11.791 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.286 * * * [progress]: [2/2] Setting up program. 0.290 * [progress]: [Phase 2 of 3] Improving. 0.290 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.292 * * [simplify]: iteration 0 : 27 enodes (cost 12 ) 0.294 * * [simplify]: iteration 1 : 39 enodes (cost 12 ) 0.295 * * [simplify]: iteration 2 : 44 enodes (cost 12 ) 0.297 * * [simplify]: iteration 3 : 45 enodes (cost 12 ) 0.298 * * [simplify]: iteration 4 : 45 enodes (cost 12 ) 0.298 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.298 * * [progress]: iteration 1 / 4 0.298 * * * [progress]: picking best candidate 0.302 * * * * [pick]: Picked # 0.302 * * * [progress]: localizing error 0.326 * * * [progress]: generating rewritten candidates 0.326 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.333 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.334 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.337 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.343 * * * [progress]: generating series expansions 0.343 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.343 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.343 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.343 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.343 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.344 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.344 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.344 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.344 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.344 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.345 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.345 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.345 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.347 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.347 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.347 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.347 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.351 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.351 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.351 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.351 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.351 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.351 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.353 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.353 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.353 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.353 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.353 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.358 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.358 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.358 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.359 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.359 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.359 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.359 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.360 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.360 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.360 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [taylor]: Taking taylor expansion of 0 in lambda2 0.361 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.361 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.361 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.361 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.361 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.361 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.362 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.362 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 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 (/ 1 lambda1) in lambda1 0.362 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.363 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.363 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 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 (/ 1 lambda1) in lambda1 0.363 * [taylor]: Taking taylor expansion of lambda1 in lambda1 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 0.364 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.364 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * [taylor]: Taking taylor expansion of 0 in lambda2 0.365 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.365 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.365 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.366 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.367 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in phi2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.367 * [taylor]: Taking taylor expansion of 0 in lambda1 0.367 * [taylor]: Taking taylor expansion of 0 in lambda2 0.368 * [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 0.368 * [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 0.368 * [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 0.368 * [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 0.369 * [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 0.369 * [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 0.369 * [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 0.369 * [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 0.370 * [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 0.370 * [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 0.371 * [taylor]: Taking taylor expansion of 0 in lambda1 0.371 * [taylor]: Taking taylor expansion of 0 in lambda2 0.371 * [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 0.371 * [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 0.372 * [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 0.372 * [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 0.372 * [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 0.372 * [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 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in phi2 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.373 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in phi2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in phi2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * [taylor]: Taking taylor expansion of 0 in lambda1 0.374 * [taylor]: Taking taylor expansion of 0 in lambda2 0.374 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.375 * [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 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.375 * [taylor]: Taking taylor expansion of R in R 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.375 * [taylor]: Taking taylor expansion of R in lambda2 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.375 * [taylor]: Taking taylor expansion of R in lambda1 0.375 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.375 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.376 * [taylor]: Taking taylor expansion of R in phi2 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.376 * [taylor]: Taking taylor expansion of R in phi1 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.376 * [taylor]: Taking taylor expansion of R in phi1 0.376 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.376 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.376 * [taylor]: Taking taylor expansion of R in phi2 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.377 * [taylor]: Taking taylor expansion of R in lambda1 0.377 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.377 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.377 * [taylor]: Taking taylor expansion of R in lambda2 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 0 in phi2 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.378 * [taylor]: Taking taylor expansion of 0 in lambda1 0.378 * [taylor]: Taking taylor expansion of 0 in lambda2 0.378 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in lambda2 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.379 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in phi2 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [taylor]: Taking taylor expansion of 0 in R 0.380 * [taylor]: Taking taylor expansion of 0 in lambda1 0.380 * [taylor]: Taking taylor expansion of 0 in lambda2 0.380 * [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 0.381 * [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 lambda2 0.382 * [taylor]: Taking taylor expansion of 0 in R 0.382 * [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 0.383 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of R in R 0.383 * [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 0.383 * [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 0.383 * [taylor]: Taking taylor expansion of R in lambda2 0.384 * [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 0.384 * [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 0.384 * [taylor]: Taking taylor expansion of R in lambda1 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 phi2 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 phi2 0.385 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 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 phi1 0.385 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 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 phi1 0.386 * [taylor]: Taking taylor expansion of R in phi1 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 0.387 * [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 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))))))) in lambda1 0.387 * [taylor]: Taking taylor expansion of R in lambda1 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 lambda2 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 lambda2 0.388 * [taylor]: Taking taylor expansion of R in lambda2 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 R 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 R 0.389 * [taylor]: Taking taylor expansion of R in R 0.390 * [taylor]: Taking taylor expansion of 0 in phi2 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in lambda1 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.390 * [taylor]: Taking taylor expansion of 0 in lambda2 0.390 * [taylor]: Taking taylor expansion of 0 in R 0.391 * [taylor]: Taking taylor expansion of 0 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 lambda1 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 lambda2 0.393 * [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 lambda2 0.393 * [taylor]: Taking taylor expansion of 0 in R 0.393 * [taylor]: Taking taylor expansion of 0 in R 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 R 0.396 * [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 0.396 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in R 0.396 * [taylor]: Taking taylor expansion of -1 in R 0.396 * [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 0.396 * [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 0.396 * [taylor]: Taking taylor expansion of R in R 0.397 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda2 0.397 * [taylor]: Taking taylor expansion of -1 in lambda2 0.397 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda2 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda2 0.397 * [taylor]: Taking taylor expansion of R in lambda2 0.397 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R)) in lambda1 0.397 * [taylor]: Taking taylor expansion of -1 in lambda1 0.397 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) R) in lambda1 0.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2))))) in lambda1 0.397 * [taylor]: Taking taylor expansion of R in lambda1 0.398 * [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 phi2 0.398 * [taylor]: Taking taylor expansion of -1 in phi2 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 phi2 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 phi2 0.398 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 0.398 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.399 * [taylor]: Taking taylor expansion of R in phi1 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 phi1 0.399 * [taylor]: Taking taylor expansion of -1 in phi1 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 phi1 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 phi1 0.399 * [taylor]: Taking taylor expansion of R in phi1 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 0.401 * [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 lambda1 0.401 * [taylor]: Taking taylor expansion of -1 in lambda1 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 lambda1 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 lambda1 0.401 * [taylor]: Taking taylor expansion of R in lambda1 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 lambda2 0.402 * [taylor]: Taking taylor expansion of -1 in lambda2 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 lambda2 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 lambda2 0.402 * [taylor]: Taking taylor expansion of R in lambda2 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of -1 in R 0.403 * [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 0.403 * [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 0.403 * [taylor]: Taking taylor expansion of R in R 0.405 * [taylor]: Taking taylor expansion of 0 in phi2 0.405 * [taylor]: Taking taylor expansion of 0 in lambda1 0.405 * [taylor]: Taking taylor expansion of 0 in lambda2 0.405 * [taylor]: Taking taylor expansion of 0 in R 0.406 * [taylor]: Taking taylor expansion of 0 in lambda1 0.406 * [taylor]: Taking taylor expansion of 0 in lambda2 0.406 * [taylor]: Taking taylor expansion of 0 in R 0.407 * [taylor]: Taking taylor expansion of 0 in lambda2 0.407 * [taylor]: Taking taylor expansion of 0 in R 0.408 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in phi2 0.410 * [taylor]: Taking taylor expansion of 0 in lambda1 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [taylor]: Taking taylor expansion of 0 in R 0.410 * [taylor]: Taking taylor expansion of 0 in lambda1 0.410 * [taylor]: Taking taylor expansion of 0 in lambda2 0.410 * [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 0.412 * [taylor]: Taking taylor expansion of 0 in lambda2 0.412 * [taylor]: Taking taylor expansion of 0 in R 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 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.413 * [taylor]: Taking taylor expansion of 0 in R 0.414 * [taylor]: Taking taylor expansion of 0 in R 0.417 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.417 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.417 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.417 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.417 * [taylor]: Taking taylor expansion of phi1 in phi2 0.417 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.417 * [taylor]: Taking taylor expansion of phi2 in phi2 0.417 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.417 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.417 * [taylor]: Taking taylor expansion of phi1 in phi1 0.417 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.417 * [taylor]: Taking taylor expansion of phi2 in phi1 0.417 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.417 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.417 * [taylor]: Taking taylor expansion of phi1 in phi1 0.417 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.417 * [taylor]: Taking taylor expansion of phi2 in phi1 0.418 * [taylor]: Taking taylor expansion of 0 in phi2 0.420 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.420 * [taylor]: Taking taylor expansion of phi2 in phi2 0.423 * [taylor]: Taking taylor expansion of 0 in phi2 0.427 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.427 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.427 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.427 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.427 * [taylor]: Taking taylor expansion of phi2 in phi2 0.433 * [taylor]: Taking taylor expansion of 0 in phi2 0.433 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.433 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.433 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.433 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.433 * [taylor]: Taking taylor expansion of phi1 in phi2 0.433 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.433 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.433 * [taylor]: Taking taylor expansion of phi2 in phi2 0.433 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.433 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.433 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.433 * [taylor]: Taking taylor expansion of phi1 in phi1 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.434 * [taylor]: Taking taylor expansion of phi2 in phi1 0.434 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.434 * [taylor]: Taking taylor expansion of phi1 in phi1 0.434 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.434 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.434 * [taylor]: Taking taylor expansion of phi2 in phi1 0.435 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.435 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.435 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.435 * [taylor]: Taking taylor expansion of phi1 in phi2 0.435 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.435 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.435 * [taylor]: Taking taylor expansion of phi2 in phi2 0.437 * [taylor]: Taking taylor expansion of 0 in phi2 0.441 * [taylor]: Taking taylor expansion of 0 in phi2 0.450 * [taylor]: Taking taylor expansion of 0 in phi2 0.450 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.450 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.450 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.450 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.450 * [taylor]: Taking taylor expansion of -1 in phi2 0.450 * [taylor]: Taking taylor expansion of phi1 in phi2 0.450 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.450 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.450 * [taylor]: Taking taylor expansion of -1 in phi2 0.450 * [taylor]: Taking taylor expansion of phi2 in phi2 0.450 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.450 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.450 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.450 * [taylor]: Taking taylor expansion of -1 in phi1 0.451 * [taylor]: Taking taylor expansion of phi1 in phi1 0.451 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.451 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.451 * [taylor]: Taking taylor expansion of -1 in phi1 0.451 * [taylor]: Taking taylor expansion of phi2 in phi1 0.451 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.451 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.451 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.451 * [taylor]: Taking taylor expansion of -1 in phi1 0.451 * [taylor]: Taking taylor expansion of phi1 in phi1 0.451 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.451 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.451 * [taylor]: Taking taylor expansion of -1 in phi1 0.451 * [taylor]: Taking taylor expansion of phi2 in phi1 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 0.454 * [taylor]: Taking taylor expansion of 0 in phi2 0.458 * [taylor]: Taking taylor expansion of 0 in phi2 0.463 * [taylor]: Taking taylor expansion of 0 in phi2 0.463 * * * [progress]: simplifying candidates 0.465 * [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)) 0.470 * * [simplify]: iteration 0 : 323 enodes (cost 995 ) 0.475 * * [simplify]: iteration 1 : 789 enodes (cost 819 ) 0.487 * * [simplify]: iteration 2 : 2620 enodes (cost 818 ) 0.522 * * [simplify]: iteration 3 : 5002 enodes (cost 793 ) 0.526 * [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 0.807 * * [progress]: iteration 2 / 4 0.807 * * * [progress]: picking best candidate 0.873 * * * * [pick]: Picked # 0.873 * * * [progress]: localizing error 0.905 * * * [progress]: generating rewritten candidates 0.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.905 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.908 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.912 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.920 * * * [progress]: generating series expansions 0.920 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.920 * [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 0.920 * [taylor]: Taking taylor 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 0.921 * [taylor]: Taking taylor 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 0.921 * [taylor]: Taking taylor 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 0.921 * [taylor]: Taking taylor 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 0.922 * [taylor]: Taking taylor 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 0.922 * [taylor]: Taking taylor 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 0.923 * [taylor]: Taking taylor 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 0.923 * [taylor]: Taking taylor 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 0.924 * [taylor]: Taking taylor expansion of 0 in phi2 0.924 * [taylor]: Taking taylor expansion of 0 in lambda1 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [taylor]: Taking taylor expansion of 0 in lambda1 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [taylor]: Taking taylor expansion of 0 in phi2 0.924 * [taylor]: Taking taylor expansion of 0 in lambda1 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.924 * [taylor]: Taking taylor expansion of 0 in lambda1 0.924 * [taylor]: Taking taylor expansion of 0 in lambda2 0.925 * [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 0.925 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.925 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.926 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi2 0.926 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.930 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in phi1 0.930 * [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 0.931 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda1 0.931 * [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 0.932 * [taylor]: Taking taylor expansion of 0 in phi2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in phi2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.933 * [taylor]: Taking taylor expansion of 0 in lambda1 0.933 * [taylor]: Taking taylor expansion of 0 in lambda2 0.934 * [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 0.934 * [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 0.934 * [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 0.935 * [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 0.935 * [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 0.936 * [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 0.936 * [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 0.937 * [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 0.937 * [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 0.938 * [taylor]: Taking taylor expansion of 0 in phi2 0.938 * [taylor]: Taking taylor expansion of 0 in lambda1 0.938 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in phi2 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * [taylor]: Taking taylor expansion of 0 in lambda1 0.939 * [taylor]: Taking taylor expansion of 0 in lambda2 0.939 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.940 * [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 0.940 * [taylor]: Taking 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 0.940 * [taylor]: Taking taylor 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 0.940 * [taylor]: Taking taylor expansion of R in R 0.940 * [taylor]: Taking 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 0.940 * [taylor]: Taking taylor 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 0.941 * [taylor]: Taking taylor expansion of R in lambda2 0.941 * [taylor]: Taking 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 0.941 * [taylor]: Taking taylor 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 0.941 * [taylor]: Taking taylor expansion of R in lambda1 0.941 * [taylor]: Taking 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 0.941 * [taylor]: Taking taylor 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 0.941 * [taylor]: Taking taylor expansion of R in phi2 0.941 * [taylor]: Taking 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 0.942 * [taylor]: Taking taylor 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 0.942 * [taylor]: Taking taylor expansion of R in phi1 0.942 * [taylor]: Taking 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 0.942 * [taylor]: Taking taylor 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 0.942 * [taylor]: Taking taylor expansion of R in phi1 0.943 * [taylor]: Taking 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 0.943 * [taylor]: Taking taylor 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 0.943 * [taylor]: Taking taylor expansion of R in phi2 0.943 * [taylor]: Taking 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 0.944 * [taylor]: Taking taylor 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 0.944 * [taylor]: Taking taylor expansion of R in lambda1 0.944 * [taylor]: Taking 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 0.944 * [taylor]: Taking taylor 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 0.945 * [taylor]: Taking taylor expansion of R in lambda2 0.945 * [taylor]: Taking 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 0.945 * [taylor]: Taking taylor 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 0.945 * [taylor]: Taking taylor expansion of R in R 0.946 * [taylor]: Taking taylor expansion of 0 in phi2 0.946 * [taylor]: Taking taylor expansion of 0 in lambda1 0.946 * [taylor]: Taking taylor expansion of 0 in lambda2 0.946 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [taylor]: Taking taylor expansion of 0 in lambda1 0.947 * [taylor]: Taking taylor expansion of 0 in lambda2 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.947 * [taylor]: Taking taylor expansion of 0 in lambda2 0.947 * [taylor]: Taking taylor expansion of 0 in R 0.948 * [taylor]: Taking taylor expansion of 0 in R 0.950 * [taylor]: Taking taylor expansion of 0 in phi2 0.950 * [taylor]: Taking taylor expansion of 0 in lambda1 0.950 * [taylor]: Taking taylor expansion of 0 in lambda2 0.950 * [taylor]: Taking taylor expansion of 0 in R 0.950 * [taylor]: Taking taylor expansion of 0 in lambda1 0.950 * [taylor]: Taking taylor expansion of 0 in lambda2 0.950 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in lambda1 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.953 * [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 0.953 * [taylor]: Taking taylor 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 0.953 * [taylor]: Taking taylor 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 0.953 * [taylor]: Taking taylor expansion of R in R 0.954 * [taylor]: Taking taylor 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 0.954 * [taylor]: Taking taylor 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 0.954 * [taylor]: Taking taylor expansion of R in lambda2 0.955 * [taylor]: Taking taylor 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 0.955 * [taylor]: Taking taylor 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 0.956 * [taylor]: Taking taylor expansion of R in lambda1 0.956 * [taylor]: Taking taylor 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 0.956 * [taylor]: Taking taylor 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 0.957 * [taylor]: Taking taylor expansion of R in phi2 0.957 * [taylor]: Taking taylor 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 0.957 * [taylor]: Taking taylor 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 0.958 * [taylor]: Taking taylor expansion of R in phi1 0.958 * [taylor]: Taking taylor 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 0.958 * [taylor]: Taking taylor 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 0.959 * [taylor]: Taking taylor expansion of R in phi1 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)))))))) R) in phi2 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 phi2 0.960 * [taylor]: Taking taylor expansion of R in phi2 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)))))))) R) 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 lambda1 0.961 * [taylor]: Taking taylor expansion of R in lambda1 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)))))))) R) in lambda2 0.962 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 0.962 * [taylor]: Taking taylor expansion of R in lambda2 0.963 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 0.963 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 0.963 * [taylor]: Taking taylor expansion of R in R 0.965 * [taylor]: Taking taylor expansion of 0 in phi2 0.965 * [taylor]: Taking taylor expansion of 0 in lambda1 0.965 * [taylor]: Taking taylor expansion of 0 in lambda2 0.965 * [taylor]: Taking taylor expansion of 0 in R 0.966 * [taylor]: Taking taylor expansion of 0 in lambda1 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [taylor]: Taking taylor expansion of 0 in R 0.966 * [taylor]: Taking taylor expansion of 0 in lambda2 0.966 * [taylor]: Taking taylor expansion of 0 in R 0.967 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in phi2 0.969 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 0.969 * [taylor]: Taking taylor expansion of 0 in lambda1 0.969 * [taylor]: Taking taylor expansion of 0 in lambda2 0.969 * [taylor]: Taking taylor expansion of 0 in R 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 R 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.971 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [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 0.974 * [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 0.974 * [taylor]: Taking taylor expansion of -1 in R 0.974 * [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 0.974 * [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 0.975 * [taylor]: Taking taylor expansion of R in R 0.975 * [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 0.975 * [taylor]: Taking taylor expansion of -1 in lambda2 0.975 * [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 0.975 * [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 0.976 * [taylor]: Taking taylor expansion of R in lambda2 0.976 * [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 0.976 * [taylor]: Taking taylor expansion of -1 in lambda1 0.976 * [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 0.976 * [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 0.977 * [taylor]: Taking taylor expansion of R in lambda1 0.977 * [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 0.977 * [taylor]: Taking taylor expansion of -1 in phi2 0.977 * [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 0.977 * [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 0.978 * [taylor]: Taking taylor expansion of R in phi2 0.978 * [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 0.978 * [taylor]: Taking taylor expansion of -1 in phi1 0.979 * [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 0.979 * [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 0.979 * [taylor]: Taking taylor expansion of R in phi1 0.980 * [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 0.980 * [taylor]: Taking taylor expansion of -1 in phi1 0.980 * [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 0.980 * [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 0.980 * [taylor]: Taking taylor expansion of R in phi1 0.981 * [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 0.981 * [taylor]: Taking taylor expansion of -1 in phi2 0.981 * [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 0.981 * [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 0.982 * [taylor]: Taking taylor expansion of R in phi2 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of -1 in lambda1 0.983 * [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 0.983 * [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 0.983 * [taylor]: Taking taylor expansion of R in lambda1 0.984 * [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 0.984 * [taylor]: Taking taylor expansion of -1 in lambda2 0.984 * [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 0.984 * [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 0.985 * [taylor]: Taking taylor expansion of R in lambda2 0.986 * [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 0.986 * [taylor]: Taking taylor expansion of -1 in R 0.986 * [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 0.986 * [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 0.986 * [taylor]: Taking taylor expansion of R in R 0.990 * [taylor]: Taking taylor expansion of 0 in phi2 0.990 * [taylor]: Taking taylor expansion of 0 in lambda1 0.990 * [taylor]: Taking taylor expansion of 0 in lambda2 0.990 * [taylor]: Taking taylor expansion of 0 in R 0.991 * [taylor]: Taking taylor expansion of 0 in lambda1 0.991 * [taylor]: Taking taylor expansion of 0 in lambda2 0.991 * [taylor]: Taking taylor expansion of 0 in R 0.993 * [taylor]: Taking taylor expansion of 0 in lambda2 0.993 * [taylor]: Taking taylor expansion of 0 in R 0.994 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [taylor]: Taking taylor expansion of 0 in phi2 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [taylor]: Taking taylor expansion of 0 in lambda1 0.998 * [taylor]: Taking taylor expansion of 0 in lambda2 0.998 * [taylor]: Taking taylor expansion of 0 in R 0.999 * [taylor]: Taking taylor expansion of 0 in lambda1 0.999 * [taylor]: Taking taylor expansion of 0 in lambda2 0.999 * [taylor]: Taking taylor expansion of 0 in R 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 lambda2 1.000 * [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 R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.003 * [taylor]: Taking taylor expansion of 0 in R 1.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.007 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.007 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.007 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.007 * [taylor]: Taking taylor expansion of phi1 in phi2 1.007 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.007 * [taylor]: Taking taylor expansion of phi2 in phi2 1.007 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.007 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.007 * [taylor]: Taking taylor expansion of phi1 in phi1 1.007 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.007 * [taylor]: Taking taylor expansion of phi2 in phi1 1.007 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.007 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.007 * [taylor]: Taking taylor expansion of phi1 in phi1 1.007 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.007 * [taylor]: Taking taylor expansion of phi2 in phi1 1.007 * [taylor]: Taking taylor expansion of 0 in phi2 1.012 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.012 * [taylor]: Taking taylor expansion of phi2 in phi2 1.015 * [taylor]: Taking taylor expansion of 0 in phi2 1.019 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.019 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.019 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.019 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.019 * [taylor]: Taking taylor expansion of phi2 in phi2 1.025 * [taylor]: Taking taylor expansion of 0 in phi2 1.025 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.025 * [taylor]: Taking taylor expansion of phi1 in phi2 1.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.025 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.025 * [taylor]: Taking taylor expansion of phi2 in phi2 1.025 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.025 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.025 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.025 * [taylor]: Taking taylor expansion of phi1 in phi1 1.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.026 * [taylor]: Taking taylor expansion of phi2 in phi1 1.026 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.026 * [taylor]: Taking taylor expansion of phi1 in phi1 1.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.026 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.026 * [taylor]: Taking taylor expansion of phi2 in phi1 1.026 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.026 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.026 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.026 * [taylor]: Taking taylor expansion of phi1 in phi2 1.027 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.027 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.027 * [taylor]: Taking taylor expansion of phi2 in phi2 1.029 * [taylor]: Taking taylor expansion of 0 in phi2 1.033 * [taylor]: Taking taylor expansion of 0 in phi2 1.038 * [taylor]: Taking taylor expansion of 0 in phi2 1.038 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.038 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.038 * [taylor]: Taking taylor expansion of -1 in phi2 1.038 * [taylor]: Taking taylor expansion of phi1 in phi2 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.038 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.038 * [taylor]: Taking taylor expansion of -1 in phi2 1.038 * [taylor]: Taking taylor expansion of phi2 in phi2 1.038 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.038 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.038 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.039 * [taylor]: Taking taylor expansion of -1 in phi1 1.039 * [taylor]: Taking taylor expansion of phi1 in phi1 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.039 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.039 * [taylor]: Taking taylor expansion of -1 in phi1 1.039 * [taylor]: Taking taylor expansion of phi2 in phi1 1.039 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.039 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.039 * [taylor]: Taking taylor expansion of -1 in phi1 1.039 * [taylor]: Taking taylor expansion of phi1 in phi1 1.039 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.039 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.039 * [taylor]: Taking taylor expansion of -1 in phi1 1.039 * [taylor]: Taking taylor expansion of phi2 in phi1 1.040 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.040 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.040 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.040 * [taylor]: Taking taylor expansion of -1 in phi2 1.040 * [taylor]: Taking taylor expansion of phi1 in phi2 1.040 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.040 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.040 * [taylor]: Taking taylor expansion of -1 in phi2 1.040 * [taylor]: Taking taylor expansion of phi2 in phi2 1.042 * [taylor]: Taking taylor expansion of 0 in phi2 1.046 * [taylor]: Taking taylor expansion of 0 in phi2 1.051 * [taylor]: Taking taylor expansion of 0 in phi2 1.051 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.051 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in (lambda1 lambda2) around 0 1.051 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda2 1.051 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.051 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.051 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.051 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.051 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.052 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.052 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.052 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.052 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.052 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.052 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (- lambda2))) in lambda1 1.052 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.052 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.052 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda1 1.052 * [taylor]: Taking taylor expansion of (- lambda2) in lambda1 1.052 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.052 * [taylor]: Taking taylor expansion of 0 in lambda2 1.055 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.055 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.055 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.059 * [taylor]: Taking taylor expansion of 0 in lambda2 1.064 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (- lambda2)))) in lambda2 1.064 * [taylor]: Taking taylor expansion of (* 1/6 (sin (- lambda2))) in lambda2 1.064 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.064 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.064 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.064 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.072 * [taylor]: Taking taylor expansion of 0 in lambda2 1.072 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in (lambda1 lambda2) around 0 1.072 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.072 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.072 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.072 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.072 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.072 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.072 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.072 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.072 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.073 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.073 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.073 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.073 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.073 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.073 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda1 1.073 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.073 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.073 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda1 1.073 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda1 1.073 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.073 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.074 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (- (/ 1 lambda2)))) in lambda2 1.074 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.074 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.074 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.074 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2))) in lambda2 1.074 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2)) in lambda2 1.074 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.074 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.077 * [taylor]: Taking taylor expansion of 0 in lambda2 1.081 * [taylor]: Taking taylor expansion of 0 in lambda2 1.087 * [taylor]: Taking taylor expansion of 0 in lambda2 1.087 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.087 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.087 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.087 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.087 * [taylor]: Taking taylor expansion of -1 in lambda2 1.087 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.087 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.087 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.087 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.088 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.088 * [taylor]: Taking taylor expansion of -1 in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.088 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.088 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.088 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.088 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.088 * [taylor]: Taking taylor expansion of -1 in lambda1 1.088 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.089 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.089 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.089 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.089 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.089 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.089 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.089 * [taylor]: Taking taylor expansion of -1 in lambda2 1.089 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.089 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.089 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.089 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.095 * [taylor]: Taking taylor expansion of 0 in lambda2 1.099 * [taylor]: Taking taylor expansion of 0 in lambda2 1.104 * [taylor]: Taking taylor expansion of 0 in lambda2 1.105 * * * [progress]: simplifying candidates 1.106 * [simplify]: Simplifying using # : (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (expm1 (* (sin lambda1) (sin (- lambda2)))) (log1p (* (sin lambda1) (sin (- lambda2)))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (- lambda2))) (+ (log (sin lambda1)) (log (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin (- lambda2)) (sin (- lambda2))) (sin (- lambda2)))) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (* (* (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2)))) (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) (acos (- (+ (* (sin 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 (* lambda2 lambda1)) (* (sin lambda1) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.111 * * [simplify]: iteration 0 : 292 enodes (cost 1092 ) 1.116 * * [simplify]: iteration 1 : 949 enodes (cost 951 ) 1.130 * * [simplify]: iteration 2 : 2618 enodes (cost 927 ) 1.162 * * [simplify]: iteration 3 : 5002 enodes (cost 927 ) 1.165 * [simplify]: Simplified to: (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (expm1 (* (sin lambda1) (sin (- lambda2)))) (log1p (* (sin lambda1) (sin (- lambda2)))) (- (cos (- lambda1 (- lambda2))) (cos (+ lambda1 (- lambda2)))) (* (sin lambda1) (sin (* -1 lambda2))) (log (* (sin lambda1) (sin (- lambda2)))) (log (* (sin lambda1) (sin (- lambda2)))) (exp (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (cbrt (* (sin lambda1) (sin (- lambda2)))) (cbrt (* (sin lambda1) (sin (- lambda2))))) (cbrt (* (sin lambda1) (sin (- lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (sqrt (* (sin lambda1) (sin (- lambda2)))) (sqrt (* (sin lambda1) (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sqrt (sin lambda1)) (sqrt (sin (- lambda2)))) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (* (cbrt (sin (- lambda2))) (cbrt (sin (- lambda2))))) (* (sin lambda1) (sqrt (sin (- lambda2)))) (sin lambda1) (* (cbrt (sin lambda1)) (sin (- lambda2))) (* (sqrt (sin lambda1)) (sin (- lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) 1.166 * * * [progress]: adding candidates to table 1.577 * * [progress]: iteration 3 / 4 1.577 * * * [progress]: picking best candidate 1.694 * * * * [pick]: Picked # 1.694 * * * [progress]: localizing error 1.730 * * * [progress]: generating rewritten candidates 1.731 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 1.732 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.733 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.739 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 1.745 * * * [progress]: generating series expansions 1.745 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 1.745 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.745 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.745 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.745 * [taylor]: Taking taylor expansion of phi1 in phi2 1.745 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.745 * [taylor]: Taking taylor expansion of phi2 in phi2 1.745 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.745 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.745 * [taylor]: Taking taylor expansion of phi1 in phi1 1.745 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.745 * [taylor]: Taking taylor expansion of phi2 in phi1 1.745 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.745 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.745 * [taylor]: Taking taylor expansion of phi1 in phi1 1.745 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.745 * [taylor]: Taking taylor expansion of phi2 in phi1 1.746 * [taylor]: Taking taylor expansion of 0 in phi2 1.748 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.748 * [taylor]: Taking taylor expansion of phi2 in phi2 1.751 * [taylor]: Taking taylor expansion of 0 in phi2 1.756 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.756 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.756 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.756 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.756 * [taylor]: Taking taylor expansion of phi2 in phi2 1.762 * [taylor]: Taking taylor expansion of 0 in phi2 1.762 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.762 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.762 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.762 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.762 * [taylor]: Taking taylor expansion of phi1 in phi2 1.762 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.762 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.762 * [taylor]: Taking taylor expansion of phi2 in phi2 1.762 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.762 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.762 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.762 * [taylor]: Taking taylor expansion of phi1 in phi1 1.763 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.763 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.763 * [taylor]: Taking taylor expansion of phi2 in phi1 1.763 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.763 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.763 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.763 * [taylor]: Taking taylor expansion of phi1 in phi1 1.763 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.763 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.763 * [taylor]: Taking taylor expansion of phi2 in phi1 1.764 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.764 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.764 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.764 * [taylor]: Taking taylor expansion of phi1 in phi2 1.764 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.764 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.764 * [taylor]: Taking taylor expansion of phi2 in phi2 1.766 * [taylor]: Taking taylor expansion of 0 in phi2 1.770 * [taylor]: Taking taylor expansion of 0 in phi2 1.776 * [taylor]: Taking taylor expansion of 0 in phi2 1.776 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.776 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.776 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.776 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.776 * [taylor]: Taking taylor expansion of -1 in phi2 1.776 * [taylor]: Taking taylor expansion of phi1 in phi2 1.776 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.776 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.776 * [taylor]: Taking taylor expansion of -1 in phi2 1.776 * [taylor]: Taking taylor expansion of phi2 in phi2 1.777 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.777 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.777 * [taylor]: Taking taylor expansion of -1 in phi1 1.777 * [taylor]: Taking taylor expansion of phi1 in phi1 1.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.777 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.777 * [taylor]: Taking taylor expansion of -1 in phi1 1.777 * [taylor]: Taking taylor expansion of phi2 in phi1 1.777 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.777 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.777 * [taylor]: Taking taylor expansion of -1 in phi1 1.777 * [taylor]: Taking taylor expansion of phi1 in phi1 1.777 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.777 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.777 * [taylor]: Taking taylor expansion of -1 in phi1 1.777 * [taylor]: Taking taylor expansion of phi2 in phi1 1.778 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.778 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.778 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.778 * [taylor]: Taking taylor expansion of -1 in phi2 1.778 * [taylor]: Taking taylor expansion of phi1 in phi2 1.778 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.778 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.778 * [taylor]: Taking taylor expansion of -1 in phi2 1.778 * [taylor]: Taking taylor expansion of phi2 in phi2 1.780 * [taylor]: Taking taylor expansion of 0 in phi2 1.784 * [taylor]: Taking taylor expansion of 0 in phi2 1.789 * [taylor]: Taking taylor expansion of 0 in phi2 1.790 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.790 * [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 1.790 * [taylor]: Taking taylor 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 1.791 * [taylor]: Taking taylor 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 1.791 * [taylor]: Taking taylor 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 1.791 * [taylor]: Taking taylor 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 1.792 * [taylor]: Taking taylor 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 1.792 * [taylor]: Taking taylor 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 1.793 * [taylor]: Taking taylor 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 1.793 * [taylor]: Taking taylor 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 1.794 * [taylor]: Taking taylor expansion of 0 in phi2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in phi2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.794 * [taylor]: Taking taylor expansion of 0 in lambda1 1.794 * [taylor]: Taking taylor expansion of 0 in lambda2 1.795 * [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 1.795 * [taylor]: Taking taylor 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 1.795 * [taylor]: Taking taylor 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 1.796 * [taylor]: Taking taylor 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 1.796 * [taylor]: Taking taylor 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 1.797 * [taylor]: Taking taylor 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 1.798 * [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 1.798 * [taylor]: Taking taylor 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 1.799 * [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 1.800 * [taylor]: Taking taylor expansion of 0 in phi2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in phi2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.800 * [taylor]: Taking taylor expansion of 0 in lambda1 1.800 * [taylor]: Taking taylor expansion of 0 in lambda2 1.801 * [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 1.801 * [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 1.802 * [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 1.802 * [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 1.803 * [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 1.803 * [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 1.804 * [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 1.804 * [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 1.805 * [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 1.806 * [taylor]: Taking taylor expansion of 0 in phi2 1.806 * [taylor]: Taking taylor expansion of 0 in lambda1 1.806 * [taylor]: Taking taylor expansion of 0 in lambda2 1.806 * [taylor]: Taking taylor expansion of 0 in lambda1 1.806 * [taylor]: Taking taylor expansion of 0 in lambda2 1.806 * [taylor]: Taking taylor expansion of 0 in lambda2 1.806 * [taylor]: Taking taylor expansion of 0 in phi2 1.806 * [taylor]: Taking taylor expansion of 0 in lambda1 1.806 * [taylor]: Taking taylor expansion of 0 in lambda2 1.806 * [taylor]: Taking taylor expansion of 0 in lambda1 1.806 * [taylor]: Taking taylor expansion of 0 in lambda2 1.807 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.807 * [approximate]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.807 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 1.807 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.808 * [taylor]: Taking taylor expansion of R in R 1.808 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 1.808 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda2 1.808 * [taylor]: Taking taylor expansion of R in lambda2 1.808 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 1.808 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in lambda1 1.809 * [taylor]: Taking taylor expansion of R in lambda1 1.809 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 1.809 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.809 * [taylor]: Taking taylor expansion of R in phi2 1.809 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 1.809 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.810 * [taylor]: Taking taylor expansion of R in phi1 1.810 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi1 1.810 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi1 1.810 * [taylor]: Taking taylor expansion of R in phi1 1.810 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in phi2 1.810 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in phi2 1.811 * [taylor]: Taking taylor expansion of R in phi2 1.811 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda1 1.811 * [taylor]: Taking taylor 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 1.812 * [taylor]: Taking taylor expansion of R in lambda1 1.812 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in lambda2 1.812 * [taylor]: Taking taylor 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 1.812 * [taylor]: Taking taylor expansion of R in lambda2 1.813 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) R) in R 1.813 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (- lambda2))))))) in R 1.813 * [taylor]: Taking taylor expansion of R in R 1.814 * [taylor]: Taking taylor expansion of 0 in phi2 1.814 * [taylor]: Taking taylor expansion of 0 in lambda1 1.814 * [taylor]: Taking taylor expansion of 0 in lambda2 1.814 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in lambda1 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in lambda2 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.815 * [taylor]: Taking taylor expansion of 0 in R 1.818 * [taylor]: Taking taylor expansion of 0 in phi2 1.818 * [taylor]: Taking taylor expansion of 0 in lambda1 1.818 * [taylor]: Taking taylor expansion of 0 in lambda2 1.818 * [taylor]: Taking taylor expansion of 0 in R 1.818 * [taylor]: Taking taylor expansion of 0 in lambda1 1.818 * [taylor]: Taking taylor expansion of 0 in lambda2 1.818 * [taylor]: Taking taylor expansion of 0 in R 1.819 * [taylor]: Taking taylor expansion of 0 in lambda1 1.819 * [taylor]: Taking taylor expansion of 0 in lambda2 1.819 * [taylor]: Taking taylor expansion of 0 in R 1.819 * [taylor]: Taking taylor expansion of 0 in lambda2 1.819 * [taylor]: Taking taylor expansion of 0 in R 1.819 * [taylor]: Taking taylor expansion of 0 in lambda2 1.819 * [taylor]: Taking taylor expansion of 0 in R 1.819 * [taylor]: Taking taylor expansion of 0 in lambda2 1.819 * [taylor]: Taking taylor expansion of 0 in R 1.821 * [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 1.821 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.821 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.821 * [taylor]: Taking taylor expansion of R in R 1.826 * [taylor]: Taking taylor 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 1.826 * [taylor]: Taking taylor 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 1.826 * [taylor]: Taking taylor expansion of R in lambda2 1.827 * [taylor]: Taking taylor 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 1.827 * [taylor]: Taking taylor 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 1.828 * [taylor]: Taking taylor expansion of R in lambda1 1.828 * [taylor]: Taking taylor 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 1.828 * [taylor]: Taking taylor 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 1.829 * [taylor]: Taking taylor expansion of R in phi2 1.829 * [taylor]: Taking taylor 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 1.829 * [taylor]: Taking taylor 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 1.830 * [taylor]: Taking taylor expansion of R in phi1 1.830 * [taylor]: Taking taylor 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 1.830 * [taylor]: Taking taylor 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 1.831 * [taylor]: Taking taylor expansion of R in phi1 1.831 * [taylor]: Taking taylor 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 1.831 * [taylor]: Taking taylor 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 1.832 * [taylor]: Taking taylor expansion of R in phi2 1.833 * [taylor]: Taking taylor 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 1.833 * [taylor]: Taking taylor 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 1.833 * [taylor]: Taking taylor expansion of R in lambda1 1.834 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in lambda2 1.834 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in lambda2 1.834 * [taylor]: Taking taylor expansion of R in lambda2 1.835 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) R) in R 1.835 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (sin (- (/ 1 lambda2)))))))) in R 1.835 * [taylor]: Taking taylor expansion of R in R 1.837 * [taylor]: Taking taylor expansion of 0 in phi2 1.837 * [taylor]: Taking taylor expansion of 0 in lambda1 1.837 * [taylor]: Taking taylor expansion of 0 in lambda2 1.837 * [taylor]: Taking taylor expansion of 0 in R 1.838 * [taylor]: Taking taylor expansion of 0 in lambda1 1.838 * [taylor]: Taking taylor expansion of 0 in lambda2 1.838 * [taylor]: Taking taylor expansion of 0 in R 1.838 * [taylor]: Taking taylor expansion of 0 in lambda2 1.838 * [taylor]: Taking taylor expansion of 0 in R 1.839 * [taylor]: Taking taylor expansion of 0 in R 1.841 * [taylor]: Taking taylor expansion of 0 in phi2 1.841 * [taylor]: Taking taylor expansion of 0 in lambda1 1.841 * [taylor]: Taking taylor expansion of 0 in lambda2 1.841 * [taylor]: Taking taylor expansion of 0 in R 1.841 * [taylor]: Taking taylor expansion of 0 in lambda1 1.841 * [taylor]: Taking taylor expansion of 0 in lambda2 1.841 * [taylor]: Taking taylor expansion of 0 in R 1.842 * [taylor]: Taking taylor expansion of 0 in lambda1 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in R 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in R 1.842 * [taylor]: Taking taylor expansion of 0 in lambda2 1.842 * [taylor]: Taking taylor expansion of 0 in R 1.843 * [taylor]: Taking taylor expansion of 0 in lambda2 1.843 * [taylor]: Taking taylor expansion of 0 in R 1.843 * [taylor]: Taking taylor expansion of 0 in R 1.843 * [taylor]: Taking taylor expansion of 0 in R 1.843 * [taylor]: Taking taylor expansion of 0 in R 1.844 * [taylor]: Taking taylor expansion of 0 in R 1.847 * [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 1.847 * [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 1.847 * [taylor]: Taking taylor expansion of -1 in R 1.847 * [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 1.847 * [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 1.848 * [taylor]: Taking taylor expansion of R in R 1.848 * [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 1.848 * [taylor]: Taking taylor expansion of -1 in lambda2 1.848 * [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 1.848 * [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 1.849 * [taylor]: Taking taylor expansion of R in lambda2 1.849 * [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 1.849 * [taylor]: Taking taylor expansion of -1 in lambda1 1.849 * [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 1.849 * [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 1.850 * [taylor]: Taking taylor expansion of R in lambda1 1.850 * [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 1.850 * [taylor]: Taking taylor expansion of -1 in phi2 1.850 * [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 1.850 * [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 1.851 * [taylor]: Taking taylor expansion of R in phi2 1.851 * [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 1.851 * [taylor]: Taking taylor expansion of -1 in phi1 1.851 * [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 1.852 * [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 1.852 * [taylor]: Taking taylor expansion of R in phi1 1.853 * [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 1.853 * [taylor]: Taking taylor expansion of -1 in phi1 1.853 * [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 1.853 * [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 1.853 * [taylor]: Taking taylor expansion of R in phi1 1.854 * [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 1.854 * [taylor]: Taking taylor expansion of -1 in phi2 1.854 * [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 1.854 * [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 1.855 * [taylor]: Taking taylor expansion of R in phi2 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of -1 in lambda1 1.856 * [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 1.856 * [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 1.856 * [taylor]: Taking taylor expansion of R in lambda1 1.857 * [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 1.857 * [taylor]: Taking taylor expansion of -1 in lambda2 1.857 * [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 1.857 * [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 1.858 * [taylor]: Taking taylor expansion of R in lambda2 1.859 * [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 1.859 * [taylor]: Taking taylor expansion of -1 in R 1.859 * [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 1.859 * [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 1.860 * [taylor]: Taking taylor expansion of R in R 1.863 * [taylor]: Taking taylor expansion of 0 in phi2 1.863 * [taylor]: Taking taylor expansion of 0 in lambda1 1.863 * [taylor]: Taking taylor expansion of 0 in lambda2 1.863 * [taylor]: Taking taylor expansion of 0 in R 1.865 * [taylor]: Taking taylor expansion of 0 in lambda1 1.865 * [taylor]: Taking taylor expansion of 0 in lambda2 1.865 * [taylor]: Taking taylor expansion of 0 in R 1.867 * [taylor]: Taking taylor expansion of 0 in lambda2 1.867 * [taylor]: Taking taylor expansion of 0 in R 1.868 * [taylor]: Taking taylor expansion of 0 in R 1.872 * [taylor]: Taking taylor expansion of 0 in phi2 1.872 * [taylor]: Taking taylor expansion of 0 in lambda1 1.872 * [taylor]: Taking taylor expansion of 0 in lambda2 1.872 * [taylor]: Taking taylor expansion of 0 in R 1.872 * [taylor]: Taking taylor expansion of 0 in lambda1 1.872 * [taylor]: Taking taylor expansion of 0 in lambda2 1.872 * [taylor]: Taking taylor expansion of 0 in R 1.874 * [taylor]: Taking taylor expansion of 0 in lambda1 1.874 * [taylor]: Taking taylor expansion of 0 in lambda2 1.874 * [taylor]: Taking taylor expansion of 0 in R 1.874 * [taylor]: Taking taylor expansion of 0 in lambda2 1.874 * [taylor]: Taking taylor expansion of 0 in R 1.874 * [taylor]: Taking taylor expansion of 0 in lambda2 1.874 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [taylor]: Taking taylor expansion of 0 in lambda2 1.876 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [taylor]: Taking taylor expansion of 0 in R 1.876 * [taylor]: Taking taylor expansion of 0 in R 1.878 * [taylor]: Taking taylor expansion of 0 in R 1.881 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 1.881 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.881 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.881 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.881 * [taylor]: Taking taylor expansion of phi1 in phi2 1.881 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.881 * [taylor]: Taking taylor expansion of phi2 in phi2 1.881 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.881 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.881 * [taylor]: Taking taylor expansion of phi1 in phi1 1.881 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.881 * [taylor]: Taking taylor expansion of phi2 in phi1 1.882 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.882 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.882 * [taylor]: Taking taylor expansion of phi1 in phi1 1.882 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.882 * [taylor]: Taking taylor expansion of phi2 in phi1 1.882 * [taylor]: Taking taylor expansion of 0 in phi2 1.884 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.884 * [taylor]: Taking taylor expansion of phi2 in phi2 1.887 * [taylor]: Taking taylor expansion of 0 in phi2 1.891 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.891 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.891 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.891 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.891 * [taylor]: Taking taylor expansion of phi2 in phi2 1.897 * [taylor]: Taking taylor expansion of 0 in phi2 1.897 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.897 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.897 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.897 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.897 * [taylor]: Taking taylor expansion of phi1 in phi2 1.897 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.897 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.897 * [taylor]: Taking taylor expansion of phi2 in phi2 1.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.898 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.898 * [taylor]: Taking taylor expansion of phi1 in phi1 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.898 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.898 * [taylor]: Taking taylor expansion of phi2 in phi1 1.898 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.898 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.898 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.898 * [taylor]: Taking taylor expansion of phi1 in phi1 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.899 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.899 * [taylor]: Taking taylor expansion of phi2 in phi1 1.899 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.899 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.899 * [taylor]: Taking taylor expansion of phi1 in phi2 1.899 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.899 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.899 * [taylor]: Taking taylor expansion of phi2 in phi2 1.901 * [taylor]: Taking taylor expansion of 0 in phi2 1.905 * [taylor]: Taking taylor expansion of 0 in phi2 1.914 * [taylor]: Taking taylor expansion of 0 in phi2 1.915 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.915 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.915 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.915 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.915 * [taylor]: Taking taylor expansion of -1 in phi2 1.915 * [taylor]: Taking taylor expansion of phi1 in phi2 1.915 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.915 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.915 * [taylor]: Taking taylor expansion of -1 in phi2 1.915 * [taylor]: Taking taylor expansion of phi2 in phi2 1.915 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.915 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.915 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.915 * [taylor]: Taking taylor expansion of -1 in phi1 1.915 * [taylor]: Taking taylor expansion of phi1 in phi1 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.916 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.916 * [taylor]: Taking taylor expansion of -1 in phi1 1.916 * [taylor]: Taking taylor expansion of phi2 in phi1 1.916 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.916 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.916 * [taylor]: Taking taylor expansion of -1 in phi1 1.916 * [taylor]: Taking taylor expansion of phi1 in phi1 1.916 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.916 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.916 * [taylor]: Taking taylor expansion of -1 in phi1 1.916 * [taylor]: Taking taylor expansion of phi2 in phi1 1.917 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.917 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.917 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.917 * [taylor]: Taking taylor expansion of -1 in phi2 1.917 * [taylor]: Taking taylor expansion of phi1 in phi2 1.917 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.917 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.917 * [taylor]: Taking taylor expansion of -1 in phi2 1.917 * [taylor]: Taking taylor expansion of phi2 in phi2 1.919 * [taylor]: Taking taylor expansion of 0 in phi2 1.923 * [taylor]: Taking taylor expansion of 0 in phi2 1.928 * [taylor]: Taking taylor expansion of 0 in phi2 1.929 * * * [progress]: simplifying candidates 1.930 * [simplify]: Simplifying using # : (expm1 (log (exp (* (sin phi1) (sin phi2))))) (log1p (log (exp (* (sin phi1) (sin phi2))))) (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2)))))) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log (sqrt (exp (* (sin phi1) (sin phi2))))) (log 1) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (exp (* (sin phi1) (sin phi2)))) (log (exp (sin phi1))) (log (log (exp (* (sin phi1) (sin phi2))))) (exp (log (exp (* (sin phi1) (sin phi2))))) (* (cbrt (log (exp (* (sin phi1) (sin phi2))))) (cbrt (log (exp (* (sin phi1) (sin phi2)))))) (cbrt (log (exp (* (sin phi1) (sin phi2))))) (* (* (log (exp (* (sin phi1) (sin phi2)))) (log (exp (* (sin phi1) (sin phi2))))) (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (sqrt (log (exp (* (sin phi1) (sin phi2))))) (expm1 (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (expm1 (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (log1p (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log R)) (log (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* 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lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R))) (cbrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) 1) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (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)) (* 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))))))) (* (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)) 1.935 * * [simplify]: iteration 0 : 236 enodes (cost 1118 ) 1.939 * * [simplify]: iteration 1 : 663 enodes (cost 970 ) 1.950 * * [simplify]: iteration 2 : 1590 enodes (cost 958 ) 1.969 * * [simplify]: iteration 3 : 2851 enodes (cost 958 ) 2.000 * * [simplify]: iteration 4 : 5002 enodes (cost 958 ) 2.003 * [simplify]: Simplified to: (expm1 (* (sin phi1) (sin phi2))) (log1p (* (sin phi1) (sin phi2))) (* 2 (log (cbrt (exp (* (sin phi1) (sin phi2)))))) (log (cbrt (exp (* (sin phi1) (sin phi2))))) (log (pow (exp (* (sin phi1) (sin phi2))) 1/2)) (log (pow (exp (* (sin phi1) (sin phi2))) 1/2)) 0 (* (sin phi1) (sin phi2)) (sin phi1) (* (sin phi1) (sin phi2)) (sin phi1) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (expm1 (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (log1p (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (/ PI 2) (asin (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (exp (acos (+ (log (exp (* (sin phi1) (sin 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(* (sin lambda1) (sin (- lambda2))))))) R)) (sqrt (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) (sqrt R)) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt R) (cbrt R))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (sqrt R)) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2)))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (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)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.004 * * * [progress]: adding candidates to table 2.414 * * [progress]: iteration 4 / 4 2.414 * * * [progress]: picking best candidate 2.515 * * * * [pick]: Picked # 2.515 * * * [progress]: localizing error 2.552 * * * [progress]: generating rewritten candidates 2.552 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 2.555 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.556 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1) 2.560 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.564 * * * [progress]: generating series expansions 2.564 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 2.565 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in (lambda1 lambda2) around 0 2.565 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda2 2.565 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.565 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.565 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.565 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.565 * [taylor]: Taking taylor expansion of -1 in lambda2 2.565 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.566 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.566 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.566 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.566 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.566 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.566 * [taylor]: Taking taylor expansion of -1 in lambda1 2.566 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.566 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.566 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.566 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.566 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.566 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.566 * [taylor]: Taking taylor expansion of -1 in lambda1 2.566 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.566 * [taylor]: Taking taylor expansion of 0 in lambda2 2.569 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.569 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.569 * [taylor]: Taking taylor expansion of -1 in lambda2 2.569 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.573 * [taylor]: Taking taylor expansion of 0 in lambda2 2.578 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin (* -1 lambda2)))) in lambda2 2.579 * [taylor]: Taking taylor expansion of (* 1/6 (sin (* -1 lambda2))) in lambda2 2.579 * [taylor]: Taking taylor expansion of 1/6 in lambda2 2.579 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.579 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.579 * [taylor]: Taking taylor expansion of -1 in lambda2 2.579 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.591 * [taylor]: Taking taylor expansion of 0 in lambda2 2.592 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.592 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.592 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.592 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.592 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.592 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.592 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.592 * [taylor]: Taking taylor expansion of -1 in lambda2 2.592 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.592 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.592 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.592 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.592 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.592 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.592 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.592 * [taylor]: Taking taylor expansion of -1 in lambda1 2.592 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.593 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.593 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.593 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.593 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.593 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.593 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.593 * [taylor]: Taking taylor expansion of -1 in lambda1 2.593 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.593 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.593 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.593 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.593 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.593 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.593 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.593 * [taylor]: Taking taylor expansion of -1 in lambda2 2.593 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.596 * [taylor]: Taking taylor expansion of 0 in lambda2 2.600 * [taylor]: Taking taylor expansion of 0 in lambda2 2.605 * [taylor]: Taking taylor expansion of 0 in lambda2 2.605 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.605 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.605 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.605 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.605 * [taylor]: Taking taylor expansion of -1 in lambda2 2.605 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.606 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.606 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.606 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.606 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.606 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.606 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.606 * [taylor]: Taking taylor expansion of -1 in lambda1 2.606 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.606 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.606 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.606 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.606 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.606 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.606 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.606 * [taylor]: Taking taylor expansion of -1 in lambda1 2.607 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.607 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.607 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.607 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.607 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.607 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.607 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.607 * [taylor]: Taking taylor expansion of -1 in lambda2 2.607 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.607 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.607 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.607 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.609 * [taylor]: Taking taylor expansion of 0 in lambda2 2.613 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * [taylor]: Taking taylor expansion of 0 in lambda2 2.619 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.620 * [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 (* -1 lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.620 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.620 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.620 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.621 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.621 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.621 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.622 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.622 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in phi2 2.623 * [taylor]: Taking taylor expansion of 0 in lambda1 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in lambda1 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in phi2 2.623 * [taylor]: Taking taylor expansion of 0 in lambda1 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.623 * [taylor]: Taking taylor expansion of 0 in lambda1 2.623 * [taylor]: Taking taylor expansion of 0 in lambda2 2.624 * [approximate]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.624 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.625 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.625 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.626 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.626 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.627 * [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)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.627 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.628 * [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)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.629 * [taylor]: Taking taylor expansion of 0 in phi2 2.629 * [taylor]: Taking taylor expansion of 0 in lambda1 2.629 * [taylor]: Taking taylor expansion of 0 in lambda2 2.629 * [taylor]: Taking taylor expansion of 0 in lambda1 2.629 * [taylor]: Taking taylor expansion of 0 in lambda2 2.629 * [taylor]: Taking taylor expansion of 0 in lambda2 2.629 * [taylor]: Taking taylor expansion of 0 in phi2 2.629 * [taylor]: Taking taylor expansion of 0 in lambda1 2.629 * [taylor]: Taking taylor expansion of 0 in lambda2 2.629 * [taylor]: Taking taylor expansion of 0 in lambda1 2.629 * [taylor]: Taking taylor expansion of 0 in lambda2 2.630 * [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 2.630 * [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 2.631 * [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 2.631 * [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 2.632 * [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 2.632 * [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 2.633 * [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 2.633 * [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 2.634 * [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 2.635 * [taylor]: Taking taylor expansion of 0 in phi2 2.635 * [taylor]: Taking taylor expansion of 0 in lambda1 2.635 * [taylor]: Taking taylor expansion of 0 in lambda2 2.635 * [taylor]: Taking taylor expansion of 0 in lambda1 2.635 * [taylor]: Taking taylor expansion of 0 in lambda2 2.635 * [taylor]: Taking taylor expansion of 0 in lambda2 2.635 * [taylor]: Taking taylor expansion of 0 in phi2 2.635 * [taylor]: Taking taylor expansion of 0 in lambda1 2.635 * [taylor]: Taking taylor expansion of 0 in lambda2 2.635 * [taylor]: Taking taylor expansion of 0 in lambda1 2.635 * [taylor]: Taking taylor expansion of 0 in lambda2 2.636 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1) 2.636 * [approximate]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.636 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda2 2.636 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda2 2.636 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 2.636 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.636 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.636 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.636 * [taylor]: Taking taylor expansion of -1 in lambda2 2.636 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.640 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda1 2.640 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.640 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.640 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.640 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.640 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.640 * [taylor]: Taking taylor expansion of -1 in lambda1 2.640 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.642 * [taylor]: Taking taylor expansion of (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) in lambda1 2.642 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin (* -1 lambda2))) in lambda1 2.642 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 2.642 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.642 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda1 2.642 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda1 2.642 * [taylor]: Taking taylor expansion of -1 in lambda1 2.642 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.646 * [taylor]: Taking taylor expansion of (pow (sin (* -1 lambda2)) 3) in lambda2 2.646 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.646 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.646 * [taylor]: Taking taylor expansion of -1 in lambda2 2.646 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.651 * [taylor]: Taking taylor expansion of 0 in lambda2 2.659 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin (* -1 lambda2)) 3))) in lambda2 2.659 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin (* -1 lambda2)) 3)) in lambda2 2.659 * [taylor]: Taking taylor expansion of 1/2 in lambda2 2.659 * [taylor]: Taking taylor expansion of (pow (sin (* -1 lambda2)) 3) in lambda2 2.659 * [taylor]: Taking taylor expansion of (sin (* -1 lambda2)) in lambda2 2.659 * [taylor]: Taking taylor expansion of (* -1 lambda2) in lambda2 2.659 * [taylor]: Taking taylor expansion of -1 in lambda2 2.659 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.664 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in (lambda1 lambda2) around 0 2.664 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda2 2.664 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.664 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.664 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.664 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.664 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.664 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.664 * [taylor]: Taking taylor expansion of -1 in lambda2 2.664 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.665 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.665 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.665 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.665 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.665 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.665 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.665 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.665 * [taylor]: Taking taylor expansion of -1 in lambda1 2.665 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.666 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) 3) in lambda1 2.666 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ -1 lambda2))) in lambda1 2.666 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 2.666 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 2.666 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.666 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 2.666 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 2.666 * [taylor]: Taking taylor expansion of -1 in lambda1 2.666 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.667 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda1)) 3) (pow (sin (/ -1 lambda2)) 3)) in lambda2 2.667 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 3) in lambda2 2.667 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 2.667 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 2.667 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.667 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 3) in lambda2 2.667 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 2.667 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 2.667 * [taylor]: Taking taylor expansion of -1 in lambda2 2.667 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.675 * [taylor]: Taking taylor expansion of 0 in lambda2 2.681 * [taylor]: Taking taylor expansion of 0 in lambda2 2.689 * [taylor]: Taking taylor expansion of 0 in lambda2 2.690 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in (lambda1 lambda2) around 0 2.690 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda2 2.690 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.690 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.690 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.690 * [taylor]: Taking taylor expansion of -1 in lambda2 2.690 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.690 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.690 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.690 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.690 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.690 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.690 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.690 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.690 * [taylor]: Taking taylor expansion of -1 in lambda1 2.690 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.691 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.691 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) 3) in lambda1 2.691 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ 1 lambda2))) in lambda1 2.691 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 2.691 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 2.691 * [taylor]: Taking taylor expansion of -1 in lambda1 2.691 * [taylor]: Taking taylor expansion of lambda1 in lambda1 2.691 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 2.691 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 2.691 * [taylor]: Taking taylor expansion of lambda2 in lambda1 2.692 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 3) (pow (sin (/ 1 lambda2)) 3)) in lambda2 2.692 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 3) in lambda2 2.692 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 2.692 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 2.692 * [taylor]: Taking taylor expansion of -1 in lambda2 2.692 * [taylor]: Taking taylor expansion of lambda1 in lambda2 2.692 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 3) in lambda2 2.692 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 2.692 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 2.692 * [taylor]: Taking taylor expansion of lambda2 in lambda2 2.696 * [taylor]: Taking taylor expansion of 0 in lambda2 2.701 * [taylor]: Taking taylor expansion of 0 in lambda2 2.710 * [taylor]: Taking taylor expansion of 0 in lambda2 2.710 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.711 * [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 (* -1 lambda2))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.711 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in R 2.711 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in R 2.711 * [taylor]: Taking taylor expansion of R in R 2.711 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda2 2.711 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.711 * [taylor]: Taking taylor expansion of R in lambda2 2.711 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda1 2.712 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.712 * [taylor]: Taking taylor expansion of R in lambda1 2.712 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi2 2.712 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.712 * [taylor]: Taking taylor expansion of R in phi2 2.712 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi1 2.712 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.713 * [taylor]: Taking taylor expansion of R in phi1 2.713 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi1 2.713 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi1 2.713 * [taylor]: Taking taylor expansion of R in phi1 2.714 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in phi2 2.714 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in phi2 2.714 * [taylor]: Taking taylor expansion of R in phi2 2.714 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda1 2.714 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda1 2.715 * [taylor]: Taking taylor expansion of R in lambda1 2.715 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in lambda2 2.715 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in lambda2 2.716 * [taylor]: Taking taylor expansion of R in lambda2 2.716 * [taylor]: Taking taylor expansion of (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) in R 2.716 * [taylor]: Taking taylor expansion of (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) in R 2.716 * [taylor]: Taking taylor expansion of R in R 2.717 * [taylor]: Taking taylor expansion of 0 in phi2 2.717 * [taylor]: Taking taylor expansion of 0 in lambda1 2.717 * [taylor]: Taking taylor expansion of 0 in lambda2 2.717 * [taylor]: Taking taylor expansion of 0 in R 2.718 * [taylor]: Taking taylor expansion of 0 in lambda1 2.718 * [taylor]: Taking taylor expansion of 0 in lambda2 2.718 * [taylor]: Taking taylor expansion of 0 in R 2.718 * [taylor]: Taking taylor expansion of 0 in lambda2 2.718 * [taylor]: Taking taylor expansion of 0 in R 2.719 * [taylor]: Taking taylor expansion of 0 in R 2.721 * [taylor]: Taking taylor expansion of 0 in phi2 2.721 * [taylor]: Taking taylor expansion of 0 in lambda1 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.721 * [taylor]: Taking taylor expansion of 0 in R 2.721 * [taylor]: Taking taylor expansion of 0 in lambda1 2.721 * [taylor]: Taking taylor expansion of 0 in lambda2 2.721 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [taylor]: Taking taylor expansion of 0 in lambda1 2.722 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * [taylor]: Taking taylor expansion of 0 in R 2.722 * [taylor]: Taking taylor expansion of 0 in lambda2 2.722 * [taylor]: Taking taylor expansion of 0 in R 2.724 * [approximate]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 2.724 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in R 2.724 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in R 2.724 * [taylor]: Taking taylor expansion of R in R 2.725 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda2 2.725 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.726 * [taylor]: Taking taylor expansion of R in lambda2 2.726 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda1 2.726 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.727 * [taylor]: Taking taylor expansion of R in lambda1 2.727 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi2 2.727 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.728 * [taylor]: Taking taylor expansion of R in phi2 2.728 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi1 2.728 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.729 * [taylor]: Taking taylor expansion of R in phi1 2.729 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi1 2.729 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi1 2.730 * [taylor]: Taking taylor expansion of R in phi1 2.730 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in phi2 2.730 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in phi2 2.731 * [taylor]: Taking taylor expansion of R in phi2 2.732 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda1 2.732 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda1 2.732 * [taylor]: Taking taylor expansion of R in lambda1 2.733 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in lambda2 2.733 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in lambda2 2.733 * [taylor]: Taking taylor expansion of R in lambda2 2.734 * [taylor]: Taking taylor expansion of (/ (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) R) in R 2.734 * [taylor]: Taking taylor expansion of (acos (- (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))) (* (sin (/ 1 lambda1)) (* (sin (/ -1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1))))))) in R 2.734 * [taylor]: Taking taylor expansion of R in R 2.736 * [taylor]: Taking taylor expansion of 0 in phi2 2.736 * [taylor]: Taking taylor expansion of 0 in lambda1 2.736 * [taylor]: Taking taylor expansion of 0 in lambda2 2.736 * [taylor]: Taking taylor expansion of 0 in R 2.737 * [taylor]: Taking taylor expansion of 0 in lambda1 2.737 * [taylor]: Taking taylor expansion of 0 in lambda2 2.737 * [taylor]: Taking taylor expansion of 0 in R 2.738 * [taylor]: Taking taylor expansion of 0 in lambda2 2.738 * [taylor]: Taking taylor expansion of 0 in R 2.738 * [taylor]: Taking taylor expansion of 0 in R 2.740 * [taylor]: Taking taylor expansion of 0 in phi2 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in R 2.740 * [taylor]: Taking taylor expansion of 0 in lambda1 2.740 * [taylor]: Taking taylor expansion of 0 in lambda2 2.740 * [taylor]: Taking taylor expansion of 0 in R 2.741 * [taylor]: Taking taylor expansion of 0 in lambda1 2.741 * [taylor]: Taking taylor expansion of 0 in lambda2 2.741 * [taylor]: Taking taylor expansion of 0 in R 2.741 * [taylor]: Taking taylor expansion of 0 in lambda2 2.741 * [taylor]: Taking taylor expansion of 0 in R 2.741 * [taylor]: Taking taylor expansion of 0 in lambda2 2.741 * [taylor]: Taking taylor expansion of 0 in R 2.742 * [taylor]: Taking taylor expansion of 0 in lambda2 2.742 * [taylor]: Taking taylor expansion of 0 in R 2.742 * [taylor]: Taking taylor expansion of 0 in R 2.742 * [taylor]: Taking taylor expansion of 0 in R 2.742 * [taylor]: Taking taylor expansion of 0 in R 2.743 * [taylor]: Taking taylor expansion of 0 in R 2.746 * [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 2.746 * [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 2.746 * [taylor]: Taking taylor expansion of -1 in R 2.746 * [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 2.746 * [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 2.747 * [taylor]: Taking taylor expansion of R in R 2.747 * [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 2.747 * [taylor]: Taking taylor expansion of -1 in lambda2 2.747 * [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 2.747 * [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 2.748 * [taylor]: Taking taylor expansion of R in lambda2 2.748 * [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 2.749 * [taylor]: Taking taylor expansion of -1 in lambda1 2.749 * [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 2.749 * [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 2.749 * [taylor]: Taking taylor expansion of R in lambda1 2.750 * [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 2.750 * [taylor]: Taking taylor expansion of -1 in phi2 2.750 * [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 2.750 * [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 2.750 * [taylor]: Taking taylor expansion of R in phi2 2.751 * [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 2.751 * [taylor]: Taking taylor expansion of -1 in phi1 2.751 * [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 2.751 * [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 2.751 * [taylor]: Taking taylor expansion of R in phi1 2.752 * [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 2.752 * [taylor]: Taking taylor expansion of -1 in phi1 2.752 * [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 2.752 * [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 2.752 * [taylor]: Taking taylor expansion of R in phi1 2.753 * [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 2.753 * [taylor]: Taking taylor expansion of -1 in phi2 2.753 * [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 2.753 * [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 2.754 * [taylor]: Taking taylor expansion of R in phi2 2.755 * [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 2.755 * [taylor]: Taking taylor expansion of -1 in lambda1 2.755 * [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 2.755 * [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 2.756 * [taylor]: Taking taylor expansion of R in lambda1 2.757 * [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 2.757 * [taylor]: Taking taylor expansion of -1 in lambda2 2.757 * [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 2.757 * [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 2.757 * [taylor]: Taking taylor expansion of R in lambda2 2.758 * [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 2.758 * [taylor]: Taking taylor expansion of -1 in R 2.758 * [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 2.759 * [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 2.759 * [taylor]: Taking taylor expansion of R in R 2.766 * [taylor]: Taking taylor expansion of 0 in phi2 2.766 * [taylor]: Taking taylor expansion of 0 in lambda1 2.766 * [taylor]: Taking taylor expansion of 0 in lambda2 2.766 * [taylor]: Taking taylor expansion of 0 in R 2.768 * [taylor]: Taking taylor expansion of 0 in lambda1 2.768 * [taylor]: Taking taylor expansion of 0 in lambda2 2.768 * [taylor]: Taking taylor expansion of 0 in R 2.769 * [taylor]: Taking taylor expansion of 0 in lambda2 2.769 * [taylor]: Taking taylor expansion of 0 in R 2.771 * [taylor]: Taking taylor expansion of 0 in R 2.775 * [taylor]: Taking taylor expansion of 0 in phi2 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in R 2.775 * [taylor]: Taking taylor expansion of 0 in lambda1 2.775 * [taylor]: Taking taylor expansion of 0 in lambda2 2.775 * [taylor]: Taking taylor expansion of 0 in R 2.777 * [taylor]: Taking taylor expansion of 0 in lambda1 2.777 * [taylor]: Taking taylor expansion of 0 in lambda2 2.777 * [taylor]: Taking taylor expansion of 0 in R 2.777 * [taylor]: Taking taylor expansion of 0 in lambda2 2.777 * [taylor]: Taking taylor expansion of 0 in R 2.777 * [taylor]: Taking taylor expansion of 0 in lambda2 2.777 * [taylor]: Taking taylor expansion of 0 in R 2.778 * [taylor]: Taking taylor expansion of 0 in lambda2 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.779 * [taylor]: Taking taylor expansion of 0 in R 2.780 * [taylor]: Taking taylor expansion of 0 in R 2.784 * * * [progress]: simplifying candidates 2.785 * [simplify]: Simplifying using # : (expm1 (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log1p (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (exp (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (* -1 lambda2)) 3)) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (sin lambda1) 3)) (cbrt (pow (sin (* -1 lambda2)) 3)) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt 1) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2))) (cbrt (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (* (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (sqrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (expm1 (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log1p (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (+ (log (sin lambda1)) (log (sin (* -1 lambda2)))) 3) (* (log (* (sin lambda1) (sin (* -1 lambda2)))) 3) (* (log (* (sin lambda1) (sin (* -1 lambda2)))) 3) (* 1 3) (* 1 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (* -1 lambda2))) (sqrt 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2)))) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (* (* (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3) (pow 2 3) (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2)))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2)) (pow (* (sin lambda1) (sin (* -1 lambda2))) (/ 3 2)) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 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 (* -1 lambda2))))))) (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) (- (+ (* 1/2 (* (pow lambda2 5) (pow lambda1 3))) (* 1/2 (* (pow lambda2 3) (pow lambda1 5)))) (* (pow lambda2 3) (pow lambda1 3))) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) (* (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3)) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 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) (* (acos (- (+ (* (sin phi1) (sin phi2)) (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2))))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin (* -1 lambda2))))))) R) 2.792 * * [simplify]: iteration 0 : 305 enodes (cost 1246 ) 2.798 * * [simplify]: iteration 1 : 1128 enodes (cost 1101 ) 2.823 * * [simplify]: iteration 2 : 5001 enodes (cost 1088 ) 2.827 * [simplify]: Simplified to: (expm1 (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log1p (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (log (* (sin lambda1) (sin (* -1 lambda2)))) (pow (exp (sin lambda1)) (sin (* -1 lambda2))) (sin lambda1) (sin (* -1 lambda2)) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (sin lambda1) (sin (* -1 lambda2)) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (cbrt (* (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt 1) (* (sin lambda1) (sin (* -1 lambda2))) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2)) (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 2 (* (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))) (cbrt (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))) (cbrt (* (sin lambda1) (sin (* -1 lambda2)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1/2) (pow (* (sin lambda1) (sin (* -1 lambda2))) 1/2) (expm1 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (log1p (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (expm1 (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log1p (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) 3 3 (pow (* (sin lambda1) (sin (* -1 lambda2))) (* (cbrt 3) (cbrt 3))) (pow (* (sin lambda1) (sin (* -1 lambda2))) (sqrt 3)) (* (sin lambda1) (sin (* -1 lambda2))) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (log (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (exp (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (* (sin lambda1) (sin (* -1 lambda2))) (pow (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) 3) (pow (sin lambda1) 3) (pow (sin (* -1 lambda2)) 3) (pow (- (cos (- lambda1 (* -1 lambda2))) (cos (+ lambda1 (* -1 lambda2)))) 3) 8 (pow (* (sin lambda1) (sin (* -1 lambda2))) 2) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (sqrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3/2) (expm1 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (log1p (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* -1 (* lambda2 lambda1)) (* (sin lambda1) (sin (* -1 lambda2))) (* (sin lambda1) (sin (* -1 lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) (fma (fma (pow lambda1 3) (pow lambda2 5) (* (pow lambda2 3) (pow lambda1 5))) 1/2 (- (* (pow lambda2 3) (pow lambda1 3)))) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (pow (* (sin lambda1) (sin (* -1 lambda2))) 3) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (cbrt (pow (* (sin lambda1) (sin (* -1 lambda2))) 3)))))) R) 2.827 * * * [progress]: adding candidates to table 3.294 * [progress]: [Phase 3 of 3] Extracting. 3.294 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 3.317 * * * [regime-changes]: Trying 5 branch expressions: (phi2 phi1 lambda2 lambda1 R) 3.317 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 3.438 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 3.557 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 3.676 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 3.800 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 3.919 * * * [regime]: Found split indices: #