12.233 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.291 * * * [progress]: [2/2] Setting up program. 0.295 * [progress]: [Phase 2 of 3] Improving. 0.318 * [simplify]: Simplifying using # : (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.320 * * [simplify]: iteration 0 : 26 enodes (cost 12 ) 0.321 * * [simplify]: iteration 1 : 34 enodes (cost 12 ) 0.323 * * [simplify]: iteration 2 : 36 enodes (cost 12 ) 0.324 * * [simplify]: iteration 3 : 36 enodes (cost 12 ) 0.324 * [simplify]: Simplified to: (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.324 * * [progress]: iteration 1 / 4 0.324 * * * [progress]: picking best candidate 0.329 * * * * [pick]: Picked # 0.329 * * * [progress]: localizing error 0.372 * * * [progress]: generating rewritten candidates 0.372 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 0.379 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.381 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.387 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 0.397 * * * [progress]: generating series expansions 0.397 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 0.397 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.397 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.397 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 0.397 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.397 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.398 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.398 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.398 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.398 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.399 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 0.399 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 0.399 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.399 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.400 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.400 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.400 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.404 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 0.404 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 0.404 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.404 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.409 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 0.409 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 0.409 * [taylor]: Taking taylor expansion of 1/2 in lambda2 0.409 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 0.409 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 0.409 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.412 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.412 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.412 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.412 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.413 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.413 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.413 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.414 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.414 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.414 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.414 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.414 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.414 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.415 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 0.415 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 0.415 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.415 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.415 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.415 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.416 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.416 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 0.416 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.416 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.416 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.416 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.417 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [taylor]: Taking taylor expansion of 0 in lambda2 0.418 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.418 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.418 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.418 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.418 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.418 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.418 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.419 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.419 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.419 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.419 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.419 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.419 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.420 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 0.420 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 0.420 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 0.420 * [taylor]: Taking taylor expansion of lambda2 in lambda1 0.420 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 0.420 * [taylor]: Taking taylor expansion of lambda1 in lambda1 0.421 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.421 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 0.421 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 0.421 * [taylor]: Taking taylor expansion of lambda2 in lambda2 0.421 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 0.421 * [taylor]: Taking taylor expansion of lambda1 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.421 * [taylor]: Taking taylor expansion of 0 in lambda2 0.422 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.422 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.422 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.422 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.422 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.422 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.423 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.423 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.423 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.423 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in phi2 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in phi2 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [taylor]: Taking taylor expansion of 0 in lambda1 0.424 * [taylor]: Taking taylor expansion of 0 in lambda2 0.424 * [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 0.424 * [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 0.425 * [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 0.425 * [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 0.425 * [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 0.425 * [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 0.426 * [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 0.426 * [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 0.426 * [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 0.427 * [taylor]: Taking taylor expansion of 0 in phi2 0.427 * [taylor]: Taking taylor expansion of 0 in lambda1 0.427 * [taylor]: Taking taylor expansion of 0 in lambda2 0.427 * [taylor]: Taking taylor expansion of 0 in lambda1 0.427 * [taylor]: Taking taylor expansion of 0 in lambda2 0.427 * [taylor]: Taking taylor expansion of 0 in lambda2 0.427 * [taylor]: Taking taylor expansion of 0 in phi2 0.427 * [taylor]: Taking taylor expansion of 0 in lambda1 0.427 * [taylor]: Taking taylor expansion of 0 in lambda2 0.427 * [taylor]: Taking taylor expansion of 0 in lambda1 0.427 * [taylor]: Taking taylor expansion of 0 in lambda2 0.428 * [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 0.428 * [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 0.428 * [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 0.429 * [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 0.429 * [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 0.429 * [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 0.429 * [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 0.430 * [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 0.430 * [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 0.431 * [taylor]: Taking taylor expansion of 0 in phi2 0.431 * [taylor]: Taking taylor expansion of 0 in lambda1 0.431 * [taylor]: Taking taylor expansion of 0 in lambda2 0.431 * [taylor]: Taking taylor expansion of 0 in lambda1 0.431 * [taylor]: Taking taylor expansion of 0 in lambda2 0.431 * [taylor]: Taking taylor expansion of 0 in lambda2 0.431 * [taylor]: Taking taylor expansion of 0 in phi2 0.431 * [taylor]: Taking taylor expansion of 0 in lambda1 0.431 * [taylor]: Taking taylor expansion of 0 in lambda2 0.431 * [taylor]: Taking taylor expansion of 0 in lambda1 0.431 * [taylor]: Taking taylor expansion of 0 in lambda2 0.431 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.431 * [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 0.431 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.431 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.432 * [taylor]: Taking taylor expansion of R in R 0.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.432 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.432 * [taylor]: Taking taylor expansion of R in lambda2 0.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.432 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.432 * [taylor]: Taking taylor expansion of R in lambda1 0.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.432 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.432 * [taylor]: Taking taylor expansion of R in phi2 0.432 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.432 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.433 * [taylor]: Taking taylor expansion of R in phi1 0.433 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi1 0.433 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi1 0.433 * [taylor]: Taking taylor expansion of R in phi1 0.433 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in phi2 0.433 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in phi2 0.433 * [taylor]: Taking taylor expansion of R in phi2 0.433 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda1 0.433 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda1 0.434 * [taylor]: Taking taylor expansion of R in lambda1 0.434 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in lambda2 0.434 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in lambda2 0.434 * [taylor]: Taking taylor expansion of R in lambda2 0.434 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) in R 0.434 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) in R 0.434 * [taylor]: Taking taylor expansion of R in R 0.435 * [taylor]: Taking taylor expansion of 0 in phi2 0.435 * [taylor]: Taking taylor expansion of 0 in lambda1 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda1 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.435 * [taylor]: Taking taylor expansion of 0 in lambda2 0.435 * [taylor]: Taking taylor expansion of 0 in R 0.436 * [taylor]: Taking taylor expansion of 0 in R 0.437 * [taylor]: Taking taylor expansion of 0 in phi2 0.437 * [taylor]: Taking taylor expansion of 0 in lambda1 0.437 * [taylor]: Taking taylor expansion of 0 in lambda2 0.437 * [taylor]: Taking taylor expansion of 0 in R 0.437 * [taylor]: Taking taylor expansion of 0 in lambda1 0.437 * [taylor]: Taking taylor expansion of 0 in lambda2 0.437 * [taylor]: Taking taylor expansion of 0 in R 0.441 * [taylor]: Taking taylor expansion of 0 in lambda1 0.441 * [taylor]: Taking taylor expansion of 0 in lambda2 0.441 * [taylor]: Taking taylor expansion of 0 in R 0.442 * [taylor]: Taking taylor expansion of 0 in lambda2 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.442 * [taylor]: Taking taylor expansion of 0 in lambda2 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.442 * [taylor]: Taking taylor expansion of 0 in lambda2 0.442 * [taylor]: Taking taylor expansion of 0 in R 0.443 * [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 0.443 * [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 0.443 * [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 0.443 * [taylor]: Taking taylor expansion of R in R 0.444 * [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 0.444 * [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 0.444 * [taylor]: Taking taylor expansion of R in lambda2 0.444 * [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 0.444 * [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 0.445 * [taylor]: Taking taylor expansion of R in lambda1 0.445 * [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 0.445 * [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 0.445 * [taylor]: Taking taylor expansion of R in phi2 0.445 * [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 0.445 * [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 0.446 * [taylor]: Taking taylor expansion of R in phi1 0.446 * [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 0.446 * [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 0.446 * [taylor]: Taking taylor expansion of R in phi1 0.447 * [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 0.447 * [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 0.447 * [taylor]: Taking taylor expansion of R in phi2 0.447 * [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 0.447 * [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 0.447 * [taylor]: Taking taylor expansion of R in lambda1 0.448 * [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 0.448 * [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 0.448 * [taylor]: Taking taylor expansion of R in lambda2 0.448 * [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 0.449 * [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 0.449 * [taylor]: Taking taylor expansion of R in R 0.450 * [taylor]: Taking taylor expansion of 0 in phi2 0.450 * [taylor]: Taking taylor expansion of 0 in lambda1 0.450 * [taylor]: Taking taylor expansion of 0 in lambda2 0.450 * [taylor]: Taking taylor expansion of 0 in R 0.450 * [taylor]: Taking taylor expansion of 0 in lambda1 0.450 * [taylor]: Taking taylor expansion of 0 in lambda2 0.450 * [taylor]: Taking taylor expansion of 0 in R 0.451 * [taylor]: Taking taylor expansion of 0 in lambda2 0.451 * [taylor]: Taking taylor expansion of 0 in R 0.451 * [taylor]: Taking taylor expansion of 0 in R 0.452 * [taylor]: Taking taylor expansion of 0 in phi2 0.452 * [taylor]: Taking taylor expansion of 0 in lambda1 0.452 * [taylor]: Taking taylor expansion of 0 in lambda2 0.452 * [taylor]: Taking taylor expansion of 0 in R 0.452 * [taylor]: Taking taylor expansion of 0 in lambda1 0.452 * [taylor]: Taking taylor expansion of 0 in lambda2 0.452 * [taylor]: Taking taylor expansion of 0 in R 0.453 * [taylor]: Taking taylor expansion of 0 in lambda1 0.453 * [taylor]: Taking taylor expansion of 0 in lambda2 0.453 * [taylor]: Taking taylor expansion of 0 in R 0.453 * [taylor]: Taking taylor expansion of 0 in lambda2 0.453 * [taylor]: Taking taylor expansion of 0 in R 0.453 * [taylor]: Taking taylor expansion of 0 in lambda2 0.453 * [taylor]: Taking taylor expansion of 0 in R 0.453 * [taylor]: Taking taylor expansion of 0 in lambda2 0.453 * [taylor]: Taking taylor expansion of 0 in R 0.453 * [taylor]: Taking taylor expansion of 0 in R 0.453 * [taylor]: Taking taylor expansion of 0 in R 0.453 * [taylor]: Taking taylor expansion of 0 in R 0.454 * [taylor]: Taking taylor expansion of 0 in R 0.456 * [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 0.456 * [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 0.456 * [taylor]: Taking taylor expansion of -1 in R 0.456 * [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 0.456 * [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 0.456 * [taylor]: Taking taylor expansion of R in R 0.457 * [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 0.457 * [taylor]: Taking taylor expansion of -1 in lambda2 0.457 * [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 0.457 * [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 0.457 * [taylor]: Taking taylor expansion of R in lambda2 0.457 * [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 0.457 * [taylor]: Taking taylor expansion of -1 in lambda1 0.457 * [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 0.457 * [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 0.458 * [taylor]: Taking taylor expansion of R in lambda1 0.458 * [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 0.458 * [taylor]: Taking taylor expansion of -1 in phi2 0.458 * [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 0.458 * [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 0.458 * [taylor]: Taking taylor expansion of R in phi2 0.458 * [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 0.459 * [taylor]: Taking taylor expansion of -1 in phi1 0.459 * [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 0.459 * [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 0.459 * [taylor]: Taking taylor expansion of R in phi1 0.459 * [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 0.459 * [taylor]: Taking taylor expansion of -1 in phi1 0.459 * [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 0.459 * [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 0.459 * [taylor]: Taking taylor expansion of R in phi1 0.460 * [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 0.460 * [taylor]: Taking taylor expansion of -1 in phi2 0.460 * [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 0.460 * [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 0.460 * [taylor]: Taking taylor expansion of R in phi2 0.461 * [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 0.461 * [taylor]: Taking taylor expansion of -1 in lambda1 0.461 * [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 0.461 * [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 0.461 * [taylor]: Taking taylor expansion of R in lambda1 0.462 * [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 0.462 * [taylor]: Taking taylor expansion of -1 in lambda2 0.462 * [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 0.462 * [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 0.462 * [taylor]: Taking taylor expansion of R in lambda2 0.463 * [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 0.463 * [taylor]: Taking taylor expansion of -1 in R 0.463 * [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 0.463 * [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 0.463 * [taylor]: Taking taylor expansion of R in R 0.465 * [taylor]: Taking taylor expansion of 0 in phi2 0.465 * [taylor]: Taking taylor expansion of 0 in lambda1 0.465 * [taylor]: Taking taylor expansion of 0 in lambda2 0.465 * [taylor]: Taking taylor expansion of 0 in R 0.466 * [taylor]: Taking taylor expansion of 0 in lambda1 0.466 * [taylor]: Taking taylor expansion of 0 in lambda2 0.466 * [taylor]: Taking taylor expansion of 0 in R 0.467 * [taylor]: Taking taylor expansion of 0 in lambda2 0.467 * [taylor]: Taking taylor expansion of 0 in R 0.468 * [taylor]: Taking taylor expansion of 0 in R 0.470 * [taylor]: Taking taylor expansion of 0 in phi2 0.470 * [taylor]: Taking taylor expansion of 0 in lambda1 0.470 * [taylor]: Taking taylor expansion of 0 in lambda2 0.470 * [taylor]: Taking taylor expansion of 0 in R 0.470 * [taylor]: Taking taylor expansion of 0 in lambda1 0.470 * [taylor]: Taking taylor expansion of 0 in lambda2 0.470 * [taylor]: Taking taylor expansion of 0 in R 0.471 * [taylor]: Taking taylor expansion of 0 in lambda1 0.472 * [taylor]: Taking taylor expansion of 0 in lambda2 0.472 * [taylor]: Taking taylor expansion of 0 in R 0.472 * [taylor]: Taking taylor expansion of 0 in lambda2 0.472 * [taylor]: Taking taylor expansion of 0 in R 0.472 * [taylor]: Taking taylor expansion of 0 in lambda2 0.472 * [taylor]: Taking taylor expansion of 0 in R 0.473 * [taylor]: Taking taylor expansion of 0 in lambda2 0.473 * [taylor]: Taking taylor expansion of 0 in R 0.473 * [taylor]: Taking taylor expansion of 0 in R 0.473 * [taylor]: Taking taylor expansion of 0 in R 0.473 * [taylor]: Taking taylor expansion of 0 in R 0.474 * [taylor]: Taking taylor expansion of 0 in R 0.477 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 0.477 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 0.477 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 0.477 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 0.477 * [taylor]: Taking taylor expansion of phi1 in phi2 0.477 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.477 * [taylor]: Taking taylor expansion of phi2 in phi2 0.477 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.477 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.477 * [taylor]: Taking taylor expansion of phi1 in phi1 0.477 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.477 * [taylor]: Taking taylor expansion of phi2 in phi1 0.477 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 0.477 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 0.477 * [taylor]: Taking taylor expansion of phi1 in phi1 0.477 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 0.477 * [taylor]: Taking taylor expansion of phi2 in phi1 0.478 * [taylor]: Taking taylor expansion of 0 in phi2 0.480 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.480 * [taylor]: Taking taylor expansion of phi2 in phi2 0.483 * [taylor]: Taking taylor expansion of 0 in phi2 0.487 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 0.487 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 0.487 * [taylor]: Taking taylor expansion of 1/6 in phi2 0.487 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 0.487 * [taylor]: Taking taylor expansion of phi2 in phi2 0.493 * [taylor]: Taking taylor expansion of 0 in phi2 0.493 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 0.493 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.493 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.493 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.493 * [taylor]: Taking taylor expansion of phi1 in phi2 0.493 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.493 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.493 * [taylor]: Taking taylor expansion of phi2 in phi2 0.493 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.493 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.493 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.493 * [taylor]: Taking taylor expansion of phi1 in phi1 0.494 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.494 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.494 * [taylor]: Taking taylor expansion of phi2 in phi1 0.494 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 0.494 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 0.494 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 0.494 * [taylor]: Taking taylor expansion of phi1 in phi1 0.494 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 0.494 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 0.494 * [taylor]: Taking taylor expansion of phi2 in phi1 0.494 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 0.494 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 0.494 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 0.494 * [taylor]: Taking taylor expansion of phi1 in phi2 0.495 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 0.495 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 0.495 * [taylor]: Taking taylor expansion of phi2 in phi2 0.497 * [taylor]: Taking taylor expansion of 0 in phi2 0.501 * [taylor]: Taking taylor expansion of 0 in phi2 0.506 * [taylor]: Taking taylor expansion of 0 in phi2 0.506 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 0.506 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.506 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.506 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.506 * [taylor]: Taking taylor expansion of -1 in phi2 0.506 * [taylor]: Taking taylor expansion of phi1 in phi2 0.506 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.506 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.506 * [taylor]: Taking taylor expansion of -1 in phi2 0.506 * [taylor]: Taking taylor expansion of phi2 in phi2 0.506 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.506 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.506 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.506 * [taylor]: Taking taylor expansion of -1 in phi1 0.506 * [taylor]: Taking taylor expansion of phi1 in phi1 0.507 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.507 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.507 * [taylor]: Taking taylor expansion of -1 in phi1 0.507 * [taylor]: Taking taylor expansion of phi2 in phi1 0.507 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 0.507 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 0.507 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 0.507 * [taylor]: Taking taylor expansion of -1 in phi1 0.507 * [taylor]: Taking taylor expansion of phi1 in phi1 0.507 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 0.507 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 0.507 * [taylor]: Taking taylor expansion of -1 in phi1 0.507 * [taylor]: Taking taylor expansion of phi2 in phi1 0.508 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 0.508 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 0.508 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 0.508 * [taylor]: Taking taylor expansion of -1 in phi2 0.508 * [taylor]: Taking taylor expansion of phi1 in phi2 0.508 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 0.508 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 0.508 * [taylor]: Taking taylor expansion of -1 in phi2 0.508 * [taylor]: Taking taylor expansion of phi2 in phi2 0.510 * [taylor]: Taking taylor expansion of 0 in phi2 0.514 * [taylor]: Taking taylor expansion of 0 in phi2 0.519 * [taylor]: Taking taylor expansion of 0 in phi2 0.519 * * * [progress]: simplifying candidates 0.520 * [simplify]: Simplifying using # : (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos (- lambda2))) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.528 * * [simplify]: iteration 0 : 200 enodes (cost 661 ) 0.531 * * [simplify]: iteration 1 : 565 enodes (cost 569 ) 0.540 * * [simplify]: iteration 2 : 1790 enodes (cost 569 ) 0.564 * * [simplify]: iteration 3 : 5001 enodes (cost 569 ) 0.567 * [simplify]: Simplified to: (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)) (log (cos (- lambda1 lambda2))) (exp (cos (- lambda1 lambda2))) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))) (cbrt (cos (- lambda1 lambda2))) (pow (cos (- lambda1 lambda2)) 3) (sqrt (cos (- lambda1 lambda2))) (sqrt (cos (- lambda1 lambda2))) (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 0.567 * * * [progress]: adding candidates to table 0.810 * * [progress]: iteration 2 / 4 0.810 * * * [progress]: picking best candidate 0.874 * * * * [pick]: Picked # 0.874 * * * [progress]: localizing error 0.910 * * * [progress]: generating rewritten candidates 0.910 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 0.912 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.915 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 0.920 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 0.926 * * * [progress]: generating series expansions 0.926 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 0.927 * [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 0.927 * [taylor]: Taking 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 0.927 * [taylor]: Taking 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 0.928 * [taylor]: Taking 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 0.928 * [taylor]: Taking 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 0.928 * [taylor]: Taking 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 0.929 * [taylor]: Taking 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 0.929 * [taylor]: Taking 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 0.930 * [taylor]: Taking 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 0.930 * [taylor]: Taking taylor expansion of 0 in phi2 0.930 * [taylor]: Taking taylor expansion of 0 in lambda1 0.930 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in phi2 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.931 * [taylor]: Taking taylor expansion of 0 in lambda1 0.931 * [taylor]: Taking taylor expansion of 0 in lambda2 0.932 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 0.932 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.932 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.933 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.934 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.935 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in phi2 0.936 * [taylor]: Taking taylor expansion of 0 in lambda1 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in lambda1 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in phi2 0.936 * [taylor]: Taking taylor expansion of 0 in lambda1 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.936 * [taylor]: Taking taylor expansion of 0 in lambda1 0.936 * [taylor]: Taking taylor expansion of 0 in lambda2 0.938 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 0.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.938 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.939 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.939 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.940 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.941 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.942 * [taylor]: Taking taylor expansion of 0 in phi2 0.942 * [taylor]: Taking taylor expansion of 0 in lambda1 0.942 * [taylor]: Taking taylor expansion of 0 in lambda2 0.942 * [taylor]: Taking taylor expansion of 0 in lambda1 0.942 * [taylor]: Taking taylor expansion of 0 in lambda2 0.942 * [taylor]: Taking taylor expansion of 0 in lambda2 0.942 * [taylor]: Taking taylor expansion of 0 in phi2 0.942 * [taylor]: Taking taylor expansion of 0 in lambda1 0.942 * [taylor]: Taking taylor expansion of 0 in lambda2 0.942 * [taylor]: Taking taylor expansion of 0 in lambda1 0.942 * [taylor]: Taking taylor expansion of 0 in lambda2 0.943 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.944 * [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 0.944 * [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 R 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 R 0.944 * [taylor]: Taking taylor expansion of R in R 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 0.944 * [taylor]: Taking taylor expansion of 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))))))) 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 0.945 * [taylor]: Taking taylor expansion of R in lambda1 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 phi2 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 phi2 0.945 * [taylor]: Taking taylor expansion of R in phi2 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 phi1 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 phi1 0.946 * [taylor]: Taking taylor expansion of R in phi1 0.946 * [taylor]: Taking 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 0.946 * [taylor]: Taking 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 0.946 * [taylor]: Taking taylor expansion of R in phi1 0.946 * [taylor]: Taking 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 0.946 * [taylor]: Taking 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 0.947 * [taylor]: Taking taylor expansion of R in phi2 0.947 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda1 0.947 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 0.948 * [taylor]: Taking taylor expansion of R in lambda1 0.948 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in lambda2 0.948 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 0.948 * [taylor]: Taking taylor expansion of R in lambda2 0.949 * [taylor]: Taking taylor expansion of (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) in R 0.949 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in R 0.949 * [taylor]: Taking taylor expansion of R 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 lambda2 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.951 * [taylor]: Taking taylor expansion of 0 in R 0.953 * [taylor]: Taking taylor expansion of 0 in phi2 0.953 * [taylor]: Taking taylor expansion of 0 in lambda1 0.953 * [taylor]: Taking taylor expansion of 0 in lambda2 0.953 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in lambda1 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in lambda1 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.954 * [taylor]: Taking taylor expansion of 0 in lambda2 0.954 * [taylor]: Taking taylor expansion of 0 in R 0.955 * [taylor]: Taking taylor expansion of 0 in lambda2 0.955 * [taylor]: Taking taylor expansion of 0 in R 0.956 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 0.956 * [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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.957 * [taylor]: Taking taylor expansion of R in R 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.958 * [taylor]: Taking taylor expansion of R in lambda2 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.959 * [taylor]: Taking taylor expansion of R in lambda1 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) 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)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.961 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.961 * [taylor]: Taking taylor expansion of R in phi1 0.962 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi1 0.962 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 0.962 * [taylor]: Taking taylor expansion of R in phi1 0.963 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in phi2 0.963 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 0.963 * [taylor]: Taking taylor expansion of R in phi2 0.964 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda1 0.964 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 0.964 * [taylor]: Taking taylor expansion of R in lambda1 0.965 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in lambda2 0.965 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 0.965 * [taylor]: Taking taylor expansion of R in lambda2 0.966 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) R) in R 0.966 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in R 0.966 * [taylor]: Taking taylor expansion of R in R 0.968 * [taylor]: Taking taylor expansion of 0 in phi2 0.968 * [taylor]: Taking taylor expansion of 0 in lambda1 0.968 * [taylor]: Taking taylor expansion of 0 in lambda2 0.968 * [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 lambda2 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.970 * [taylor]: Taking taylor expansion of 0 in R 0.972 * [taylor]: Taking taylor expansion of 0 in phi2 0.972 * [taylor]: Taking taylor expansion of 0 in lambda1 0.972 * [taylor]: Taking taylor expansion of 0 in lambda2 0.972 * [taylor]: Taking taylor expansion of 0 in R 0.972 * [taylor]: Taking taylor expansion of 0 in lambda1 0.972 * [taylor]: Taking taylor expansion of 0 in lambda2 0.972 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda1 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.973 * [taylor]: Taking taylor expansion of 0 in lambda2 0.973 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in lambda2 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.974 * [taylor]: Taking taylor expansion of 0 in R 0.977 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 0.977 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.977 * [taylor]: Taking taylor expansion of -1 in R 0.977 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.977 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.981 * [taylor]: Taking taylor expansion of R in R 0.982 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.982 * [taylor]: Taking taylor expansion of -1 in lambda2 0.982 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.982 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.982 * [taylor]: Taking taylor expansion of R in lambda2 0.983 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in 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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -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))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.984 * [taylor]: Taking taylor expansion of -1 in phi2 0.984 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.984 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.984 * [taylor]: Taking taylor expansion of R in phi2 0.985 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.985 * [taylor]: Taking taylor expansion of -1 in phi1 0.985 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.985 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.985 * [taylor]: Taking taylor expansion of R in phi1 0.986 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi1 0.986 * [taylor]: Taking taylor expansion of -1 in phi1 0.986 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi1 0.986 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 0.986 * [taylor]: Taking taylor expansion of R in phi1 0.988 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in phi2 0.988 * [taylor]: Taking taylor expansion of -1 in phi2 0.988 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in phi2 0.988 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 0.988 * [taylor]: Taking taylor expansion of R in phi2 0.989 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda1 0.989 * [taylor]: Taking taylor expansion of -1 in lambda1 0.989 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda1 0.989 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 0.990 * [taylor]: Taking taylor expansion of R in lambda1 0.991 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in lambda2 0.991 * [taylor]: Taking taylor expansion of -1 in lambda2 0.991 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in lambda2 0.991 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 0.991 * [taylor]: Taking taylor expansion of R in lambda2 0.992 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R)) in R 0.992 * [taylor]: Taking taylor expansion of -1 in R 0.992 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) R) in R 0.992 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in R 0.993 * [taylor]: Taking taylor expansion of R in R 0.996 * [taylor]: Taking taylor expansion of 0 in phi2 0.996 * [taylor]: Taking taylor expansion of 0 in lambda1 0.996 * [taylor]: Taking taylor expansion of 0 in lambda2 0.996 * [taylor]: Taking taylor expansion of 0 in R 0.998 * [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 lambda2 0.999 * [taylor]: Taking taylor expansion of 0 in R 1.001 * [taylor]: Taking taylor expansion of 0 in R 1.004 * [taylor]: Taking taylor expansion of 0 in phi2 1.004 * [taylor]: Taking taylor expansion of 0 in lambda1 1.004 * [taylor]: Taking taylor expansion of 0 in lambda2 1.004 * [taylor]: Taking taylor expansion of 0 in R 1.004 * [taylor]: Taking taylor expansion of 0 in lambda1 1.004 * [taylor]: Taking taylor expansion of 0 in lambda2 1.004 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda1 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.006 * [taylor]: Taking taylor expansion of 0 in lambda2 1.006 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in lambda2 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.008 * [taylor]: Taking taylor expansion of 0 in R 1.010 * [taylor]: Taking taylor expansion of 0 in R 1.013 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 1.013 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.013 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.013 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.013 * [taylor]: Taking taylor expansion of phi1 in phi2 1.014 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.014 * [taylor]: Taking taylor expansion of phi2 in phi2 1.014 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.014 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.014 * [taylor]: Taking taylor expansion of phi1 in phi1 1.014 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.014 * [taylor]: Taking taylor expansion of phi2 in phi1 1.014 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.014 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.014 * [taylor]: Taking taylor expansion of phi1 in phi1 1.014 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.014 * [taylor]: Taking taylor expansion of phi2 in phi1 1.014 * [taylor]: Taking taylor expansion of 0 in phi2 1.016 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.016 * [taylor]: Taking taylor expansion of phi2 in phi2 1.019 * [taylor]: Taking taylor expansion of 0 in phi2 1.023 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.023 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.023 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.023 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.023 * [taylor]: Taking taylor expansion of phi2 in phi2 1.029 * [taylor]: Taking taylor expansion of 0 in phi2 1.029 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 1.029 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.029 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.029 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.029 * [taylor]: Taking taylor expansion of phi1 in phi2 1.029 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.029 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.029 * [taylor]: Taking taylor expansion of phi2 in phi2 1.030 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.030 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.030 * [taylor]: Taking taylor expansion of phi1 in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.030 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.030 * [taylor]: Taking taylor expansion of phi2 in phi1 1.030 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.030 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.030 * [taylor]: Taking taylor expansion of phi1 in phi1 1.030 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.031 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.031 * [taylor]: Taking taylor expansion of phi2 in phi1 1.031 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 1.031 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.031 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.031 * [taylor]: Taking taylor expansion of phi1 in phi2 1.031 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.031 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.031 * [taylor]: Taking taylor expansion of phi2 in phi2 1.033 * [taylor]: Taking taylor expansion of 0 in phi2 1.037 * [taylor]: Taking taylor expansion of 0 in phi2 1.042 * [taylor]: Taking taylor expansion of 0 in phi2 1.043 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.043 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.043 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.043 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.043 * [taylor]: Taking taylor expansion of -1 in phi2 1.043 * [taylor]: Taking taylor expansion of phi1 in phi2 1.043 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.043 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.043 * [taylor]: Taking taylor expansion of -1 in phi2 1.043 * [taylor]: Taking taylor expansion of phi2 in phi2 1.043 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.043 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.043 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.043 * [taylor]: Taking taylor expansion of -1 in phi1 1.043 * [taylor]: Taking taylor expansion of phi1 in phi1 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.044 * [taylor]: Taking taylor expansion of -1 in phi1 1.044 * [taylor]: Taking taylor expansion of phi2 in phi1 1.044 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.044 * [taylor]: Taking taylor expansion of -1 in phi1 1.044 * [taylor]: Taking taylor expansion of phi1 in phi1 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.044 * [taylor]: Taking taylor expansion of -1 in phi1 1.044 * [taylor]: Taking taylor expansion of phi2 in phi1 1.044 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.044 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.044 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.044 * [taylor]: Taking taylor expansion of -1 in phi2 1.045 * [taylor]: Taking taylor expansion of phi1 in phi2 1.045 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.045 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.045 * [taylor]: Taking taylor expansion of -1 in phi2 1.045 * [taylor]: Taking taylor expansion of phi2 in phi2 1.047 * [taylor]: Taking taylor expansion of 0 in phi2 1.051 * [taylor]: Taking taylor expansion of 0 in phi2 1.056 * [taylor]: Taking taylor expansion of 0 in phi2 1.056 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 1.056 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.056 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.056 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 1.056 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.056 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.056 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.056 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.056 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.056 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.056 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.056 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.056 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 1.056 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.057 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 1.057 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.057 * [taylor]: Taking taylor expansion of 0 in lambda2 1.059 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.059 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.065 * [taylor]: Taking taylor expansion of 0 in lambda2 1.069 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 1.069 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 1.069 * [taylor]: Taking taylor expansion of 1/6 in lambda2 1.069 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.069 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.075 * [taylor]: Taking taylor expansion of 0 in lambda2 1.075 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.075 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.075 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.075 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.075 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.075 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.075 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.075 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.075 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.075 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.075 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.075 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.076 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.076 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.076 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda1 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 1.076 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.076 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.076 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 1.076 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.076 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.077 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.077 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.077 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.077 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.077 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.079 * [taylor]: Taking taylor expansion of 0 in lambda2 1.083 * [taylor]: Taking taylor expansion of 0 in lambda2 1.088 * [taylor]: Taking taylor expansion of 0 in lambda2 1.088 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.088 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.088 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.088 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.088 * [taylor]: Taking taylor expansion of -1 in lambda2 1.088 * [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 -1 in lambda2 1.089 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.089 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 1.089 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.089 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.089 * [taylor]: Taking taylor expansion of -1 in lambda1 1.089 * [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 -1 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 lambda1 1.089 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 1.090 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 1.090 * [taylor]: Taking taylor expansion of -1 in lambda1 1.090 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 1.090 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 1.090 * [taylor]: Taking taylor expansion of -1 in lambda1 1.090 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.090 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 1.090 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 1.090 * [taylor]: Taking taylor expansion of -1 in lambda2 1.090 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.090 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.090 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.090 * [taylor]: Taking taylor expansion of -1 in lambda2 1.090 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.093 * [taylor]: Taking taylor expansion of 0 in lambda2 1.097 * [taylor]: Taking taylor expansion of 0 in lambda2 1.102 * [taylor]: Taking taylor expansion of 0 in lambda2 1.102 * * * [progress]: simplifying candidates 1.103 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (+ (log (sin phi1)) (log (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (* (sin phi1) 1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) R) (* (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.108 * * [simplify]: iteration 0 : 260 enodes (cost 929 ) 1.113 * * [simplify]: iteration 1 : 831 enodes (cost 774 ) 1.126 * * [simplify]: iteration 2 : 1930 enodes (cost 774 ) 1.146 * * [simplify]: iteration 3 : 3056 enodes (cost 774 ) 1.173 * * [simplify]: iteration 4 : 5001 enodes (cost 774 ) 1.176 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (pow (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 3) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) (* (sin phi1) (sin phi2)) (log (* (sin phi1) (sin phi2))) (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (sqrt (* (sin phi1) (sin phi2))) (sqrt (* (sin phi1) (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (* (sin phi1) (sqrt (sin phi2))) (sin phi1) (* (cbrt (sin phi1)) (sin phi2)) (* (sqrt (sin phi1)) (sin phi2)) (* (sin phi1) (sin phi2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2)) (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2))) (exp (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))) (cbrt (* (sin lambda1) (sin lambda2))) (pow (* (sin lambda1) (sin lambda2)) 3) (sqrt (* (sin lambda1) (sin lambda2))) (sqrt (* (sin lambda1) (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (* (sin lambda1) (sqrt (sin lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (sin lambda2)) (* (sqrt (sin lambda1)) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) 1.177 * * * [progress]: adding candidates to table 1.482 * * [progress]: iteration 3 / 4 1.482 * * * [progress]: picking best candidate 1.568 * * * * [pick]: Picked # 1.568 * * * [progress]: localizing error 1.610 * * * [progress]: generating rewritten candidates 1.610 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 1.611 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 2 2 2) 1.613 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1 2 2) 1.615 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 2 1) 1.617 * * * [progress]: generating series expansions 1.617 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 1.618 * [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 1.618 * [taylor]: Taking 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 1.618 * [taylor]: Taking 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 1.618 * [taylor]: Taking 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 1.619 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.619 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 1.620 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 1.620 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 1.620 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 1.621 * [taylor]: Taking taylor expansion of 0 in phi2 1.621 * [taylor]: Taking taylor expansion of 0 in lambda1 1.621 * [taylor]: Taking taylor expansion of 0 in lambda2 1.621 * [taylor]: Taking taylor expansion of 0 in lambda1 1.621 * [taylor]: Taking taylor expansion of 0 in lambda2 1.621 * [taylor]: Taking taylor expansion of 0 in lambda2 1.621 * [taylor]: Taking taylor expansion of 0 in phi2 1.621 * [taylor]: Taking taylor expansion of 0 in lambda1 1.621 * [taylor]: Taking taylor expansion of 0 in lambda2 1.621 * [taylor]: Taking taylor expansion of 0 in lambda1 1.621 * [taylor]: Taking taylor expansion of 0 in lambda2 1.622 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.622 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda2 1.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in lambda1 1.623 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi2 1.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.624 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (* (cos (/ 1 phi1)) (cos (/ 1 lambda1))))) (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 phi1)))))))) in phi1 1.625 * [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 1.625 * [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 1.626 * [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 lambda2 1.627 * [taylor]: Taking taylor expansion of 0 in phi2 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [taylor]: Taking taylor expansion of 0 in phi2 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.627 * [taylor]: Taking taylor expansion of 0 in lambda1 1.627 * [taylor]: Taking taylor expansion of 0 in lambda2 1.628 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.628 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.629 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.630 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 1.631 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 1.631 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 1.632 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 1.633 * [taylor]: Taking taylor expansion of 0 in phi2 1.633 * [taylor]: Taking taylor expansion of 0 in lambda1 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [taylor]: Taking taylor expansion of 0 in lambda1 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [taylor]: Taking taylor expansion of 0 in phi2 1.633 * [taylor]: Taking taylor expansion of 0 in lambda1 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.633 * [taylor]: Taking taylor expansion of 0 in lambda1 1.633 * [taylor]: Taking taylor expansion of 0 in lambda2 1.634 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 2 2 2) 1.634 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 1.634 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.634 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.634 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.634 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.634 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.634 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.634 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.636 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.636 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.636 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.636 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.636 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.636 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.636 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.660 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 1.660 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.660 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.660 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.660 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.660 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.661 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.661 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.661 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.661 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.661 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.661 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.661 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.661 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.661 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.697 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 1.697 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.697 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.697 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.697 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.697 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.697 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.697 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.697 * [taylor]: Taking taylor expansion of -1 in lambda2 1.697 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.698 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.698 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.698 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.698 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.698 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.698 * [taylor]: Taking taylor expansion of -1 in lambda2 1.698 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.729 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1 2 2) 1.730 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 1.730 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.730 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.730 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.730 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.730 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.730 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.730 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.731 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.731 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.731 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.731 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.731 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.754 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 1.754 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.754 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.754 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.754 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.754 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.754 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.754 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.754 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.755 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.755 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.755 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.755 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.755 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.755 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.755 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.755 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.808 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 1.808 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.808 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.808 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.808 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.808 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.808 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.808 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.808 * [taylor]: Taking taylor expansion of -1 in lambda2 1.808 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.809 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.809 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.809 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.809 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.809 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.809 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.809 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.809 * [taylor]: Taking taylor expansion of -1 in lambda2 1.809 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.850 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 2 1) 1.850 * [approximate]: Taking taylor expansion of (pow (sin lambda2) 1/3) in (lambda2) around 0 1.850 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.850 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.850 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.850 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.850 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.851 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 1/3) in lambda2 1.851 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin lambda2)))) in lambda2 1.851 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin lambda2))) in lambda2 1.851 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.851 * [taylor]: Taking taylor expansion of (log (sin lambda2)) in lambda2 1.851 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 1.851 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.879 * [approximate]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in (lambda2) around 0 1.879 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.879 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.879 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.879 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.879 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.879 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.879 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.879 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.880 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 1/3) in lambda2 1.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ 1 lambda2))))) in lambda2 1.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ 1 lambda2)))) in lambda2 1.880 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.880 * [taylor]: Taking taylor expansion of (log (sin (/ 1 lambda2))) in lambda2 1.880 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 1.880 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.880 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.911 * [approximate]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in (lambda2) around 0 1.911 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.911 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.911 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.911 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.911 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.911 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.911 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.911 * [taylor]: Taking taylor expansion of -1 in lambda2 1.911 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.912 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 1/3) in lambda2 1.912 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (sin (/ -1 lambda2))))) in lambda2 1.912 * [taylor]: Taking taylor expansion of (* 1/3 (log (sin (/ -1 lambda2)))) in lambda2 1.912 * [taylor]: Taking taylor expansion of 1/3 in lambda2 1.912 * [taylor]: Taking taylor expansion of (log (sin (/ -1 lambda2))) in lambda2 1.912 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 1.912 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 1.912 * [taylor]: Taking taylor expansion of -1 in lambda2 1.912 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.943 * * * [progress]: simplifying candidates 1.944 * [simplify]: Simplifying using # : (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (cbrt (sin lambda2)) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (* (* (cbrt (sin lambda2)) (cbrt (sin lambda2))) (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) 1.948 * * [simplify]: iteration 0 : 138 enodes (cost 507 ) 1.951 * * [simplify]: iteration 1 : 324 enodes (cost 445 ) 1.957 * * [simplify]: iteration 2 : 863 enodes (cost 439 ) 1.974 * * [simplify]: iteration 3 : 3015 enodes (cost 436 ) 2.047 * * [simplify]: iteration 4 : 5001 enodes (cost 436 ) 2.050 * [simplify]: Simplified to: (/ PI 2) (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (pow (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 3) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2)))))))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (pow (sin lambda2) 1/3) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (pow (sin lambda2) 1/3) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (log (cbrt (sin lambda2))) (exp (cbrt (sin lambda2))) (cbrt (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt (sqrt (sin lambda2))) (cbrt 1) (pow (sin lambda2) 1/3) (* (cbrt (cbrt (sin lambda2))) (cbrt (cbrt (sin lambda2)))) (cbrt (cbrt (sin lambda2))) (sin lambda2) (sqrt (cbrt (sin lambda2))) (sqrt (cbrt (sin lambda2))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) (- (pow lambda2 1/3) (+ (* 1/18 (pow (pow lambda2 7) 1/3)) (* 1/3240 (pow (pow lambda2 13) 1/3)))) (pow (sin lambda2) 1/3) (pow (sin lambda2) 1/3) 2.050 * * * [progress]: adding candidates to table 2.322 * * [progress]: iteration 4 / 4 2.323 * * * [progress]: picking best candidate 2.403 * * * * [pick]: Picked # 2.403 * * * [progress]: localizing error 2.438 * * * [progress]: generating rewritten candidates 2.438 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 2.441 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 2.443 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 2.448 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1 1) 2.454 * * * [progress]: generating series expansions 2.454 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 2.455 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.455 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.455 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.455 * [taylor]: Taking taylor expansion of phi1 in phi2 2.455 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.455 * [taylor]: Taking taylor expansion of phi2 in phi2 2.455 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.455 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.455 * [taylor]: Taking taylor expansion of phi1 in phi1 2.455 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.455 * [taylor]: Taking taylor expansion of phi2 in phi1 2.455 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.455 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.455 * [taylor]: Taking taylor expansion of phi1 in phi1 2.455 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.455 * [taylor]: Taking taylor expansion of phi2 in phi1 2.455 * [taylor]: Taking taylor expansion of 0 in phi2 2.458 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.458 * [taylor]: Taking taylor expansion of phi2 in phi2 2.460 * [taylor]: Taking taylor expansion of 0 in phi2 2.468 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.468 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.468 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.468 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.468 * [taylor]: Taking taylor expansion of phi2 in phi2 2.474 * [taylor]: Taking taylor expansion of 0 in phi2 2.474 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.474 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.474 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.474 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.474 * [taylor]: Taking taylor expansion of phi1 in phi2 2.474 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.474 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.474 * [taylor]: Taking taylor expansion of phi2 in phi2 2.474 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.474 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.475 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.475 * [taylor]: Taking taylor expansion of phi1 in phi1 2.475 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.475 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.475 * [taylor]: Taking taylor expansion of phi2 in phi1 2.475 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.475 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.475 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.475 * [taylor]: Taking taylor expansion of phi1 in phi1 2.475 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.475 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.475 * [taylor]: Taking taylor expansion of phi2 in phi1 2.476 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.476 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.476 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.476 * [taylor]: Taking taylor expansion of phi1 in phi2 2.476 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.476 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.476 * [taylor]: Taking taylor expansion of phi2 in phi2 2.478 * [taylor]: Taking taylor expansion of 0 in phi2 2.482 * [taylor]: Taking taylor expansion of 0 in phi2 2.487 * [taylor]: Taking taylor expansion of 0 in phi2 2.487 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.487 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.487 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.487 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.487 * [taylor]: Taking taylor expansion of -1 in phi2 2.487 * [taylor]: Taking taylor expansion of phi1 in phi2 2.487 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.487 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.487 * [taylor]: Taking taylor expansion of -1 in phi2 2.487 * [taylor]: Taking taylor expansion of phi2 in phi2 2.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.488 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.488 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.488 * [taylor]: Taking taylor expansion of -1 in phi1 2.488 * [taylor]: Taking taylor expansion of phi1 in phi1 2.488 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.488 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.488 * [taylor]: Taking taylor expansion of -1 in phi1 2.488 * [taylor]: Taking taylor expansion of phi2 in phi1 2.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.488 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.488 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.488 * [taylor]: Taking taylor expansion of -1 in phi1 2.488 * [taylor]: Taking taylor expansion of phi1 in phi1 2.489 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.489 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.489 * [taylor]: Taking taylor expansion of -1 in phi1 2.489 * [taylor]: Taking taylor expansion of phi2 in phi1 2.489 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.489 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.489 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.489 * [taylor]: Taking taylor expansion of -1 in phi2 2.489 * [taylor]: Taking taylor expansion of phi1 in phi2 2.489 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.489 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.489 * [taylor]: Taking taylor expansion of -1 in phi2 2.489 * [taylor]: Taking taylor expansion of phi2 in phi2 2.491 * [taylor]: Taking taylor expansion of 0 in phi2 2.495 * [taylor]: Taking taylor expansion of 0 in phi2 2.501 * [taylor]: Taking taylor expansion of 0 in phi2 2.501 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 2.501 * [approximate]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in (phi1 phi2 lambda1 lambda2) around 0 2.501 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.502 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.502 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.503 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.503 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi1 2.503 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in phi2 2.504 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda1 2.504 * [taylor]: Taking taylor expansion of (acos (+ (* (sin phi1) (sin phi2)) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2))))))) in lambda2 2.505 * [taylor]: Taking taylor expansion of 0 in phi2 2.505 * [taylor]: Taking taylor expansion of 0 in lambda1 2.505 * [taylor]: Taking taylor expansion of 0 in lambda2 2.505 * [taylor]: Taking taylor expansion of 0 in lambda1 2.505 * [taylor]: Taking taylor expansion of 0 in lambda2 2.505 * [taylor]: Taking taylor expansion of 0 in lambda2 2.505 * [taylor]: Taking taylor expansion of 0 in phi2 2.505 * [taylor]: Taking taylor expansion of 0 in lambda1 2.505 * [taylor]: Taking taylor expansion of 0 in lambda2 2.505 * [taylor]: Taking taylor expansion of 0 in lambda1 2.505 * [taylor]: Taking taylor expansion of 0 in lambda2 2.506 * [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 2.506 * [taylor]: Taking taylor 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 2.507 * [taylor]: Taking taylor 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 2.507 * [taylor]: Taking taylor 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 2.507 * [taylor]: Taking taylor 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 2.508 * [taylor]: Taking taylor 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 2.508 * [taylor]: Taking taylor 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 2.509 * [taylor]: Taking taylor 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 2.509 * [taylor]: Taking taylor 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 2.511 * [taylor]: Taking taylor expansion of 0 in phi2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.511 * [taylor]: Taking taylor expansion of 0 in phi2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.511 * [taylor]: Taking taylor expansion of 0 in lambda1 2.511 * [taylor]: Taking taylor expansion of 0 in lambda2 2.512 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.512 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.512 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.513 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.513 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.514 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi1 2.514 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in phi2 2.515 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda1 2.515 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))) (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (* (sin (/ -1 phi1)) (sin (/ -1 phi2)))))) in lambda2 2.516 * [taylor]: Taking taylor expansion of 0 in phi2 2.516 * [taylor]: Taking taylor expansion of 0 in lambda1 2.517 * [taylor]: Taking taylor expansion of 0 in lambda2 2.517 * [taylor]: Taking taylor expansion of 0 in lambda1 2.517 * [taylor]: Taking taylor expansion of 0 in lambda2 2.517 * [taylor]: Taking taylor expansion of 0 in lambda2 2.517 * [taylor]: Taking taylor expansion of 0 in phi2 2.517 * [taylor]: Taking taylor expansion of 0 in lambda1 2.517 * [taylor]: Taking taylor expansion of 0 in lambda2 2.517 * [taylor]: Taking taylor expansion of 0 in lambda1 2.517 * [taylor]: Taking taylor expansion of 0 in lambda2 2.517 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 2.518 * [approximate]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in (phi1 phi2) around 0 2.518 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi2 2.518 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.518 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.518 * [taylor]: Taking taylor expansion of phi1 in phi2 2.518 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.518 * [taylor]: Taking taylor expansion of phi2 in phi2 2.520 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.520 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.520 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.520 * [taylor]: Taking taylor expansion of phi1 in phi1 2.520 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.520 * [taylor]: Taking taylor expansion of phi2 in phi1 2.522 * [taylor]: Taking taylor expansion of (pow (* (sin phi1) (sin phi2)) 3) in phi1 2.522 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.522 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.522 * [taylor]: Taking taylor expansion of phi1 in phi1 2.522 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.522 * [taylor]: Taking taylor expansion of phi2 in phi1 2.525 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.525 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.525 * [taylor]: Taking taylor expansion of phi2 in phi2 2.528 * [taylor]: Taking taylor expansion of 0 in phi2 2.534 * [taylor]: Taking taylor expansion of (- (* 1/2 (pow (sin phi2) 3))) in phi2 2.534 * [taylor]: Taking taylor expansion of (* 1/2 (pow (sin phi2) 3)) in phi2 2.534 * [taylor]: Taking taylor expansion of 1/2 in phi2 2.535 * [taylor]: Taking taylor expansion of (pow (sin phi2) 3) in phi2 2.535 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.535 * [taylor]: Taking taylor expansion of phi2 in phi2 2.538 * [approximate]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in (phi1 phi2) around 0 2.538 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi2 2.538 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.538 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.538 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.538 * [taylor]: Taking taylor expansion of phi1 in phi2 2.539 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.539 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.539 * [taylor]: Taking taylor expansion of phi2 in phi2 2.539 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.539 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.539 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.539 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.539 * [taylor]: Taking taylor expansion of phi1 in phi1 2.539 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.539 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.539 * [taylor]: Taking taylor expansion of phi2 in phi1 2.540 * [taylor]: Taking taylor expansion of (pow (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) 3) in phi1 2.540 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.540 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.540 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.540 * [taylor]: Taking taylor expansion of phi1 in phi1 2.540 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.540 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.540 * [taylor]: Taking taylor expansion of phi2 in phi1 2.541 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 phi1)) 3) (pow (sin (/ 1 phi2)) 3)) in phi2 2.541 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi1)) 3) in phi2 2.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.541 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.541 * [taylor]: Taking taylor expansion of phi1 in phi2 2.541 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 phi2)) 3) in phi2 2.541 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.541 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.541 * [taylor]: Taking taylor expansion of phi2 in phi2 2.544 * [taylor]: Taking taylor expansion of 0 in phi2 2.553 * [taylor]: Taking taylor expansion of 0 in phi2 2.561 * [taylor]: Taking taylor expansion of 0 in phi2 2.562 * [approximate]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in (phi1 phi2) around 0 2.562 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi2 2.562 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.562 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.562 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.562 * [taylor]: Taking taylor expansion of -1 in phi2 2.562 * [taylor]: Taking taylor expansion of phi1 in phi2 2.562 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.562 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.562 * [taylor]: Taking taylor expansion of -1 in phi2 2.562 * [taylor]: Taking taylor expansion of phi2 in phi2 2.562 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.562 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.562 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.562 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.562 * [taylor]: Taking taylor expansion of -1 in phi1 2.562 * [taylor]: Taking taylor expansion of phi1 in phi1 2.563 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.563 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.563 * [taylor]: Taking taylor expansion of -1 in phi1 2.563 * [taylor]: Taking taylor expansion of phi2 in phi1 2.563 * [taylor]: Taking taylor expansion of (pow (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 3) in phi1 2.563 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.563 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.563 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.563 * [taylor]: Taking taylor expansion of -1 in phi1 2.563 * [taylor]: Taking taylor expansion of phi1 in phi1 2.564 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.564 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.564 * [taylor]: Taking taylor expansion of -1 in phi1 2.564 * [taylor]: Taking taylor expansion of phi2 in phi1 2.564 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 phi1)) 3) (pow (sin (/ -1 phi2)) 3)) in phi2 2.564 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi1)) 3) in phi2 2.564 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.564 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.564 * [taylor]: Taking taylor expansion of -1 in phi2 2.564 * [taylor]: Taking taylor expansion of phi1 in phi2 2.564 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 phi2)) 3) in phi2 2.565 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.565 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.565 * [taylor]: Taking taylor expansion of -1 in phi2 2.565 * [taylor]: Taking taylor expansion of phi2 in phi2 2.568 * [taylor]: Taking taylor expansion of 0 in phi2 2.573 * [taylor]: Taking taylor expansion of 0 in phi2 2.581 * [taylor]: Taking taylor expansion of 0 in phi2 2.581 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1 1) 2.581 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 2.581 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 2.581 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 2.581 * [taylor]: Taking taylor expansion of phi1 in phi2 2.581 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.581 * [taylor]: Taking taylor expansion of phi2 in phi2 2.581 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.581 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.581 * [taylor]: Taking taylor expansion of phi1 in phi1 2.581 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.581 * [taylor]: Taking taylor expansion of phi2 in phi1 2.581 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 2.581 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 2.581 * [taylor]: Taking taylor expansion of phi1 in phi1 2.581 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 2.581 * [taylor]: Taking taylor expansion of phi2 in phi1 2.582 * [taylor]: Taking taylor expansion of 0 in phi2 2.584 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.584 * [taylor]: Taking taylor expansion of phi2 in phi2 2.587 * [taylor]: Taking taylor expansion of 0 in phi2 2.591 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 2.591 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 2.591 * [taylor]: Taking taylor expansion of 1/6 in phi2 2.591 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 2.591 * [taylor]: Taking taylor expansion of phi2 in phi2 2.596 * [taylor]: Taking taylor expansion of 0 in phi2 2.597 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in (phi1 phi2) around 0 2.597 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.597 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.597 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.597 * [taylor]: Taking taylor expansion of phi1 in phi2 2.597 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.597 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.597 * [taylor]: Taking taylor expansion of phi2 in phi2 2.597 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.597 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.597 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.597 * [taylor]: Taking taylor expansion of phi1 in phi1 2.597 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.597 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.598 * [taylor]: Taking taylor expansion of phi2 in phi1 2.598 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi1 2.598 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 2.598 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 2.598 * [taylor]: Taking taylor expansion of phi1 in phi1 2.598 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 2.598 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 2.598 * [taylor]: Taking taylor expansion of phi2 in phi1 2.598 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) in phi2 2.598 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 2.598 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 2.598 * [taylor]: Taking taylor expansion of phi1 in phi2 2.598 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 2.598 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 2.598 * [taylor]: Taking taylor expansion of phi2 in phi2 2.601 * [taylor]: Taking taylor expansion of 0 in phi2 2.604 * [taylor]: Taking taylor expansion of 0 in phi2 2.610 * [taylor]: Taking taylor expansion of 0 in phi2 2.610 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 2.610 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.610 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.610 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.610 * [taylor]: Taking taylor expansion of -1 in phi2 2.610 * [taylor]: Taking taylor expansion of phi1 in phi2 2.610 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.610 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.610 * [taylor]: Taking taylor expansion of -1 in phi2 2.610 * [taylor]: Taking taylor expansion of phi2 in phi2 2.611 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.611 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.611 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.611 * [taylor]: Taking taylor expansion of -1 in phi1 2.611 * [taylor]: Taking taylor expansion of phi1 in phi1 2.611 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.611 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.611 * [taylor]: Taking taylor expansion of -1 in phi1 2.611 * [taylor]: Taking taylor expansion of phi2 in phi1 2.611 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 2.611 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 2.611 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 2.611 * [taylor]: Taking taylor expansion of -1 in phi1 2.611 * [taylor]: Taking taylor expansion of phi1 in phi1 2.611 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 2.612 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 2.612 * [taylor]: Taking taylor expansion of -1 in phi1 2.612 * [taylor]: Taking taylor expansion of phi2 in phi1 2.612 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 2.612 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 2.612 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 2.612 * [taylor]: Taking taylor expansion of -1 in phi2 2.612 * [taylor]: Taking taylor expansion of phi1 in phi2 2.612 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 2.612 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 2.612 * [taylor]: Taking taylor expansion of -1 in phi2 2.612 * [taylor]: Taking taylor expansion of phi2 in phi2 2.614 * [taylor]: Taking taylor expansion of 0 in phi2 2.618 * [taylor]: Taking taylor expansion of 0 in phi2 2.623 * [taylor]: Taking taylor expansion of 0 in phi2 2.623 * * * [progress]: simplifying candidates 2.625 * [simplify]: Simplifying using # : (log (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (exp (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (sin phi1) 3)) (cbrt (pow (sin phi2) 3)) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt 1) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (* (sin phi1) (sin phi2)) (/ 3 2))) (cbrt (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3)) (cbrt (pow 2 3)) (* (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3)))) (cbrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (* (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (sqrt (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (+ (log (sin phi1)) (log (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* (log (* (sin phi1) (sin phi2))) 3) (* 1 3) (* 1 3) (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (pow (* (sin phi1) (sin phi2)) 1) (pow (sin phi1) 3) (pow (sin phi2) 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (* (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (cbrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) (pow 2 3) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (pow (* (sin phi1) (sin phi2)) (/ 3 2)) (- (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 lambda1) (* (cos phi1) (* (cos phi2) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi1) (* (cos phi2) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (- (* (pow phi2 3) (pow phi1 3)) (+ (* 1/2 (* (pow phi2 5) (pow phi1 3))) (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* (pow (sin phi1) 3) (pow (sin phi2) 3)) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.629 * * [simplify]: iteration 0 : 265 enodes (cost 595 ) 2.635 * * [simplify]: iteration 1 : 984 enodes (cost 538 ) 2.659 * * [simplify]: iteration 2 : 5002 enodes (cost 537 ) 2.662 * [simplify]: Simplified to: (log (* (sin phi1) (sin phi2))) (exp (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (sin phi1) (sin phi2) (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) (cbrt (sqrt (pow (* (sin phi1) (sin phi2)) 3))) 1 (* (sin phi1) (sin phi2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (cbrt (pow (* (sin phi1) (sin phi2)) 3/2)) (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2 (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))) (cbrt (* (sin phi1) (sin phi2))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 1/2) (pow (* (sin phi1) (sin phi2)) 1/2) (/ PI 2) (asin (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) (log (pow (* (sin phi1) (sin phi2)) 3)) 3 3 (pow (* (sin phi1) (sin phi2)) (* (cbrt 3) (cbrt 3))) (pow (* (sin phi1) (sin phi2)) (sqrt 3)) (* (sin phi1) (sin phi2)) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (* (sin phi1) (sin phi2)) 2) (log (pow (* (sin phi1) (sin phi2)) 3)) (exp (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 2) (* (sin phi1) (sin phi2)) (pow (pow (* (sin phi1) (sin phi2)) 3) 3) (pow (sin phi1) 3) (pow (sin phi2) 3) (pow (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 3) 8 (pow (* (sin phi1) (sin phi2)) 2) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (sqrt (pow (* (sin phi1) (sin phi2)) 3)) (pow (* (sin phi1) (sin phi2)) 3/2) (pow (* (sin phi1) (sin phi2)) 3/2) (- (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) (pow (* (sin phi1) (sin phi2)) 1/2) (pow (* (sin phi1) (sin phi2)) 1/2) (* (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 (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (cbrt (pow (* (sin phi1) (sin phi2)) 3)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (* (pow phi1 3) (- (pow phi2 3) (* 1/2 (pow phi2 5)))) (- (* 1/2 (* (pow phi2 3) (pow phi1 5))))) (pow (* (sin phi1) (sin phi2)) 3) (pow (* (sin phi1) (sin phi2)) 3) (* phi2 phi1) (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)) 2.663 * * * [progress]: adding candidates to table 3.068 * [progress]: [Phase 3 of 3] Extracting. 3.068 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # #) 3.083 * * * [regime-changes]: Trying 10 branch expressions: ((- lambda1 lambda2) (cos (- lambda1 lambda2)) (+ (* (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) phi2 phi1 lambda2 lambda1 R) 3.084 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # # # # # # #) 3.193 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # #) 3.229 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # # # # # # #) 3.340 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # #) 3.380 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # # # # # # # # # # # # # #) 3.502 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (# # # #) 3.551 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # # # # # # # # # # # # # #) 3.677 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (# # # #) 3.730 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# # # # # # # # # # # # # # # #) 3.854 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (# #) 3.901 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # #) 4.005 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # #) 4.109 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # #) 4.211 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # #) 4.317 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # #) 4.424 * * * [regime]: Found split indices: #