9.843 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.287 * * * [progress]: [2/2] Setting up program. 0.291 * [progress]: [Phase 2 of 3] Improving. 0.292 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.294 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.295 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.296 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.298 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.299 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.299 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.299 * * [progress]: iteration 1 / 4 0.300 * * * [progress]: picking best candidate 0.303 * * * * [pick]: Picked # 0.303 * * * [progress]: localizing error 0.334 * * * [progress]: generating rewritten candidates 0.334 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.341 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.342 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.345 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.351 * * * [progress]: generating series expansions 0.351 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.351 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.351 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.351 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.351 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.351 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.352 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.352 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.352 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.352 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.353 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.353 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.355 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.355 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.355 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.355 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.359 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.359 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.359 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.359 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.359 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.361 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.361 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.361 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.361 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.362 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.362 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.362 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.362 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.362 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.363 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.363 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.363 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.363 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.363 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.363 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.363 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [taylor]: Taking taylor expansion of 0 in lambda2 0.364 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.364 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.364 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.364 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.364 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.365 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.365 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.365 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.365 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.365 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.365 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.365 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.365 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.366 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.366 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.366 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.366 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.366 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.366 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.367 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.367 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.367 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.367 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.367 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.367 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.368 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.368 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.369 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 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 lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 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 lambda1 0.370 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [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 0.371 * [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 0.371 * [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 0.371 * [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 0.371 * [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 0.372 * [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 0.372 * [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 0.372 * [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 0.373 * [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 0 in phi2 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in phi2 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.373 * [taylor]: Taking taylor expansion of 0 in lambda1 0.373 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [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 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in phi2 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in phi2 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * [taylor]: Taking taylor expansion of 0 in lambda1 0.377 * [taylor]: Taking taylor expansion of 0 in lambda2 0.377 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.377 * [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 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.378 * [taylor]: Taking taylor expansion of R in R 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.378 * [taylor]: Taking taylor expansion of R in lambda2 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.378 * [taylor]: Taking taylor expansion of R in lambda1 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.378 * [taylor]: Taking taylor expansion of R in phi2 0.378 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.378 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.379 * [taylor]: Taking taylor expansion of R in phi1 0.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.379 * [taylor]: Taking taylor expansion of R in phi1 0.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.379 * [taylor]: Taking taylor expansion of R in phi2 0.379 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.379 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.380 * [taylor]: Taking taylor expansion of R in lambda1 0.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.380 * [taylor]: Taking taylor expansion of R in lambda2 0.380 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.380 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.380 * [taylor]: Taking taylor expansion of R in R 0.381 * [taylor]: Taking taylor expansion of 0 in phi2 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda1 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.381 * [taylor]: Taking taylor expansion of 0 in lambda2 0.381 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.383 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 0.383 * [taylor]: Taking taylor expansion of 0 in lambda2 0.383 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda1 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.384 * [taylor]: Taking taylor expansion of 0 in lambda2 0.384 * [taylor]: Taking taylor expansion of 0 in R 0.385 * [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 0.385 * [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 0.385 * [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 0.386 * [taylor]: Taking taylor expansion of R in R 0.386 * [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 0.386 * [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 0.386 * [taylor]: Taking taylor expansion of R in lambda2 0.386 * [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 0.386 * [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 0.387 * [taylor]: Taking taylor expansion of R in lambda1 0.387 * [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 0.387 * [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 0.387 * [taylor]: Taking taylor expansion of R in phi2 0.388 * [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 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of R in phi1 0.388 * [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 0.388 * [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 0.388 * [taylor]: Taking taylor expansion of R in phi1 0.389 * [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 0.389 * [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 0.389 * [taylor]: Taking taylor expansion of R in phi2 0.389 * [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 0.389 * [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 0.390 * [taylor]: Taking taylor expansion of R in lambda1 0.390 * [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 0.390 * [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 0.390 * [taylor]: Taking taylor expansion of R in lambda2 0.390 * [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 0.390 * [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 0.391 * [taylor]: Taking taylor expansion of R in R 0.392 * [taylor]: Taking taylor expansion of 0 in phi2 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.392 * [taylor]: Taking taylor expansion of 0 in lambda1 0.392 * [taylor]: Taking taylor expansion of 0 in lambda2 0.392 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in phi2 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.394 * [taylor]: Taking taylor expansion of 0 in lambda1 0.394 * [taylor]: Taking taylor expansion of 0 in lambda2 0.394 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in lambda1 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in lambda2 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.395 * [taylor]: Taking taylor expansion of 0 in R 0.396 * [taylor]: Taking taylor expansion of 0 in R 0.398 * [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 0.398 * [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 0.398 * [taylor]: Taking taylor expansion of R in R 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of -1 in lambda2 0.399 * [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 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of R in lambda2 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of -1 in lambda1 0.399 * [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 0.399 * [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 0.399 * [taylor]: Taking taylor expansion of R in lambda1 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of -1 in phi2 0.400 * [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 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of R in phi2 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of -1 in phi1 0.400 * [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 0.400 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.401 * [taylor]: Taking taylor expansion of R in phi1 0.401 * [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 0.401 * [taylor]: Taking taylor expansion of -1 in phi1 0.401 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi1 0.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi1 0.401 * [taylor]: Taking taylor expansion of R in phi1 0.402 * [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 0.402 * [taylor]: Taking taylor expansion of -1 in phi2 0.402 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in phi2 0.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.406 * [taylor]: Taking taylor expansion of R in phi2 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of -1 in lambda1 0.407 * [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 0.407 * [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 0.407 * [taylor]: Taking taylor expansion of R in lambda1 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of -1 in lambda2 0.408 * [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 0.408 * [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 0.408 * [taylor]: Taking taylor expansion of R in lambda2 0.409 * [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 0.409 * [taylor]: Taking taylor expansion of -1 in R 0.409 * [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 0.409 * [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 0.409 * [taylor]: Taking taylor expansion of R in R 0.411 * [taylor]: Taking taylor expansion of 0 in phi2 0.411 * [taylor]: Taking taylor expansion of 0 in lambda1 0.411 * [taylor]: Taking taylor expansion of 0 in lambda2 0.411 * [taylor]: Taking taylor expansion of 0 in R 0.412 * [taylor]: Taking taylor expansion of 0 in lambda1 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in lambda2 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in phi2 0.417 * [taylor]: Taking taylor expansion of 0 in lambda1 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.417 * [taylor]: Taking taylor expansion of 0 in lambda1 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in R 0.418 * [taylor]: Taking taylor expansion of 0 in lambda1 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [taylor]: Taking taylor expansion of 0 in R 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [taylor]: Taking taylor expansion of 0 in R 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in lambda2 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.419 * [taylor]: Taking taylor expansion of 0 in R 0.421 * [taylor]: Taking taylor expansion of 0 in R 0.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.423 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.423 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.423 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.423 * [taylor]: Taking taylor expansion of phi1 in phi2 0.423 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.423 * [taylor]: Taking taylor expansion of phi2 in phi2 0.423 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.423 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.423 * [taylor]: Taking taylor expansion of phi1 in phi1 0.424 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.424 * [taylor]: Taking taylor expansion of phi2 in phi1 0.424 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.424 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.424 * [taylor]: Taking taylor expansion of phi1 in phi1 0.424 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.424 * [taylor]: Taking taylor expansion of phi2 in phi1 0.424 * [taylor]: Taking taylor expansion of 0 in phi2 0.426 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.426 * [taylor]: Taking taylor expansion of phi2 in phi2 0.429 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.433 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.433 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.433 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.433 * [taylor]: Taking taylor expansion of phi2 in phi2 0.439 * [taylor]: Taking taylor expansion of 0 in phi2 0.439 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.439 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.439 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.439 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.439 * [taylor]: Taking taylor expansion of phi1 in phi2 0.439 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.439 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.439 * [taylor]: Taking taylor expansion of phi2 in phi2 0.439 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.439 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.439 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.439 * [taylor]: Taking taylor expansion of phi1 in phi1 0.440 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.440 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.440 * [taylor]: Taking taylor expansion of phi2 in phi1 0.440 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.440 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.440 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.440 * [taylor]: Taking taylor expansion of phi1 in phi1 0.440 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.440 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.440 * [taylor]: Taking taylor expansion of phi2 in phi1 0.440 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.440 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.440 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.440 * [taylor]: Taking taylor expansion of phi1 in phi2 0.441 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.441 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.441 * [taylor]: Taking taylor expansion of phi2 in phi2 0.443 * [taylor]: Taking taylor expansion of 0 in phi2 0.446 * [taylor]: Taking taylor expansion of 0 in phi2 0.451 * [taylor]: Taking taylor expansion of 0 in phi2 0.452 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.452 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.452 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.452 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.452 * [taylor]: Taking taylor expansion of -1 in phi2 0.452 * [taylor]: Taking taylor expansion of phi1 in phi2 0.452 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.452 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.452 * [taylor]: Taking taylor expansion of -1 in phi2 0.452 * [taylor]: Taking taylor expansion of phi2 in phi2 0.452 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.452 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.452 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.452 * [taylor]: Taking taylor expansion of -1 in phi1 0.452 * [taylor]: Taking taylor expansion of phi1 in phi1 0.452 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.453 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.453 * [taylor]: Taking taylor expansion of -1 in phi1 0.453 * [taylor]: Taking taylor expansion of phi2 in phi1 0.453 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.453 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.453 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.453 * [taylor]: Taking taylor expansion of -1 in phi1 0.453 * [taylor]: Taking taylor expansion of phi1 in phi1 0.453 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.453 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.453 * [taylor]: Taking taylor expansion of -1 in phi1 0.453 * [taylor]: Taking taylor expansion of phi2 in phi1 0.453 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.453 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.453 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.453 * [taylor]: Taking taylor expansion of -1 in phi2 0.453 * [taylor]: Taking taylor expansion of phi1 in phi2 0.454 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.454 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.454 * [taylor]: Taking taylor expansion of -1 in phi2 0.454 * [taylor]: Taking taylor expansion of phi2 in phi2 0.456 * [taylor]: Taking taylor expansion of 0 in phi2 0.459 * [taylor]: Taking taylor expansion of 0 in phi2 0.464 * [taylor]: Taking taylor expansion of 0 in phi2 0.465 * * * [progress]: simplifying candidates 0.466 * [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)) 0.471 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.475 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.488 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.522 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.525 * [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)) 0.526 * * * [progress]: adding candidates to table 0.825 * * [progress]: iteration 2 / 4 0.825 * * * [progress]: picking best candidate 0.880 * * * * [pick]: Picked # 0.880 * * * [progress]: localizing error 0.918 * * * [progress]: generating rewritten candidates 0.918 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.919 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.922 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.926 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 0.954 * * * [progress]: generating series expansions 0.954 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.955 * [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 0.955 * [taylor]: Taking taylor 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 0.955 * [taylor]: Taking taylor 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 0.956 * [taylor]: Taking taylor 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 0.956 * [taylor]: Taking taylor 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 0.956 * [taylor]: Taking taylor 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 0.957 * [taylor]: Taking taylor 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 0.957 * [taylor]: Taking taylor 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 0.957 * [taylor]: Taking taylor 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 0.958 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.958 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda1 0.958 * [taylor]: Taking taylor expansion of 0 in lambda2 0.959 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.959 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.962 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.963 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in phi2 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in phi2 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.964 * [taylor]: Taking taylor expansion of 0 in lambda1 0.964 * [taylor]: Taking taylor expansion of 0 in lambda2 0.965 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.965 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.966 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.966 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.967 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.967 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 0.968 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 0.968 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 0.969 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in phi2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in phi2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in lambda1 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.971 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.971 * [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 0.971 * [taylor]: Taking 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 0.971 * [taylor]: Taking taylor 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 0.971 * [taylor]: Taking taylor expansion of R in R 0.971 * [taylor]: Taking 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 0.971 * [taylor]: Taking taylor 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 0.972 * [taylor]: Taking taylor expansion of R in lambda2 0.972 * [taylor]: Taking 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 0.972 * [taylor]: Taking taylor 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 0.972 * [taylor]: Taking taylor expansion of R in lambda1 0.972 * [taylor]: Taking 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 0.972 * [taylor]: Taking taylor 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 0.973 * [taylor]: Taking taylor expansion of R in phi2 0.973 * [taylor]: Taking 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 0.973 * [taylor]: Taking taylor 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 0.973 * [taylor]: Taking taylor expansion of R in phi1 0.973 * [taylor]: Taking 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 0.973 * [taylor]: Taking taylor 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 0.973 * [taylor]: Taking taylor expansion of R in phi1 0.974 * [taylor]: Taking 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 0.974 * [taylor]: Taking taylor 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 0.974 * [taylor]: Taking taylor expansion of R in phi2 0.975 * [taylor]: Taking 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 0.975 * [taylor]: Taking taylor 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 0.975 * [taylor]: Taking taylor expansion of R in lambda1 0.975 * [taylor]: Taking 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 0.975 * [taylor]: Taking taylor 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 0.976 * [taylor]: Taking taylor expansion of R in lambda2 0.976 * [taylor]: Taking 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 0.976 * [taylor]: Taking taylor 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 0.976 * [taylor]: Taking taylor expansion of R in R 0.977 * [taylor]: Taking taylor expansion of 0 in phi2 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 0.978 * [taylor]: Taking taylor expansion of 0 in lambda1 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 lambda2 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.978 * [taylor]: Taking taylor expansion of 0 in R 0.980 * [taylor]: Taking taylor expansion of 0 in phi2 0.980 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.981 * [taylor]: Taking taylor expansion of 0 in lambda1 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.981 * [taylor]: Taking taylor expansion of 0 in lambda2 0.981 * [taylor]: Taking taylor expansion of 0 in R 0.982 * [taylor]: Taking taylor expansion of 0 in lambda2 0.982 * [taylor]: Taking taylor expansion of 0 in R 0.983 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.983 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.983 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.984 * [taylor]: Taking taylor expansion of R in R 0.984 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.985 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.985 * [taylor]: Taking taylor expansion of R in lambda2 0.986 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.986 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.986 * [taylor]: Taking taylor expansion of R in lambda1 0.987 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.987 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.987 * [taylor]: Taking taylor expansion of R in phi2 0.988 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.988 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.988 * [taylor]: Taking taylor expansion of R in phi1 0.989 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 0.989 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.989 * [taylor]: Taking taylor expansion of R in phi1 0.990 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 0.990 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.990 * [taylor]: Taking taylor expansion of R in phi2 0.991 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 0.991 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.991 * [taylor]: Taking taylor expansion of R in lambda1 0.992 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 0.992 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.992 * [taylor]: Taking taylor expansion of R in lambda2 0.993 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.993 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.994 * [taylor]: Taking taylor expansion of R in R 0.996 * [taylor]: Taking taylor expansion of 0 in phi2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.997 * [taylor]: Taking taylor expansion of 0 in lambda2 0.997 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [taylor]: Taking taylor expansion of 0 in phi2 1.000 * [taylor]: Taking taylor expansion of 0 in lambda1 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.000 * [taylor]: Taking taylor expansion of 0 in lambda1 1.000 * [taylor]: Taking taylor expansion of 0 in lambda2 1.000 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in lambda1 1.001 * [taylor]: Taking taylor expansion of 0 in lambda2 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in lambda2 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in lambda2 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in lambda2 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.002 * [taylor]: Taking taylor expansion of 0 in R 1.009 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.009 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.009 * [taylor]: Taking taylor expansion of -1 in R 1.009 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.009 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.009 * [taylor]: Taking taylor expansion of R in R 1.010 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.010 * [taylor]: Taking taylor expansion of -1 in lambda2 1.010 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.010 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.010 * [taylor]: Taking taylor expansion of R in lambda2 1.011 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.011 * [taylor]: Taking taylor expansion of -1 in lambda1 1.011 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.011 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.011 * [taylor]: Taking taylor expansion of R in lambda1 1.012 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.012 * [taylor]: Taking taylor expansion of -1 in phi2 1.012 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.012 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.012 * [taylor]: Taking taylor expansion of R in phi2 1.013 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.013 * [taylor]: Taking taylor expansion of -1 in phi1 1.013 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.013 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.013 * [taylor]: Taking taylor expansion of R in phi1 1.014 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 1.014 * [taylor]: Taking taylor expansion of -1 in phi1 1.014 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 1.014 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 1.014 * [taylor]: Taking taylor expansion of R in phi1 1.016 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 1.016 * [taylor]: Taking taylor expansion of -1 in phi2 1.016 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 1.016 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 1.016 * [taylor]: Taking taylor expansion of R in phi2 1.017 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 1.017 * [taylor]: Taking taylor expansion of -1 in lambda1 1.017 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 1.017 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 1.018 * [taylor]: Taking taylor expansion of R in lambda1 1.019 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 1.019 * [taylor]: Taking taylor expansion of -1 in lambda2 1.019 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 1.019 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 1.019 * [taylor]: Taking taylor expansion of R in lambda2 1.020 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 1.020 * [taylor]: Taking taylor expansion of -1 in R 1.020 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 1.020 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 1.021 * [taylor]: Taking taylor expansion of R in R 1.024 * [taylor]: Taking taylor expansion of 0 in phi2 1.024 * [taylor]: Taking taylor expansion of 0 in lambda1 1.024 * [taylor]: Taking taylor expansion of 0 in lambda2 1.024 * [taylor]: Taking taylor expansion of 0 in R 1.026 * [taylor]: Taking taylor expansion of 0 in lambda1 1.026 * [taylor]: Taking taylor expansion of 0 in lambda2 1.026 * [taylor]: Taking taylor expansion of 0 in R 1.027 * [taylor]: Taking taylor expansion of 0 in lambda2 1.027 * [taylor]: Taking taylor expansion of 0 in R 1.029 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [taylor]: Taking taylor expansion of 0 in phi2 1.032 * [taylor]: Taking taylor expansion of 0 in lambda1 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.032 * [taylor]: Taking taylor expansion of 0 in R 1.032 * [taylor]: Taking taylor expansion of 0 in lambda1 1.032 * [taylor]: Taking taylor expansion of 0 in lambda2 1.033 * [taylor]: Taking taylor expansion of 0 in R 1.034 * [taylor]: Taking taylor expansion of 0 in lambda1 1.034 * [taylor]: Taking taylor expansion of 0 in lambda2 1.034 * [taylor]: Taking taylor expansion of 0 in R 1.034 * [taylor]: Taking taylor expansion of 0 in lambda2 1.034 * [taylor]: Taking taylor expansion of 0 in R 1.034 * [taylor]: Taking taylor expansion of 0 in lambda2 1.034 * [taylor]: Taking taylor expansion of 0 in R 1.036 * [taylor]: Taking taylor expansion of 0 in lambda2 1.036 * [taylor]: Taking taylor expansion of 0 in R 1.036 * [taylor]: Taking taylor expansion of 0 in R 1.036 * [taylor]: Taking taylor expansion of 0 in R 1.036 * [taylor]: Taking taylor expansion of 0 in R 1.038 * [taylor]: Taking taylor expansion of 0 in R 1.041 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.042 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.042 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.042 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.042 * [taylor]: Taking taylor expansion of phi1 in phi2 1.042 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.042 * [taylor]: Taking taylor expansion of phi2 in phi2 1.042 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.042 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.042 * [taylor]: Taking taylor expansion of phi1 in phi1 1.042 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.042 * [taylor]: Taking taylor expansion of phi2 in phi1 1.042 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.042 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.042 * [taylor]: Taking taylor expansion of phi1 in phi1 1.042 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.042 * [taylor]: Taking taylor expansion of phi2 in phi1 1.042 * [taylor]: Taking taylor expansion of 0 in phi2 1.044 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.044 * [taylor]: Taking taylor expansion of phi2 in phi2 1.048 * [taylor]: Taking taylor expansion of 0 in phi2 1.052 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.052 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.052 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.052 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.052 * [taylor]: Taking taylor expansion of phi2 in phi2 1.058 * [taylor]: Taking taylor expansion of 0 in phi2 1.059 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.059 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.059 * [taylor]: Taking taylor expansion of phi1 in phi2 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.059 * [taylor]: Taking taylor expansion of phi2 in phi2 1.059 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.059 * [taylor]: Taking taylor expansion of phi1 in phi1 1.059 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.059 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.059 * [taylor]: Taking taylor expansion of phi2 in phi1 1.060 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.060 * [taylor]: Taking taylor expansion of phi1 in phi1 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.060 * [taylor]: Taking taylor expansion of phi2 in phi1 1.060 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.060 * [taylor]: Taking taylor expansion of phi1 in phi2 1.060 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.060 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.060 * [taylor]: Taking taylor expansion of phi2 in phi2 1.063 * [taylor]: Taking taylor expansion of 0 in phi2 1.066 * [taylor]: Taking taylor expansion of 0 in phi2 1.072 * [taylor]: Taking taylor expansion of 0 in phi2 1.072 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.072 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.072 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.072 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.072 * [taylor]: Taking taylor expansion of -1 in phi2 1.072 * [taylor]: Taking taylor expansion of phi1 in phi2 1.072 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.072 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.072 * [taylor]: Taking taylor expansion of -1 in phi2 1.072 * [taylor]: Taking taylor expansion of phi2 in phi2 1.072 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.073 * [taylor]: Taking taylor expansion of -1 in phi1 1.073 * [taylor]: Taking taylor expansion of phi1 in phi1 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.073 * [taylor]: Taking taylor expansion of -1 in phi1 1.073 * [taylor]: Taking taylor expansion of phi2 in phi1 1.073 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.073 * [taylor]: Taking taylor expansion of -1 in phi1 1.073 * [taylor]: Taking taylor expansion of phi1 in phi1 1.073 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.073 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.073 * [taylor]: Taking taylor expansion of -1 in phi1 1.073 * [taylor]: Taking taylor expansion of phi2 in phi1 1.074 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.074 * [taylor]: Taking taylor expansion of -1 in phi2 1.074 * [taylor]: Taking taylor expansion of phi1 in phi2 1.074 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.074 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.074 * [taylor]: Taking taylor expansion of -1 in phi2 1.074 * [taylor]: Taking taylor expansion of phi2 in phi2 1.076 * [taylor]: Taking taylor expansion of 0 in phi2 1.080 * [taylor]: Taking taylor expansion of 0 in phi2 1.085 * [taylor]: Taking taylor expansion of 0 in phi2 1.085 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.086 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.086 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda2 1.086 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.086 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.086 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda2 1.086 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.086 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.086 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda2 1.086 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda2 1.086 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.086 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.086 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.086 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.086 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.086 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.086 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.087 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.087 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.087 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.087 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.087 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.087 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.087 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.087 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.087 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.087 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.087 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.087 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi2 1.087 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.087 * [taylor]: Taking taylor expansion of phi1 in phi2 1.087 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 1.087 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.087 * [taylor]: Taking taylor expansion of phi2 in phi2 1.087 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 1.087 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.087 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.087 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.087 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.087 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.087 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 1.087 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.087 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.088 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 1.088 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 1.088 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.088 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 1.088 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.088 * [taylor]: Taking taylor expansion of phi1 in phi1 1.088 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 1.088 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.088 * [taylor]: Taking taylor expansion of phi2 in phi1 1.088 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 1.088 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.088 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.088 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.088 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.088 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.088 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 1.088 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.088 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.088 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 1.088 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 1.088 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.088 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) in phi1 1.088 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.088 * [taylor]: Taking taylor expansion of phi1 in phi1 1.088 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi1 1.088 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.088 * [taylor]: Taking taylor expansion of phi2 in phi1 1.088 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi1 1.088 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi1 1.088 * [taylor]: Taking taylor expansion of (cos lambda1) in phi1 1.088 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.088 * [taylor]: Taking taylor expansion of (cos lambda2) in phi1 1.088 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.088 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi1 1.088 * [taylor]: Taking taylor expansion of (sin lambda1) in phi1 1.088 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.089 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi1 1.089 * [taylor]: Taking taylor expansion of (- lambda2) in phi1 1.089 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.094 * [taylor]: Taking taylor expansion of (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) in phi2 1.094 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.094 * [taylor]: Taking taylor expansion of phi2 in phi2 1.094 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in phi2 1.094 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in phi2 1.094 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.094 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.094 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.094 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.094 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in phi2 1.094 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.094 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.094 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 1.094 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 1.094 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.096 * [taylor]: Taking taylor expansion of (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.096 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.096 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.096 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.096 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.096 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.096 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.097 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.097 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.106 * [taylor]: Taking taylor expansion of 0 in phi2 1.106 * [taylor]: Taking taylor expansion of 0 in lambda1 1.106 * [taylor]: Taking taylor expansion of 0 in lambda2 1.114 * [taylor]: Taking taylor expansion of 0 in lambda1 1.114 * [taylor]: Taking taylor expansion of 0 in lambda2 1.119 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.119 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.119 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.119 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.132 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2))))) in phi2 1.132 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (* (cos phi2) (sin (- lambda2))))) in phi2 1.132 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.132 * [taylor]: Taking taylor expansion of (* (sin lambda1) (* (cos phi2) (sin (- lambda2)))) in phi2 1.132 * [taylor]: Taking taylor expansion of (sin lambda1) in phi2 1.132 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.132 * [taylor]: Taking taylor expansion of (* (cos phi2) (sin (- lambda2))) in phi2 1.132 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.132 * [taylor]: Taking taylor expansion of phi2 in phi2 1.133 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in phi2 1.133 * [taylor]: Taking taylor expansion of (- lambda2) in phi2 1.133 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.133 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (* (cos phi2) (cos lambda2)))) in phi2 1.133 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.133 * [taylor]: Taking taylor expansion of (* (cos lambda1) (* (cos phi2) (cos lambda2))) in phi2 1.133 * [taylor]: Taking taylor expansion of (cos lambda1) in phi2 1.133 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.133 * [taylor]: Taking taylor expansion of (* (cos phi2) (cos lambda2)) in phi2 1.133 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.133 * [taylor]: Taking taylor expansion of phi2 in phi2 1.133 * [taylor]: Taking taylor expansion of (cos lambda2) in phi2 1.133 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.134 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 1.134 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.134 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.134 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.134 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.134 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.134 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.134 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.134 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.134 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.134 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.134 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.135 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.135 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.135 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.135 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.135 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.136 * [taylor]: Taking taylor expansion of 0 in lambda1 1.136 * [taylor]: Taking taylor expansion of 0 in lambda2 1.146 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sin lambda1) (sin (- lambda2)))) (* 1/2 (* (cos lambda1) (cos lambda2)))) in lambda1 1.146 * [taylor]: Taking taylor expansion of (* 1/2 (* (sin lambda1) (sin (- lambda2)))) in lambda1 1.146 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.146 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.146 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.146 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.146 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.146 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.146 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.147 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos lambda1) (cos lambda2))) in lambda1 1.147 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.147 * [taylor]: Taking taylor expansion of (* (cos lambda1) (cos lambda2)) in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos lambda1) in lambda1 1.147 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.147 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda1 1.147 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.148 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos lambda2))) in lambda2 1.148 * [taylor]: Taking taylor expansion of (* 1/2 (cos lambda2)) in lambda2 1.148 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.148 * [taylor]: Taking taylor expansion of (cos lambda2) in lambda2 1.148 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.149 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 1.149 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.149 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.149 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 1.149 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.149 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.149 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.149 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 1.149 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.149 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.149 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.149 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.149 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.149 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.149 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.150 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.150 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.150 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.150 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.150 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.150 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.150 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.150 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.150 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 1.150 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.151 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.151 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.151 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.151 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.151 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.151 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.151 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.151 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.151 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.151 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.151 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.151 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.151 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.151 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.152 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.152 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.152 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.152 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.152 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.152 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.152 * [taylor]: Taking taylor expansion of phi2 in phi2 1.152 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.152 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.152 * [taylor]: Taking taylor expansion of phi1 in phi2 1.152 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 1.152 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.152 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.152 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.152 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.152 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.152 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.153 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 1.153 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.153 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.153 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.153 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 1.153 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 1.153 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.153 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.153 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.153 * [taylor]: Taking taylor expansion of phi2 in phi1 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.153 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.153 * [taylor]: Taking taylor expansion of phi1 in phi1 1.153 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 1.153 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.153 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.153 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.154 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.154 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.154 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.154 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.154 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 1.154 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.154 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.154 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.154 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 1.154 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 1.154 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.154 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi1 1.154 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.154 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.154 * [taylor]: Taking taylor expansion of phi2 in phi1 1.154 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi1 1.154 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.154 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.154 * [taylor]: Taking taylor expansion of phi1 in phi1 1.155 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi1 1.155 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi1 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi1 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.155 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.155 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi1 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.155 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.155 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi1 1.155 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi1 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.155 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.155 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi1 1.155 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi1 1.155 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.155 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.157 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in phi2 1.157 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.157 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.157 * [taylor]: Taking taylor expansion of phi2 in phi2 1.158 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in phi2 1.158 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.158 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.158 * [taylor]: Taking taylor expansion of phi1 in phi2 1.158 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in phi2 1.158 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in phi2 1.158 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in phi2 1.158 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.158 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.158 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in phi2 1.158 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.158 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.158 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in phi2 1.158 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in phi2 1.158 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.158 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.158 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in phi2 1.158 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in phi2 1.158 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.158 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.161 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda1 1.161 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.161 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.161 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.161 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda1 1.161 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.161 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.161 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.161 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda1 1.161 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda1 1.161 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda1 1.161 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.161 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.161 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda1 1.161 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.161 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.161 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.161 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.161 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.161 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.162 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.162 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.162 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.162 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.164 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))))) in lambda2 1.164 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.164 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.164 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.164 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi1)) (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))))) in lambda2 1.164 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.164 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.164 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.164 * [taylor]: Taking taylor expansion of (- (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2))))) in lambda2 1.164 * [taylor]: Taking taylor expansion of (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1))) in lambda2 1.164 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda2)) in lambda2 1.164 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.164 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.165 * [taylor]: Taking taylor expansion of (cos (/ 1 lambda1)) in lambda2 1.165 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.165 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.165 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.165 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.165 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.165 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.165 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.165 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.165 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.165 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.177 * [taylor]: Taking taylor expansion of 0 in phi2 1.177 * [taylor]: Taking taylor expansion of 0 in lambda1 1.177 * [taylor]: Taking taylor expansion of 0 in lambda2 1.192 * [taylor]: Taking taylor expansion of 0 in lambda1 1.192 * [taylor]: Taking taylor expansion of 0 in lambda2 1.200 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of 0 in phi2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda1 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [taylor]: Taking taylor expansion of 0 in lambda1 1.221 * [taylor]: Taking taylor expansion of 0 in lambda2 1.221 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.222 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.222 * [taylor]: Taking taylor expansion of -1 in lambda2 1.222 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.222 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 1.222 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 1.222 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.222 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.222 * [taylor]: Taking taylor expansion of -1 in lambda2 1.222 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.222 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.222 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.222 * [taylor]: Taking taylor expansion of -1 in lambda2 1.222 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.222 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.222 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.222 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.222 * [taylor]: Taking taylor expansion of -1 in lambda2 1.222 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.222 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.222 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.222 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.223 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.223 * [taylor]: Taking taylor expansion of -1 in lambda2 1.223 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.223 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.223 * [taylor]: Taking taylor expansion of -1 in lambda1 1.223 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.223 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.223 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.223 * [taylor]: Taking taylor expansion of -1 in lambda1 1.223 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.224 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.224 * [taylor]: Taking taylor expansion of -1 in lambda1 1.224 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.224 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.224 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.224 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.224 * [taylor]: Taking taylor expansion of -1 in lambda1 1.224 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.224 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.224 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.224 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.224 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.224 * [taylor]: Taking taylor expansion of -1 in lambda1 1.224 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.224 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 1.224 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.224 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.224 * [taylor]: Taking taylor expansion of -1 in phi2 1.224 * [taylor]: Taking taylor expansion of phi1 in phi2 1.224 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 1.224 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 1.225 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.225 * [taylor]: Taking taylor expansion of -1 in phi2 1.225 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.225 * [taylor]: Taking taylor expansion of -1 in phi2 1.225 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.225 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.225 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.225 * [taylor]: Taking taylor expansion of -1 in phi2 1.225 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.225 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.225 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.225 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.225 * [taylor]: Taking taylor expansion of -1 in phi2 1.225 * [taylor]: Taking taylor expansion of phi2 in phi2 1.225 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 1.225 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.225 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.225 * [taylor]: Taking taylor expansion of -1 in phi1 1.226 * [taylor]: Taking taylor expansion of phi1 in phi1 1.226 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 1.226 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 1.226 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.226 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.226 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.226 * [taylor]: Taking taylor expansion of -1 in phi1 1.226 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.226 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.226 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.226 * [taylor]: Taking taylor expansion of -1 in phi1 1.226 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.226 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.226 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.226 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.226 * [taylor]: Taking taylor expansion of -1 in phi1 1.226 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.226 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.226 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.226 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.226 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.226 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.226 * [taylor]: Taking taylor expansion of -1 in phi1 1.227 * [taylor]: Taking taylor expansion of phi2 in phi1 1.227 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi1 1.227 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.227 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.227 * [taylor]: Taking taylor expansion of -1 in phi1 1.227 * [taylor]: Taking taylor expansion of phi1 in phi1 1.227 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi1 1.227 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi1 1.227 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi1 1.227 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi1 1.227 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.227 * [taylor]: Taking taylor expansion of -1 in phi1 1.227 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.227 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi1 1.227 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi1 1.227 * [taylor]: Taking taylor expansion of -1 in phi1 1.227 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.227 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi1 1.227 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi1 1.227 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi1 1.227 * [taylor]: Taking taylor expansion of -1 in phi1 1.227 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.227 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi1 1.227 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.228 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.228 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.228 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.228 * [taylor]: Taking taylor expansion of -1 in phi1 1.228 * [taylor]: Taking taylor expansion of phi2 in phi1 1.230 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in phi2 1.230 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.230 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.230 * [taylor]: Taking taylor expansion of -1 in phi2 1.230 * [taylor]: Taking taylor expansion of phi1 in phi2 1.230 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in phi2 1.230 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in phi2 1.230 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in phi2 1.230 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in phi2 1.230 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.230 * [taylor]: Taking taylor expansion of -1 in phi2 1.230 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.230 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in phi2 1.230 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in phi2 1.230 * [taylor]: Taking taylor expansion of -1 in phi2 1.230 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.230 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in phi2 1.230 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in phi2 1.230 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in phi2 1.230 * [taylor]: Taking taylor expansion of -1 in phi2 1.230 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.230 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in phi2 1.230 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.230 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.231 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.231 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.231 * [taylor]: Taking taylor expansion of -1 in phi2 1.231 * [taylor]: Taking taylor expansion of phi2 in phi2 1.233 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda1 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.233 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.233 * [taylor]: Taking taylor expansion of -1 in lambda1 1.233 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.233 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda1 1.233 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda1 1.233 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda1 1.233 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda1 1.233 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.233 * [taylor]: Taking taylor expansion of -1 in lambda1 1.233 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.234 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda1 1.234 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.234 * [taylor]: Taking taylor expansion of -1 in lambda1 1.234 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.234 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.234 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.234 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.234 * [taylor]: Taking taylor expansion of -1 in lambda1 1.234 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.234 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.234 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.234 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.234 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.234 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.234 * [taylor]: Taking taylor expansion of -1 in lambda1 1.234 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.236 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2)))) in lambda2 1.236 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.236 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.236 * [taylor]: Taking taylor expansion of -1 in lambda2 1.236 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.236 * [taylor]: Taking taylor expansion of (* (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) (cos (/ -1 phi2))) in lambda2 1.236 * [taylor]: Taking taylor expansion of (- (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2)))) in lambda2 1.236 * [taylor]: Taking taylor expansion of (* (cos (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 1.236 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda1)) in lambda2 1.236 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.237 * [taylor]: Taking taylor expansion of -1 in lambda2 1.237 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.237 * [taylor]: Taking taylor expansion of (cos (/ -1 lambda2)) in lambda2 1.237 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.237 * [taylor]: Taking taylor expansion of -1 in lambda2 1.237 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.237 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.237 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.237 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.237 * [taylor]: Taking taylor expansion of -1 in lambda2 1.237 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.237 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.237 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.237 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.237 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.238 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.238 * [taylor]: Taking taylor expansion of -1 in lambda2 1.238 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.249 * [taylor]: Taking taylor expansion of 0 in phi2 1.249 * [taylor]: Taking taylor expansion of 0 in lambda1 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.258 * [taylor]: Taking taylor expansion of 0 in lambda1 1.258 * [taylor]: Taking taylor expansion of 0 in lambda2 1.266 * [taylor]: Taking taylor expansion of 0 in lambda2 1.291 * [taylor]: Taking taylor expansion of 0 in phi2 1.291 * [taylor]: Taking taylor expansion of 0 in lambda1 1.291 * [taylor]: Taking taylor expansion of 0 in lambda2 1.291 * [taylor]: Taking taylor expansion of 0 in lambda1 1.291 * [taylor]: Taking taylor expansion of 0 in lambda2 1.291 * * * [progress]: simplifying candidates 1.293 * [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 (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (log1p (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (+ (+ (log (cos phi1)) (log (cos phi2))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (+ (log (* (cos phi1) (cos phi2))) (log (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (log (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (exp (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (sqrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (sqrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) (* 2 2) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))))) (* 2 (* 2 2)) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* 2 (+ (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (+ (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))))) (* 2 (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (fma (cos lambda1) (cos lambda2) (- (* (sin (- lambda2)) (sin lambda1))))) (* (* (cos phi1) (cos phi2)) (fma (- (sin (- lambda2))) (sin lambda1) (* (sin (- lambda2)) (sin lambda1)))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (- (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (cos phi1) (cos phi2)) (- (* (sin lambda1) (sin (- lambda2))))) (* (fma (cos lambda1) (cos lambda2) (- (* (sin (- lambda2)) (sin lambda1)))) (* (cos phi1) (cos phi2))) (* (fma (- (sin (- lambda2))) (sin lambda1) (* (sin (- lambda2)) (sin lambda1))) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (- (* (sin lambda1) (sin (- lambda2)))) (* (cos phi1) (cos phi2))) (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (- (* (sin lambda1) (sin (- lambda2)))) (* (cos phi1) (cos phi2))) (* (* (cos phi1) (cos phi2)) (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (* (cos phi1) (cos phi2)) (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (cos phi1) (cos phi2)) 1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (* (* (cos phi1) (cos phi2)) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) (* (* (cos phi1) (cos phi2)) (- (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))))) (* (* (cos phi1) (cos phi2)) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (* (cos phi1) (cos phi2)) (- (* (* (cos lambda1) (cos lambda2)) (* (cos lambda1) (cos lambda2))) (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (* (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 phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (- 1 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (* (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (* -1 lambda2)))) (cos phi2))) 1.301 * * [simplify]: iteration 0 : 525 enodes (cost 1615 ) 1.310 * * [simplify]: iteration 1 : 2180 enodes (cost 1377 ) 1.351 * * [simplify]: iteration 2 : 5002 enodes (cost 1374 ) 1.357 * [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 (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (log1p (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (log (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (log (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (log (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (exp (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (pow (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) 3) (pow (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) 3) (* (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (cbrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (pow (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) 3) (sqrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (sqrt (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))))) 4 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) 2) (* 2 (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))))) 8 (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (fma (* (cos lambda1) (cos lambda1)) (* (* (cos lambda2) (cos lambda2)) 2) (* (* 2 (* (sin lambda1) (sin (* -1 lambda2)))) (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin (- lambda2)))))) (* (* (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2)))) (* (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin (- lambda2)))) 2) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (sin lambda1) (+ (sin lambda2) (sin (- lambda2)))) (cos phi2)) (cos phi1)) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda2)) (sin lambda1)) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (* (* (sin lambda1) (+ (sin lambda2) (sin (- lambda2)))) (cos phi2)) (cos phi1)) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))) (* (* (* (cos phi1) (cos phi2)) (sin lambda2)) (sin lambda1)) (* (* (cos phi1) (cos phi2)) (* (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (cbrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (* (cos phi1) (cos phi2)) (sqrt (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (cos phi2)) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (+ (* (+ (* (cos phi2) (cos (- lambda1 lambda2))) (* (cos phi2) 0)) (cos phi1)) (* (* (cos phi2) (cos (- lambda1 lambda2))) (cos phi1))) (* (* (cos phi1) (cos phi2)) (* 2 (- (+ (cos (+ lambda1 lambda2)) (cos (- lambda1 lambda2))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2))))))) (* (* (cos phi1) (cos phi2)) (- (pow (* (cos lambda1) (cos lambda2)) 3) (pow (* (sin lambda1) (sin (- lambda2))) 3))) (* (cos phi1) (* (cos phi2) (* (fma (cos lambda1) (cos lambda2) (* (sin lambda1) (sin (- lambda2)))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (fma (- 1/2) (fma phi1 phi1 (pow phi2 2)) 1) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) (* (cos phi1) (* (cos phi2) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))) 1.357 * * * [progress]: adding candidates to table 1.810 * * [progress]: iteration 3 / 4 1.810 * * * [progress]: picking best candidate 1.899 * * * * [pick]: Picked # 1.899 * * * [progress]: localizing error 1.937 * * * [progress]: generating rewritten candidates 1.937 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.938 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.940 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 1.943 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 1.948 * * * [progress]: generating series expansions 1.948 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.948 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.948 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.948 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.948 * [taylor]: Taking taylor expansion of phi1 in phi2 1.948 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.948 * [taylor]: Taking taylor expansion of phi2 in phi2 1.948 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.948 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.948 * [taylor]: Taking taylor expansion of phi1 in phi1 1.948 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.948 * [taylor]: Taking taylor expansion of phi2 in phi1 1.948 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.948 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.948 * [taylor]: Taking taylor expansion of phi1 in phi1 1.948 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.948 * [taylor]: Taking taylor expansion of phi2 in phi1 1.949 * [taylor]: Taking taylor expansion of 0 in phi2 1.951 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.951 * [taylor]: Taking taylor expansion of phi2 in phi2 1.954 * [taylor]: Taking taylor expansion of 0 in phi2 1.958 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.958 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.958 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.958 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.958 * [taylor]: Taking taylor expansion of phi2 in phi2 1.964 * [taylor]: Taking taylor expansion of 0 in phi2 1.965 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.965 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.965 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.965 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.965 * [taylor]: Taking taylor expansion of phi1 in phi2 1.965 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.965 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.965 * [taylor]: Taking taylor expansion of phi2 in phi2 1.965 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.965 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.965 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.965 * [taylor]: Taking taylor expansion of phi1 in phi1 1.966 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.966 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.966 * [taylor]: Taking taylor expansion of phi2 in phi1 1.966 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.966 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.966 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.966 * [taylor]: Taking taylor expansion of phi1 in phi1 1.966 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.966 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.966 * [taylor]: Taking taylor expansion of phi2 in phi1 1.966 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.966 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.967 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.967 * [taylor]: Taking taylor expansion of phi1 in phi2 1.967 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.967 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.967 * [taylor]: Taking taylor expansion of phi2 in phi2 1.969 * [taylor]: Taking taylor expansion of 0 in phi2 1.973 * [taylor]: Taking taylor expansion of 0 in phi2 1.978 * [taylor]: Taking taylor expansion of 0 in phi2 1.979 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.979 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.979 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.979 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.979 * [taylor]: Taking taylor expansion of -1 in phi2 1.979 * [taylor]: Taking taylor expansion of phi1 in phi2 1.979 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.979 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.979 * [taylor]: Taking taylor expansion of -1 in phi2 1.979 * [taylor]: Taking taylor expansion of phi2 in phi2 1.979 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.979 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.979 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.979 * [taylor]: Taking taylor expansion of -1 in phi1 1.979 * [taylor]: Taking taylor expansion of phi1 in phi1 1.980 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.980 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.980 * [taylor]: Taking taylor expansion of -1 in phi1 1.980 * [taylor]: Taking taylor expansion of phi2 in phi1 1.980 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.980 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.980 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.980 * [taylor]: Taking taylor expansion of -1 in phi1 1.980 * [taylor]: Taking taylor expansion of phi1 in phi1 1.980 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.980 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.980 * [taylor]: Taking taylor expansion of -1 in phi1 1.980 * [taylor]: Taking taylor expansion of phi2 in phi1 1.981 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.981 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.981 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.981 * [taylor]: Taking taylor expansion of -1 in phi2 1.981 * [taylor]: Taking taylor expansion of phi1 in phi2 1.981 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.981 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.981 * [taylor]: Taking taylor expansion of -1 in phi2 1.981 * [taylor]: Taking taylor expansion of phi2 in phi2 1.983 * [taylor]: Taking taylor expansion of 0 in phi2 1.987 * [taylor]: Taking taylor expansion of 0 in phi2 1.996 * [taylor]: Taking taylor expansion of 0 in phi2 1.997 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.997 * [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 1.997 * [taylor]: Taking taylor 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 1.998 * [taylor]: Taking taylor 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 1.998 * [taylor]: Taking taylor 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 1.998 * [taylor]: Taking taylor 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 1.999 * [taylor]: Taking taylor 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 1.999 * [taylor]: Taking taylor 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 1.999 * [taylor]: Taking taylor 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 2.000 * [taylor]: Taking taylor 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 2.001 * [taylor]: Taking taylor expansion of 0 in phi2 2.001 * [taylor]: Taking taylor expansion of 0 in lambda1 2.001 * [taylor]: Taking taylor expansion of 0 in lambda2 2.001 * [taylor]: Taking taylor expansion of 0 in lambda1 2.001 * [taylor]: Taking taylor expansion of 0 in lambda2 2.001 * [taylor]: Taking taylor expansion of 0 in lambda2 2.001 * [taylor]: Taking taylor expansion of 0 in phi2 2.001 * [taylor]: Taking taylor expansion of 0 in lambda1 2.001 * [taylor]: Taking taylor expansion of 0 in lambda2 2.001 * [taylor]: Taking taylor expansion of 0 in lambda1 2.001 * [taylor]: Taking taylor expansion of 0 in lambda2 2.002 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.002 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.002 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.003 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.003 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.004 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.004 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.005 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.005 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.006 * [taylor]: Taking taylor expansion of 0 in phi2 2.006 * [taylor]: Taking taylor expansion of 0 in lambda1 2.006 * [taylor]: Taking taylor expansion of 0 in lambda2 2.006 * [taylor]: Taking taylor expansion of 0 in lambda1 2.006 * [taylor]: Taking taylor expansion of 0 in lambda2 2.007 * [taylor]: Taking taylor expansion of 0 in lambda2 2.007 * [taylor]: Taking taylor expansion of 0 in phi2 2.007 * [taylor]: Taking taylor expansion of 0 in lambda1 2.007 * [taylor]: Taking taylor expansion of 0 in lambda2 2.007 * [taylor]: Taking taylor expansion of 0 in lambda1 2.007 * [taylor]: Taking taylor expansion of 0 in lambda2 2.008 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.008 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.008 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.009 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.009 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.010 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.010 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.011 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.011 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.012 * [taylor]: Taking taylor expansion of 0 in phi2 2.012 * [taylor]: Taking taylor expansion of 0 in lambda1 2.012 * [taylor]: Taking taylor expansion of 0 in lambda2 2.012 * [taylor]: Taking taylor expansion of 0 in lambda1 2.013 * [taylor]: Taking taylor expansion of 0 in lambda2 2.013 * [taylor]: Taking taylor expansion of 0 in lambda2 2.013 * [taylor]: Taking taylor expansion of 0 in phi2 2.013 * [taylor]: Taking taylor expansion of 0 in lambda1 2.013 * [taylor]: Taking taylor expansion of 0 in lambda2 2.013 * [taylor]: Taking taylor expansion of 0 in lambda1 2.013 * [taylor]: Taking taylor expansion of 0 in lambda2 2.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.014 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in (phi1 phi2) around 0 2.014 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi2 2.014 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.014 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.014 * [taylor]: Taking taylor expansion of phi1 in phi2 2.014 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.014 * [taylor]: Taking taylor expansion of phi2 in phi2 2.016 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.016 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.016 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.016 * [taylor]: Taking taylor expansion of phi1 in phi1 2.016 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.016 * [taylor]: Taking taylor expansion of phi2 in phi1 2.019 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.019 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.019 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.019 * [taylor]: Taking taylor expansion of phi1 in phi1 2.019 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.019 * [taylor]: Taking taylor expansion of phi2 in phi1 2.022 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.022 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.022 * [taylor]: Taking taylor expansion of phi2 in phi2 2.026 * [taylor]: Taking taylor expansion of 0 in phi2 2.032 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin phi2) 3))) in phi2 2.032 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin phi2) 3)) in phi2 2.032 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.032 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.032 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.032 * [taylor]: Taking taylor expansion of phi2 in phi2 2.036 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in (phi1 phi2) around 0 2.036 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi2 2.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.036 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.036 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.036 * [taylor]: Taking taylor expansion of phi1 in phi2 2.036 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.036 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.036 * [taylor]: Taking taylor expansion of phi2 in phi2 2.036 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.036 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.036 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.036 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.036 * [taylor]: Taking taylor expansion of phi1 in phi1 2.037 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.037 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.037 * [taylor]: Taking taylor expansion of phi2 in phi1 2.037 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.037 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.037 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.037 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.037 * [taylor]: Taking taylor expansion of phi1 in phi1 2.037 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.037 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.037 * [taylor]: Taking taylor expansion of phi2 in phi1 2.038 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) in phi2 2.038 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi2 2.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.038 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.038 * [taylor]: Taking taylor expansion of phi1 in phi2 2.038 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 2.038 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.038 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.038 * [taylor]: Taking taylor expansion of phi2 in phi2 2.041 * [taylor]: Taking taylor expansion of 0 in phi2 2.046 * [taylor]: Taking taylor expansion of 0 in phi2 2.054 * [taylor]: Taking taylor expansion of 0 in phi2 2.055 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in (phi1 phi2) around 0 2.055 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi2 2.055 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.055 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.055 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.055 * [taylor]: Taking taylor expansion of -1 in phi2 2.055 * [taylor]: Taking taylor expansion of phi1 in phi2 2.055 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.055 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.055 * [taylor]: Taking taylor expansion of -1 in phi2 2.055 * [taylor]: Taking taylor expansion of phi2 in phi2 2.056 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.056 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.056 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.056 * [taylor]: Taking taylor expansion of -1 in phi1 2.056 * [taylor]: Taking taylor expansion of phi1 in phi1 2.056 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.056 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.056 * [taylor]: Taking taylor expansion of -1 in phi1 2.056 * [taylor]: Taking taylor expansion of phi2 in phi1 2.056 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.056 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.056 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.056 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.056 * [taylor]: Taking taylor expansion of -1 in phi1 2.056 * [taylor]: Taking taylor expansion of phi1 in phi1 2.057 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.057 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.057 * [taylor]: Taking taylor expansion of -1 in phi1 2.057 * [taylor]: Taking taylor expansion of phi2 in phi1 2.057 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi2 2.057 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi2 2.057 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.057 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.057 * [taylor]: Taking taylor expansion of -1 in phi2 2.057 * [taylor]: Taking taylor expansion of phi1 in phi2 2.058 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 2.058 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.058 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.058 * [taylor]: Taking taylor expansion of -1 in phi2 2.058 * [taylor]: Taking taylor expansion of phi2 in phi2 2.061 * [taylor]: Taking taylor expansion of 0 in phi2 2.066 * [taylor]: Taking taylor expansion of 0 in phi2 2.074 * [taylor]: Taking taylor expansion of 0 in phi2 2.074 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.075 * [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 2.075 * [taylor]: Taking 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 2.075 * [taylor]: Taking taylor 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 2.075 * [taylor]: Taking taylor expansion of R in R 2.075 * [taylor]: Taking 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 2.075 * [taylor]: Taking taylor 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 2.076 * [taylor]: Taking taylor expansion of R in lambda2 2.076 * [taylor]: Taking 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 2.076 * [taylor]: Taking taylor 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 2.076 * [taylor]: Taking taylor expansion of R in lambda1 2.076 * [taylor]: Taking 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 2.076 * [taylor]: Taking taylor 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 2.080 * [taylor]: Taking taylor expansion of R in phi2 2.080 * [taylor]: Taking 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 2.080 * [taylor]: Taking taylor 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 2.081 * [taylor]: Taking taylor expansion of R in phi1 2.081 * [taylor]: Taking 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 2.081 * [taylor]: Taking taylor 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 2.081 * [taylor]: Taking taylor expansion of R in phi1 2.082 * [taylor]: Taking 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 2.082 * [taylor]: Taking taylor 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 2.082 * [taylor]: Taking taylor expansion of R in phi2 2.082 * [taylor]: Taking 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 2.082 * [taylor]: Taking taylor 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 2.083 * [taylor]: Taking taylor expansion of R in lambda1 2.083 * [taylor]: Taking 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 2.083 * [taylor]: Taking taylor 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 2.084 * [taylor]: Taking taylor expansion of R in lambda2 2.084 * [taylor]: Taking 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 2.084 * [taylor]: Taking taylor 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 2.084 * [taylor]: Taking taylor expansion of R in R 2.085 * [taylor]: Taking taylor expansion of 0 in phi2 2.085 * [taylor]: Taking taylor expansion of 0 in lambda1 2.085 * [taylor]: Taking taylor expansion of 0 in lambda2 2.085 * [taylor]: Taking taylor expansion of 0 in R 2.086 * [taylor]: Taking taylor expansion of 0 in lambda1 2.086 * [taylor]: Taking taylor expansion of 0 in lambda2 2.086 * [taylor]: Taking taylor expansion of 0 in R 2.086 * [taylor]: Taking taylor expansion of 0 in lambda2 2.086 * [taylor]: Taking taylor expansion of 0 in R 2.086 * [taylor]: Taking taylor expansion of 0 in R 2.088 * [taylor]: Taking taylor expansion of 0 in phi2 2.089 * [taylor]: Taking taylor expansion of 0 in lambda1 2.089 * [taylor]: Taking taylor expansion of 0 in lambda2 2.089 * [taylor]: Taking taylor expansion of 0 in R 2.089 * [taylor]: Taking taylor expansion of 0 in lambda1 2.089 * [taylor]: Taking taylor expansion of 0 in lambda2 2.089 * [taylor]: Taking taylor expansion of 0 in R 2.089 * [taylor]: Taking taylor expansion of 0 in lambda1 2.089 * [taylor]: Taking taylor expansion of 0 in lambda2 2.089 * [taylor]: Taking taylor expansion of 0 in R 2.089 * [taylor]: Taking taylor expansion of 0 in lambda2 2.089 * [taylor]: Taking taylor expansion of 0 in R 2.089 * [taylor]: Taking taylor expansion of 0 in lambda2 2.090 * [taylor]: Taking taylor expansion of 0 in R 2.090 * [taylor]: Taking taylor expansion of 0 in lambda2 2.090 * [taylor]: Taking taylor expansion of 0 in R 2.092 * [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)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.092 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.092 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.092 * [taylor]: Taking taylor expansion of R in R 2.093 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.093 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.093 * [taylor]: Taking taylor expansion of R in lambda2 2.094 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.094 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.094 * [taylor]: Taking taylor expansion of R in lambda1 2.095 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.095 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.095 * [taylor]: Taking taylor expansion of R in phi2 2.096 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.096 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.096 * [taylor]: Taking taylor expansion of R in phi1 2.097 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.097 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.097 * [taylor]: Taking taylor expansion of R in phi1 2.098 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.098 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.098 * [taylor]: Taking taylor expansion of R in phi2 2.099 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.099 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.099 * [taylor]: Taking taylor expansion of R in lambda1 2.100 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.100 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.101 * [taylor]: Taking taylor expansion of R in lambda2 2.101 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.101 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.102 * [taylor]: Taking taylor expansion of R in R 2.104 * [taylor]: Taking taylor expansion of 0 in phi2 2.104 * [taylor]: Taking taylor expansion of 0 in lambda1 2.104 * [taylor]: Taking taylor expansion of 0 in lambda2 2.104 * [taylor]: Taking taylor expansion of 0 in R 2.104 * [taylor]: Taking taylor expansion of 0 in lambda1 2.104 * [taylor]: Taking taylor expansion of 0 in lambda2 2.104 * [taylor]: Taking taylor expansion of 0 in R 2.105 * [taylor]: Taking taylor expansion of 0 in lambda2 2.105 * [taylor]: Taking taylor expansion of 0 in R 2.106 * [taylor]: Taking taylor expansion of 0 in R 2.108 * [taylor]: Taking taylor expansion of 0 in phi2 2.108 * [taylor]: Taking taylor expansion of 0 in lambda1 2.108 * [taylor]: Taking taylor expansion of 0 in lambda2 2.108 * [taylor]: Taking taylor expansion of 0 in R 2.108 * [taylor]: Taking taylor expansion of 0 in lambda1 2.108 * [taylor]: Taking taylor expansion of 0 in lambda2 2.108 * [taylor]: Taking taylor expansion of 0 in R 2.109 * [taylor]: Taking taylor expansion of 0 in lambda1 2.109 * [taylor]: Taking taylor expansion of 0 in lambda2 2.109 * [taylor]: Taking taylor expansion of 0 in R 2.109 * [taylor]: Taking taylor expansion of 0 in lambda2 2.109 * [taylor]: Taking taylor expansion of 0 in R 2.109 * [taylor]: Taking taylor expansion of 0 in lambda2 2.109 * [taylor]: Taking taylor expansion of 0 in R 2.110 * [taylor]: Taking taylor expansion of 0 in lambda2 2.110 * [taylor]: Taking taylor expansion of 0 in R 2.110 * [taylor]: Taking taylor expansion of 0 in R 2.110 * [taylor]: Taking taylor expansion of 0 in R 2.110 * [taylor]: Taking taylor expansion of 0 in R 2.110 * [taylor]: Taking taylor expansion of 0 in R 2.114 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.114 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.114 * [taylor]: Taking taylor expansion of -1 in R 2.114 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.114 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.114 * [taylor]: Taking taylor expansion of R in R 2.115 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.115 * [taylor]: Taking taylor expansion of -1 in lambda2 2.115 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.115 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.115 * [taylor]: Taking taylor expansion of R in lambda2 2.116 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.116 * [taylor]: Taking taylor expansion of -1 in lambda1 2.116 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.116 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.116 * [taylor]: Taking taylor expansion of R in lambda1 2.117 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.117 * [taylor]: Taking taylor expansion of -1 in phi2 2.117 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.117 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.117 * [taylor]: Taking taylor expansion of R in phi2 2.118 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.118 * [taylor]: Taking taylor expansion of -1 in phi1 2.118 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.118 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.119 * [taylor]: Taking taylor expansion of R in phi1 2.119 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.119 * [taylor]: Taking taylor expansion of -1 in phi1 2.119 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.119 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.120 * [taylor]: Taking taylor expansion of R in phi1 2.121 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.121 * [taylor]: Taking taylor expansion of -1 in phi2 2.121 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.121 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.121 * [taylor]: Taking taylor expansion of R in phi2 2.122 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.122 * [taylor]: Taking taylor expansion of -1 in lambda1 2.122 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.122 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.123 * [taylor]: Taking taylor expansion of R in lambda1 2.124 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.124 * [taylor]: Taking taylor expansion of -1 in lambda2 2.124 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.124 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.124 * [taylor]: Taking taylor expansion of R in lambda2 2.125 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.125 * [taylor]: Taking taylor expansion of -1 in R 2.125 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.125 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.126 * [taylor]: Taking taylor expansion of R in R 2.129 * [taylor]: Taking taylor expansion of 0 in phi2 2.129 * [taylor]: Taking taylor expansion of 0 in lambda1 2.129 * [taylor]: Taking taylor expansion of 0 in lambda2 2.129 * [taylor]: Taking taylor expansion of 0 in R 2.131 * [taylor]: Taking taylor expansion of 0 in lambda1 2.131 * [taylor]: Taking taylor expansion of 0 in lambda2 2.131 * [taylor]: Taking taylor expansion of 0 in R 2.133 * [taylor]: Taking taylor expansion of 0 in lambda2 2.133 * [taylor]: Taking taylor expansion of 0 in R 2.134 * [taylor]: Taking taylor expansion of 0 in R 2.138 * [taylor]: Taking taylor expansion of 0 in phi2 2.138 * [taylor]: Taking taylor expansion of 0 in lambda1 2.138 * [taylor]: Taking taylor expansion of 0 in lambda2 2.138 * [taylor]: Taking taylor expansion of 0 in R 2.138 * [taylor]: Taking taylor expansion of 0 in lambda1 2.138 * [taylor]: Taking taylor expansion of 0 in lambda2 2.138 * [taylor]: Taking taylor expansion of 0 in R 2.140 * [taylor]: Taking taylor expansion of 0 in lambda1 2.140 * [taylor]: Taking taylor expansion of 0 in lambda2 2.140 * [taylor]: Taking taylor expansion of 0 in R 2.140 * [taylor]: Taking taylor expansion of 0 in lambda2 2.140 * [taylor]: Taking taylor expansion of 0 in R 2.140 * [taylor]: Taking taylor expansion of 0 in lambda2 2.140 * [taylor]: Taking taylor expansion of 0 in R 2.142 * [taylor]: Taking taylor expansion of 0 in lambda2 2.142 * [taylor]: Taking taylor expansion of 0 in R 2.142 * [taylor]: Taking taylor expansion of 0 in R 2.142 * [taylor]: Taking taylor expansion of 0 in R 2.142 * [taylor]: Taking taylor expansion of 0 in R 2.143 * [taylor]: Taking taylor expansion of 0 in R 2.147 * * * [progress]: simplifying candidates 2.148 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log1p (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (exp (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (* (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (expm1 (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (pow (* (sin phi1) (sin phi2)) 3)) (log1p (pow (* (sin phi1) (sin phi2)) 3)) (* (+ (log (sin phi1)) (log (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* 1 3) (* 1 3) (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (pow (* (sin phi1) (sin phi2)) 1) (pow (sin phi1) 3) (pow (sin phi2) 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) (pow 2 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (expm1 (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (- (* (pow phi2 3) (pow phi1 3)) (+ (* 1/2 (* (pow phi2 5) (pow phi1 3))) (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 2.155 * * [simplify]: iteration 0 : 309 enodes (cost 1181 ) 2.160 * * [simplify]: iteration 1 : 1076 enodes (cost 1041 ) 2.186 * * [simplify]: iteration 2 : 5001 enodes (cost 1028 ) 2.190 * [simplify]: Simplified to: (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log1p (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (sin phi1) (sin phi2) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (* (sin phi1) (sin phi2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2 (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 1/2) (pow (* (sin phi1) (sin phi2)) 1/2) (expm1 (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (pow (* (sin phi1) (sin phi2)) 3)) (log1p (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) 3 3 (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (* (sin phi1) (sin phi2)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (* (sin phi1) (sin phi2)) 2) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)) (pow (pow (* (sin phi1) (sin phi2)) 3) 3) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) 8 (pow (* (sin phi1) (sin phi2)) 2) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3/2) (pow (* (sin phi1) (sin phi2)) 3/2) (expm1 (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (log (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (* (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (fma (pow phi1 3) (- (pow phi2 3) (* 1/2 (pow phi2 5))) (- (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 2.191 * * * [progress]: adding candidates to table 2.645 * * [progress]: iteration 4 / 4 2.645 * * * [progress]: picking best candidate 2.732 * * * * [pick]: Picked # 2.732 * * * [progress]: localizing error 2.773 * * * [progress]: generating rewritten candidates 2.773 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 1) 2.775 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.775 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 1) 2.778 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.783 * * * [progress]: generating series expansions 2.783 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 1) 2.783 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.783 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.783 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.783 * [taylor]: Taking taylor expansion of phi1 in phi2 2.783 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.783 * [taylor]: Taking taylor expansion of phi2 in phi2 2.783 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.783 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.783 * [taylor]: Taking taylor expansion of phi1 in phi1 2.783 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.783 * [taylor]: Taking taylor expansion of phi2 in phi1 2.783 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.783 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.783 * [taylor]: Taking taylor expansion of phi1 in phi1 2.783 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.783 * [taylor]: Taking taylor expansion of phi2 in phi1 2.784 * [taylor]: Taking taylor expansion of 0 in phi2 2.786 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.786 * [taylor]: Taking taylor expansion of phi2 in phi2 2.789 * [taylor]: Taking taylor expansion of 0 in phi2 2.793 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.793 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.793 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.793 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.793 * [taylor]: Taking taylor expansion of phi2 in phi2 2.803 * [taylor]: Taking taylor expansion of 0 in phi2 2.804 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.804 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.804 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.804 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.804 * [taylor]: Taking taylor expansion of phi1 in phi2 2.804 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.804 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.804 * [taylor]: Taking taylor expansion of phi2 in phi2 2.804 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.804 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.804 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.804 * [taylor]: Taking taylor expansion of phi1 in phi1 2.804 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.804 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.804 * [taylor]: Taking taylor expansion of phi2 in phi1 2.805 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.805 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.805 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.805 * [taylor]: Taking taylor expansion of phi1 in phi1 2.805 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.805 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.805 * [taylor]: Taking taylor expansion of phi2 in phi1 2.805 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.805 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.805 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.805 * [taylor]: Taking taylor expansion of phi1 in phi2 2.805 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.805 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.805 * [taylor]: Taking taylor expansion of phi2 in phi2 2.808 * [taylor]: Taking taylor expansion of 0 in phi2 2.811 * [taylor]: Taking taylor expansion of 0 in phi2 2.817 * [taylor]: Taking taylor expansion of 0 in phi2 2.817 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.817 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.817 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.817 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.817 * [taylor]: Taking taylor expansion of -1 in phi2 2.817 * [taylor]: Taking taylor expansion of phi1 in phi2 2.817 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.817 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.818 * [taylor]: Taking taylor expansion of -1 in phi2 2.818 * [taylor]: Taking taylor expansion of phi2 in phi2 2.818 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.818 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.818 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.818 * [taylor]: Taking taylor expansion of -1 in phi1 2.818 * [taylor]: Taking taylor expansion of phi1 in phi1 2.818 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.818 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.818 * [taylor]: Taking taylor expansion of -1 in phi1 2.818 * [taylor]: Taking taylor expansion of phi2 in phi1 2.819 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.819 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.819 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.819 * [taylor]: Taking taylor expansion of -1 in phi1 2.819 * [taylor]: Taking taylor expansion of phi1 in phi1 2.819 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.819 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.819 * [taylor]: Taking taylor expansion of -1 in phi1 2.819 * [taylor]: Taking taylor expansion of phi2 in phi1 2.819 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.819 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.819 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.819 * [taylor]: Taking taylor expansion of -1 in phi2 2.819 * [taylor]: Taking taylor expansion of phi1 in phi2 2.819 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.819 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.820 * [taylor]: Taking taylor expansion of -1 in phi2 2.820 * [taylor]: Taking taylor expansion of phi2 in phi2 2.822 * [taylor]: Taking taylor expansion of 0 in phi2 2.826 * [taylor]: Taking taylor expansion of 0 in phi2 2.831 * [taylor]: Taking taylor expansion of 0 in phi2 2.831 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.832 * [approximate]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (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 2.832 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.832 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.833 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.833 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.833 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.834 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.834 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.835 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.835 * [taylor]: Taking taylor expansion of 0 in phi2 2.835 * [taylor]: Taking taylor expansion of 0 in lambda1 2.835 * [taylor]: Taking taylor expansion of 0 in lambda2 2.835 * [taylor]: Taking taylor expansion of 0 in lambda1 2.836 * [taylor]: Taking taylor expansion of 0 in lambda2 2.836 * [taylor]: Taking taylor expansion of 0 in lambda2 2.836 * [taylor]: Taking taylor expansion of 0 in phi2 2.836 * [taylor]: Taking taylor expansion of 0 in lambda1 2.836 * [taylor]: Taking taylor expansion of 0 in lambda2 2.836 * [taylor]: Taking taylor expansion of 0 in lambda1 2.836 * [taylor]: Taking taylor expansion of 0 in lambda2 2.837 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.837 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.837 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.838 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.838 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.839 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.839 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.840 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.840 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.842 * [taylor]: Taking taylor expansion of 0 in phi2 2.842 * [taylor]: Taking taylor expansion of 0 in lambda1 2.842 * [taylor]: Taking taylor expansion of 0 in lambda2 2.842 * [taylor]: Taking taylor expansion of 0 in lambda1 2.842 * [taylor]: Taking taylor expansion of 0 in lambda2 2.842 * [taylor]: Taking taylor expansion of 0 in lambda2 2.842 * [taylor]: Taking taylor expansion of 0 in phi2 2.842 * [taylor]: Taking taylor expansion of 0 in lambda1 2.842 * [taylor]: Taking taylor expansion of 0 in lambda2 2.842 * [taylor]: Taking taylor expansion of 0 in lambda1 2.842 * [taylor]: Taking taylor expansion of 0 in lambda2 2.843 * [approximate]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.843 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.844 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.844 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.845 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.845 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.846 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.846 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.847 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in phi2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda1 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda1 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in phi2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda1 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.848 * [taylor]: Taking taylor expansion of 0 in lambda1 2.848 * [taylor]: Taking taylor expansion of 0 in lambda2 2.849 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1 1) 2.849 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in (phi1 phi2) around 0 2.849 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi2 2.849 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.849 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.849 * [taylor]: Taking taylor expansion of phi1 in phi2 2.849 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.849 * [taylor]: Taking taylor expansion of phi2 in phi2 2.852 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.852 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.852 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.852 * [taylor]: Taking taylor expansion of phi1 in phi1 2.852 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.852 * [taylor]: Taking taylor expansion of phi2 in phi1 2.854 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.854 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.854 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.854 * [taylor]: Taking taylor expansion of phi1 in phi1 2.854 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.854 * [taylor]: Taking taylor expansion of phi2 in phi1 2.857 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.857 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.857 * [taylor]: Taking taylor expansion of phi2 in phi2 2.860 * [taylor]: Taking taylor expansion of 0 in phi2 2.866 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin phi2) 3))) in phi2 2.866 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin phi2) 3)) in phi2 2.866 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.866 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.866 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.866 * [taylor]: Taking taylor expansion of phi2 in phi2 2.870 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in (phi1 phi2) around 0 2.870 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi2 2.870 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.870 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.870 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.870 * [taylor]: Taking taylor expansion of phi1 in phi2 2.871 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.871 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.871 * [taylor]: Taking taylor expansion of phi2 in phi2 2.871 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.871 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.871 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.871 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.871 * [taylor]: Taking taylor expansion of phi1 in phi1 2.871 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.871 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.871 * [taylor]: Taking taylor expansion of phi2 in phi1 2.872 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.872 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.872 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.872 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.872 * [taylor]: Taking taylor expansion of phi1 in phi1 2.872 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.872 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.872 * [taylor]: Taking taylor expansion of phi2 in phi1 2.873 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) in phi2 2.873 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi2 2.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.873 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.873 * [taylor]: Taking taylor expansion of phi1 in phi2 2.873 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 2.873 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.873 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.873 * [taylor]: Taking taylor expansion of phi2 in phi2 2.876 * [taylor]: Taking taylor expansion of 0 in phi2 2.882 * [taylor]: Taking taylor expansion of 0 in phi2 2.894 * [taylor]: Taking taylor expansion of 0 in phi2 2.895 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in (phi1 phi2) around 0 2.895 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi2 2.895 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.895 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.895 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.895 * [taylor]: Taking taylor expansion of -1 in phi2 2.895 * [taylor]: Taking taylor expansion of phi1 in phi2 2.895 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.895 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.895 * [taylor]: Taking taylor expansion of -1 in phi2 2.895 * [taylor]: Taking taylor expansion of phi2 in phi2 2.896 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.896 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.896 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.896 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.896 * [taylor]: Taking taylor expansion of -1 in phi1 2.896 * [taylor]: Taking taylor expansion of phi1 in phi1 2.896 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.896 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.896 * [taylor]: Taking taylor expansion of -1 in phi1 2.896 * [taylor]: Taking taylor expansion of phi2 in phi1 2.896 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.896 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.896 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.896 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.896 * [taylor]: Taking taylor expansion of -1 in phi1 2.896 * [taylor]: Taking taylor expansion of phi1 in phi1 2.897 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.897 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.897 * [taylor]: Taking taylor expansion of -1 in phi1 2.897 * [taylor]: Taking taylor expansion of phi2 in phi1 2.897 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi2 2.897 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi2 2.897 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.898 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.898 * [taylor]: Taking taylor expansion of -1 in phi2 2.898 * [taylor]: Taking taylor expansion of phi1 in phi2 2.898 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 2.898 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.898 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.898 * [taylor]: Taking taylor expansion of -1 in phi2 2.898 * [taylor]: Taking taylor expansion of phi2 in phi2 2.901 * [taylor]: Taking taylor expansion of 0 in phi2 2.906 * [taylor]: Taking taylor expansion of 0 in phi2 2.915 * [taylor]: Taking taylor expansion of 0 in phi2 2.915 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.916 * [approximate]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (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 2.916 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.916 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.916 * [taylor]: Taking taylor expansion of R in R 2.916 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.916 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.917 * [taylor]: Taking taylor expansion of R in lambda2 2.917 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.917 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.917 * [taylor]: Taking taylor expansion of R in lambda1 2.917 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.917 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.917 * [taylor]: Taking taylor expansion of R in phi2 2.918 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.918 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.918 * [taylor]: Taking taylor expansion of R in phi1 2.918 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 2.918 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 2.918 * [taylor]: Taking taylor expansion of R in phi1 2.919 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 2.919 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 2.919 * [taylor]: Taking taylor expansion of R in phi2 2.920 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 2.920 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 2.920 * [taylor]: Taking taylor expansion of R in lambda1 2.920 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 2.920 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 2.921 * [taylor]: Taking taylor expansion of R in lambda2 2.921 * [taylor]: Taking taylor expansion of (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 2.921 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 2.922 * [taylor]: Taking taylor expansion of R in R 2.923 * [taylor]: Taking taylor expansion of 0 in phi2 2.923 * [taylor]: Taking taylor expansion of 0 in lambda1 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in R 2.923 * [taylor]: Taking taylor expansion of 0 in lambda1 2.923 * [taylor]: Taking taylor expansion of 0 in lambda2 2.923 * [taylor]: Taking taylor expansion of 0 in R 2.924 * [taylor]: Taking taylor expansion of 0 in lambda2 2.924 * [taylor]: Taking taylor expansion of 0 in R 2.924 * [taylor]: Taking taylor expansion of 0 in R 2.926 * [taylor]: Taking taylor expansion of 0 in phi2 2.926 * [taylor]: Taking taylor expansion of 0 in lambda1 2.926 * [taylor]: Taking taylor expansion of 0 in lambda2 2.926 * [taylor]: Taking taylor expansion of 0 in R 2.926 * [taylor]: Taking taylor expansion of 0 in lambda1 2.926 * [taylor]: Taking taylor expansion of 0 in lambda2 2.926 * [taylor]: Taking taylor expansion of 0 in R 2.927 * [taylor]: Taking taylor expansion of 0 in lambda1 2.927 * [taylor]: Taking taylor expansion of 0 in lambda2 2.927 * [taylor]: Taking taylor expansion of 0 in R 2.927 * [taylor]: Taking taylor expansion of 0 in lambda2 2.927 * [taylor]: Taking taylor expansion of 0 in R 2.927 * [taylor]: Taking taylor expansion of 0 in lambda2 2.927 * [taylor]: Taking taylor expansion of 0 in R 2.928 * [taylor]: Taking taylor expansion of 0 in lambda2 2.928 * [taylor]: Taking taylor expansion of 0 in R 2.929 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.929 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.929 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.930 * [taylor]: Taking taylor expansion of R in R 2.930 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.930 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.931 * [taylor]: Taking taylor expansion of R in lambda2 2.932 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.932 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.932 * [taylor]: Taking taylor expansion of R in lambda1 2.933 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.933 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.933 * [taylor]: Taking taylor expansion of R in phi2 2.934 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.934 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.934 * [taylor]: Taking taylor expansion of R in phi1 2.935 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi1 2.935 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 2.935 * [taylor]: Taking taylor expansion of R in phi1 2.936 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in phi2 2.936 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 2.936 * [taylor]: Taking taylor expansion of R in phi2 2.937 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda1 2.937 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 2.937 * [taylor]: Taking taylor expansion of R in lambda1 2.938 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 2.938 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 2.939 * [taylor]: Taking taylor expansion of R in lambda2 2.939 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 2.939 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (log1p (expm1 (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 2.940 * [taylor]: Taking taylor expansion of R in R 2.941 * [taylor]: Taking taylor expansion of 0 in phi2 2.942 * [taylor]: Taking taylor expansion of 0 in lambda1 2.942 * [taylor]: Taking taylor expansion of 0 in lambda2 2.942 * [taylor]: Taking taylor expansion of 0 in R 2.942 * [taylor]: Taking taylor expansion of 0 in lambda1 2.942 * [taylor]: Taking taylor expansion of 0 in lambda2 2.942 * [taylor]: Taking taylor expansion of 0 in R 2.943 * [taylor]: Taking taylor expansion of 0 in lambda2 2.943 * [taylor]: Taking taylor expansion of 0 in R 2.944 * [taylor]: Taking taylor expansion of 0 in R 2.946 * [taylor]: Taking taylor expansion of 0 in phi2 2.946 * [taylor]: Taking taylor expansion of 0 in lambda1 2.946 * [taylor]: Taking taylor expansion of 0 in lambda2 2.946 * [taylor]: Taking taylor expansion of 0 in R 2.946 * [taylor]: Taking taylor expansion of 0 in lambda1 2.946 * [taylor]: Taking taylor expansion of 0 in lambda2 2.946 * [taylor]: Taking taylor expansion of 0 in R 2.946 * [taylor]: Taking taylor expansion of 0 in lambda1 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in R 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in R 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in R 2.947 * [taylor]: Taking taylor expansion of 0 in lambda2 2.947 * [taylor]: Taking taylor expansion of 0 in R 2.947 * [taylor]: Taking taylor expansion of 0 in R 2.948 * [taylor]: Taking taylor expansion of 0 in R 2.948 * [taylor]: Taking taylor expansion of 0 in R 2.948 * [taylor]: Taking taylor expansion of 0 in R 2.952 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 2.952 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.952 * [taylor]: Taking taylor expansion of -1 in R 2.952 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.952 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.953 * [taylor]: Taking taylor expansion of R in R 2.953 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.953 * [taylor]: Taking taylor expansion of -1 in lambda2 2.953 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.953 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.954 * [taylor]: Taking taylor expansion of R in lambda2 2.954 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.954 * [taylor]: Taking taylor expansion of -1 in lambda1 2.954 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.954 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.955 * [taylor]: Taking taylor expansion of R in lambda1 2.955 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.955 * [taylor]: Taking taylor expansion of -1 in phi2 2.955 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.955 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.956 * [taylor]: Taking taylor expansion of R in phi2 2.956 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.957 * [taylor]: Taking taylor expansion of -1 in phi1 2.957 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.957 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.957 * [taylor]: Taking taylor expansion of R in phi1 2.958 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi1 2.958 * [taylor]: Taking taylor expansion of -1 in phi1 2.958 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi1 2.958 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi1 2.958 * [taylor]: Taking taylor expansion of R in phi1 2.959 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in phi2 2.959 * [taylor]: Taking taylor expansion of -1 in phi2 2.959 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in phi2 2.959 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in phi2 2.960 * [taylor]: Taking taylor expansion of R in phi2 2.961 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda1 2.961 * [taylor]: Taking taylor expansion of -1 in lambda1 2.961 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda1 2.961 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda1 2.961 * [taylor]: Taking taylor expansion of R in lambda1 2.962 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in lambda2 2.962 * [taylor]: Taking taylor expansion of -1 in lambda2 2.962 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in lambda2 2.963 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in lambda2 2.963 * [taylor]: Taking taylor expansion of R in lambda2 2.964 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R)) in R 2.964 * [taylor]: Taking taylor expansion of -1 in R 2.964 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) R) in R 2.964 * [taylor]: Taking taylor expansion of (acos (- (+ (log1p (expm1 (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))) (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ -1 phi2))))))) in R 2.965 * [taylor]: Taking taylor expansion of R in R 2.968 * [taylor]: Taking taylor expansion of 0 in phi2 2.968 * [taylor]: Taking taylor expansion of 0 in lambda1 2.968 * [taylor]: Taking taylor expansion of 0 in lambda2 2.968 * [taylor]: Taking taylor expansion of 0 in R 2.970 * [taylor]: Taking taylor expansion of 0 in lambda1 2.970 * [taylor]: Taking taylor expansion of 0 in lambda2 2.970 * [taylor]: Taking taylor expansion of 0 in R 2.971 * [taylor]: Taking taylor expansion of 0 in lambda2 2.971 * [taylor]: Taking taylor expansion of 0 in R 2.973 * [taylor]: Taking taylor expansion of 0 in R 2.980 * [taylor]: Taking taylor expansion of 0 in phi2 2.980 * [taylor]: Taking taylor expansion of 0 in lambda1 2.980 * [taylor]: Taking taylor expansion of 0 in lambda2 2.980 * [taylor]: Taking taylor expansion of 0 in R 2.980 * [taylor]: Taking taylor expansion of 0 in lambda1 2.980 * [taylor]: Taking taylor expansion of 0 in lambda2 2.980 * [taylor]: Taking taylor expansion of 0 in R 2.982 * [taylor]: Taking taylor expansion of 0 in lambda1 2.982 * [taylor]: Taking taylor expansion of 0 in lambda2 2.982 * [taylor]: Taking taylor expansion of 0 in R 2.982 * [taylor]: Taking taylor expansion of 0 in lambda2 2.982 * [taylor]: Taking taylor expansion of 0 in R 2.982 * [taylor]: Taking taylor expansion of 0 in lambda2 2.982 * [taylor]: Taking taylor expansion of 0 in R 2.984 * [taylor]: Taking taylor expansion of 0 in lambda2 2.984 * [taylor]: Taking taylor expansion of 0 in R 2.984 * [taylor]: Taking taylor expansion of 0 in R 2.984 * [taylor]: Taking taylor expansion of 0 in R 2.984 * [taylor]: Taking taylor expansion of 0 in R 2.986 * [taylor]: Taking taylor expansion of 0 in R 2.990 * * * [progress]: simplifying candidates 2.991 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log1p (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (exp (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (* (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (expm1 (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (pow (* (sin phi1) (sin phi2)) 3)) (log1p (pow (* (sin phi1) (sin phi2)) 3)) (* (+ (log (sin phi1)) (log (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* 1 3) (* 1 3) (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (pow (* (sin phi1) (sin phi2)) 1) (pow (sin phi1) 3) (pow (sin phi2) 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) (pow 2 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (expm1 (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (- (* (pow phi2 3) (pow phi1 3)) (+ (* 1/2 (* (pow phi2 5) (pow phi1 3))) (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) (* (acos (- (+ (log1p (expm1 (* (sin phi1) (sin phi2)))) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 2.998 * * [simplify]: iteration 0 : 311 enodes (cost 1267 ) 3.003 * * [simplify]: iteration 1 : 1073 enodes (cost 1115 ) 3.028 * * [simplify]: iteration 2 : 5002 enodes (cost 1102 ) 3.032 * [simplify]: Simplified to: (expm1 (* (sin phi1) (sin phi2))) (log1p (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (log (* (sin phi1) (sin phi2))) (pow (exp (sin phi1)) (sin phi2)) (sin phi1) (sin phi2) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (* (sin phi1) (sin phi2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2 (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 1/2) (pow (* (sin phi1) (sin phi2)) 1/2) (expm1 (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (pow (* (sin phi1) (sin phi2)) 3)) (log1p (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) 3 3 (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (* (sin phi1) (sin phi2)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (* (sin phi1) (sin phi2)) 2) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)) (pow (pow (* (sin phi1) (sin phi2)) 3) 3) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) 8 (pow (* (sin phi1) (sin phi2)) 2) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3/2) (pow (* (sin phi1) (sin phi2)) 3/2) (expm1 (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (log (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (* (cbrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (sqrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (fma (pow phi1 3) (- (pow phi2 3) (* 1/2 (pow phi2 5))) (- (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log1p (expm1 (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3.033 * * * [progress]: adding candidates to table 3.519 * [progress]: [Phase 3 of 3] Extracting. 3.519 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 3.544 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.544 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # #) 3.646 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # #) 3.748 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # #) 3.853 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # #) 3.956 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # #) 4.058 * * * [regime]: Found split indices: #