylor]: Taking taylor expansion of 0 in phi2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda1 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.368 * [taylor]: Taking taylor expansion of 0 in R 0.370 * [taylor]: Taking taylor expansion of 0 in phi2 0.370 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [taylor]: Taking taylor expansion of 0 in R 0.373 * [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 0.373 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of R in R 0.373 * [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 0.373 * [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 0.373 * [taylor]: Taking taylor expansion of R in lambda2 0.374 * [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 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of R in lambda1 0.374 * [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 0.374 * [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 0.375 * [taylor]: Taking taylor expansion of R in phi2 0.375 * [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 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of R in phi1 0.376 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of R in phi1 0.376 * [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 0.376 * [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 0.376 * [taylor]: Taking taylor expansion of R in phi2 0.377 * [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 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of R in lambda1 0.377 * [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 0.377 * [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 0.378 * [taylor]: Taking taylor expansion of R in lambda2 0.378 * [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 0.378 * [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 0.378 * [taylor]: Taking taylor expansion of R in R 0.379 * [taylor]: Taking taylor expansion of 0 in phi2 0.379 * [taylor]: Taking taylor expansion of 0 in lambda1 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 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 0.382 * [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 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of -1 in R 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of R in R 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of -1 in lambda2 0.387 * [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 0.387 * [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 0.388 * [taylor]: Taking taylor expansion of R in lambda2 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of -1 in lambda1 0.388 * [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 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of R in lambda1 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of -1 in phi2 0.389 * [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 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of R in phi2 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of -1 in phi1 0.389 * [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 0.389 * [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 0.390 * [taylor]: Taking taylor expansion of R in phi1 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of -1 in phi1 0.390 * [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 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of R in phi1 0.391 * [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 0.391 * [taylor]: Taking taylor expansion of -1 in phi2 0.391 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.391 * [taylor]: Taking taylor expansion of R in phi2 0.396 * [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 0.397 * [taylor]: Taking taylor expansion of -1 in lambda1 0.397 * [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 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of R in lambda1 0.397 * [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 0.397 * [taylor]: Taking taylor expansion of -1 in lambda2 0.398 * [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 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of R in lambda2 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of -1 in R 0.398 * [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 0.398 * [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 0.399 * [taylor]: Taking taylor expansion of R in R 0.401 * [taylor]: Taking taylor expansion of 0 in phi2 0.401 * [taylor]: Taking taylor expansion of 0 in lambda1 0.401 * [taylor]: Taking taylor expansion of 0 in lambda2 0.401 * [taylor]: Taking taylor expansion of 0 in R 0.402 * [taylor]: Taking taylor expansion of 0 in lambda1 0.402 * [taylor]: Taking taylor expansion of 0 in lambda2 0.402 * [taylor]: Taking taylor expansion of 0 in R 0.403 * [taylor]: Taking taylor expansion of 0 in lambda2 0.403 * [taylor]: Taking taylor expansion of 0 in R 0.404 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [taylor]: Taking taylor expansion of 0 in phi2 0.407 * [taylor]: Taking taylor expansion of 0 in lambda1 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [taylor]: Taking taylor expansion of 0 in lambda1 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in lambda1 0.408 * [taylor]: Taking taylor expansion of 0 in lambda2 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in lambda2 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in lambda2 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.409 * [taylor]: Taking taylor expansion of 0 in lambda2 0.409 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.414 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.414 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.414 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.414 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.414 * [taylor]: Taking taylor expansion of phi1 in phi2 0.414 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.414 * [taylor]: Taking taylor expansion of phi2 in phi2 0.414 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.414 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.414 * [taylor]: Taking taylor expansion of phi1 in phi1 0.414 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.414 * [taylor]: Taking taylor expansion of phi2 in phi1 0.414 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.414 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.414 * [taylor]: Taking taylor expansion of phi1 in phi1 0.414 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.414 * [taylor]: Taking taylor expansion of phi2 in phi1 0.415 * [taylor]: Taking taylor expansion of 0 in phi2 0.417 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.417 * [taylor]: Taking taylor expansion of phi2 in phi2 0.420 * [taylor]: Taking taylor expansion of 0 in phi2 0.424 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.424 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.424 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.424 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.424 * [taylor]: Taking taylor expansion of phi2 in phi2 0.430 * [taylor]: Taking taylor expansion of 0 in phi2 0.430 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.430 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.430 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.430 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.430 * [taylor]: Taking taylor expansion of phi1 in phi2 0.430 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.431 * [taylor]: Taking taylor expansion of phi2 in phi2 0.431 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.431 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.431 * [taylor]: Taking taylor expansion of phi1 in phi1 0.431 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.431 * [taylor]: Taking taylor expansion of phi2 in phi1 0.431 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.431 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.431 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.431 * [taylor]: Taking taylor expansion of phi1 in phi1 0.432 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.432 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.432 * [taylor]: Taking taylor expansion of phi2 in phi1 0.432 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.432 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.432 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.432 * [taylor]: Taking taylor expansion of phi1 in phi2 0.432 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.432 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.432 * [taylor]: Taking taylor expansion of phi2 in phi2 0.435 * [taylor]: Taking taylor expansion of 0 in phi2 0.439 * [taylor]: Taking taylor expansion of 0 in phi2 0.444 * [taylor]: Taking taylor expansion of 0 in phi2 0.444 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.444 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.444 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.444 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.444 * [taylor]: Taking taylor expansion of -1 in phi2 0.444 * [taylor]: Taking taylor expansion of phi1 in phi2 0.445 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.445 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.445 * [taylor]: Taking taylor expansion of -1 in phi2 0.445 * [taylor]: Taking taylor expansion of phi2 in phi2 0.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.445 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.445 * [taylor]: Taking taylor expansion of -1 in phi1 0.445 * [taylor]: Taking taylor expansion of phi1 in phi1 0.445 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.445 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.445 * [taylor]: Taking taylor expansion of -1 in phi1 0.445 * [taylor]: Taking taylor expansion of phi2 in phi1 0.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.446 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.446 * [taylor]: Taking taylor expansion of -1 in phi1 0.446 * [taylor]: Taking taylor expansion of phi1 in phi1 0.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.446 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.446 * [taylor]: Taking taylor expansion of -1 in phi1 0.446 * [taylor]: Taking taylor expansion of phi2 in phi1 0.446 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.446 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.446 * [taylor]: Taking taylor expansion of -1 in phi2 0.446 * [taylor]: Taking taylor expansion of phi1 in phi2 0.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.446 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.446 * [taylor]: Taking taylor expansion of -1 in phi2 0.446 * [taylor]: Taking taylor expansion of phi2 in phi2 0.449 * [taylor]: Taking taylor expansion of 0 in phi2 0.453 * [taylor]: Taking taylor expansion of 0 in phi2 0.458 * [taylor]: Taking taylor expansion of 0 in phi2 0.458 * * * [progress]: simplifying candidates 0.460 * [simplify]: Simplifying using # : (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) 0.465 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.470 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.483 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.517 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.521 * [simplify]: Simplified to: (expm1 (cos (- lambda1 lambda2))) (log1p (cos (- lambda1 lambda2))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))) (* (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))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (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)))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log1p (* (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) (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (fma lambda1 (- lambda2 (* 1/2 lambda1)) 1) (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)) 0.522 * * * [progress]: adding candidates to table 0.813 * * [progress]: iteration 2 / 4 0.813 * * * [progress]: picking best candidate 0.878 * * * * [pick]: Picked # 0.878 * * * [progress]: localizing error 0.916 * * * [progress]: generating rewritten candidates 0.916 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.917 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.920 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.924 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.930 * * * [progress]: generating series expansions 0.930 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.931 * [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 0.931 * [taylor]: Taking 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 0.931 * [taylor]: Taking 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 0.932 * [taylor]: Taking 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 0.932 * [taylor]: Taking 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 0.932 * [taylor]: Taking 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 0.933 * [taylor]: Taking 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 0.933 * [taylor]: Taking 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 0.934 * [taylor]: Taking 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 0.934 * [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 lambda1 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 0.935 * [taylor]: Taking taylor expansion of 0 in lambda2 0.935 * [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 0.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.936 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.937 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.939 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.940 * [taylor]: Taking taylor expansion of 0 in phi2 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in phi2 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.940 * [taylor]: Taking taylor expansion of 0 in lambda1 0.940 * [taylor]: Taking taylor expansion of 0 in lambda2 0.941 * [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 0.941 * [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 (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.942 * [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 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 phi1 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 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 phi2 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 lambda1 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 lambda2 0.946 * [taylor]: Taking taylor expansion of 0 in phi2 0.946 * [taylor]: Taking taylor expansion of 0 in lambda1 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.946 * [taylor]: Taking taylor expansion of 0 in lambda1 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.946 * [taylor]: Taking taylor expansion of 0 in phi2 0.946 * [taylor]: Taking taylor expansion of 0 in lambda1 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.946 * [taylor]: Taking taylor expansion of 0 in lambda1 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.947 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.947 * [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 0.947 * [taylor]: Taking 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 0.947 * [taylor]: Taking 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 0.948 * [taylor]: Taking taylor expansion of R in R 0.948 * [taylor]: Taking 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 0.948 * [taylor]: Taking 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 0.948 * [taylor]: Taking taylor expansion of R in lambda2 0.948 * [taylor]: Taking 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 0.948 * [taylor]: Taking 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 0.948 * [taylor]: Taking taylor expansion of R in lambda1 0.948 * [taylor]: Taking 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 0.948 * [taylor]: Taking 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 0.949 * [taylor]: Taking taylor expansion of R in phi2 0.949 * [taylor]: Taking 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 0.949 * [taylor]: Taking 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 0.949 * [taylor]: Taking taylor expansion of R in phi1 0.949 * [taylor]: Taking 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 0.949 * [taylor]: Taking 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 0.950 * [taylor]: Taking taylor expansion of R in phi1 0.950 * [taylor]: Taking 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 0.950 * [taylor]: Taking 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 0.950 * [taylor]: Taking taylor expansion of R in phi2 0.951 * [taylor]: Taking 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 0.951 * [taylor]: Taking 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 0.951 * [taylor]: Taking taylor expansion of R in lambda1 0.952 * [taylor]: Taking 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 0.952 * [taylor]: Taking 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 0.952 * [taylor]: Taking taylor expansion of R in lambda2 0.952 * [taylor]: Taking 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 0.952 * [taylor]: Taking 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 0.953 * [taylor]: Taking taylor expansion of R in R 0.954 * [taylor]: Taking taylor expansion of 0 in phi2 0.954 * [taylor]: Taking taylor expansion of 0 in lambda1 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in lambda1 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.957 * [taylor]: Taking taylor expansion of 0 in phi2 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 0.957 * [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 lambda1 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.958 * [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 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.958 * [taylor]: Taking taylor expansion of 0 in R 0.959 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [taylor]: Taking taylor expansion of 0 in R 0.960 * [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 0.960 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.960 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.961 * [taylor]: Taking taylor expansion of R in R 0.961 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.962 * [taylor]: Taking taylor expansion of R in lambda2 0.962 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.963 * [taylor]: Taking taylor expansion of R in lambda1 0.963 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.964 * [taylor]: Taking taylor expansion of R in phi2 0.964 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.965 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.965 * [taylor]: Taking taylor expansion of R in phi1 0.966 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.966 * [taylor]: Taking taylor expansion of R in phi1 0.967 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.967 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.967 * [taylor]: Taking taylor expansion of R in phi2 0.968 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.968 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.968 * [taylor]: Taking taylor expansion of R in lambda1 0.969 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.969 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.969 * [taylor]: Taking taylor expansion of R in lambda2 0.970 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 0.970 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 0.970 * [taylor]: Taking taylor expansion of R in R 0.972 * [taylor]: Taking taylor expansion of 0 in phi2 0.972 * [taylor]: Taking taylor expansion of 0 in lambda1 0.972 * [taylor]: Taking taylor expansion of 0 in lambda2 0.972 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda1 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.976 * [taylor]: Taking taylor expansion of 0 in phi2 0.976 * [taylor]: Taking taylor expansion of 0 in lambda1 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [taylor]: Taking taylor expansion of 0 in R 0.976 * [taylor]: Taking taylor expansion of 0 in lambda1 0.976 * [taylor]: Taking taylor expansion of 0 in lambda2 0.976 * [taylor]: Taking taylor expansion of 0 in R 0.977 * [taylor]: Taking taylor expansion of 0 in lambda1 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [taylor]: Taking taylor expansion of 0 in R 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [taylor]: Taking taylor expansion of 0 in R 0.977 * [taylor]: Taking taylor expansion of 0 in lambda2 0.977 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [taylor]: Taking taylor expansion of 0 in lambda2 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [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 0.982 * [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 0.982 * [taylor]: Taking taylor expansion of -1 in R 0.982 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.982 * [taylor]: Taking taylor expansion of R in R 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of -1 in lambda2 0.983 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.983 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.983 * [taylor]: Taking taylor expansion of R in lambda2 0.984 * [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 0.984 * [taylor]: Taking taylor expansion of -1 in lambda1 0.984 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.988 * [taylor]: Taking taylor expansion of R in lambda1 0.989 * [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 0.989 * [taylor]: Taking taylor expansion of -1 in phi2 0.989 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.989 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.990 * [taylor]: Taking taylor expansion of R in phi2 0.990 * [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 0.990 * [taylor]: Taking taylor expansion of -1 in phi1 0.990 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.990 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.991 * [taylor]: Taking taylor expansion of R in phi1 0.991 * [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 0.991 * [taylor]: Taking taylor expansion of -1 in phi1 0.991 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.992 * [taylor]: Taking taylor expansion of R in phi1 0.993 * [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 0.993 * [taylor]: Taking taylor expansion of -1 in phi2 0.993 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.993 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.994 * [taylor]: Taking taylor expansion of R in phi2 0.995 * [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 0.995 * [taylor]: Taking taylor expansion of -1 in lambda1 0.995 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.995 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.995 * [taylor]: Taking taylor expansion of R in lambda1 0.996 * [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 0.996 * [taylor]: Taking taylor expansion of -1 in lambda2 0.996 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.996 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.997 * [taylor]: Taking taylor expansion of R in lambda2 0.998 * [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 0.998 * [taylor]: Taking taylor expansion of -1 in R 0.998 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 0.998 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 0.998 * [taylor]: Taking taylor expansion of R in R 1.002 * [taylor]: Taking taylor expansion of 0 in phi2 1.002 * [taylor]: Taking taylor expansion of 0 in lambda1 1.002 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.004 * [taylor]: Taking taylor expansion of 0 in lambda1 1.004 * [taylor]: Taking taylor expansion of 0 in lambda2 1.004 * [taylor]: Taking taylor expansion of 0 in R 1.005 * [taylor]: Taking taylor expansion of 0 in lambda2 1.005 * [taylor]: Taking taylor expansion of 0 in R 1.007 * [taylor]: Taking taylor expansion of 0 in R 1.010 * [taylor]: Taking taylor expansion of 0 in phi2 1.010 * [taylor]: Taking taylor expansion of 0 in lambda1 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.011 * [taylor]: Taking taylor expansion of 0 in lambda1 1.011 * [taylor]: Taking taylor expansion of 0 in lambda2 1.011 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [taylor]: Taking taylor expansion of 0 in lambda1 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.012 * [taylor]: Taking taylor expansion of 0 in R 1.012 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in R 1.013 * [taylor]: Taking taylor expansion of 0 in lambda2 1.013 * [taylor]: Taking taylor expansion of 0 in R 1.014 * [taylor]: Taking taylor expansion of 0 in lambda2 1.014 * [taylor]: Taking taylor expansion of 0 in R 1.014 * [taylor]: Taking taylor expansion of 0 in R 1.014 * [taylor]: Taking taylor expansion of 0 in R 1.014 * [taylor]: Taking taylor expansion of 0 in R 1.016 * [taylor]: Taking taylor expansion of 0 in R 1.020 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.020 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.020 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.020 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.020 * [taylor]: Taking taylor expansion of phi1 in phi2 1.020 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.020 * [taylor]: Taking taylor expansion of phi2 in phi2 1.020 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.020 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.020 * [taylor]: Taking taylor expansion of phi1 in phi1 1.020 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.020 * [taylor]: Taking taylor expansion of phi2 in phi1 1.020 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.020 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.020 * [taylor]: Taking taylor expansion of phi1 in phi1 1.020 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.020 * [taylor]: Taking taylor expansion of phi2 in phi1 1.021 * [taylor]: Taking taylor expansion of 0 in phi2 1.023 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.023 * [taylor]: Taking taylor expansion of phi2 in phi2 1.026 * [taylor]: Taking taylor expansion of 0 in phi2 1.030 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.030 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.030 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.030 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.030 * [taylor]: Taking taylor expansion of phi2 in phi2 1.036 * [taylor]: Taking taylor expansion of 0 in phi2 1.037 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.037 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.037 * [taylor]: Taking taylor expansion of phi1 in phi2 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.037 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.037 * [taylor]: Taking taylor expansion of phi2 in phi2 1.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.037 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.037 * [taylor]: Taking taylor expansion of phi1 in phi1 1.037 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.037 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.037 * [taylor]: Taking taylor expansion of phi2 in phi1 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.038 * [taylor]: Taking taylor expansion of phi1 in phi1 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.038 * [taylor]: Taking taylor expansion of phi2 in phi1 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.038 * [taylor]: Taking taylor expansion of phi1 in phi2 1.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.038 * [taylor]: Taking taylor expansion of phi2 in phi2 1.041 * [taylor]: Taking taylor expansion of 0 in phi2 1.045 * [taylor]: Taking taylor expansion of 0 in phi2 1.050 * [taylor]: Taking taylor expansion of 0 in phi2 1.050 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.050 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.050 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.050 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.050 * [taylor]: Taking taylor expansion of -1 in phi2 1.050 * [taylor]: Taking taylor expansion of phi1 in phi2 1.050 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.050 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.051 * [taylor]: Taking taylor expansion of -1 in phi2 1.051 * [taylor]: Taking taylor expansion of phi2 in phi2 1.051 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.051 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.051 * [taylor]: Taking taylor expansion of -1 in phi1 1.051 * [taylor]: Taking taylor expansion of phi1 in phi1 1.051 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.051 * [taylor]: Taking taylor expansion of -1 in phi1 1.051 * [taylor]: Taking taylor expansion of phi2 in phi1 1.051 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.051 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.051 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.051 * [taylor]: Taking taylor expansion of -1 in phi1 1.052 * [taylor]: Taking taylor expansion of phi1 in phi1 1.052 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.052 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.052 * [taylor]: Taking taylor expansion of -1 in phi1 1.052 * [taylor]: Taking taylor expansion of phi2 in phi1 1.052 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.052 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.052 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.052 * [taylor]: Taking taylor expansion of -1 in phi2 1.052 * [taylor]: Taking taylor expansion of phi1 in phi2 1.052 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.052 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.052 * [taylor]: Taking taylor expansion of -1 in phi2 1.052 * [taylor]: Taking taylor expansion of phi2 in phi2 1.055 * [taylor]: Taking taylor expansion of 0 in phi2 1.059 * [taylor]: Taking taylor expansion of 0 in phi2 1.064 * [taylor]: Taking taylor expansion of 0 in phi2 1.065 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.065 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.065 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.065 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.065 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.065 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.065 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.065 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.065 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.065 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.065 * [taylor]: Taking taylor expansion of 0 in lambda2 1.067 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.067 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.070 * [taylor]: Taking taylor expansion of 0 in lambda2 1.080 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.080 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.080 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.080 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.080 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.086 * [taylor]: Taking taylor expansion of 0 in lambda2 1.086 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.086 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.086 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.086 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.086 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.086 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.087 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.087 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.087 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.087 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.087 * [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 (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.088 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.088 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.088 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.088 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.090 * [taylor]: Taking taylor expansion of 0 in lambda2 1.094 * [taylor]: Taking taylor expansion of 0 in lambda2 1.100 * [taylor]: Taking taylor expansion of 0 in lambda2 1.100 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.100 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.100 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.100 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.100 * [taylor]: Taking taylor expansion of -1 in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.100 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.100 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.100 * [taylor]: Taking taylor expansion of -1 in lambda2 1.100 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.101 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.101 * [taylor]: Taking taylor expansion of -1 in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.101 * [taylor]: Taking taylor expansion of -1 in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.101 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.101 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.101 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.101 * [taylor]: Taking taylor expansion of -1 in lambda1 1.101 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.102 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.102 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.102 * [taylor]: Taking taylor expansion of -1 in lambda1 1.102 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.102 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.102 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.102 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.102 * [taylor]: Taking taylor expansion of -1 in lambda2 1.102 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.102 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.102 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.102 * [taylor]: Taking taylor expansion of -1 in lambda2 1.102 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.105 * [taylor]: Taking taylor expansion of 0 in lambda2 1.109 * [taylor]: Taking taylor expansion of 0 in lambda2 1.114 * [taylor]: Taking taylor expansion of 0 in lambda2 1.115 * * * [progress]: simplifying candidates 1.116 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (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))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (+ (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (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)) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (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)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.121 * * [simplify]: iteration 0 : 274 enodes (cost 1015 ) 1.126 * * [simplify]: iteration 1 : 872 enodes (cost 860 ) 1.140 * * [simplify]: iteration 2 : 2115 enodes (cost 860 ) 1.163 * * [simplify]: iteration 3 : 3356 enodes (cost 860 ) 1.193 * * [simplify]: iteration 4 : 5001 enodes (cost 860 ) 1.196 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (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))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log1p (* (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) (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) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (expm1 (* (sin lambda1) (sin lambda2))) (log1p (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin 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)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.197 * * * [progress]: adding candidates to table 1.578 * * [progress]: iteration 3 / 4 1.579 * * * [progress]: picking best candidate 1.668 * * * * [pick]: Picked # 1.668 * * * [progress]: localizing error 1.707 * * * [progress]: generating rewritten candidates 1.707 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.708 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.710 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.711 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.719 * * * [progress]: generating series expansions 1.719 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.720 * [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 1.720 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.721 * [taylor]: Taking 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 1.721 * [taylor]: Taking 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 1.721 * [taylor]: Taking 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 1.722 * [taylor]: Taking 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 1.722 * [taylor]: Taking 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 1.723 * [taylor]: Taking 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 1.723 * [taylor]: Taking 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 1.724 * [taylor]: Taking taylor expansion of 0 in phi2 1.724 * [taylor]: Taking taylor expansion of 0 in lambda1 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.724 * [taylor]: Taking taylor expansion of 0 in lambda1 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.724 * [taylor]: Taking taylor expansion of 0 in phi2 1.724 * [taylor]: Taking taylor expansion of 0 in lambda1 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.724 * [taylor]: Taking taylor expansion of 0 in lambda1 1.724 * [taylor]: Taking taylor expansion of 0 in lambda2 1.725 * [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 1.725 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.726 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.727 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.728 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in phi2 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in phi2 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.730 * [taylor]: Taking taylor expansion of 0 in lambda1 1.730 * [taylor]: Taking taylor expansion of 0 in lambda2 1.731 * [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 1.731 * [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 lambda2 1.731 * [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 lambda1 1.732 * [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 phi2 1.732 * [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 phi1 1.733 * [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 phi1 1.733 * [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 phi2 1.734 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.734 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.736 * [taylor]: Taking taylor expansion of 0 in phi2 1.736 * [taylor]: Taking taylor expansion of 0 in lambda1 1.736 * [taylor]: Taking taylor expansion of 0 in lambda2 1.736 * [taylor]: Taking taylor expansion of 0 in lambda1 1.736 * [taylor]: Taking taylor expansion of 0 in lambda2 1.736 * [taylor]: Taking taylor expansion of 0 in lambda2 1.736 * [taylor]: Taking taylor expansion of 0 in phi2 1.736 * [taylor]: Taking taylor expansion of 0 in lambda1 1.736 * [taylor]: Taking taylor expansion of 0 in lambda2 1.736 * [taylor]: Taking taylor expansion of 0 in lambda1 1.736 * [taylor]: Taking taylor expansion of 0 in lambda2 1.736 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.737 * [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 1.737 * [taylor]: Taking 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 1.737 * [taylor]: Taking 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 1.738 * [taylor]: Taking 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 1.738 * [taylor]: Taking 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 1.738 * [taylor]: Taking 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 1.739 * [taylor]: Taking 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 1.739 * [taylor]: Taking 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 1.740 * [taylor]: Taking 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 1.740 * [taylor]: Taking taylor expansion of 0 in phi2 1.740 * [taylor]: Taking taylor expansion of 0 in lambda1 1.740 * [taylor]: Taking taylor expansion of 0 in lambda2 1.740 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in phi2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.741 * [taylor]: Taking taylor expansion of 0 in lambda1 1.741 * [taylor]: Taking taylor expansion of 0 in lambda2 1.742 * [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 1.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.742 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.743 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.743 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.744 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.745 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.746 * [taylor]: Taking taylor expansion of 0 in phi2 1.746 * [taylor]: Taking taylor expansion of 0 in lambda1 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [taylor]: Taking taylor expansion of 0 in lambda1 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [taylor]: Taking taylor expansion of 0 in phi2 1.746 * [taylor]: Taking taylor expansion of 0 in lambda1 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.746 * [taylor]: Taking taylor expansion of 0 in lambda1 1.746 * [taylor]: Taking taylor expansion of 0 in lambda2 1.748 * [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 1.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.748 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.749 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.749 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.750 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.751 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.751 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.752 * [taylor]: Taking taylor expansion of 0 in phi2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda1 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda1 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.752 * [taylor]: Taking taylor expansion of 0 in phi2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda1 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.752 * [taylor]: Taking taylor expansion of 0 in lambda1 1.752 * [taylor]: Taking taylor expansion of 0 in lambda2 1.753 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 1.754 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.754 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.754 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.754 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.754 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.755 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.755 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.759 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.759 * [taylor]: Taking 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 1.760 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi1 1.760 * [taylor]: Taking 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 1.761 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in phi2 1.761 * [taylor]: Taking 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 1.761 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda1 1.761 * [taylor]: Taking 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 1.762 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))))))) in lambda2 1.762 * [taylor]: Taking 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 1.765 * [taylor]: Taking taylor expansion of 0 in phi2 1.765 * [taylor]: Taking taylor expansion of 0 in lambda1 1.765 * [taylor]: Taking taylor expansion of 0 in lambda2 1.766 * [taylor]: Taking taylor expansion of 0 in lambda1 1.766 * [taylor]: Taking taylor expansion of 0 in lambda2 1.767 * [taylor]: Taking taylor expansion of 0 in lambda2 1.769 * [taylor]: Taking taylor expansion of 0 in phi2 1.769 * [taylor]: Taking taylor expansion of 0 in lambda1 1.769 * [taylor]: Taking taylor expansion of 0 in lambda2 1.769 * [taylor]: Taking taylor expansion of 0 in lambda1 1.769 * [taylor]: Taking taylor expansion of 0 in lambda2 1.770 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.770 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.770 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.771 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.771 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.772 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.772 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.773 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.773 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.774 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi1 1.774 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.775 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in phi2 1.775 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.776 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda1 1.776 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.777 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))))) in lambda2 1.777 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.780 * [taylor]: Taking taylor expansion of 0 in phi2 1.780 * [taylor]: Taking taylor expansion of 0 in lambda1 1.780 * [taylor]: Taking taylor expansion of 0 in lambda2 1.781 * [taylor]: Taking taylor expansion of 0 in lambda1 1.781 * [taylor]: Taking taylor expansion of 0 in lambda2 1.782 * [taylor]: Taking taylor expansion of 0 in lambda2 1.784 * [taylor]: Taking taylor expansion of 0 in phi2 1.784 * [taylor]: Taking taylor expansion of 0 in lambda1 1.784 * [taylor]: Taking taylor expansion of 0 in lambda2 1.784 * [taylor]: Taking taylor expansion of 0 in lambda1 1.784 * [taylor]: Taking taylor expansion of 0 in lambda2 1.785 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.785 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.785 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.786 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.786 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.787 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.787 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.788 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.788 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.789 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi1 1.789 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.790 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in phi2 1.790 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.791 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda1 1.791 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.792 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))))) in lambda2 1.792 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.795 * [taylor]: Taking taylor expansion of 0 in phi2 1.795 * [taylor]: Taking taylor expansion of 0 in lambda1 1.795 * [taylor]: Taking taylor expansion of 0 in lambda2 1.797 * [taylor]: Taking taylor expansion of 0 in lambda1 1.797 * [taylor]: Taking taylor expansion of 0 in lambda2 1.798 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in phi2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.801 * * * * [progress]: [ 4 / 4 ] generating series at (2) 1.801 * [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 1.801 * [taylor]: Taking 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 1.801 * [taylor]: Taking 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 1.802 * [taylor]: Taking taylor expansion of R in R 1.802 * [taylor]: Taking 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 1.802 * [taylor]: Taking 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 1.802 * [taylor]: Taking taylor expansion of R in lambda2 1.802 * [taylor]: Taking 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 1.802 * [taylor]: Taking 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 1.803 * [taylor]: Taking taylor expansion of R in lambda1 1.803 * [taylor]: Taking 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 1.803 * [taylor]: Taking 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 1.803 * [taylor]: Taking taylor expansion of R in phi2 1.803 * [taylor]: Taking 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 1.803 * [taylor]: Taking 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 1.803 * [taylor]: Taking taylor expansion of R in phi1 1.803 * [taylor]: Taking 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 1.804 * [taylor]: Taking 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 1.804 * [taylor]: Taking taylor expansion of R in phi1 1.804 * [taylor]: Taking 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 1.804 * [taylor]: Taking 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 1.805 * [taylor]: Taking taylor expansion of R in phi2 1.805 * [taylor]: Taking 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 1.805 * [taylor]: Taking 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 1.805 * [taylor]: Taking taylor expansion of R in lambda1 1.806 * [taylor]: Taking 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 1.806 * [taylor]: Taking 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 1.806 * [taylor]: Taking taylor expansion of R in lambda2 1.807 * [taylor]: Taking 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 1.807 * [taylor]: Taking 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 1.807 * [taylor]: Taking taylor expansion of R in R 1.808 * [taylor]: Taking taylor expansion of 0 in phi2 1.808 * [taylor]: Taking taylor expansion of 0 in lambda1 1.808 * [taylor]: Taking taylor expansion of 0 in lambda2 1.808 * [taylor]: Taking taylor expansion of 0 in R 1.808 * [taylor]: Taking taylor expansion of 0 in lambda1 1.808 * [taylor]: Taking taylor expansion of 0 in lambda2 1.808 * [taylor]: Taking taylor expansion of 0 in R 1.809 * [taylor]: Taking taylor expansion of 0 in lambda2 1.809 * [taylor]: Taking taylor expansion of 0 in R 1.809 * [taylor]: Taking taylor expansion of 0 in R 1.811 * [taylor]: Taking taylor expansion of 0 in phi2 1.811 * [taylor]: Taking taylor expansion of 0 in lambda1 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [taylor]: Taking taylor expansion of 0 in R 1.811 * [taylor]: Taking taylor expansion of 0 in lambda1 1.811 * [taylor]: Taking taylor expansion of 0 in lambda2 1.811 * [taylor]: Taking taylor expansion of 0 in R 1.812 * [taylor]: Taking taylor expansion of 0 in lambda1 1.812 * [taylor]: Taking taylor expansion of 0 in lambda2 1.812 * [taylor]: Taking taylor expansion of 0 in R 1.812 * [taylor]: Taking taylor expansion of 0 in lambda2 1.812 * [taylor]: Taking taylor expansion of 0 in R 1.812 * [taylor]: Taking taylor expansion of 0 in lambda2 1.812 * [taylor]: Taking taylor expansion of 0 in R 1.813 * [taylor]: Taking taylor expansion of 0 in lambda2 1.813 * [taylor]: Taking taylor expansion of 0 in R 1.814 * [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 1.815 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.815 * [taylor]: Taking taylor expansion of R in R 1.816 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.816 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.816 * [taylor]: Taking taylor expansion of R in lambda2 1.817 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.817 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.817 * [taylor]: Taking taylor expansion of R in lambda1 1.818 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.818 * [taylor]: Taking taylor expansion of R in phi2 1.819 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.819 * [taylor]: Taking taylor expansion of R in phi1 1.820 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.820 * [taylor]: Taking taylor expansion of R in phi1 1.821 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.821 * [taylor]: Taking taylor expansion of R in phi2 1.822 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.822 * [taylor]: Taking taylor expansion of R in lambda1 1.823 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.823 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.824 * [taylor]: Taking taylor expansion of R in lambda2 1.824 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (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 1.824 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 1.825 * [taylor]: Taking taylor expansion of R in R 1.826 * [taylor]: Taking taylor expansion of 0 in phi2 1.826 * [taylor]: Taking taylor expansion of 0 in lambda1 1.826 * [taylor]: Taking taylor expansion of 0 in lambda2 1.826 * [taylor]: Taking taylor expansion of 0 in R 1.827 * [taylor]: Taking taylor expansion of 0 in lambda1 1.827 * [taylor]: Taking taylor expansion of 0 in lambda2 1.827 * [taylor]: Taking taylor expansion of 0 in R 1.828 * [taylor]: Taking taylor expansion of 0 in lambda2 1.828 * [taylor]: Taking taylor expansion of 0 in R 1.828 * [taylor]: Taking taylor expansion of 0 in R 1.830 * [taylor]: Taking taylor expansion of 0 in phi2 1.830 * [taylor]: Taking taylor expansion of 0 in lambda1 1.830 * [taylor]: Taking taylor expansion of 0 in lambda2 1.830 * [taylor]: Taking taylor expansion of 0 in R 1.830 * [taylor]: Taking taylor expansion of 0 in lambda1 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda1 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.831 * [taylor]: Taking taylor expansion of 0 in lambda2 1.831 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in lambda2 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.832 * [taylor]: Taking taylor expansion of 0 in R 1.833 * [taylor]: Taking taylor expansion of 0 in R 1.836 * [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 1.836 * [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 1.836 * [taylor]: Taking taylor expansion of -1 in R 1.836 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.836 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.837 * [taylor]: Taking taylor expansion of R in R 1.837 * [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 1.837 * [taylor]: Taking taylor expansion of -1 in lambda2 1.837 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.837 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.838 * [taylor]: Taking taylor expansion of R in lambda2 1.838 * [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 1.838 * [taylor]: Taking taylor expansion of -1 in lambda1 1.838 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.838 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.839 * [taylor]: Taking taylor expansion of R in lambda1 1.842 * [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 1.842 * [taylor]: Taking taylor expansion of -1 in phi2 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)))))) R) in phi2 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 R in phi2 1.843 * [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 1.843 * [taylor]: Taking taylor expansion of -1 in phi1 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)))))) R) in phi1 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 phi1 1.844 * [taylor]: Taking taylor expansion of R in phi1 1.844 * [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 1.844 * [taylor]: Taking taylor expansion of -1 in phi1 1.844 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.844 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.845 * [taylor]: Taking taylor expansion of R in phi1 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of -1 in phi2 1.846 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.846 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.846 * [taylor]: Taking taylor expansion of R in phi2 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of -1 in lambda1 1.847 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.848 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.848 * [taylor]: Taking taylor expansion of R in lambda1 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of -1 in lambda2 1.849 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.849 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.850 * [taylor]: Taking taylor expansion of R in lambda2 1.851 * [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 1.851 * [taylor]: Taking taylor expansion of -1 in R 1.851 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (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 1.851 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 1.851 * [taylor]: Taking taylor expansion of R in R 1.855 * [taylor]: Taking taylor expansion of 0 in phi2 1.855 * [taylor]: Taking taylor expansion of 0 in lambda1 1.855 * [taylor]: Taking taylor expansion of 0 in lambda2 1.855 * [taylor]: Taking taylor expansion of 0 in R 1.856 * [taylor]: Taking taylor expansion of 0 in lambda1 1.856 * [taylor]: Taking taylor expansion of 0 in lambda2 1.856 * [taylor]: Taking taylor expansion of 0 in R 1.858 * [taylor]: Taking taylor expansion of 0 in lambda2 1.858 * [taylor]: Taking taylor expansion of 0 in R 1.859 * [taylor]: Taking taylor expansion of 0 in R 1.863 * [taylor]: Taking taylor expansion of 0 in phi2 1.863 * [taylor]: Taking taylor expansion of 0 in lambda1 1.863 * [taylor]: Taking taylor expansion of 0 in lambda2 1.863 * [taylor]: Taking taylor expansion of 0 in R 1.863 * [taylor]: Taking taylor expansion of 0 in lambda1 1.863 * [taylor]: Taking taylor expansion of 0 in lambda2 1.863 * [taylor]: Taking taylor expansion of 0 in R 1.865 * [taylor]: Taking taylor expansion of 0 in lambda1 1.865 * [taylor]: Taking taylor expansion of 0 in lambda2 1.865 * [taylor]: Taking taylor expansion of 0 in R 1.865 * [taylor]: Taking taylor expansion of 0 in lambda2 1.865 * [taylor]: Taking taylor expansion of 0 in R 1.865 * [taylor]: Taking taylor expansion of 0 in lambda2 1.865 * [taylor]: Taking taylor expansion of 0 in R 1.867 * [taylor]: Taking taylor expansion of 0 in lambda2 1.867 * [taylor]: Taking taylor expansion of 0 in R 1.867 * [taylor]: Taking taylor expansion of 0 in R 1.867 * [taylor]: Taking taylor expansion of 0 in R 1.867 * [taylor]: Taking taylor expansion of 0 in R 1.869 * [taylor]: Taking taylor expansion of 0 in R 1.873 * * * [progress]: simplifying candidates 1.874 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (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))))))) (expm1 (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log1p (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (* (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (cbrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (sqrt (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log 1) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (/ PI 2))) (log (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (log (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp 1)) (log (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))))) (cbrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (* (* (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (sqrt (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (expm1 (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (log1p (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))))) (exp (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (exp 1) (exp (/ PI 2)) (exp (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) 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(* (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 (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* 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))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* 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))))))) 1.994 * * * [progress]: adding candidates to table 2.383 * * [progress]: iteration 4 / 4 2.383 * * * [progress]: picking best candidate 2.483 * * * * [pick]: Picked # 2.483 * * * [progress]: localizing error 2.521 * * * [progress]: generating rewritten candidates 2.521 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 2) 2.524 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1 2) 2.526 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1) 2.528 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.529 * * * [progress]: generating series expansions 2.529 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 2) 2.529 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in (phi1 phi2) around 0 2.529 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi2 2.529 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi2 2.529 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi2 2.529 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.529 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi2 2.529 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.529 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.529 * [taylor]: Taking taylor expansion of phi1 in phi2 2.529 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.529 * [taylor]: Taking taylor expansion of phi2 in phi2 2.532 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi1 2.532 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi1 2.532 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi1 2.532 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.532 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi1 2.532 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.532 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.532 * [taylor]: Taking taylor expansion of phi1 in phi1 2.532 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.532 * [taylor]: Taking taylor expansion of phi2 in phi1 2.535 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi1 2.535 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi1 2.535 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi1 2.535 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.535 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi1 2.535 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.535 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.535 * [taylor]: Taking taylor expansion of phi1 in phi1 2.535 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.535 * [taylor]: Taking taylor expansion of phi2 in phi1 2.538 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (sin phi2)) (log phi1)))) in phi2 2.538 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (sin phi2)) (log phi1))) in phi2 2.538 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.538 * [taylor]: Taking taylor expansion of (+ (log (sin phi2)) (log phi1)) in phi2 2.538 * [taylor]: Taking taylor expansion of (log (sin phi2)) in phi2 2.538 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.538 * [taylor]: Taking taylor expansion of phi2 in phi2 2.539 * [taylor]: Taking taylor expansion of (log phi1) in phi2 2.539 * [taylor]: Taking taylor expansion of phi1 in phi2 2.544 * [taylor]: Taking taylor expansion of 0 in phi2 2.554 * [taylor]: Taking taylor expansion of (* -1/18 (exp (* 1/3 (+ (log (sin phi2)) (log phi1))))) in phi2 2.554 * [taylor]: Taking taylor expansion of -1/18 in phi2 2.554 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (sin phi2)) (log phi1)))) in phi2 2.554 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (sin phi2)) (log phi1))) in phi2 2.554 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.554 * [taylor]: Taking taylor expansion of (+ (log (sin phi2)) (log phi1)) in phi2 2.554 * [taylor]: Taking taylor expansion of (log (sin phi2)) in phi2 2.554 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.554 * [taylor]: Taking taylor expansion of phi2 in phi2 2.554 * [taylor]: Taking taylor expansion of (log phi1) in phi2 2.554 * [taylor]: Taking taylor expansion of phi1 in phi2 2.561 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in (phi1 phi2) around 0 2.561 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi2 2.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 2.561 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.561 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi2 2.561 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.561 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.561 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.561 * [taylor]: Taking taylor expansion of phi1 in phi2 2.561 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.561 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.561 * [taylor]: Taking taylor expansion of phi2 in phi2 2.562 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi1 2.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 2.562 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.562 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi1 2.562 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.562 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.562 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.562 * [taylor]: Taking taylor expansion of phi1 in phi1 2.563 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.563 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.563 * [taylor]: Taking taylor expansion of phi2 in phi1 2.563 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi1 2.563 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.563 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 2.563 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.563 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi1 2.563 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.563 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.563 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.563 * [taylor]: Taking taylor expansion of phi1 in phi1 2.563 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.564 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.564 * [taylor]: Taking taylor expansion of phi2 in phi1 2.564 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi2 2.564 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.564 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 2.564 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.564 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi2 2.564 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.564 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.564 * [taylor]: Taking taylor expansion of phi1 in phi2 2.564 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.564 * [taylor]: Taking taylor expansion of phi2 in phi2 2.573 * [taylor]: Taking taylor expansion of 0 in phi2 2.581 * [taylor]: Taking taylor expansion of 0 in phi2 2.593 * [taylor]: Taking taylor expansion of 0 in phi2 2.594 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in (phi1 phi2) around 0 2.594 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi2 2.594 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.594 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 2.594 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.594 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi2 2.594 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.594 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.594 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.594 * [taylor]: Taking taylor expansion of -1 in phi2 2.594 * [taylor]: Taking taylor expansion of phi1 in phi2 2.594 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.594 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.594 * [taylor]: Taking taylor expansion of -1 in phi2 2.594 * [taylor]: Taking taylor expansion of phi2 in phi2 2.595 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi1 2.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 2.595 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.595 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi1 2.595 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.595 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.595 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.595 * [taylor]: Taking taylor expansion of -1 in phi1 2.595 * [taylor]: Taking taylor expansion of phi1 in phi1 2.595 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.595 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.595 * [taylor]: Taking taylor expansion of -1 in phi1 2.595 * [taylor]: Taking taylor expansion of phi2 in phi1 2.596 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi1 2.596 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.596 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 2.596 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.596 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi1 2.596 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.596 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.596 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.596 * [taylor]: Taking taylor expansion of -1 in phi1 2.596 * [taylor]: Taking taylor expansion of phi1 in phi1 2.596 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.596 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.596 * [taylor]: Taking taylor expansion of -1 in phi1 2.596 * [taylor]: Taking taylor expansion of phi2 in phi1 2.597 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi2 2.597 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.597 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 2.597 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.597 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi2 2.597 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.597 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.597 * [taylor]: Taking taylor expansion of -1 in phi2 2.597 * [taylor]: Taking taylor expansion of phi1 in phi2 2.597 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.597 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.597 * [taylor]: Taking taylor expansion of -1 in phi2 2.597 * [taylor]: Taking taylor expansion of phi2 in phi2 2.601 * [taylor]: Taking taylor expansion of 0 in phi2 2.609 * [taylor]: Taking taylor expansion of 0 in phi2 2.621 * [taylor]: Taking taylor expansion of 0 in phi2 2.621 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1 2) 2.622 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in (phi1 phi2) around 0 2.622 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi2 2.622 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi2 2.622 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi2 2.622 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.622 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi2 2.622 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.622 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.622 * [taylor]: Taking taylor expansion of phi1 in phi2 2.622 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.622 * [taylor]: Taking taylor expansion of phi2 in phi2 2.624 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi1 2.625 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi1 2.625 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi1 2.625 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.625 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi1 2.625 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.625 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.625 * [taylor]: Taking taylor expansion of phi1 in phi1 2.625 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.625 * [taylor]: Taking taylor expansion of phi2 in phi1 2.627 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi1 2.627 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi1 2.627 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi1 2.627 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.627 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi1 2.627 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.627 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.627 * [taylor]: Taking taylor expansion of phi1 in phi1 2.628 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.628 * [taylor]: Taking taylor expansion of phi2 in phi1 2.630 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (sin phi2)) (log phi1)))) in phi2 2.630 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (sin phi2)) (log phi1))) in phi2 2.630 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.630 * [taylor]: Taking taylor expansion of (+ (log (sin phi2)) (log phi1)) in phi2 2.630 * [taylor]: Taking taylor expansion of (log (sin phi2)) in phi2 2.630 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.630 * [taylor]: Taking taylor expansion of phi2 in phi2 2.631 * [taylor]: Taking taylor expansion of (log phi1) in phi2 2.631 * [taylor]: Taking taylor expansion of phi1 in phi2 2.636 * [taylor]: Taking taylor expansion of 0 in phi2 2.646 * [taylor]: Taking taylor expansion of (* -1/18 (exp (* 1/3 (+ (log (sin phi2)) (log phi1))))) in phi2 2.646 * [taylor]: Taking taylor expansion of -1/18 in phi2 2.646 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (sin phi2)) (log phi1)))) in phi2 2.646 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (sin phi2)) (log phi1))) in phi2 2.646 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.646 * [taylor]: Taking taylor expansion of (+ (log (sin phi2)) (log phi1)) in phi2 2.646 * [taylor]: Taking taylor expansion of (log (sin phi2)) in phi2 2.646 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.646 * [taylor]: Taking taylor expansion of phi2 in phi2 2.646 * [taylor]: Taking taylor expansion of (log phi1) in phi2 2.647 * [taylor]: Taking taylor expansion of phi1 in phi2 2.653 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in (phi1 phi2) around 0 2.653 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi2 2.653 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.653 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 2.653 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.653 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi2 2.653 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.653 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.653 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.653 * [taylor]: Taking taylor expansion of phi1 in phi2 2.653 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.653 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.653 * [taylor]: Taking taylor expansion of phi2 in phi2 2.654 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi1 2.654 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.654 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 2.654 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.654 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi1 2.654 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.654 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.654 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.654 * [taylor]: Taking taylor expansion of phi1 in phi1 2.654 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.655 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.655 * [taylor]: Taking taylor expansion of phi2 in phi1 2.655 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi1 2.655 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.655 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 2.655 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.655 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi1 2.655 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.655 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.655 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.655 * [taylor]: Taking taylor expansion of phi1 in phi1 2.655 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.656 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.656 * [taylor]: Taking taylor expansion of phi2 in phi1 2.656 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi2 2.656 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.656 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 2.656 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.656 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi2 2.656 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.656 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.656 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.656 * [taylor]: Taking taylor expansion of phi1 in phi2 2.656 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.656 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.656 * [taylor]: Taking taylor expansion of phi2 in phi2 2.666 * [taylor]: Taking taylor expansion of 0 in phi2 2.674 * [taylor]: Taking taylor expansion of 0 in phi2 2.686 * [taylor]: Taking taylor expansion of 0 in phi2 2.686 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in (phi1 phi2) around 0 2.686 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi2 2.686 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.686 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 2.686 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.686 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi2 2.686 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.686 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.686 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.686 * [taylor]: Taking taylor expansion of -1 in phi2 2.686 * [taylor]: Taking taylor expansion of phi1 in phi2 2.686 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.686 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.686 * [taylor]: Taking taylor expansion of -1 in phi2 2.686 * [taylor]: Taking taylor expansion of phi2 in phi2 2.687 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi1 2.687 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.687 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 2.687 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.687 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi1 2.687 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.687 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.687 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.687 * [taylor]: Taking taylor expansion of -1 in phi1 2.687 * [taylor]: Taking taylor expansion of phi1 in phi1 2.687 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.687 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.688 * [taylor]: Taking taylor expansion of -1 in phi1 2.688 * [taylor]: Taking taylor expansion of phi2 in phi1 2.688 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi1 2.688 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.688 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 2.688 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.688 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi1 2.688 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.688 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.688 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.688 * [taylor]: Taking taylor expansion of -1 in phi1 2.688 * [taylor]: Taking taylor expansion of phi1 in phi1 2.689 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.689 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.689 * [taylor]: Taking taylor expansion of -1 in phi1 2.689 * [taylor]: Taking taylor expansion of phi2 in phi1 2.689 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi2 2.689 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.689 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 2.689 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.689 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi2 2.689 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.689 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.689 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.689 * [taylor]: Taking taylor expansion of -1 in phi2 2.689 * [taylor]: Taking taylor expansion of phi1 in phi2 2.689 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.689 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.689 * [taylor]: Taking taylor expansion of -1 in phi2 2.689 * [taylor]: Taking taylor expansion of phi2 in phi2 2.693 * [taylor]: Taking taylor expansion of 0 in phi2 2.702 * [taylor]: Taking taylor expansion of 0 in phi2 2.713 * [taylor]: Taking taylor expansion of 0 in phi2 2.714 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1) 2.714 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in (phi1 phi2) around 0 2.714 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi2 2.714 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi2 2.714 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi2 2.714 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.714 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi2 2.714 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.714 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.714 * [taylor]: Taking taylor expansion of phi1 in phi2 2.714 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.714 * [taylor]: Taking taylor expansion of phi2 in phi2 2.717 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi1 2.717 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi1 2.717 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi1 2.717 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.717 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi1 2.717 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.717 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.717 * [taylor]: Taking taylor expansion of phi1 in phi1 2.717 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.717 * [taylor]: Taking taylor expansion of phi2 in phi1 2.720 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 1/3) in phi1 2.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin phi1) (sin phi2))))) in phi1 2.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin phi1) (sin phi2)))) in phi1 2.720 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.720 * [taylor]: Taking taylor expansion of (log (* (sin phi1) (sin phi2))) in phi1 2.720 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.720 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.720 * [taylor]: Taking taylor expansion of phi1 in phi1 2.720 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.720 * [taylor]: Taking taylor expansion of phi2 in phi1 2.723 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (sin phi2)) (log phi1)))) in phi2 2.723 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (sin phi2)) (log phi1))) in phi2 2.723 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.723 * [taylor]: Taking taylor expansion of (+ (log (sin phi2)) (log phi1)) in phi2 2.723 * [taylor]: Taking taylor expansion of (log (sin phi2)) in phi2 2.723 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.723 * [taylor]: Taking taylor expansion of phi2 in phi2 2.724 * [taylor]: Taking taylor expansion of (log phi1) in phi2 2.724 * [taylor]: Taking taylor expansion of phi1 in phi2 2.729 * [taylor]: Taking taylor expansion of 0 in phi2 2.738 * [taylor]: Taking taylor expansion of (* -1/18 (exp (* 1/3 (+ (log (sin phi2)) (log phi1))))) in phi2 2.738 * [taylor]: Taking taylor expansion of -1/18 in phi2 2.738 * [taylor]: Taking taylor expansion of (exp (* 1/3 (+ (log (sin phi2)) (log phi1)))) in phi2 2.738 * [taylor]: Taking taylor expansion of (* 1/3 (+ (log (sin phi2)) (log phi1))) in phi2 2.738 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.738 * [taylor]: Taking taylor expansion of (+ (log (sin phi2)) (log phi1)) in phi2 2.738 * [taylor]: Taking taylor expansion of (log (sin phi2)) in phi2 2.738 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.738 * [taylor]: Taking taylor expansion of phi2 in phi2 2.739 * [taylor]: Taking taylor expansion of (log phi1) in phi2 2.739 * [taylor]: Taking taylor expansion of phi1 in phi2 2.745 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in (phi1 phi2) around 0 2.746 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi2 2.746 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.746 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 2.746 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.746 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi2 2.746 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.746 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.746 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.746 * [taylor]: Taking taylor expansion of phi1 in phi2 2.746 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.746 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.746 * [taylor]: Taking taylor expansion of phi2 in phi2 2.747 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi1 2.747 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.747 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 2.747 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.747 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi1 2.747 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.747 * [taylor]: Taking taylor expansion of phi1 in phi1 2.747 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.747 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.747 * [taylor]: Taking taylor expansion of phi2 in phi1 2.748 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi1 2.748 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi1 2.748 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi1 2.748 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.748 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi1 2.748 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.748 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.748 * [taylor]: Taking taylor expansion of phi1 in phi1 2.748 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.748 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.748 * [taylor]: Taking taylor expansion of phi2 in phi1 2.749 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 1/3) in phi2 2.749 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) in phi2 2.749 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) in phi2 2.749 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.749 * [taylor]: Taking taylor expansion of (log (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) in phi2 2.749 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.749 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.749 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.749 * [taylor]: Taking taylor expansion of phi1 in phi2 2.749 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.749 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.749 * [taylor]: Taking taylor expansion of phi2 in phi2 2.758 * [taylor]: Taking taylor expansion of 0 in phi2 2.766 * [taylor]: Taking taylor expansion of 0 in phi2 2.778 * [taylor]: Taking taylor expansion of 0 in phi2 2.779 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in (phi1 phi2) around 0 2.779 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi2 2.779 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.779 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 2.779 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.779 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi2 2.779 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.779 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.779 * [taylor]: Taking taylor expansion of -1 in phi2 2.779 * [taylor]: Taking taylor expansion of phi1 in phi2 2.779 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.779 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.779 * [taylor]: Taking taylor expansion of -1 in phi2 2.779 * [taylor]: Taking taylor expansion of phi2 in phi2 2.780 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi1 2.780 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.780 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 2.780 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.780 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi1 2.780 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.780 * [taylor]: Taking taylor expansion of -1 in phi1 2.780 * [taylor]: Taking taylor expansion of phi1 in phi1 2.780 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.780 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.780 * [taylor]: Taking taylor expansion of -1 in phi1 2.780 * [taylor]: Taking taylor expansion of phi2 in phi1 2.781 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi1 2.781 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.781 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 2.781 * [taylor]: Taking taylor expansion of 1/3 in phi1 2.781 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi1 2.781 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.781 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.781 * [taylor]: Taking taylor expansion of -1 in phi1 2.781 * [taylor]: Taking taylor expansion of phi1 in phi1 2.781 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.781 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.781 * [taylor]: Taking taylor expansion of -1 in phi1 2.781 * [taylor]: Taking taylor expansion of phi2 in phi1 2.782 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1/3) in phi2 2.782 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.782 * [taylor]: Taking taylor expansion of (* 1/3 (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 2.782 * [taylor]: Taking taylor expansion of 1/3 in phi2 2.782 * [taylor]: Taking taylor expansion of (log (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) in phi2 2.782 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.782 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.782 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.782 * [taylor]: Taking taylor expansion of -1 in phi2 2.782 * [taylor]: Taking taylor expansion of phi1 in phi2 2.782 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.782 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.782 * [taylor]: Taking taylor expansion of -1 in phi2 2.782 * [taylor]: Taking taylor expansion of phi2 in phi2 2.786 * [taylor]: Taking taylor expansion of 0 in phi2 2.795 * [taylor]: Taking taylor expansion of 0 in phi2 2.806 * [taylor]: Taking taylor expansion of 0 in phi2 2.807 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.807 * [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 2.807 * [taylor]: Taking 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 2.808 * [taylor]: Taking 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 2.808 * [taylor]: Taking 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 2.808 * [taylor]: Taking 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 2.809 * [taylor]: Taking 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 2.809 * [taylor]: Taking 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 2.809 * [taylor]: Taking 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 2.810 * [taylor]: Taking 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 2.811 * [taylor]: Taking taylor expansion of 0 in phi2 2.811 * [taylor]: Taking taylor expansion of 0 in lambda1 2.811 * [taylor]: Taking taylor expansion of 0 in lambda2 2.811 * [taylor]: Taking taylor expansion of 0 in lambda1 2.811 * [taylor]: Taking taylor expansion of 0 in lambda2 2.811 * [taylor]: Taking taylor expansion of 0 in lambda2 2.811 * [taylor]: Taking taylor expansion of 0 in phi2 2.811 * [taylor]: Taking taylor expansion of 0 in lambda1 2.811 * [taylor]: Taking taylor expansion of 0 in lambda2 2.811 * [taylor]: Taking taylor expansion of 0 in lambda1 2.811 * [taylor]: Taking taylor expansion of 0 in lambda2 2.812 * [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 2.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.812 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.813 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.813 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.814 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.815 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 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 2.817 * [taylor]: Taking taylor expansion of 0 in phi2 2.817 * [taylor]: Taking taylor expansion of 0 in lambda1 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.817 * [taylor]: Taking taylor expansion of 0 in lambda1 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.817 * [taylor]: Taking taylor expansion of 0 in phi2 2.817 * [taylor]: Taking taylor expansion of 0 in lambda1 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.817 * [taylor]: Taking taylor expansion of 0 in lambda1 2.817 * [taylor]: Taking taylor expansion of 0 in lambda2 2.818 * [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 2.818 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.819 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.820 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.821 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.822 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -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 2.823 * [taylor]: Taking taylor expansion of 0 in phi2 2.823 * [taylor]: Taking taylor expansion of 0 in lambda1 2.823 * [taylor]: Taking taylor expansion of 0 in lambda2 2.823 * [taylor]: Taking taylor expansion of 0 in lambda1 2.823 * [taylor]: Taking taylor expansion of 0 in lambda2 2.823 * [taylor]: Taking taylor expansion of 0 in lambda2 2.824 * [taylor]: Taking taylor expansion of 0 in phi2 2.824 * [taylor]: Taking taylor expansion of 0 in lambda1 2.824 * [taylor]: Taking taylor expansion of 0 in lambda2 2.824 * [taylor]: Taking taylor expansion of 0 in lambda1 2.824 * [taylor]: Taking taylor expansion of 0 in lambda2 2.824 * * * [progress]: simplifying candidates 2.825 * [simplify]: Simplifying using # : (expm1 (cbrt (* (sin phi1) (sin phi2)))) (log1p (cbrt (* (sin phi1) (sin phi2)))) (log (cbrt (* (sin phi1) (sin phi2)))) (exp (cbrt (* (sin phi1) (sin phi2)))) (cbrt (sin phi1)) (cbrt (sin phi2)) (cbrt (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (cbrt 2) (* (cbrt (cbrt (* (sin phi1) (sin phi2)))) (cbrt (cbrt (* (sin phi1) (sin phi2))))) (cbrt (cbrt (* (sin phi1) (sin phi2)))) (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (expm1 (cbrt (* (sin phi1) (sin phi2)))) (log1p (cbrt (* (sin phi1) (sin phi2)))) (log (cbrt (* (sin phi1) (sin phi2)))) (exp (cbrt (* (sin phi1) (sin phi2)))) (cbrt (sin phi1)) (cbrt (sin phi2)) (cbrt (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (cbrt 2) (* (cbrt (cbrt (* (sin phi1) (sin phi2)))) (cbrt (cbrt (* (sin phi1) (sin phi2))))) (cbrt (cbrt (* (sin phi1) (sin phi2)))) (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (expm1 (cbrt (* (sin phi1) (sin phi2)))) (log1p (cbrt (* (sin phi1) (sin phi2)))) (log (cbrt (* (sin phi1) (sin phi2)))) (exp (cbrt (* (sin phi1) (sin phi2)))) (cbrt (sin phi1)) (cbrt (sin phi2)) (cbrt (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (cbrt 2) (* (cbrt (cbrt (* (sin phi1) (sin phi2)))) (cbrt (cbrt (* (sin phi1) (sin phi2))))) (cbrt (cbrt (* (sin phi1) (sin phi2)))) (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (expm1 (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (exp (* 1/3 (+ (log phi2) (log phi1)))) (+ (* 1/18 (* (pow phi2 2) (exp (* 1/3 (+ (log phi2) (log phi1)))))) (* 1/18 (* (exp (* 1/3 (+ (log phi2) (log phi1)))) (pow phi1 2))))) (pow (* (sin phi1) (sin phi2)) 1/3) (pow (* (sin phi1) (sin phi2)) 1/3) (- (exp (* 1/3 (+ (log phi2) (log phi1)))) (+ (* 1/18 (* (pow phi2 2) (exp (* 1/3 (+ (log phi2) (log phi1)))))) (* 1/18 (* (exp (* 1/3 (+ (log phi2) (log phi1)))) (pow phi1 2))))) (pow (* (sin phi1) (sin phi2)) 1/3) (pow (* (sin phi1) (sin phi2)) 1/3) (- (exp (* 1/3 (+ (log phi2) (log phi1)))) (+ (* 1/18 (* (pow phi2 2) (exp (* 1/3 (+ (log phi2) (log phi1)))))) (* 1/18 (* (exp (* 1/3 (+ (log phi2) (log phi1)))) (pow phi1 2))))) (pow (* (sin phi1) (sin phi2)) 1/3) (pow (* (sin phi1) (sin phi2)) 1/3) (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))))) 2.829 * * [simplify]: iteration 0 : 162 enodes (cost 730 ) 2.832 * * [simplify]: iteration 1 : 391 enodes (cost 645 ) 2.840 * * [simplify]: iteration 2 : 1131 enodes (cost 621 ) 2.859 * * [simplify]: iteration 3 : 3530 enodes (cost 599 ) 2.951 * * [simplify]: iteration 4 : 5001 enodes (cost 599 ) 2.954 * [simplify]: Simplified to: (expm1 (cbrt (* (sin phi1) (sin phi2)))) (log1p (cbrt (* (sin phi1) (sin phi2)))) (log (cbrt (* (sin phi1) (sin phi2)))) (exp (cbrt (* (sin phi1) (sin phi2)))) (cbrt (sin phi1)) (cbrt (sin phi2)) (cbrt (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (cbrt 2) (* (cbrt (cbrt (* (sin phi1) (sin phi2)))) (cbrt (cbrt (* (sin phi1) (sin phi2))))) (cbrt (cbrt (* (sin phi1) (sin phi2)))) (* (sin phi1) (sin phi2)) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (expm1 (cbrt (* (sin phi1) (sin phi2)))) (log1p (cbrt (* (sin phi1) (sin phi2)))) (log (cbrt (* (sin phi1) (sin phi2)))) (exp (cbrt (* (sin phi1) (sin phi2)))) (cbrt (sin phi1)) (cbrt (sin phi2)) (cbrt (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (cbrt 2) (* (cbrt (cbrt (* (sin phi1) (sin phi2)))) (cbrt (cbrt (* (sin phi1) (sin phi2))))) (cbrt (cbrt (* (sin phi1) (sin phi2)))) (* (sin phi1) (sin phi2)) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (expm1 (cbrt (* (sin phi1) (sin phi2)))) (log1p (cbrt (* (sin phi1) (sin phi2)))) (log (cbrt (* (sin phi1) (sin phi2)))) (exp (cbrt (* (sin phi1) (sin phi2)))) (cbrt (sin phi1)) (cbrt (sin phi2)) (cbrt (- (cos (- phi1 phi2)) (cos (+ phi1 phi2)))) (cbrt 2) (* (cbrt (cbrt (* (sin phi1) (sin phi2)))) (cbrt (cbrt (* (sin phi1) (sin phi2))))) (cbrt (cbrt (* (sin phi1) (sin phi2)))) (* (sin phi1) (sin phi2)) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (sqrt (cbrt (* (sin phi1) (sin phi2)))) (expm1 (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log1p (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (/ PI 2) (asin (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3) (sqrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (fma (pow phi1 1/3) (pow phi2 1/3) (* (* (- 1/18) (* (pow phi1 1/3) (pow phi2 1/3))) (fma phi2 phi2 (pow phi1 2)))) (pow (* (sin phi1) (sin phi2)) 1/3) (pow (* (sin phi1) (sin phi2)) 1/3) (fma (pow phi1 1/3) (pow phi2 1/3) (* (* (- 1/18) (* (pow phi1 1/3) (pow phi2 1/3))) (fma phi2 phi2 (pow phi1 2)))) (pow (* (sin phi1) (sin phi2)) 1/3) (pow (* (sin phi1) (sin phi2)) 1/3) (fma (pow phi1 1/3) (pow phi2 1/3) (* (* (- 1/18) (* (pow phi1 1/3) (pow phi2 1/3))) (fma phi2 phi2 (pow phi1 2)))) (pow (* (sin phi1) (sin phi2)) 1/3) (pow (* (sin phi1) (sin phi2)) 1/3) (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))))) 2.955 * * * [progress]: adding candidates to table 3.312 * [progress]: [Phase 3 of 3] Extracting. 3.313 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 3.332 * * * [regime-changes]: Trying 7 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 lambda2 lambda1 R) 3.332 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # #) 3.453 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # #) 3.575 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 3.696 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 3.811 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 3.930 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 4.050 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 4.169 * * * [regime]: Found split indices: #