22.938 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.177 * * * [progress]: [2/2] Setting up program. 0.183 * [progress]: [Phase 2 of 3] Improving. 0.184 * [simplify]: Simplifying using # : (+ lambda1 (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) 0.185 * * [simplify]: iteration 0 : 20 enodes (cost 12 ) 0.186 * * [simplify]: iteration 1 : 21 enodes (cost 12 ) 0.188 * * [simplify]: iteration 2 : 21 enodes (cost 12 ) 0.188 * [simplify]: Simplified to: (+ lambda1 (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) 0.188 * * [progress]: iteration 1 / 4 0.188 * * * [progress]: picking best candidate 0.194 * * * * [pick]: Picked # 0.194 * * * [progress]: localizing error 0.220 * * * [progress]: generating rewritten candidates 0.220 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 0.225 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2) 0.228 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2) 0.233 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 0.234 * [approximate]: Approximating (sin (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.236 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.240 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.244 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.250 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 0.252 * [approximate]: Approximating (sin (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.255 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.256 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.256 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.256 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.257 * [approximate]: Approximating (sin (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.260 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.260 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.261 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.261 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.261 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2) 0.261 * [approximate]: Approximating (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 0.262 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.265 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.269 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 0.272 * [approximate]: Approximating (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 0.275 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.276 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.276 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.276 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 0.276 * [approximate]: Approximating (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 0.279 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.280 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.280 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.280 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 0.280 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2) 0.280 * [approximate]: Approximating (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0 0.282 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.283 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.283 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.290 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.290 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.290 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.295 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.295 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.297 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.505 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 0.505 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.505 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.505 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.505 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.510 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 0.511 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 0.513 * [approximate]: Approximating (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 0.518 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.520 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 0.522 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.530 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.530 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 0.530 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.536 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 0.536 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.541 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.553 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 0.553 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 0.553 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.553 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 0.553 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 0.553 * [approximate]: Approximating (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 0.559 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.561 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.563 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.571 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.571 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.571 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.581 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.581 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.586 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.599 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 0.599 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.599 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.599 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 0.599 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 0.599 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 0.600 * [approximate]: Approximating (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in (phi2 lambda1 lambda2 phi1) around 0 0.601 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda2 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda2 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda2 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda2 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi1 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in lambda2 0.602 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi1 0.603 * [approximate]: Approximating (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in (phi2 lambda1 lambda2 phi1) around 0 0.604 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda1 0.604 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2 0.604 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda1 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda1 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in lambda2 0.605 * [taylor]: Taking taylor expansion of (atan2 (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) in phi1 0.606 * [approximate]: Approximating (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in (phi2 lambda1 lambda2 phi1) around 0 0.607 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda1 0.607 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda2 0.607 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in phi1 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda1 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda2 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in phi1 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda2 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in phi1 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in phi1 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda1 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda2 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in phi1 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in lambda2 0.608 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) in phi1 0.609 * * * [progress]: simplifying candidates 0.609 * [simplify]: Simplifying using # : (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg 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))) (* (exp (cos phi1)) (exp (* (cos phi2) (cos (- lambda1 lambda2))))) (log (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (exp (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (* (cbrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (cbrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (cbrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (* (* (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (sqrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (sqrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (+ (pow (cos phi1) 3) (pow (* (cos phi2) (cos (- lambda1 lambda2))) 3)) (+ (* (cos phi1) (cos phi1)) (- (* (* (cos phi2) (cos (- lambda1 lambda2))) (* (cos phi2) (cos (- lambda1 lambda2)))) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (- (* (cos phi1) (cos phi1)) (* (* (cos phi2) (cos (- lambda1 lambda2))) (* (cos phi2) (cos (- lambda1 lambda2))))) (- (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) (+ (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos phi2))) (log (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (exp (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (* (cbrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (cbrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (cbrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (* (* (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (sqrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (sqrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (- 2 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 0.613 * * [simplify]: iteration 0 : 205 enodes (cost 421 ) 0.616 * * [simplify]: iteration 1 : 508 enodes (cost 374 ) 0.624 * * [simplify]: iteration 2 : 1327 enodes (cost 374 ) 0.648 * * [simplify]: iteration 3 : 3685 enodes (cost 374 ) 0.727 * * [simplify]: iteration 4 : 5001 enodes (cost 374 ) 0.729 * [simplify]: Simplified to: (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (pow (sin (- lambda1 lambda2)) 3) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg 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))) (exp (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (log (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (exp (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (* (cbrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (cbrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (cbrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (sqrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (sqrt (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))) (+ (pow (cos phi1) 3) (pow (* (cos phi2) (cos (- lambda1 lambda2))) 3)) (+ (* (* (cos phi2) (cos (- lambda1 lambda2))) (- (* (cos phi2) (cos (- lambda1 lambda2))) (cos phi1))) (* (cos phi1) (cos phi1))) (- (* (cos phi1) (cos phi1)) (* (* (cos phi2) (cos (- lambda1 lambda2))) (* (cos phi2) (cos (- lambda1 lambda2))))) (- (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos phi2))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos phi2))) (log (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (exp (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (* (cbrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (cbrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2))))))) (cbrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (pow (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (sqrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (sqrt (atan2 (* (cos phi2) (sin (- lambda1 lambda2))) (+ (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) (- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (+ (* -1/2 (+ (pow phi1 2) (pow phi2 2))) 2) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 0.730 * * * [progress]: adding candidates to table 0.993 * * [progress]: iteration 2 / 4 0.993 * * * [progress]: picking best candidate 1.089 * * * * [pick]: Picked # 1.089 * * * [progress]: localizing error 1.118 * * * [progress]: generating rewritten candidates 1.118 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 1.122 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2) 1.126 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 2 2 2) 1.131 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.138 * * * [progress]: generating series expansions 1.138 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 1.139 * [approximate]: Approximating (sin (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.140 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 1.143 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 1.147 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 1.156 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 1.158 * [approximate]: Approximating (sin (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.161 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.162 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.162 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.162 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.162 * [approximate]: Approximating (sin (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.165 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.166 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.166 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.166 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.166 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2) 1.166 * [approximate]: Approximating (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 1.170 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.171 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 1.172 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 1.186 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.186 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 1.186 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 1.197 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 1.197 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 1.203 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 1.223 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 1.223 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 1.223 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 1.223 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 1.241 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 1.242 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 1.244 * [approximate]: Approximating (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.252 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in phi2 1.255 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 1.259 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 1.277 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in phi2 1.277 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 1.277 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 1.289 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 1.289 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 1.302 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 1.337 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in phi2 1.337 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 1.337 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 1.337 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 1.337 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 1.338 * [approximate]: Approximating (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.346 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in phi2 1.350 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 1.353 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 1.372 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in phi2 1.372 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 1.372 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 1.384 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 1.385 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 1.400 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 1.431 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in phi2 1.431 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 1.431 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 1.431 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 1.431 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 1.432 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 2 2 2) 1.432 * [approximate]: Approximating (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 1.432 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.435 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.439 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.445 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.452 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 1.452 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.454 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.457 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.462 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.468 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 1.469 * [approximate]: Approximating (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 1.470 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.473 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.481 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.488 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 1.488 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.488 * [approximate]: Approximating (* (sin (- lambda1 lambda2)) (cos phi2)) in (phi2 lambda1 lambda2) around 0 1.489 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda1 1.489 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda2 1.493 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda1 1.493 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda2 1.495 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda2 1.501 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda1 1.501 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda2 1.502 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda2 1.505 * [taylor]: Taking taylor expansion of (* (sin (- lambda1 lambda2)) (cos phi2)) in lambda2 1.508 * [approximate]: Approximating (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in (phi2 lambda1 lambda2) around 0 1.512 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda1 1.513 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda2 1.518 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda1 1.518 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda2 1.520 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda2 1.527 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda1 1.527 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda2 1.527 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda2 1.530 * [taylor]: Taking taylor expansion of (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi2))) in lambda2 1.531 * [approximate]: Approximating (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in (phi2 lambda1 lambda2) around 0 1.534 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.536 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.540 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.540 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.543 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.549 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.549 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.549 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.552 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (sin (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.553 * * * [progress]: simplifying candidates 1.556 * [simplify]: Simplifying using # : (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (* (exp (cos phi1)) (exp (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) (+ (* (cos phi1) (cos phi1)) (- (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos phi1) (cos phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos 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)) (* (cos phi2) (sin (- lambda1 lambda2))) (+ (log (cos phi2)) (log (sin (- lambda1 lambda2)))) (log (* (cos phi2) (sin (- lambda1 lambda2)))) (exp (* (cos phi2) (sin (- lambda1 lambda2)))) (* (* (* (cos phi2) (cos phi2)) (cos phi2)) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2)))) (* (cbrt (* (cos phi2) (sin (- lambda1 lambda2)))) (cbrt (* (cos phi2) (sin (- lambda1 lambda2))))) (cbrt (* (cos phi2) (sin (- lambda1 lambda2)))) (* (* (* (cos phi2) (sin (- lambda1 lambda2))) (* (cos phi2) (sin (- lambda1 lambda2)))) (* (cos phi2) (sin (- lambda1 lambda2)))) (sqrt (* (cos phi2) (sin (- lambda1 lambda2)))) (sqrt (* (cos phi2) (sin (- lambda1 lambda2)))) (* (sqrt (cos phi2)) (sqrt (sin (- lambda1 lambda2)))) (* (sqrt (cos phi2)) (sqrt (sin (- lambda1 lambda2)))) (* (cos phi2) (* (sin lambda1) (cos (neg lambda2)))) (* (cos phi2) (* (cos lambda1) (sin (neg lambda2)))) (* (cos phi2) (* (sin lambda1) (cos (neg lambda2)))) (* (cos phi2) (* (cos lambda1) (sin (neg lambda2)))) (* (* (sin lambda1) (cos (neg lambda2))) (cos phi2)) (* (* (cos lambda1) (sin (neg lambda2))) (cos phi2)) (* (* (sin lambda1) (cos (neg lambda2))) (cos phi2)) (* (* (cos lambda1) (sin (neg lambda2))) (cos phi2)) (* (cos phi2) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2))))) (* (cos phi2) (sqrt (sin (- lambda1 lambda2)))) (* (cos phi2) 1) (* (cbrt (cos phi2)) (sin (- lambda1 lambda2))) (* (sqrt (cos phi2)) (sin (- lambda1 lambda2))) (* (cos phi2) (sin (- lambda1 lambda2))) (- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (- 2 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- lambda1 lambda2) (* (sin (- lambda1 lambda2)) (cos phi2)) (* (sin (- lambda1 lambda2)) (cos phi2)) 1.561 * * [simplify]: iteration 0 : 309 enodes (cost 578 ) 1.567 * * [simplify]: iteration 1 : 1149 enodes (cost 513 ) 1.590 * * [simplify]: iteration 2 : 5002 enodes (cost 513 ) 1.592 * [simplify]: Simplified to: (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (pow (sin (- lambda1 lambda2)) 3) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (exp (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (- (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))) (* (cos phi1) (cos phi1))) (- (* (cos phi1) (cos phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos phi2))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos 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)) (* (cos phi2) (sin (- lambda1 lambda2))) (log (* (cos phi2) (sin (- lambda1 lambda2)))) (log (* (cos phi2) (sin (- lambda1 lambda2)))) (exp (* (cos phi2) (sin (- lambda1 lambda2)))) (pow (* (cos phi2) (sin (- lambda1 lambda2))) 3) (* (cbrt (* (cos phi2) (sin (- lambda1 lambda2)))) (cbrt (* (cos phi2) (sin (- lambda1 lambda2))))) (cbrt (* (cos phi2) (sin (- lambda1 lambda2)))) (pow (* (cos phi2) (sin (- lambda1 lambda2))) 3) (sqrt (* (cos phi2) (sin (- lambda1 lambda2)))) (sqrt (* (cos phi2) (sin (- lambda1 lambda2)))) (* (sqrt (cos phi2)) (sqrt (sin (- lambda1 lambda2)))) (* (sqrt (cos phi2)) (sqrt (sin (- lambda1 lambda2)))) (* (* (cos phi2) (sin lambda1)) (cos lambda2)) (* (cos phi2) (* (cos lambda1) (sin (neg lambda2)))) (* (* (cos phi2) (sin lambda1)) (cos lambda2)) (* (cos phi2) (* (cos lambda1) (sin (neg lambda2)))) (* (* (cos phi2) (sin lambda1)) (cos lambda2)) (* (cos phi2) (* (cos lambda1) (sin (neg lambda2)))) (* (* (cos phi2) (sin lambda1)) (cos lambda2)) (* (cos phi2) (* (cos lambda1) (sin (neg lambda2)))) (* (cos phi2) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2))))) (* (cos phi2) (sqrt (sin (- lambda1 lambda2)))) (cos phi2) (* (cbrt (cos phi2)) (sin (- lambda1 lambda2))) (* (sqrt (cos phi2)) (sin (- lambda1 lambda2))) (* (cos phi2) (sin (- lambda1 lambda2))) (- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (+ (* -1/2 (+ (pow phi1 2) (pow phi2 2))) 2) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- lambda1 lambda2) (* (cos phi2) (sin (- lambda1 lambda2))) (* (cos phi2) (sin (- lambda1 lambda2))) 1.593 * * * [progress]: adding candidates to table 1.992 * * [progress]: iteration 3 / 4 1.992 * * * [progress]: picking best candidate 2.069 * * * * [pick]: Picked # 2.069 * * * [progress]: localizing error 2.098 * * * [progress]: generating rewritten candidates 2.098 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.102 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 2 2 2) 2.107 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 2.111 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 2.113 * * * [progress]: generating series expansions 2.113 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.113 * [approximate]: Approximating (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in (phi1 phi2 lambda1 lambda2) around 0 2.116 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 2.118 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 2.119 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 2.135 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 2.135 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 2.136 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 2.146 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 2.146 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 2.152 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 2.171 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in phi2 2.171 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 2.171 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 2.171 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 2.171 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 2.185 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda1 2.186 * [taylor]: Taking taylor expansion of (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) in lambda2 2.187 * [approximate]: Approximating (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.195 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in phi2 2.198 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 2.205 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 2.223 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in phi2 2.223 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 2.223 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 2.235 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 2.235 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 2.248 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 2.281 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in phi2 2.281 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 2.281 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 2.281 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda1 2.281 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2)))))) in lambda2 2.282 * [approximate]: Approximating (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in (phi1 phi2 lambda1 lambda2) around 0 2.290 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in phi2 2.293 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 2.297 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 2.315 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in phi2 2.316 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 2.316 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 2.327 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 2.328 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 2.340 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 2.373 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in phi2 2.373 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 2.373 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 2.374 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda1 2.374 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2)))))) in lambda2 2.374 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 2 2 2) 2.374 * [approximate]: Approximating (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 2.374 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.377 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.381 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.386 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.394 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 2.394 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.396 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.398 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.403 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.411 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) in lambda2 2.411 * [approximate]: Approximating (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.413 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.415 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.421 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.427 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 2.428 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 2.428 * [approximate]: Approximating (* (sin lambda1) (cos lambda2)) in (lambda1 lambda2) around 0 2.428 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 2.431 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 2.438 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 2.444 * [taylor]: Taking taylor expansion of (* (sin lambda1) (cos lambda2)) in lambda2 2.446 * [approximate]: Approximating (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in (lambda1 lambda2) around 0 2.448 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 2.451 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 2.456 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 2.463 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) in lambda2 2.463 * [approximate]: Approximating (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in (lambda1 lambda2) around 0 2.465 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.468 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.474 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.481 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) in lambda2 2.481 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.482 * [approximate]: Approximating (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in (phi2 lambda1 lambda2 phi1) around 0 2.483 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda1 2.483 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda2 2.484 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi1 2.484 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda1 2.484 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda2 2.484 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi1 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda2 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi1 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi1 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda1 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda2 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi1 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in lambda2 2.485 * [taylor]: Taking taylor expansion of (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) in phi1 2.486 * [approximate]: Approximating (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in (phi2 lambda1 lambda2 phi1) around 0 2.488 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda1 2.488 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda2 2.489 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in phi1 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda1 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda2 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in phi1 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda2 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in phi1 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in phi1 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda1 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda2 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in phi1 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in lambda2 2.490 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ 1 phi2)) (- (* (sin (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda2)) (cos (/ 1 lambda1))))) (+ (cos (/ 1 phi1)) (+ (* (cos (/ 1 lambda2)) (* (cos (/ 1 phi2)) (cos (/ 1 lambda1)))) (* (sin (/ 1 lambda1)) (* (sin (/ 1 lambda2)) (cos (/ 1 phi2))))))) in phi1 2.491 * [approximate]: Approximating (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in (phi2 lambda1 lambda2 phi1) around 0 2.494 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda1 2.494 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda2 2.495 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in phi1 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda1 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda2 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in phi1 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda2 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in phi1 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in phi1 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda1 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda2 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in phi1 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in lambda2 2.496 * [taylor]: Taking taylor expansion of (atan2 (* (cos (/ -1 phi2)) (- (* (sin (/ -1 lambda1)) (cos (/ -1 lambda2))) (* (sin (/ -1 lambda2)) (cos (/ -1 lambda1))))) (+ (cos (/ -1 phi1)) (+ (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))))) in phi1 2.497 * * * [progress]: simplifying candidates 2.498 * [simplify]: Simplifying using # : (* (exp (cos phi1)) (exp (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (* (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) (+ (* (cos phi1) (cos phi1)) (- (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- (* (cos phi1) (cos phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos 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)) (+ (sin (- lambda1 lambda2)) (sin (+ lambda1 lambda2))) (* (sin lambda1) (cos lambda2)) (+ (log (sin lambda1)) (log (cos lambda2))) (log (* (sin lambda1) (cos lambda2))) (exp (* (sin lambda1) (cos lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (cos lambda2) (cos lambda2)) (cos lambda2))) (* (cbrt (* (sin lambda1) (cos lambda2))) (cbrt (* (sin lambda1) (cos lambda2)))) (cbrt (* (sin lambda1) (cos lambda2))) (* (* (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2))) (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sin lambda1) (* (cbrt (cos lambda2)) (cbrt (cos lambda2)))) (* (sin lambda1) (sqrt (cos lambda2))) (* (sin lambda1) 1) (* (cbrt (sin lambda1)) (cos lambda2)) (* (sqrt (sin lambda1)) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (log (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (- 2 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow phi2 2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- lambda1 (+ (* 1/2 (* (pow lambda2 2) lambda1)) (* 1/6 (pow lambda1 3)))) (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)))) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)))) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (* (cos lambda1) (* (cos phi2) (cos lambda2))) (+ (cos phi1) (* (sin lambda1) (* (cos phi2) (sin lambda2)))))) 2.503 * * [simplify]: iteration 0 : 311 enodes (cost 751 ) 2.509 * * [simplify]: iteration 1 : 1012 enodes (cost 646 ) 2.528 * * [simplify]: iteration 2 : 4556 enodes (cost 646 ) 2.606 * * [simplify]: iteration 3 : 5001 enodes (cost 646 ) 2.609 * [simplify]: Simplified to: (exp (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (log (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (exp (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (pow (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) 3) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (+ (pow (cos phi1) 3) (pow (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) 3)) (+ (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (- (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cos phi1))) (* (cos phi1) (cos phi1))) (- (* (cos phi1) (cos phi1)) (* (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (- (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos phi2))) (+ (cos phi1) (* (* (cos lambda1) (cos lambda2)) (cos 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)) (+ (sin (- lambda1 lambda2)) (sin (+ lambda1 lambda2))) (* (sin lambda1) (cos lambda2)) (log (* (sin lambda1) (cos lambda2))) (log (* (sin lambda1) (cos lambda2))) (exp (* (sin lambda1) (cos lambda2))) (pow (* (sin lambda1) (cos lambda2)) 3) (* (cbrt (* (sin lambda1) (cos lambda2))) (cbrt (* (sin lambda1) (cos lambda2)))) (cbrt (* (sin lambda1) (cos lambda2))) (pow (* (sin lambda1) (cos lambda2)) 3) (sqrt (* (sin lambda1) (cos lambda2))) (sqrt (* (sin lambda1) (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sqrt (sin lambda1)) (sqrt (cos lambda2))) (* (sin lambda1) (* (cbrt (cos lambda2)) (cbrt (cos lambda2)))) (* (sin lambda1) (sqrt (cos lambda2))) (sin lambda1) (* (cbrt (sin lambda1)) (cos lambda2)) (* (sqrt (sin lambda1)) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (log (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (exp (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (cbrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) (cbrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (pow (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 3) (sqrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (+ (* -1/2 (+ (pow phi1 2) (pow phi2 2))) 2) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))) (* lambda2 lambda1) (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)) (- lambda1 (+ (* 1/2 (* (pow lambda2 2) lambda1)) (* 1/6 (pow lambda1 3)))) (* (sin lambda1) (cos lambda2)) (* (sin lambda1) (cos lambda2)) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (atan2 (* (cos phi2) (- (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)))) (+ (cos phi1) (* (cos phi2) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 2.609 * * * [progress]: adding candidates to table 3.013 * * [progress]: iteration 4 / 4 3.013 * * * [progress]: picking best candidate 3.085 * * * * [pick]: Picked # 3.085 * * * [progress]: localizing error 3.109 * * * [progress]: generating rewritten candidates 3.109 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2) 3.113 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1 1 2 1) 3.117 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 2 1) 3.121 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 3.126 * * * [progress]: generating series expansions 3.126 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2) 3.126 * [approximate]: Approximating (sin (- lambda1 lambda2)) in (lambda1 lambda2) around 0 3.127 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 3.130 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 3.135 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 3.141 * [taylor]: Taking taylor expansion of (sin (- lambda1 lambda2)) in lambda2 3.143 * [approximate]: Approximating (sin (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.146 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.147 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.147 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.147 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.148 * [approximate]: Approximating (sin (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.151 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.152 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.152 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.152 * [taylor]: Taking taylor expansion of (sin (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.152 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1 1 2 1) 3.152 * [approximate]: Approximating (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 3.153 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.156 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.161 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 3.164 * [approximate]: Approximating (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 3.166 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.168 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.168 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.168 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 3.168 * [approximate]: Approximating (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 3.174 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.175 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.175 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.175 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 3.175 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 2 1) 3.175 * [approximate]: Approximating (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in (phi1 lambda1 lambda2 phi2) around 0 3.182 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda1 3.183 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda2 3.185 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in phi2 3.192 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda1 3.192 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda2 3.192 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in phi2 3.198 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda2 3.206 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in phi2 3.209 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in phi2 3.220 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda1 3.223 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda2 3.226 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in phi2 3.228 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda2 3.229 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in phi2 3.237 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in lambda2 3.247 * [taylor]: Taking taylor expansion of (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) in phi2 3.250 * [approximate]: Approximating (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in (phi1 lambda1 lambda2 phi2) around 0 3.263 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda1 3.266 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda2 3.269 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in phi2 3.278 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda1 3.278 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda2 3.278 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in phi2 3.283 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda2 3.284 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in phi2 3.289 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in phi2 3.304 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda1 3.304 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda2 3.304 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in phi2 3.304 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in lambda2 3.304 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) 3) in phi2 3.305 * [approximate]: Approximating (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in (phi1 lambda1 lambda2 phi2) around 0 3.316 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda1 3.318 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda2 3.321 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in phi2 3.330 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda1 3.330 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda2 3.330 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in phi2 3.339 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda2 3.339 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in phi2 3.345 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in phi2 3.360 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda1 3.360 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda2 3.360 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in phi2 3.360 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in lambda2 3.360 * [taylor]: Taking taylor expansion of (pow (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 3) in phi2 3.361 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 3.361 * [approximate]: Approximating (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 lambda1 lambda2 phi2) around 0 3.363 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 3.364 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 3.365 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 3.371 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 3.371 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 3.371 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 3.376 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 3.377 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 3.381 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 3.389 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 3.389 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 3.389 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 3.389 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 3.389 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 3.396 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 3.397 * [taylor]: Taking taylor expansion of (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 3.398 * [approximate]: Approximating (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in (phi1 lambda1 lambda2 phi2) around 0 3.404 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 3.406 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 3.408 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 3.419 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 3.419 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 3.419 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 3.424 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 3.425 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 3.430 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 3.443 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda1 3.443 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 3.443 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 3.443 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in lambda2 3.443 * [taylor]: Taking taylor expansion of (+ (cos (/ 1 phi1)) (* (cos (/ 1 phi2)) (cos (- (/ 1 lambda1) (/ 1 lambda2))))) in phi2 3.443 * [approximate]: Approximating (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 lambda1 lambda2 phi2) around 0 3.449 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 3.451 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 3.453 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 3.461 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 3.461 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 3.461 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 3.467 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 3.467 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 3.472 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 3.485 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 3.485 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 3.485 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 3.485 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 3.485 * [taylor]: Taking taylor expansion of (+ (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 3.486 * * * [progress]: simplifying candidates 3.487 * [simplify]: Simplifying using # : (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos (neg lambda2))) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (* (* (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2))) (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos (neg lambda2))) (* (sin lambda1) (sin (neg 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))) (* (log (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (* (log (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (* 1 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cbrt 3) (cbrt 3))) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (sqrt 3)) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1) (pow (* (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 3) (pow (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (pow 1 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (log (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (exp (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (* (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (* (* (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (pow (* (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 3) (pow (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (pow 1 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (+ (pow (cos phi1) 3) (pow (* (cos (- lambda1 lambda2)) (cos phi2)) 3)) 3) (pow (+ (* (cos phi1) (cos phi1)) (- (* (* (cos (- lambda1 lambda2)) (cos phi2)) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 3) (pow (- (* (cos phi1) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3) (pow (- (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (* (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (sqrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (sqrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (/ 3 2)) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (/ 3 2)) (log (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (exp (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (cbrt (pow (* (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 3)) (cbrt (pow (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3)) (cbrt (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3)) (cbrt (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (cbrt (* (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (cbrt (* (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)))) (cbrt (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (cbrt (pow (* (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 3)) (cbrt (pow (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3)) (cbrt (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3)) (cbrt (pow (sqrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3)) (cbrt (pow 1 3)) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (cbrt (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2)))) (cbrt (* (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) (cbrt (sqrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (cbrt (sqrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (cbrt 1) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (/ 3 2))) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (/ 3 2))) (cbrt (pow (+ (pow (cos phi1) 3) (pow (* (cos (- lambda1 lambda2)) (cos phi2)) 3)) 3)) (cbrt (pow (+ (* (cos phi1) (cos phi1)) (- (* (* (cos (- lambda1 lambda2)) (cos phi2)) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))))) 3)) (cbrt (pow (- (* (cos phi1) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (* (cos (- lambda1 lambda2)) (cos phi2)))) 3)) (cbrt (pow (- (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (* (cbrt (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (cbrt (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)))) (cbrt (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (* (* (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (sqrt (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (sqrt (cbrt (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3))) (- lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (- 8 (+ (* 6 (pow phi1 2)) (* 6 (pow lambda1 2)))) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (- 2 (+ (* 1/2 (pow phi1 2)) (* 1/2 (pow lambda1 2)))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3.492 * * [simplify]: iteration 0 : 279 enodes (cost 721 ) 3.497 * * [simplify]: iteration 1 : 1021 enodes (cost 665 ) 3.520 * * [simplify]: iteration 2 : 5001 enodes (cost 659 ) 3.527 * [simplify]: Simplified to: (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin (neg lambda2))) (* (sin lambda1) (cos lambda2)) (* (cos lambda1) (sin lambda2)) (log (sin (- lambda1 lambda2))) (exp (sin (- lambda1 lambda2))) (* (cbrt (sin (- lambda1 lambda2))) (cbrt (sin (- lambda1 lambda2)))) (cbrt (sin (- lambda1 lambda2))) (pow (sin (- lambda1 lambda2)) 3) (sqrt (sin (- lambda1 lambda2))) (sqrt (sin (- lambda1 lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg lambda2))) (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (neg 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))) (log (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (log (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) 3 (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (cbrt 3) (cbrt 3))) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (sqrt 3)) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 2) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3/2) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3/2) 1 (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 2) (log (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (exp (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3)) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 2) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (pow (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 2) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3/2) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3/2) 1 (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (+ (pow (cos phi1) 3) (pow (* (cos (- lambda1 lambda2)) (cos phi2)) 3)) 3) (pow (+ (* (* (cos (- lambda1 lambda2)) (cos phi2)) (- (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))) (* (cos phi1) (cos phi1))) 3) (pow (- (* (cos phi1) (cos phi1)) (* (* (cos (- 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lambda1 (+ lambda2 (* 1/6 (pow lambda1 3)))) (sin (- lambda1 lambda2)) (sin (- lambda1 lambda2)) (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2)) (+ (* -6 (+ (pow phi1 2) (pow lambda1 2))) 8) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (pow (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3) (+ (* -1/2 (+ (pow phi1 2) (pow lambda1 2))) 2) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (+ (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 3.528 * * * [progress]: adding candidates to table 3.911 * [progress]: [Phase 3 of 3] Extracting. 3.911 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 3.920 * * * [regime-changes]: Trying 6 branch expressions: ((cos phi1) (cos phi2) phi2 phi1 lambda2 lambda1) 3.920 * * * * [regimes]: Trying to branch on (cos phi1) from (# # # # # # # # # # # # #) 4.050 * * * * [regimes]: Trying to branch on (cos phi2) from (# # # # # # # # # # # # #) 4.181 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # #) 4.316 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # #) 4.450 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # #) 4.585 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # #) 4.720 * * * [regime]: Found split indices: #