0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.904 * * * [progress]: [2/2] Setting up program. 0.952 * [progress]: [Phase 2 of 3] Improving. 0.953 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.955 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.957 * * [simplify]: iteration 1: (17 enodes) 0.974 * * [simplify]: iteration 2: (60 enodes) 0.985 * * [simplify]: iteration 3: (71 enodes) 0.998 * * [simplify]: iteration 4: (76 enodes) 1.018 * * [simplify]: Extracting #0: cost 1 inf + 0 1.019 * * [simplify]: Extracting #1: cost 4 inf + 0 1.019 * * [simplify]: Extracting #2: cost 5 inf + 1 1.019 * * [simplify]: Extracting #3: cost 8 inf + 1 1.019 * * [simplify]: Extracting #4: cost 18 inf + 1 1.020 * * [simplify]: Extracting #5: cost 29 inf + 1 1.020 * * [simplify]: Extracting #6: cost 25 inf + 369 1.020 * * [simplify]: Extracting #7: cost 19 inf + 979 1.021 * * [simplify]: Extracting #8: cost 9 inf + 2522 1.022 * * [simplify]: Extracting #9: cost 0 inf + 6397 1.024 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.039 * * [progress]: iteration 1 / 4 1.039 * * * [progress]: picking best candidate 1.050 * * * * [pick]: Picked # 1.050 * * * [progress]: localizing error 1.126 * * * [progress]: generating rewritten candidates 1.127 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.137 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.140 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.151 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.212 * * * [progress]: generating series expansions 1.213 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.217 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.218 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.219 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.219 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.219 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.219 * [backup-simplify]: Simplify lambda1 into lambda1 1.219 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (- 0) into 0 1.220 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.220 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.220 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.221 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.221 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.221 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.221 * [backup-simplify]: Simplify lambda2 into lambda2 1.221 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.221 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.221 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.221 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.221 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.221 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.221 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.221 * [backup-simplify]: Simplify lambda2 into lambda2 1.221 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.221 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.221 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.221 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.224 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.224 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.225 * [backup-simplify]: Simplify (- 0) into 0 1.225 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.225 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.225 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.225 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (- 0) into 0 1.226 * [backup-simplify]: Simplify (- 1) into -1 1.226 * [backup-simplify]: Simplify 1 into 1 1.227 * [backup-simplify]: Simplify (+ 0) into 0 1.228 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.229 * [backup-simplify]: Simplify (- 0) into 0 1.229 * [backup-simplify]: Simplify (+ 1 0) into 1 1.230 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.230 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.230 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.230 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.230 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.230 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.231 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.231 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (- 0) into 0 1.231 * [backup-simplify]: Simplify (- 1) into -1 1.232 * [backup-simplify]: Simplify (- 0) into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify (+ 0) into 0 1.232 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.235 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.235 * [backup-simplify]: Simplify (- 0) into 0 1.236 * [backup-simplify]: Simplify (+ 0 0) into 0 1.236 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.237 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.237 * [backup-simplify]: Simplify (- 0) into 0 1.237 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.238 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.238 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.238 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.238 * [backup-simplify]: Simplify 1/2 into 1/2 1.238 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.238 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.238 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (- 0) into 0 1.238 * [backup-simplify]: Simplify (- 1) into -1 1.239 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.239 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.239 * [backup-simplify]: Simplify -1/2 into -1/2 1.240 * [backup-simplify]: Simplify (- 1) into -1 1.241 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.241 * [backup-simplify]: Simplify (- -1) into 1 1.241 * [backup-simplify]: Simplify 1 into 1 1.242 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.242 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.242 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.242 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.242 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.242 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.242 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.243 * [backup-simplify]: Simplify lambda1 into lambda1 1.243 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.243 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.243 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 1 into 1 1.243 * [backup-simplify]: Simplify (/ 1 1) into 1 1.244 * [backup-simplify]: Simplify (- 1) into -1 1.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.244 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.245 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.245 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.245 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.245 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.245 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.245 * [backup-simplify]: Simplify lambda2 into lambda2 1.245 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.246 * [backup-simplify]: Simplify (+ 1 0) into 1 1.246 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.246 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.246 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.246 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.246 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [backup-simplify]: Simplify 1 into 1 1.246 * [backup-simplify]: Simplify (/ 1 1) into 1 1.246 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.246 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.246 * [backup-simplify]: Simplify lambda2 into lambda2 1.246 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.247 * [backup-simplify]: Simplify (+ 1 0) into 1 1.247 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.247 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.247 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.247 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.247 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.247 * [backup-simplify]: Simplify lambda1 into lambda1 1.247 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.247 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.247 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [backup-simplify]: Simplify (- 1) into -1 1.248 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.249 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.249 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [taylor]: Taking taylor expansion of 0 in lambda2 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.250 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.250 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.250 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.250 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.250 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.250 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 1 into 1 1.250 * [backup-simplify]: Simplify (/ 1 1) into 1 1.250 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.250 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.250 * [backup-simplify]: Simplify lambda1 into lambda1 1.250 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.251 * [backup-simplify]: Simplify (+ 1 0) into 1 1.251 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.251 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.251 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.251 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.251 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.251 * [backup-simplify]: Simplify lambda2 into lambda2 1.251 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.251 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.251 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 1 into 1 1.251 * [backup-simplify]: Simplify (/ 1 1) into 1 1.252 * [backup-simplify]: Simplify (- 1) into -1 1.252 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.252 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.252 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.252 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.252 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.252 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.252 * [backup-simplify]: Simplify lambda2 into lambda2 1.252 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.252 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.253 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [backup-simplify]: Simplify (/ 1 1) into 1 1.253 * [backup-simplify]: Simplify (- 1) into -1 1.254 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.254 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.254 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.254 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.254 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.254 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 1 into 1 1.254 * [backup-simplify]: Simplify (/ 1 1) into 1 1.254 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.254 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.254 * [backup-simplify]: Simplify lambda1 into lambda1 1.255 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.255 * [backup-simplify]: Simplify (+ 1 0) into 1 1.255 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.255 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [taylor]: Taking taylor expansion of 0 in lambda2 1.255 * [backup-simplify]: Simplify 0 into 0 1.255 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [taylor]: Taking taylor expansion of 0 in lambda2 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify 0 into 0 1.256 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.256 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.256 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.256 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.256 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.259 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.259 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.259 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.259 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.259 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.260 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.260 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.260 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.260 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.261 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.261 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.261 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.262 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.262 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.262 * [taylor]: Taking taylor expansion of 0 in phi2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda1 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda1 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [taylor]: Taking taylor expansion of 0 in phi2 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [taylor]: Taking taylor expansion of 0 in lambda1 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [taylor]: Taking taylor expansion of 0 in lambda2 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [taylor]: Taking taylor expansion of 0 in lambda1 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [taylor]: Taking taylor expansion of 0 in lambda2 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.264 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.264 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in (phi1 phi2 lambda1 lambda2) around 0 1.264 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.264 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.264 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.264 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.264 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.265 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.265 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.265 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.265 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.266 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.266 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.266 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.266 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.267 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.267 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.267 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.267 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.268 * [taylor]: Taking taylor expansion of 0 in phi2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda1 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda1 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in phi2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda1 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda1 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [taylor]: Taking taylor expansion of 0 in lambda2 1.268 * [backup-simplify]: Simplify 0 into 0 1.268 * [backup-simplify]: Simplify 0 into 0 1.269 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.269 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.269 * [approximate]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in (phi1 phi2 lambda1 lambda2) around 0 1.269 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.270 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.270 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.271 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.271 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.271 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.271 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.272 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.272 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.272 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.272 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.273 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.273 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.273 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.273 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.273 * [taylor]: Taking taylor expansion of 0 in phi2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda1 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda1 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in phi2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda1 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda1 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.275 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.275 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.275 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.275 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.275 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.276 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.276 * [taylor]: Taking taylor expansion of R in R 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 1 into 1 1.276 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.276 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.276 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.276 * [taylor]: Taking taylor expansion of R in lambda2 1.276 * [backup-simplify]: Simplify R into R 1.276 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.276 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.276 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.276 * [taylor]: Taking taylor expansion of R in lambda1 1.276 * [backup-simplify]: Simplify R into R 1.277 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.277 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.277 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.277 * [taylor]: Taking taylor expansion of R in phi2 1.277 * [backup-simplify]: Simplify R into R 1.277 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.277 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.277 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.277 * [taylor]: Taking taylor expansion of R in phi1 1.277 * [backup-simplify]: Simplify R into R 1.277 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.277 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.278 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.278 * [taylor]: Taking taylor expansion of R in phi1 1.278 * [backup-simplify]: Simplify R into R 1.278 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.278 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.278 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.278 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.278 * [taylor]: Taking taylor expansion of R in phi2 1.278 * [backup-simplify]: Simplify R into R 1.279 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.279 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.279 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.279 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.279 * [taylor]: Taking taylor expansion of R in lambda1 1.279 * [backup-simplify]: Simplify R into R 1.279 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.279 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.279 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.280 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.280 * [taylor]: Taking taylor expansion of R in lambda2 1.280 * [backup-simplify]: Simplify R into R 1.280 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.280 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.280 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.280 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.280 * [taylor]: Taking taylor expansion of R in R 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 1 into 1 1.281 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.281 * [taylor]: Taking taylor expansion of 0 in phi2 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in lambda1 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in lambda2 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in R 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.282 * [taylor]: Taking taylor expansion of 0 in lambda1 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [taylor]: Taking taylor expansion of 0 in lambda2 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [taylor]: Taking taylor expansion of 0 in R 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.282 * [taylor]: Taking taylor expansion of 0 in lambda2 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [taylor]: Taking taylor expansion of 0 in R 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.283 * [taylor]: Taking taylor expansion of 0 in R 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.284 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 1.285 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.285 * [taylor]: Taking taylor expansion of 0 in phi2 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [taylor]: Taking taylor expansion of 0 in lambda1 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [taylor]: Taking taylor expansion of 0 in lambda2 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [taylor]: Taking taylor expansion of 0 in R 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [taylor]: Taking taylor expansion of 0 in lambda1 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [taylor]: Taking taylor expansion of 0 in lambda2 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [taylor]: Taking taylor expansion of 0 in R 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.287 * [taylor]: Taking taylor expansion of 0 in lambda1 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [taylor]: Taking taylor expansion of 0 in lambda2 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [taylor]: Taking taylor expansion of 0 in R 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [taylor]: Taking taylor expansion of 0 in lambda2 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [taylor]: Taking taylor expansion of 0 in R 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [taylor]: Taking taylor expansion of 0 in lambda2 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [taylor]: Taking taylor expansion of 0 in R 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.288 * [taylor]: Taking taylor expansion of 0 in lambda2 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [taylor]: Taking taylor expansion of 0 in R 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.290 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.290 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 1.290 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.290 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.290 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.290 * [taylor]: Taking taylor expansion of R in R 1.290 * [backup-simplify]: Simplify 0 into 0 1.290 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.291 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.291 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.291 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.291 * [taylor]: Taking taylor expansion of R in lambda2 1.291 * [backup-simplify]: Simplify R into R 1.292 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.292 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.292 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.292 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.292 * [taylor]: Taking taylor expansion of R in lambda1 1.292 * [backup-simplify]: Simplify R into R 1.293 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.293 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.293 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.293 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.293 * [taylor]: Taking taylor expansion of R in phi2 1.293 * [backup-simplify]: Simplify R into R 1.294 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.294 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.294 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.294 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.294 * [taylor]: Taking taylor expansion of R in phi1 1.294 * [backup-simplify]: Simplify R into R 1.295 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.295 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi1 1.295 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 1.295 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.295 * [taylor]: Taking taylor expansion of R in phi1 1.295 * [backup-simplify]: Simplify R into R 1.296 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.296 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in phi2 1.296 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 1.296 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.296 * [taylor]: Taking taylor expansion of R in phi2 1.296 * [backup-simplify]: Simplify R into R 1.297 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.297 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda1 1.297 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 1.297 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.297 * [taylor]: Taking taylor expansion of R in lambda1 1.297 * [backup-simplify]: Simplify R into R 1.298 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.298 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in lambda2 1.298 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 1.298 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.298 * [taylor]: Taking taylor expansion of R in lambda2 1.298 * [backup-simplify]: Simplify R into R 1.299 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.299 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) in R 1.299 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in R 1.299 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.299 * [taylor]: Taking taylor expansion of R in R 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.300 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) 1.300 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.300 * [taylor]: Taking taylor expansion of 0 in phi2 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in lambda1 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in lambda2 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in R 1.300 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in lambda1 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [taylor]: Taking taylor expansion of 0 in lambda2 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [taylor]: Taking taylor expansion of 0 in R 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in lambda2 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [taylor]: Taking taylor expansion of 0 in R 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)))) into 0 1.301 * [taylor]: Taking taylor expansion of 0 in R 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.303 * [taylor]: Taking taylor expansion of 0 in phi2 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in lambda1 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in lambda2 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in R 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in lambda1 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in lambda2 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in R 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.303 * [taylor]: Taking taylor expansion of 0 in lambda1 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in lambda2 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in lambda2 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in lambda2 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.304 * [taylor]: Taking taylor expansion of 0 in lambda2 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in R 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.305 * [taylor]: Taking taylor expansion of 0 in R 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.307 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.307 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 1.307 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.307 * [taylor]: Taking taylor expansion of -1 in R 1.307 * [backup-simplify]: Simplify -1 into -1 1.307 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.307 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.307 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.307 * [taylor]: Taking taylor expansion of R in R 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.307 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.307 * [taylor]: Taking taylor expansion of -1 in lambda2 1.307 * [backup-simplify]: Simplify -1 into -1 1.308 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.308 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.308 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.308 * [taylor]: Taking taylor expansion of R in lambda2 1.308 * [backup-simplify]: Simplify R into R 1.308 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.308 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.308 * [taylor]: Taking taylor expansion of -1 in lambda1 1.308 * [backup-simplify]: Simplify -1 into -1 1.308 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.308 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.308 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.308 * [taylor]: Taking taylor expansion of R in lambda1 1.308 * [backup-simplify]: Simplify R into R 1.309 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.309 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.309 * [taylor]: Taking taylor expansion of -1 in phi2 1.309 * [backup-simplify]: Simplify -1 into -1 1.309 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.309 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.309 * [taylor]: Taking taylor expansion of R in phi2 1.309 * [backup-simplify]: Simplify R into R 1.309 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.309 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.309 * [taylor]: Taking taylor expansion of -1 in phi1 1.309 * [backup-simplify]: Simplify -1 into -1 1.309 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.309 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.310 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.310 * [taylor]: Taking taylor expansion of R in phi1 1.310 * [backup-simplify]: Simplify R into R 1.310 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.310 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi1 1.310 * [taylor]: Taking taylor expansion of -1 in phi1 1.310 * [backup-simplify]: Simplify -1 into -1 1.310 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.310 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.310 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.310 * [taylor]: Taking taylor expansion of R in phi1 1.310 * [backup-simplify]: Simplify R into R 1.310 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.311 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.311 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in phi2 1.311 * [taylor]: Taking taylor expansion of -1 in phi2 1.311 * [backup-simplify]: Simplify -1 into -1 1.311 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.311 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.311 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.311 * [taylor]: Taking taylor expansion of R in phi2 1.311 * [backup-simplify]: Simplify R into R 1.311 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.312 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.312 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda1 1.312 * [taylor]: Taking taylor expansion of -1 in lambda1 1.312 * [backup-simplify]: Simplify -1 into -1 1.312 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.312 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.312 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.312 * [taylor]: Taking taylor expansion of R in lambda1 1.312 * [backup-simplify]: Simplify R into R 1.312 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.312 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.312 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in lambda2 1.312 * [taylor]: Taking taylor expansion of -1 in lambda2 1.312 * [backup-simplify]: Simplify -1 into -1 1.312 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.312 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.313 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.313 * [taylor]: Taking taylor expansion of R in lambda2 1.313 * [backup-simplify]: Simplify R into R 1.313 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) into (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) 1.313 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) into (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) 1.313 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)) in R 1.313 * [taylor]: Taking taylor expansion of -1 in R 1.313 * [backup-simplify]: Simplify -1 into -1 1.313 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.313 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.314 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.314 * [taylor]: Taking taylor expansion of R in R 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.314 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.314 * [backup-simplify]: Simplify (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) into (* -1 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))) 1.315 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.315 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.315 * [taylor]: Taking taylor expansion of 0 in phi2 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [taylor]: Taking taylor expansion of 0 in lambda1 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [taylor]: Taking taylor expansion of 0 in lambda2 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [taylor]: Taking taylor expansion of 0 in R 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.316 * [taylor]: Taking taylor expansion of 0 in lambda1 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [taylor]: Taking taylor expansion of 0 in lambda2 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [taylor]: Taking taylor expansion of 0 in R 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.317 * [taylor]: Taking taylor expansion of 0 in lambda2 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [taylor]: Taking taylor expansion of 0 in R 1.317 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R))) into 0 1.318 * [taylor]: Taking taylor expansion of 0 in R 1.318 * [backup-simplify]: Simplify 0 into 0 1.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))))) into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.321 * [taylor]: Taking taylor expansion of 0 in phi2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in lambda1 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in lambda2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in R 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in lambda1 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in lambda2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [taylor]: Taking taylor expansion of 0 in R 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.322 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.322 * [taylor]: Taking taylor expansion of 0 in lambda1 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [taylor]: Taking taylor expansion of 0 in lambda2 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [taylor]: Taking taylor expansion of 0 in R 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [taylor]: Taking taylor expansion of 0 in lambda2 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [taylor]: Taking taylor expansion of 0 in R 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [taylor]: Taking taylor expansion of 0 in lambda2 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [taylor]: Taking taylor expansion of 0 in R 1.322 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.323 * [taylor]: Taking taylor expansion of 0 in lambda2 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [taylor]: Taking taylor expansion of 0 in R 1.323 * [backup-simplify]: Simplify 0 into 0 1.324 * [taylor]: Taking taylor expansion of 0 in R 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [taylor]: Taking taylor expansion of 0 in R 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [taylor]: Taking taylor expansion of 0 in R 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 1.325 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R)))) into 0 1.325 * [taylor]: Taking taylor expansion of 0 in R 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))))))) into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1)))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 1.327 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.328 * [backup-simplify]: Simplify (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.328 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0 1.328 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.328 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.328 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.328 * [backup-simplify]: Simplify phi1 into phi1 1.328 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.328 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.328 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda2 1.328 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.328 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.328 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.328 * [backup-simplify]: Simplify lambda1 into lambda1 1.328 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (- 0) into 0 1.328 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.328 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.328 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.328 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.328 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.328 * [backup-simplify]: Simplify phi2 into phi2 1.328 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.328 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.328 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.328 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.328 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.328 * [backup-simplify]: Simplify phi1 into phi1 1.328 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.328 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.328 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda1 1.328 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.328 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.328 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.329 * [backup-simplify]: Simplify lambda2 into lambda2 1.329 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.329 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.329 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.329 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.329 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.329 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.329 * [backup-simplify]: Simplify phi2 into phi2 1.329 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.329 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.329 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.329 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.329 * [taylor]: Taking taylor expansion of phi1 in phi2 1.329 * [backup-simplify]: Simplify phi1 into phi1 1.329 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.329 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.329 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.329 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.329 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.329 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.329 * [backup-simplify]: Simplify lambda1 into lambda1 1.329 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.329 * [backup-simplify]: Simplify lambda2 into lambda2 1.329 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.329 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.329 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.329 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.329 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.329 * [taylor]: Taking taylor expansion of phi2 in phi2 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1 1.329 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.329 * [taylor]: Taking taylor expansion of phi1 in phi1 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1 1.329 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 1.329 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.329 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.329 * [backup-simplify]: Simplify lambda1 into lambda1 1.329 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.329 * [backup-simplify]: Simplify lambda2 into lambda2 1.329 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.329 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.329 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.329 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.329 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.329 * [taylor]: Taking taylor expansion of phi2 in phi1 1.330 * [backup-simplify]: Simplify phi2 into phi2 1.330 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.330 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.330 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1 1.330 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.330 * [taylor]: Taking taylor expansion of phi1 in phi1 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1 1.330 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 1.330 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.330 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.330 * [backup-simplify]: Simplify lambda1 into lambda1 1.330 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.330 * [backup-simplify]: Simplify lambda2 into lambda2 1.330 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.330 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.330 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.330 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.330 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.330 * [taylor]: Taking taylor expansion of phi2 in phi1 1.330 * [backup-simplify]: Simplify phi2 into phi2 1.330 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.330 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.330 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.330 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.337 * [backup-simplify]: Simplify (- 0) into 0 1.337 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.337 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2) 1.337 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2) 1.338 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) (cos phi2)) into (* (cos (- lambda1 lambda2)) (cos phi2)) 1.338 * [backup-simplify]: Simplify (* 1 (* (cos (- lambda1 lambda2)) (cos phi2))) into (* (cos (- lambda1 lambda2)) (cos phi2)) 1.338 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.338 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.338 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.338 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.338 * [backup-simplify]: Simplify lambda1 into lambda1 1.338 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.338 * [backup-simplify]: Simplify lambda2 into lambda2 1.338 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.338 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.339 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.339 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.339 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.339 * [taylor]: Taking taylor expansion of phi2 in phi2 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.339 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.339 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.340 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.340 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.340 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.340 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.340 * [backup-simplify]: Simplify lambda2 into lambda2 1.340 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.340 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.340 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.340 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.340 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.340 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.340 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.341 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.341 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.341 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (- 1) into -1 1.341 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (+ 0) into 0 1.342 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.344 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0 1.344 * [backup-simplify]: Simplify (- 0) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (+ 0) into 0 1.345 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 1.348 * [backup-simplify]: Simplify (- 0) into 0 1.348 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 (cos phi2))) into 0 1.349 * [backup-simplify]: Simplify (+ 0) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (cos (- lambda1 lambda2)) (cos phi2)))) into 0 1.349 * [taylor]: Taking taylor expansion of 0 in phi2 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [taylor]: Taking taylor expansion of 0 in lambda1 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [taylor]: Taking taylor expansion of 0 in lambda2 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 1.353 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.354 * [taylor]: Taking taylor expansion of 0 in lambda1 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [taylor]: Taking taylor expansion of 0 in lambda2 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify (+ 0) into 0 1.356 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.356 * [backup-simplify]: Simplify (- 0) into 0 1.357 * [backup-simplify]: Simplify (+ 1 0) into 1 1.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.358 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.358 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.358 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.358 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.358 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.358 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.358 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify (- 1) into -1 1.359 * [backup-simplify]: Simplify (- 0) into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (+ 0) into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.361 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.363 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.363 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ 0 0) into 0 1.364 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.365 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.365 * [backup-simplify]: Simplify (- 0) into 0 1.366 * [backup-simplify]: Simplify (+ 0 0) into 0 1.366 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.367 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.368 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 (cos phi2)))) into 0 1.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (* (cos (- lambda1 lambda2)) (cos phi2))))) into (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) 1.370 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 1.370 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.370 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.371 * [backup-simplify]: Simplify 1/2 into 1/2 1.371 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.371 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.371 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.371 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.371 * [backup-simplify]: Simplify lambda1 into lambda1 1.371 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.371 * [backup-simplify]: Simplify lambda2 into lambda2 1.371 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.371 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.371 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.371 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.371 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.371 * [taylor]: Taking taylor expansion of phi2 in phi2 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.371 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.372 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.372 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda1 lambda2))) into (* 1/2 (cos (- lambda1 lambda2))) 1.372 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda1 lambda2)))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 1.372 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 1.372 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 1.372 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.372 * [backup-simplify]: Simplify 1/2 into 1/2 1.372 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.372 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.372 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.372 * [backup-simplify]: Simplify lambda2 into lambda2 1.373 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.373 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.373 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.373 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.373 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.373 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.373 * [backup-simplify]: Simplify (- 0) into 0 1.373 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.373 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 1.373 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 1.374 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.374 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.374 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.374 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.374 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.374 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (- 1) into -1 1.375 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.375 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.375 * [backup-simplify]: Simplify -1/2 into -1/2 1.375 * [taylor]: Taking taylor expansion of 0 in lambda1 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in lambda2 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.378 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.379 * [backup-simplify]: Simplify (- 0) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.380 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.381 * [backup-simplify]: Simplify (- 0) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 1.382 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 1.382 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 1.382 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.382 * [backup-simplify]: Simplify 1/2 into 1/2 1.382 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.382 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.382 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.382 * [backup-simplify]: Simplify lambda2 into lambda2 1.382 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.382 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.383 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.383 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.383 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.383 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.383 * [backup-simplify]: Simplify (- 0) into 0 1.383 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.383 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 1.383 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 1.383 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.383 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.384 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.384 * [backup-simplify]: Simplify 1/2 into 1/2 1.384 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.384 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.384 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (- 1) into -1 1.385 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.385 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.385 * [backup-simplify]: Simplify -1/2 into -1/2 1.386 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 (* 1 (* phi2 1))) 2)) (+ (* -1/2 (pow (* 1 (* 1 (* 1 phi1))) 2)) 1)) into (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))) 1.386 * [backup-simplify]: Simplify (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.386 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 1.386 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2 1.386 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.386 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.386 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.386 * [backup-simplify]: Simplify phi2 into phi2 1.386 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.386 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.386 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.386 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2 1.386 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.386 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.386 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.387 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.387 * [backup-simplify]: Simplify lambda1 into lambda1 1.387 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.387 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.387 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [backup-simplify]: Simplify (- 1) into -1 1.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.388 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.388 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.388 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.388 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.388 * [backup-simplify]: Simplify phi1 into phi1 1.388 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.388 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.388 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.388 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1 1.388 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.388 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.389 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.389 * [backup-simplify]: Simplify phi2 into phi2 1.389 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.389 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.389 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.389 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1 1.389 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.389 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.389 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.389 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 1 into 1 1.389 * [backup-simplify]: Simplify (/ 1 1) into 1 1.389 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.389 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.389 * [backup-simplify]: Simplify lambda2 into lambda2 1.389 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.390 * [backup-simplify]: Simplify (+ 1 0) into 1 1.390 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.390 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.390 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.390 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.390 * [backup-simplify]: Simplify phi1 into phi1 1.390 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.390 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.390 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.390 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2 1.390 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.390 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.390 * [taylor]: Taking taylor expansion of phi2 in phi2 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.391 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2 1.391 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 1.391 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.391 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.391 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.391 * [backup-simplify]: Simplify lambda1 into lambda1 1.391 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.391 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.391 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.391 * [backup-simplify]: Simplify lambda2 into lambda2 1.391 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.391 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.392 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.392 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.392 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.392 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.392 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.392 * [taylor]: Taking taylor expansion of phi1 in phi2 1.392 * [backup-simplify]: Simplify phi1 into phi1 1.392 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.392 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.392 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.392 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1 1.392 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.392 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.392 * [taylor]: Taking taylor expansion of phi2 in phi1 1.392 * [backup-simplify]: Simplify phi2 into phi2 1.392 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.392 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.392 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.392 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1 1.392 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 1.392 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.393 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.393 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.393 * [backup-simplify]: Simplify lambda1 into lambda1 1.393 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.393 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.393 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.393 * [backup-simplify]: Simplify lambda2 into lambda2 1.393 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.393 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.393 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.393 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.393 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.393 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.393 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.393 * [taylor]: Taking taylor expansion of phi1 in phi1 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.394 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1 1.394 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.394 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.394 * [taylor]: Taking taylor expansion of phi2 in phi1 1.394 * [backup-simplify]: Simplify phi2 into phi2 1.394 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.394 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.395 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.395 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1 1.395 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 1.395 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.395 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.395 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.395 * [backup-simplify]: Simplify lambda1 into lambda1 1.395 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.395 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.395 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.395 * [backup-simplify]: Simplify lambda2 into lambda2 1.395 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.395 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.395 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.395 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.395 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.395 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.395 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.395 * [taylor]: Taking taylor expansion of phi1 in phi1 1.395 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [backup-simplify]: Simplify (/ 1 1) into 1 1.396 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.396 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.396 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.397 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.397 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.397 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.398 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.398 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.398 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.398 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2 1.398 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.398 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.398 * [taylor]: Taking taylor expansion of phi2 in phi2 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.399 * [backup-simplify]: Simplify (/ 1 1) into 1 1.399 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.399 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2 1.399 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 1.399 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.399 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.399 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.399 * [backup-simplify]: Simplify lambda1 into lambda1 1.399 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.399 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.399 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.399 * [backup-simplify]: Simplify lambda2 into lambda2 1.399 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.399 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.399 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.399 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.399 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.399 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.399 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.399 * [taylor]: Taking taylor expansion of phi1 in phi2 1.399 * [backup-simplify]: Simplify phi1 into phi1 1.399 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.399 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.399 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.400 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.400 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.400 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.400 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.400 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.401 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.401 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.401 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1 1.401 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.401 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.401 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.401 * [backup-simplify]: Simplify phi2 into phi2 1.401 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.401 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.401 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.401 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1 1.401 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.401 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.401 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.401 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.401 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.401 * [backup-simplify]: Simplify lambda2 into lambda2 1.401 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.402 * [backup-simplify]: Simplify (+ 1 0) into 1 1.402 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.402 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.402 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.402 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.402 * [backup-simplify]: Simplify phi1 into phi1 1.402 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.402 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.402 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.402 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.402 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.402 * [backup-simplify]: Simplify (- 0) into 0 1.402 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.402 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.402 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.403 * [backup-simplify]: Simplify (- 0) into 0 1.403 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.403 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.403 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.403 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2 1.403 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.403 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.403 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.403 * [backup-simplify]: Simplify phi2 into phi2 1.403 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.403 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.403 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.403 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2 1.403 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.403 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.403 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.403 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.403 * [backup-simplify]: Simplify lambda1 into lambda1 1.403 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.403 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.403 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [backup-simplify]: Simplify (- 1) into -1 1.404 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.404 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.404 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.404 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.404 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.404 * [backup-simplify]: Simplify phi1 into phi1 1.404 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.404 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.404 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.404 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.404 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.405 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.405 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.405 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.405 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.405 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.406 * [backup-simplify]: Simplify (+ 0) into 0 1.406 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.408 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 1.408 * [backup-simplify]: Simplify (- 0) into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.408 * [backup-simplify]: Simplify (+ 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.410 * [taylor]: Taking taylor expansion of 0 in phi2 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [taylor]: Taking taylor expansion of 0 in lambda1 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [taylor]: Taking taylor expansion of 0 in lambda2 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify (+ 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.412 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.412 * [backup-simplify]: Simplify (- 0) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (+ 0) into 0 1.413 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.413 * [backup-simplify]: Simplify (- 0) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.414 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.415 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.415 * [taylor]: Taking taylor expansion of 0 in lambda1 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [taylor]: Taking taylor expansion of 0 in lambda2 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.417 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.418 * [backup-simplify]: Simplify (+ 0) into 0 1.418 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.418 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.419 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.419 * [taylor]: Taking taylor expansion of 0 in lambda2 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify (+ 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.420 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.421 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.421 * [backup-simplify]: Simplify (- 0) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0) into 0 1.422 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.422 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.423 * [backup-simplify]: Simplify (- 0) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.424 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.425 * [backup-simplify]: Simplify (- 0) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.426 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.426 * [backup-simplify]: Simplify (- 0) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.427 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0 1.427 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.428 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.430 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.430 * [backup-simplify]: Simplify (- 0) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into 0 1.431 * [taylor]: Taking taylor expansion of 0 in phi2 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [taylor]: Taking taylor expansion of 0 in lambda1 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [taylor]: Taking taylor expansion of 0 in lambda1 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [taylor]: Taking taylor expansion of 0 in lambda2 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.432 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.432 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.432 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.432 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.432 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.432 * [taylor]: Taking taylor expansion of -1 in lambda2 1.432 * [backup-simplify]: Simplify -1 into -1 1.432 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.432 * [backup-simplify]: Simplify phi1 into phi1 1.432 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.433 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.433 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.433 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.433 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.433 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.433 * [taylor]: Taking taylor expansion of -1 in lambda2 1.433 * [backup-simplify]: Simplify -1 into -1 1.433 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.433 * [backup-simplify]: Simplify phi2 into phi2 1.433 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.433 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.433 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.433 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.433 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.433 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.433 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.434 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.434 * [backup-simplify]: Simplify lambda1 into lambda1 1.434 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.434 * [backup-simplify]: Simplify (+ 1 0) into 1 1.434 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.434 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.434 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.434 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.434 * [taylor]: Taking taylor expansion of -1 in lambda1 1.434 * [backup-simplify]: Simplify -1 into -1 1.434 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.434 * [backup-simplify]: Simplify phi1 into phi1 1.435 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.435 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.435 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.435 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.435 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.435 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.435 * [taylor]: Taking taylor expansion of -1 in lambda1 1.435 * [backup-simplify]: Simplify -1 into -1 1.435 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.435 * [backup-simplify]: Simplify phi2 into phi2 1.435 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.435 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.435 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.435 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.435 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.435 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.435 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.435 * [backup-simplify]: Simplify lambda2 into lambda2 1.435 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.435 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.435 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (/ 1 1) into 1 1.436 * [backup-simplify]: Simplify (- 1) into -1 1.437 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.437 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.437 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.437 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.437 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.437 * [taylor]: Taking taylor expansion of -1 in phi2 1.437 * [backup-simplify]: Simplify -1 into -1 1.437 * [taylor]: Taking taylor expansion of phi1 in phi2 1.437 * [backup-simplify]: Simplify phi1 into phi1 1.437 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.437 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.437 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.437 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 1.437 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.437 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.437 * [taylor]: Taking taylor expansion of -1 in phi2 1.437 * [backup-simplify]: Simplify -1 into -1 1.437 * [taylor]: Taking taylor expansion of phi2 in phi2 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (/ -1 1) into -1 1.438 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.438 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 1.438 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.438 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.438 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.438 * [backup-simplify]: Simplify lambda2 into lambda2 1.438 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.438 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.438 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.438 * [backup-simplify]: Simplify lambda1 into lambda1 1.438 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.438 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.438 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.438 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.439 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.439 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 1.439 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.439 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.439 * [taylor]: Taking taylor expansion of -1 in phi1 1.439 * [backup-simplify]: Simplify -1 into -1 1.439 * [taylor]: Taking taylor expansion of phi1 in phi1 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (/ -1 1) into -1 1.439 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.439 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 1.439 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.439 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.439 * [taylor]: Taking taylor expansion of -1 in phi1 1.439 * [backup-simplify]: Simplify -1 into -1 1.439 * [taylor]: Taking taylor expansion of phi2 in phi1 1.439 * [backup-simplify]: Simplify phi2 into phi2 1.440 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.440 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.440 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.440 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 1.440 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.440 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.440 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.440 * [backup-simplify]: Simplify lambda2 into lambda2 1.440 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.440 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.440 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.440 * [backup-simplify]: Simplify lambda1 into lambda1 1.440 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.440 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.440 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.440 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.440 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.440 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 1.440 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.440 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.441 * [taylor]: Taking taylor expansion of -1 in phi1 1.441 * [backup-simplify]: Simplify -1 into -1 1.441 * [taylor]: Taking taylor expansion of phi1 in phi1 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (/ -1 1) into -1 1.441 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.441 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 1.441 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.441 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.441 * [taylor]: Taking taylor expansion of -1 in phi1 1.441 * [backup-simplify]: Simplify -1 into -1 1.441 * [taylor]: Taking taylor expansion of phi2 in phi1 1.441 * [backup-simplify]: Simplify phi2 into phi2 1.442 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.442 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.442 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.442 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 1.442 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.442 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.442 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.442 * [backup-simplify]: Simplify lambda2 into lambda2 1.442 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.442 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.442 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.442 * [backup-simplify]: Simplify lambda1 into lambda1 1.442 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.442 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.442 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.442 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.443 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.443 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.443 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.443 * [backup-simplify]: Simplify (- 0) into 0 1.443 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.443 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.443 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 1.444 * [backup-simplify]: Simplify (- 0) into 0 1.444 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.444 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.444 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.444 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.444 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.444 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.444 * [taylor]: Taking taylor expansion of -1 in phi2 1.444 * [backup-simplify]: Simplify -1 into -1 1.444 * [taylor]: Taking taylor expansion of phi1 in phi2 1.444 * [backup-simplify]: Simplify phi1 into phi1 1.444 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.444 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.444 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.444 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 1.444 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.444 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.444 * [taylor]: Taking taylor expansion of -1 in phi2 1.444 * [backup-simplify]: Simplify -1 into -1 1.444 * [taylor]: Taking taylor expansion of phi2 in phi2 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (/ -1 1) into -1 1.445 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.445 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 1.445 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.445 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.445 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.445 * [backup-simplify]: Simplify lambda2 into lambda2 1.445 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.445 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.445 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.445 * [backup-simplify]: Simplify lambda1 into lambda1 1.445 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.445 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.445 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.445 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.445 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.445 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.445 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.446 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.446 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.446 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 1.446 * [backup-simplify]: Simplify (- 0) into 0 1.446 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.446 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.447 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.447 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.447 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.447 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.447 * [taylor]: Taking taylor expansion of -1 in lambda1 1.447 * [backup-simplify]: Simplify -1 into -1 1.447 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.447 * [backup-simplify]: Simplify phi1 into phi1 1.447 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.447 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.447 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.447 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.447 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.447 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.447 * [taylor]: Taking taylor expansion of -1 in lambda1 1.447 * [backup-simplify]: Simplify -1 into -1 1.447 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.447 * [backup-simplify]: Simplify phi2 into phi2 1.447 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.447 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.447 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.447 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.447 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.447 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.447 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.447 * [backup-simplify]: Simplify lambda2 into lambda2 1.447 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.447 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.447 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [backup-simplify]: Simplify (- 1) into -1 1.448 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.448 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.448 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.448 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.448 * [backup-simplify]: Simplify (- 0) into 0 1.448 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.449 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.449 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.449 * [backup-simplify]: Simplify (- 0) into 0 1.449 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.449 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.449 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.449 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.449 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.449 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.449 * [taylor]: Taking taylor expansion of -1 in lambda2 1.449 * [backup-simplify]: Simplify -1 into -1 1.449 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.449 * [backup-simplify]: Simplify phi1 into phi1 1.449 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.449 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.449 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.449 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.449 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.449 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.449 * [taylor]: Taking taylor expansion of -1 in lambda2 1.449 * [backup-simplify]: Simplify -1 into -1 1.449 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.449 * [backup-simplify]: Simplify phi2 into phi2 1.450 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.450 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.450 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.450 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.450 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.450 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.450 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (/ 1 1) into 1 1.450 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.450 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.450 * [backup-simplify]: Simplify lambda1 into lambda1 1.450 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.450 * [backup-simplify]: Simplify (+ 1 0) into 1 1.450 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.450 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.451 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.451 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.451 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.451 * [backup-simplify]: Simplify (- 0) into 0 1.451 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.451 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.451 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.452 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.452 * [backup-simplify]: Simplify (+ 0) into 0 1.452 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.453 * [backup-simplify]: Simplify (- 0) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.454 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 1.454 * [backup-simplify]: Simplify (- 0) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.455 * [backup-simplify]: Simplify (+ 0) into 0 1.455 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.456 * [backup-simplify]: Simplify (- 0) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.457 * [taylor]: Taking taylor expansion of 0 in phi2 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [taylor]: Taking taylor expansion of 0 in lambda1 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [taylor]: Taking taylor expansion of 0 in lambda2 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify (+ 0) into 0 1.458 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 1.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.459 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 1.459 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.460 * [backup-simplify]: Simplify (+ 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.461 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.461 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.462 * [taylor]: Taking taylor expansion of 0 in lambda1 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [taylor]: Taking taylor expansion of 0 in lambda2 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (+ 0) into 0 1.462 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.463 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.466 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.466 * [backup-simplify]: Simplify (- 0) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.467 * [backup-simplify]: Simplify (+ 0) into 0 1.467 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.467 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.469 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.469 * [backup-simplify]: Simplify (- 0) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.469 * [taylor]: Taking taylor expansion of 0 in lambda2 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (+ 0) into 0 1.470 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.470 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.471 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.471 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.471 * [backup-simplify]: Simplify (- 0) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.472 * [backup-simplify]: Simplify (+ 0) into 0 1.473 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.474 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.474 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.475 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 1))) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.478 * [backup-simplify]: Simplify (+ 0 0) into 0 1.479 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.479 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 0))) into 0 1.480 * [backup-simplify]: Simplify (- 0) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.481 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.483 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.483 * [backup-simplify]: Simplify (- 0) into 0 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.485 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into 0 1.485 * [taylor]: Taking taylor expansion of 0 in phi2 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [taylor]: Taking taylor expansion of 0 in lambda1 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [taylor]: Taking taylor expansion of 0 in lambda2 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [taylor]: Taking taylor expansion of 0 in lambda1 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [taylor]: Taking taylor expansion of 0 in lambda2 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.486 * * * [progress]: simplifying candidates 1.486 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 1.486 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 1.486 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 1.486 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 1.486 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 1.486 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 1.486 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 1.486 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 11 / 73 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.487 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 16 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 20 / 73 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.487 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 1.487 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 32 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 38 / 73 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 1.488 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 48 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 60 / 73 ] simplifiying candidate #real (real->posit16 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.489 * * * * [progress]: [ 61 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 1.489 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 1.490 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))), (* (sin lambda1) (sin (- lambda2))), (* (cos lambda1) (cos (- lambda2))), (* (sin lambda1) (sin (- lambda2))), (* (cos lambda1) (cos lambda2)), (* (sin lambda1) (sin lambda2)), (log (cos (- lambda1 lambda2))), (exp (cos (- lambda1 lambda2))), (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2)))), (cbrt (cos (- lambda1 lambda2))), (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))), (sqrt (cos (- lambda1 lambda2))), (sqrt (cos (- lambda1 lambda2))), (real->posit16 (cos (- lambda1 lambda2))), (/ PI 2), (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))), (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))), (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R), (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)), (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (* (* R R) R)), (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))), (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 1), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R), (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)), (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))), (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))), (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))), (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))), (log (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))), (exp (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))), (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))), (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (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)))), (* (* (cos phi1) (cos phi2)) (* (cos lambda1) (cos lambda2))), (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))), (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))), (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))), (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))), (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))), (* (* (cos phi1) (cos phi2)) 1), (* (cos phi2) (cos (- lambda1 lambda2))), (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))), (real->posit16 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))), (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))), (cos (- lambda1 lambda2)), (cos (- lambda1 lambda2)), (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))), (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))), (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))), (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R), (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))), (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))), (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.492 * * [simplify]: iteration 1: (125 enodes) 1.531 * * [simplify]: iteration 2: (498 enodes) 1.696 * * [simplify]: iteration 3: (1031 enodes) 2.233 * * [simplify]: Extracting #0: cost 51 inf + 0 2.234 * * [simplify]: Extracting #1: cost 275 inf + 0 2.236 * * [simplify]: Extracting #2: cost 502 inf + 331 2.240 * * [simplify]: Extracting #3: cost 423 inf + 15372 2.267 * * [simplify]: Extracting #4: cost 178 inf + 79654 2.303 * * [simplify]: Extracting #5: cost 77 inf + 106912 2.346 * * [simplify]: Extracting #6: cost 66 inf + 110567 2.402 * * [simplify]: Extracting #7: cost 43 inf + 125463 2.448 * * [simplify]: Extracting #8: cost 0 inf + 156538 2.498 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)), (* (sin (- lambda2)) (sin lambda1)), (* (cos lambda1) (cos lambda2)), (* (sin (- lambda2)) (sin lambda1)), (* (cos lambda1) (cos lambda2)), (* (sin lambda2) (sin lambda1)), (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))), (real->posit16 (cos (- lambda1 lambda2))), (/ PI 2), (asin (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))), (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (exp (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (real->posit16 (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (log (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (exp (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))))), (* (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))) (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))))), (cbrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) (* (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))))), (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (sqrt (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))) (* (cbrt R) (cbrt R))), (* (sqrt R) (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))), (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) R), (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))) R), (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (real->posit16 (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))))), (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)), (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)), (log (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (log (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (log (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (exp (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (* (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (* (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (* (cbrt (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))) (cbrt (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))), (cbrt (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (* (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (sqrt (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (sqrt (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (* (* (cos lambda2) (* (cos lambda1) (cos phi2))) (cos phi1)), (* (* (cos phi2) (* (sin lambda2) (sin lambda1))) (cos phi1)), (* (* (cos lambda2) (* (cos lambda1) (cos phi2))) (cos phi1)), (* (* (cos phi2) (* (sin lambda2) (sin lambda1))) (cos phi1)), (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))), (* (sqrt (cos (- lambda1 lambda2))) (* (cos phi1) (cos phi2))), (* (cos phi1) (cos phi2)), (* (cos (- lambda1 lambda2)) (cos phi2)), (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))), (real->posit16 (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))), (+ 1 (* lambda1 (- lambda2 (* 1/2 lambda1)))), (cos (- lambda1 lambda2)), (cos (- lambda1 lambda2)), (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))), (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))), (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))), (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))), (+ 1 (* -1/2 (+ (* phi2 phi2) (* phi1 phi1)))), (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)), (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2.503 * * * [progress]: adding candidates to table 4.153 * * [progress]: iteration 2 / 4 4.153 * * * [progress]: picking best candidate 4.298 * * * * [pick]: Picked # 4.299 * * * [progress]: localizing error 4.388 * * * [progress]: generating rewritten candidates 4.388 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 4.392 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 4.411 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.432 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 4.454 * * * [progress]: generating series expansions 4.454 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 4.455 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.455 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 4.455 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.456 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.456 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.456 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.456 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.457 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.457 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.458 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.458 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.458 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.458 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.459 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.459 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.460 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.460 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.460 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.461 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.461 * [taylor]: Taking taylor expansion of 0 in phi2 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in lambda1 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in lambda2 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in lambda1 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in lambda2 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in lambda2 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in phi2 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in lambda1 4.461 * [backup-simplify]: Simplify 0 into 0 4.461 * [taylor]: Taking taylor expansion of 0 in lambda2 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [taylor]: Taking taylor expansion of 0 in lambda1 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [taylor]: Taking taylor expansion of 0 in lambda2 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify 0 into 0 4.462 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.463 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.463 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.463 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.464 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.464 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.465 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.466 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.466 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.466 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.467 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.467 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.468 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.468 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.469 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.469 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.470 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.471 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.472 * [taylor]: Taking taylor expansion of 0 in phi2 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda1 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda2 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda1 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda2 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda2 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in phi2 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda1 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda2 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [backup-simplify]: Simplify 0 into 0 4.472 * [taylor]: Taking taylor expansion of 0 in lambda1 4.472 * [backup-simplify]: Simplify 0 into 0 4.473 * [taylor]: Taking taylor expansion of 0 in lambda2 4.473 * [backup-simplify]: Simplify 0 into 0 4.473 * [backup-simplify]: Simplify 0 into 0 4.474 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 4.474 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.474 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 4.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 4.475 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.476 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.476 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 4.477 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.477 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.478 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.478 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.479 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 4.480 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.480 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.481 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 4.481 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.482 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.482 * [taylor]: Taking taylor expansion of 0 in phi2 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [taylor]: Taking taylor expansion of 0 in lambda1 4.482 * [backup-simplify]: Simplify 0 into 0 4.482 * [taylor]: Taking taylor expansion of 0 in lambda2 4.482 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda1 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda2 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda2 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in phi2 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda1 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda2 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda1 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [taylor]: Taking taylor expansion of 0 in lambda2 4.483 * [backup-simplify]: Simplify 0 into 0 4.483 * [backup-simplify]: Simplify 0 into 0 4.484 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.484 * * * * [progress]: [ 2 / 4 ] generating series at (2) 4.485 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.485 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 4.485 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 4.485 * [taylor]: Taking taylor expansion of R in R 4.485 * [backup-simplify]: Simplify 0 into 0 4.485 * [backup-simplify]: Simplify 1 into 1 4.485 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.486 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.486 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.486 * [taylor]: Taking taylor expansion of R in lambda2 4.486 * [backup-simplify]: Simplify R into R 4.486 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.487 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.487 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.487 * [taylor]: Taking taylor expansion of R in lambda1 4.487 * [backup-simplify]: Simplify R into R 4.487 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.487 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.487 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.487 * [taylor]: Taking taylor expansion of R in phi2 4.487 * [backup-simplify]: Simplify R into R 4.487 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.488 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.488 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.488 * [taylor]: Taking taylor expansion of R in phi1 4.488 * [backup-simplify]: Simplify R into R 4.488 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.489 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.489 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 4.489 * [taylor]: Taking taylor expansion of R in phi1 4.489 * [backup-simplify]: Simplify R into R 4.489 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 4.489 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.490 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.490 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 4.490 * [taylor]: Taking taylor expansion of R in phi2 4.490 * [backup-simplify]: Simplify R into R 4.490 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 4.491 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.491 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.491 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 4.491 * [taylor]: Taking taylor expansion of R in lambda1 4.491 * [backup-simplify]: Simplify R into R 4.491 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 4.492 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.492 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.492 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 4.492 * [taylor]: Taking taylor expansion of R in lambda2 4.492 * [backup-simplify]: Simplify R into R 4.492 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 4.493 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.494 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.494 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 4.494 * [taylor]: Taking taylor expansion of R in R 4.494 * [backup-simplify]: Simplify 0 into 0 4.494 * [backup-simplify]: Simplify 1 into 1 4.494 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 4.494 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.495 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 4.495 * [backup-simplify]: Simplify 0 into 0 4.495 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.495 * [taylor]: Taking taylor expansion of 0 in phi2 4.495 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda1 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda2 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in R 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda1 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in lambda2 4.496 * [backup-simplify]: Simplify 0 into 0 4.496 * [taylor]: Taking taylor expansion of 0 in R 4.496 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.497 * [taylor]: Taking taylor expansion of 0 in lambda2 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [taylor]: Taking taylor expansion of 0 in R 4.497 * [backup-simplify]: Simplify 0 into 0 4.497 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 4.498 * [taylor]: Taking taylor expansion of 0 in R 4.498 * [backup-simplify]: Simplify 0 into 0 4.498 * [backup-simplify]: Simplify 0 into 0 4.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.500 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 4.501 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.501 * [taylor]: Taking taylor expansion of 0 in phi2 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda1 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda2 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in R 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda1 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in lambda2 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [taylor]: Taking taylor expansion of 0 in R 4.501 * [backup-simplify]: Simplify 0 into 0 4.501 * [backup-simplify]: Simplify 0 into 0 4.502 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.502 * [taylor]: Taking taylor expansion of 0 in lambda1 4.502 * [backup-simplify]: Simplify 0 into 0 4.503 * [taylor]: Taking taylor expansion of 0 in lambda2 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [taylor]: Taking taylor expansion of 0 in R 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [taylor]: Taking taylor expansion of 0 in lambda2 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [taylor]: Taking taylor expansion of 0 in R 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [taylor]: Taking taylor expansion of 0 in lambda2 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [taylor]: Taking taylor expansion of 0 in R 4.503 * [backup-simplify]: Simplify 0 into 0 4.503 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 4.504 * [taylor]: Taking taylor expansion of 0 in lambda2 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [taylor]: Taking taylor expansion of 0 in R 4.504 * [backup-simplify]: Simplify 0 into 0 4.504 * [backup-simplify]: Simplify 0 into 0 4.505 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.506 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.506 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 4.506 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 4.506 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 4.507 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.507 * [taylor]: Taking taylor expansion of R in R 4.507 * [backup-simplify]: Simplify 0 into 0 4.507 * [backup-simplify]: Simplify 1 into 1 4.508 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.508 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 4.508 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.509 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.509 * [taylor]: Taking taylor expansion of R in lambda2 4.509 * [backup-simplify]: Simplify R into R 4.510 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.510 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 4.510 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.511 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.511 * [taylor]: Taking taylor expansion of R in lambda1 4.511 * [backup-simplify]: Simplify R into R 4.511 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.511 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 4.512 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.512 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.512 * [taylor]: Taking taylor expansion of R in phi2 4.512 * [backup-simplify]: Simplify R into R 4.513 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.513 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 4.513 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.514 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.514 * [taylor]: Taking taylor expansion of R in phi1 4.514 * [backup-simplify]: Simplify R into R 4.515 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.515 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 4.515 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 4.516 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.516 * [taylor]: Taking taylor expansion of R in phi1 4.516 * [backup-simplify]: Simplify R into R 4.517 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.517 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 4.517 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 4.518 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.518 * [taylor]: Taking taylor expansion of R in phi2 4.518 * [backup-simplify]: Simplify R into R 4.518 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.519 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 4.519 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 4.519 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.519 * [taylor]: Taking taylor expansion of R in lambda1 4.519 * [backup-simplify]: Simplify R into R 4.520 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.520 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 4.520 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 4.521 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.521 * [taylor]: Taking taylor expansion of R in lambda2 4.521 * [backup-simplify]: Simplify R into R 4.522 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 4.522 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 4.522 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 4.523 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.523 * [taylor]: Taking taylor expansion of R in R 4.523 * [backup-simplify]: Simplify 0 into 0 4.523 * [backup-simplify]: Simplify 1 into 1 4.524 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.524 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 4.528 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.528 * [taylor]: Taking taylor expansion of 0 in phi2 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [taylor]: Taking taylor expansion of 0 in lambda1 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [taylor]: Taking taylor expansion of 0 in lambda2 4.528 * [backup-simplify]: Simplify 0 into 0 4.528 * [taylor]: Taking taylor expansion of 0 in R 4.528 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.529 * [taylor]: Taking taylor expansion of 0 in lambda1 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [taylor]: Taking taylor expansion of 0 in lambda2 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [taylor]: Taking taylor expansion of 0 in R 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.529 * [taylor]: Taking taylor expansion of 0 in lambda2 4.529 * [backup-simplify]: Simplify 0 into 0 4.529 * [taylor]: Taking taylor expansion of 0 in R 4.529 * [backup-simplify]: Simplify 0 into 0 4.530 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 4.530 * [taylor]: Taking taylor expansion of 0 in R 4.530 * [backup-simplify]: Simplify 0 into 0 4.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 4.531 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.532 * [taylor]: Taking taylor expansion of 0 in phi2 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda1 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda2 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in R 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda1 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda2 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in R 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda1 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda2 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in R 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda2 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in R 4.532 * [backup-simplify]: Simplify 0 into 0 4.532 * [taylor]: Taking taylor expansion of 0 in lambda2 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [taylor]: Taking taylor expansion of 0 in R 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.533 * [taylor]: Taking taylor expansion of 0 in lambda2 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [taylor]: Taking taylor expansion of 0 in R 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [taylor]: Taking taylor expansion of 0 in R 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [taylor]: Taking taylor expansion of 0 in R 4.533 * [backup-simplify]: Simplify 0 into 0 4.533 * [taylor]: Taking taylor expansion of 0 in R 4.533 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.534 * [taylor]: Taking taylor expansion of 0 in R 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.534 * [backup-simplify]: Simplify 0 into 0 4.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.535 * [backup-simplify]: Simplify 0 into 0 4.536 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 4.537 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 4.537 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 4.537 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 4.537 * [taylor]: Taking taylor expansion of -1 in R 4.537 * [backup-simplify]: Simplify -1 into -1 4.537 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 4.537 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 4.537 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.537 * [taylor]: Taking taylor expansion of R in R 4.537 * [backup-simplify]: Simplify 0 into 0 4.537 * [backup-simplify]: Simplify 1 into 1 4.538 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.538 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 4.538 * [taylor]: Taking taylor expansion of -1 in lambda2 4.538 * [backup-simplify]: Simplify -1 into -1 4.538 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 4.538 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 4.538 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.538 * [taylor]: Taking taylor expansion of R in lambda2 4.538 * [backup-simplify]: Simplify R into R 4.539 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.539 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 4.539 * [taylor]: Taking taylor expansion of -1 in lambda1 4.539 * [backup-simplify]: Simplify -1 into -1 4.539 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 4.539 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.539 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.539 * [taylor]: Taking taylor expansion of R in lambda1 4.539 * [backup-simplify]: Simplify R into R 4.540 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.540 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 4.540 * [taylor]: Taking taylor expansion of -1 in phi2 4.540 * [backup-simplify]: Simplify -1 into -1 4.540 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 4.540 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 4.540 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.540 * [taylor]: Taking taylor expansion of R in phi2 4.540 * [backup-simplify]: Simplify R into R 4.541 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.541 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 4.541 * [taylor]: Taking taylor expansion of -1 in phi1 4.541 * [backup-simplify]: Simplify -1 into -1 4.541 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 4.541 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.541 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.541 * [taylor]: Taking taylor expansion of R in phi1 4.541 * [backup-simplify]: Simplify R into R 4.542 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.542 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 4.542 * [taylor]: Taking taylor expansion of -1 in phi1 4.542 * [backup-simplify]: Simplify -1 into -1 4.542 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 4.542 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 4.542 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.542 * [taylor]: Taking taylor expansion of R in phi1 4.542 * [backup-simplify]: Simplify R into R 4.543 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.543 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 4.543 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 4.543 * [taylor]: Taking taylor expansion of -1 in phi2 4.543 * [backup-simplify]: Simplify -1 into -1 4.543 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 4.543 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 4.544 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.544 * [taylor]: Taking taylor expansion of R in phi2 4.544 * [backup-simplify]: Simplify R into R 4.544 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 4.545 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 4.545 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 4.545 * [taylor]: Taking taylor expansion of -1 in lambda1 4.545 * [backup-simplify]: Simplify -1 into -1 4.545 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 4.545 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 4.545 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.545 * [taylor]: Taking taylor expansion of R in lambda1 4.545 * [backup-simplify]: Simplify R into R 4.545 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 4.546 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 4.546 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 4.546 * [taylor]: Taking taylor expansion of -1 in lambda2 4.546 * [backup-simplify]: Simplify -1 into -1 4.546 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 4.546 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 4.546 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.546 * [taylor]: Taking taylor expansion of R in lambda2 4.546 * [backup-simplify]: Simplify R into R 4.547 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 4.547 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 4.547 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 4.547 * [taylor]: Taking taylor expansion of -1 in R 4.547 * [backup-simplify]: Simplify -1 into -1 4.547 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 4.547 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 4.548 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 4.548 * [taylor]: Taking taylor expansion of R in R 4.548 * [backup-simplify]: Simplify 0 into 0 4.548 * [backup-simplify]: Simplify 1 into 1 4.548 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 4.549 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 4.549 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 4.550 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 4.551 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 4.551 * [taylor]: Taking taylor expansion of 0 in phi2 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [taylor]: Taking taylor expansion of 0 in lambda1 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [taylor]: Taking taylor expansion of 0 in lambda2 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [taylor]: Taking taylor expansion of 0 in R 4.551 * [backup-simplify]: Simplify 0 into 0 4.551 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 4.552 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 4.552 * [taylor]: Taking taylor expansion of 0 in lambda1 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [taylor]: Taking taylor expansion of 0 in lambda2 4.552 * [backup-simplify]: Simplify 0 into 0 4.552 * [taylor]: Taking taylor expansion of 0 in R 4.552 * [backup-simplify]: Simplify 0 into 0 4.553 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 4.553 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 4.553 * [taylor]: Taking taylor expansion of 0 in lambda2 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [taylor]: Taking taylor expansion of 0 in R 4.554 * [backup-simplify]: Simplify 0 into 0 4.554 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 4.555 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 4.555 * [taylor]: Taking taylor expansion of 0 in R 4.555 * [backup-simplify]: Simplify 0 into 0 4.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 4.558 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 4.558 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.561 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 4.561 * [taylor]: Taking taylor expansion of 0 in phi2 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [taylor]: Taking taylor expansion of 0 in lambda1 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [taylor]: Taking taylor expansion of 0 in lambda2 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [taylor]: Taking taylor expansion of 0 in R 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [taylor]: Taking taylor expansion of 0 in lambda1 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [taylor]: Taking taylor expansion of 0 in lambda2 4.561 * [backup-simplify]: Simplify 0 into 0 4.561 * [taylor]: Taking taylor expansion of 0 in R 4.561 * [backup-simplify]: Simplify 0 into 0 4.562 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.564 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 4.564 * [taylor]: Taking taylor expansion of 0 in lambda1 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [taylor]: Taking taylor expansion of 0 in lambda2 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [taylor]: Taking taylor expansion of 0 in R 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [taylor]: Taking taylor expansion of 0 in lambda2 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [taylor]: Taking taylor expansion of 0 in R 4.564 * [backup-simplify]: Simplify 0 into 0 4.564 * [taylor]: Taking taylor expansion of 0 in lambda2 4.564 * [backup-simplify]: Simplify 0 into 0 4.565 * [taylor]: Taking taylor expansion of 0 in R 4.565 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 4.568 * [taylor]: Taking taylor expansion of 0 in lambda2 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [taylor]: Taking taylor expansion of 0 in R 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [taylor]: Taking taylor expansion of 0 in R 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [taylor]: Taking taylor expansion of 0 in R 4.568 * [backup-simplify]: Simplify 0 into 0 4.568 * [taylor]: Taking taylor expansion of 0 in R 4.568 * [backup-simplify]: Simplify 0 into 0 4.569 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 4.571 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 4.571 * [taylor]: Taking taylor expansion of 0 in R 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.571 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify 0 into 0 4.572 * [backup-simplify]: Simplify 0 into 0 4.574 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 4.576 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 4.578 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.578 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 4.578 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 4.578 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 4.578 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 4.578 * [taylor]: Taking taylor expansion of phi1 in phi2 4.578 * [backup-simplify]: Simplify phi1 into phi1 4.578 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 4.578 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 4.578 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.578 * [taylor]: Taking taylor expansion of phi2 in phi2 4.578 * [backup-simplify]: Simplify 0 into 0 4.578 * [backup-simplify]: Simplify 1 into 1 4.578 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.578 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.578 * [taylor]: Taking taylor expansion of phi1 in phi1 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.579 * [taylor]: Taking taylor expansion of phi2 in phi1 4.579 * [backup-simplify]: Simplify phi2 into phi2 4.579 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.579 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.579 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 4.579 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 4.579 * [taylor]: Taking taylor expansion of phi1 in phi1 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.579 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 4.579 * [taylor]: Taking taylor expansion of phi2 in phi1 4.579 * [backup-simplify]: Simplify phi2 into phi2 4.579 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 4.579 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 4.579 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 4.580 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 4.580 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 4.580 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 4.580 * [taylor]: Taking taylor expansion of 0 in phi2 4.580 * [backup-simplify]: Simplify 0 into 0 4.580 * [backup-simplify]: Simplify 0 into 0 4.581 * [backup-simplify]: Simplify (+ 0) into 0 4.581 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 4.582 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.583 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 4.583 * [backup-simplify]: Simplify (+ 0 0) into 0 4.584 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 4.584 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.584 * [taylor]: Taking taylor expansion of phi2 in phi2 4.584 * [backup-simplify]: Simplify 0 into 0 4.584 * [backup-simplify]: Simplify 1 into 1 4.584 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify 0 into 0 4.585 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.586 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 4.587 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.587 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 4.588 * [backup-simplify]: Simplify (+ 0 0) into 0 4.589 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.589 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 4.589 * [taylor]: Taking taylor expansion of 0 in phi2 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify 0 into 0 4.590 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.590 * [backup-simplify]: Simplify 1 into 1 4.590 * [backup-simplify]: Simplify 0 into 0 4.591 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.592 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.594 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.594 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.595 * [backup-simplify]: Simplify (+ 0 0) into 0 4.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 4.598 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 4.598 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 4.598 * [taylor]: Taking taylor expansion of 1/6 in phi2 4.598 * [backup-simplify]: Simplify 1/6 into 1/6 4.598 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 4.598 * [taylor]: Taking taylor expansion of phi2 in phi2 4.598 * [backup-simplify]: Simplify 0 into 0 4.598 * [backup-simplify]: Simplify 1 into 1 4.598 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.599 * [backup-simplify]: Simplify (- 0) into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.599 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.600 * [backup-simplify]: Simplify 0 into 0 4.600 * [backup-simplify]: Simplify 0 into 0 4.602 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 4.603 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.605 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.606 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.606 * [backup-simplify]: Simplify (+ 0 0) into 0 4.607 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.609 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 4.609 * [taylor]: Taking taylor expansion of 0 in phi2 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify 0 into 0 4.609 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 4.609 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.609 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 4.609 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.610 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.610 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.610 * [taylor]: Taking taylor expansion of phi2 in phi2 4.610 * [backup-simplify]: Simplify 0 into 0 4.610 * [backup-simplify]: Simplify 1 into 1 4.610 * [backup-simplify]: Simplify (/ 1 1) into 1 4.610 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.610 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.610 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.610 * [taylor]: Taking taylor expansion of phi1 in phi2 4.610 * [backup-simplify]: Simplify phi1 into phi1 4.610 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.610 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.610 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.610 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.611 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.611 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.611 * [taylor]: Taking taylor expansion of phi2 in phi1 4.611 * [backup-simplify]: Simplify phi2 into phi2 4.611 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.611 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.611 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.611 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.611 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.611 * [taylor]: Taking taylor expansion of phi1 in phi1 4.611 * [backup-simplify]: Simplify 0 into 0 4.611 * [backup-simplify]: Simplify 1 into 1 4.611 * [backup-simplify]: Simplify (/ 1 1) into 1 4.611 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.611 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 4.611 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 4.611 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 4.611 * [taylor]: Taking taylor expansion of phi2 in phi1 4.611 * [backup-simplify]: Simplify phi2 into phi2 4.611 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 4.611 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.611 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 4.612 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 4.612 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 4.612 * [taylor]: Taking taylor expansion of phi1 in phi1 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.612 * [backup-simplify]: Simplify (/ 1 1) into 1 4.612 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.612 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 4.612 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 4.612 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 4.612 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.612 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 4.612 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 4.612 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 4.612 * [taylor]: Taking taylor expansion of phi2 in phi2 4.612 * [backup-simplify]: Simplify 0 into 0 4.612 * [backup-simplify]: Simplify 1 into 1 4.613 * [backup-simplify]: Simplify (/ 1 1) into 1 4.613 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 4.613 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 4.613 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 4.613 * [taylor]: Taking taylor expansion of phi1 in phi2 4.613 * [backup-simplify]: Simplify phi1 into phi1 4.613 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 4.613 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 4.613 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 4.613 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 4.613 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 4.613 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 4.613 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.613 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 4.613 * [backup-simplify]: Simplify (+ 0) into 0 4.614 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 4.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 4.615 * [backup-simplify]: Simplify (+ 0 0) into 0 4.615 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.615 * [taylor]: Taking taylor expansion of 0 in phi2 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify (+ 0) into 0 4.615 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 4.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 4.616 * [backup-simplify]: Simplify (+ 0 0) into 0 4.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 4.616 * [backup-simplify]: Simplify 0 into 0 4.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.618 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.619 * [backup-simplify]: Simplify (+ 0 0) into 0 4.619 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.619 * [taylor]: Taking taylor expansion of 0 in phi2 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.619 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.620 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.621 * [backup-simplify]: Simplify (+ 0 0) into 0 4.621 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 4.621 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.622 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.623 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.624 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.624 * [backup-simplify]: Simplify (+ 0 0) into 0 4.625 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 4.625 * [taylor]: Taking taylor expansion of 0 in phi2 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 4.625 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.625 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 4.625 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.625 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.625 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.625 * [taylor]: Taking taylor expansion of -1 in phi2 4.625 * [backup-simplify]: Simplify -1 into -1 4.625 * [taylor]: Taking taylor expansion of phi1 in phi2 4.625 * [backup-simplify]: Simplify phi1 into phi1 4.625 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.625 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.625 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.625 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.625 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.625 * [taylor]: Taking taylor expansion of -1 in phi2 4.625 * [backup-simplify]: Simplify -1 into -1 4.625 * [taylor]: Taking taylor expansion of phi2 in phi2 4.625 * [backup-simplify]: Simplify 0 into 0 4.625 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (/ -1 1) into -1 4.626 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.626 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.626 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.626 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.626 * [taylor]: Taking taylor expansion of -1 in phi1 4.626 * [backup-simplify]: Simplify -1 into -1 4.626 * [taylor]: Taking taylor expansion of phi1 in phi1 4.626 * [backup-simplify]: Simplify 0 into 0 4.626 * [backup-simplify]: Simplify 1 into 1 4.626 * [backup-simplify]: Simplify (/ -1 1) into -1 4.626 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.626 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.626 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.626 * [taylor]: Taking taylor expansion of -1 in phi1 4.626 * [backup-simplify]: Simplify -1 into -1 4.626 * [taylor]: Taking taylor expansion of phi2 in phi1 4.626 * [backup-simplify]: Simplify phi2 into phi2 4.627 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.627 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.627 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.627 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 4.627 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 4.627 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 4.627 * [taylor]: Taking taylor expansion of -1 in phi1 4.627 * [backup-simplify]: Simplify -1 into -1 4.627 * [taylor]: Taking taylor expansion of phi1 in phi1 4.627 * [backup-simplify]: Simplify 0 into 0 4.627 * [backup-simplify]: Simplify 1 into 1 4.627 * [backup-simplify]: Simplify (/ -1 1) into -1 4.627 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.627 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 4.627 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 4.627 * [taylor]: Taking taylor expansion of -1 in phi1 4.627 * [backup-simplify]: Simplify -1 into -1 4.627 * [taylor]: Taking taylor expansion of phi2 in phi1 4.627 * [backup-simplify]: Simplify phi2 into phi2 4.627 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 4.627 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.627 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 4.627 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 4.627 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 4.627 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 4.628 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.628 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 4.628 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 4.628 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 4.628 * [taylor]: Taking taylor expansion of -1 in phi2 4.628 * [backup-simplify]: Simplify -1 into -1 4.628 * [taylor]: Taking taylor expansion of phi1 in phi2 4.628 * [backup-simplify]: Simplify phi1 into phi1 4.628 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 4.628 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 4.628 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 4.628 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 4.628 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 4.628 * [taylor]: Taking taylor expansion of -1 in phi2 4.628 * [backup-simplify]: Simplify -1 into -1 4.628 * [taylor]: Taking taylor expansion of phi2 in phi2 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [backup-simplify]: Simplify (/ -1 1) into -1 4.628 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 4.628 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 4.628 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 4.628 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 4.628 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.628 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 4.629 * [backup-simplify]: Simplify (+ 0) into 0 4.629 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 4.629 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 4.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.630 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 4.632 * [backup-simplify]: Simplify (+ 0 0) into 0 4.632 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.632 * [taylor]: Taking taylor expansion of 0 in phi2 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify (+ 0) into 0 4.633 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 4.633 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 4.633 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.633 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 4.634 * [backup-simplify]: Simplify (+ 0 0) into 0 4.634 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 4.634 * [backup-simplify]: Simplify 0 into 0 4.634 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.635 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.635 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.636 * [backup-simplify]: Simplify (+ 0 0) into 0 4.636 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.636 * [taylor]: Taking taylor expansion of 0 in phi2 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.636 * [backup-simplify]: Simplify 0 into 0 4.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.637 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.638 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 4.638 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.639 * [backup-simplify]: Simplify (+ 0 0) into 0 4.639 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 4.639 * [backup-simplify]: Simplify 0 into 0 4.639 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.640 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.640 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 4.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.641 * [backup-simplify]: Simplify (+ 0 0) into 0 4.642 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 4.642 * [taylor]: Taking taylor expansion of 0 in phi2 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify 0 into 0 4.642 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 4.642 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 4.642 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 4.642 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 4.642 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 4.642 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 4.642 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.642 * [backup-simplify]: Simplify lambda1 into lambda1 4.642 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 4.642 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 4.642 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.642 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.643 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.643 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.643 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.643 * [backup-simplify]: Simplify lambda2 into lambda2 4.643 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.643 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.643 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 4.643 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 4.643 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 4.643 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.643 * [backup-simplify]: Simplify lambda2 into lambda2 4.643 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 4.643 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 4.643 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 4.643 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 4.643 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 4.643 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 4.643 * [taylor]: Taking taylor expansion of 0 in lambda2 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 0 into 0 4.644 * [backup-simplify]: Simplify (+ 0) into 0 4.644 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 4.645 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.645 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 4.646 * [backup-simplify]: Simplify (+ 0 0) into 0 4.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.647 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 4.647 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.647 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 1 into 1 4.647 * [backup-simplify]: Simplify 0 into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.648 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 4.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.650 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 4.650 * [backup-simplify]: Simplify (+ 0 0) into 0 4.651 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.652 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 4.652 * [taylor]: Taking taylor expansion of 0 in lambda2 4.652 * [backup-simplify]: Simplify 0 into 0 4.652 * [backup-simplify]: Simplify 0 into 0 4.653 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 4.653 * [backup-simplify]: Simplify 1 into 1 4.653 * [backup-simplify]: Simplify 0 into 0 4.654 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.655 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.656 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.657 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.657 * [backup-simplify]: Simplify (+ 0 0) into 0 4.659 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 4.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 4.660 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 4.660 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 4.660 * [taylor]: Taking taylor expansion of 1/6 in lambda2 4.660 * [backup-simplify]: Simplify 1/6 into 1/6 4.660 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 4.660 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 1 into 1 4.660 * [backup-simplify]: Simplify (* 1/6 0) into 0 4.660 * [backup-simplify]: Simplify (- 0) into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.660 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 4.663 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.663 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.664 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 4.664 * [backup-simplify]: Simplify (+ 0 0) into 0 4.665 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 4.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 4.666 * [taylor]: Taking taylor expansion of 0 in lambda2 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 4.666 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.666 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 4.666 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.666 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.666 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.666 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.666 * [backup-simplify]: Simplify (/ 1 1) into 1 4.667 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.667 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.667 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.667 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.667 * [backup-simplify]: Simplify lambda1 into lambda1 4.667 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.667 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.667 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.667 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.667 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.667 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.667 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.667 * [backup-simplify]: Simplify lambda2 into lambda2 4.667 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.667 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.667 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.667 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.667 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.667 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [backup-simplify]: Simplify (/ 1 1) into 1 4.667 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.667 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 4.667 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 4.667 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 4.667 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.667 * [backup-simplify]: Simplify lambda2 into lambda2 4.667 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 4.667 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.667 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 4.668 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 4.668 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 4.668 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (/ 1 1) into 1 4.668 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.668 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 4.668 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 4.668 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 4.668 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.668 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 4.668 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 4.668 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 4.668 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [backup-simplify]: Simplify (/ 1 1) into 1 4.669 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 4.669 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 4.669 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 4.669 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.669 * [backup-simplify]: Simplify lambda1 into lambda1 4.669 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 4.669 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 4.669 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 4.669 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 4.669 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 4.669 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 4.669 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.669 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 4.669 * [backup-simplify]: Simplify (+ 0) into 0 4.670 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 4.670 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.670 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 4.671 * [backup-simplify]: Simplify (+ 0 0) into 0 4.671 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.671 * [taylor]: Taking taylor expansion of 0 in lambda2 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify 0 into 0 4.671 * [backup-simplify]: Simplify (+ 0) into 0 4.671 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 4.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 4.672 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.672 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 4.672 * [backup-simplify]: Simplify (+ 0 0) into 0 4.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 4.672 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.673 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.674 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.674 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.675 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.675 * [taylor]: Taking taylor expansion of 0 in lambda2 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.677 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.677 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.677 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.678 * [backup-simplify]: Simplify (+ 0 0) into 0 4.678 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 4.678 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.679 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.680 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.681 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.681 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 4.682 * [taylor]: Taking taylor expansion of 0 in lambda2 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 4.682 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.682 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 4.682 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.682 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.682 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.682 * [taylor]: Taking taylor expansion of -1 in lambda2 4.682 * [backup-simplify]: Simplify -1 into -1 4.682 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.682 * [backup-simplify]: Simplify lambda1 into lambda1 4.682 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.682 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.682 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.682 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.682 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.682 * [taylor]: Taking taylor expansion of -1 in lambda2 4.682 * [backup-simplify]: Simplify -1 into -1 4.682 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify 1 into 1 4.682 * [backup-simplify]: Simplify (/ -1 1) into -1 4.683 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.683 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.683 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.683 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.683 * [taylor]: Taking taylor expansion of -1 in lambda1 4.683 * [backup-simplify]: Simplify -1 into -1 4.683 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.683 * [backup-simplify]: Simplify (/ -1 1) into -1 4.683 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.683 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.683 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.683 * [taylor]: Taking taylor expansion of -1 in lambda1 4.683 * [backup-simplify]: Simplify -1 into -1 4.683 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.683 * [backup-simplify]: Simplify lambda2 into lambda2 4.683 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.683 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.683 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.683 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 4.683 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 4.683 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 4.683 * [taylor]: Taking taylor expansion of -1 in lambda1 4.683 * [backup-simplify]: Simplify -1 into -1 4.683 * [taylor]: Taking taylor expansion of lambda1 in lambda1 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 1 into 1 4.684 * [backup-simplify]: Simplify (/ -1 1) into -1 4.684 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.684 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 4.684 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 4.684 * [taylor]: Taking taylor expansion of -1 in lambda1 4.684 * [backup-simplify]: Simplify -1 into -1 4.684 * [taylor]: Taking taylor expansion of lambda2 in lambda1 4.684 * [backup-simplify]: Simplify lambda2 into lambda2 4.684 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 4.684 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.684 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 4.684 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 4.684 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 4.684 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 4.684 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.684 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 4.684 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 4.684 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 4.684 * [taylor]: Taking taylor expansion of -1 in lambda2 4.684 * [backup-simplify]: Simplify -1 into -1 4.684 * [taylor]: Taking taylor expansion of lambda1 in lambda2 4.684 * [backup-simplify]: Simplify lambda1 into lambda1 4.684 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 4.684 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 4.684 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 4.684 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 4.684 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 4.684 * [taylor]: Taking taylor expansion of -1 in lambda2 4.684 * [backup-simplify]: Simplify -1 into -1 4.684 * [taylor]: Taking taylor expansion of lambda2 in lambda2 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 1 into 1 4.685 * [backup-simplify]: Simplify (/ -1 1) into -1 4.685 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 4.685 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 4.685 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 4.685 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 4.685 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.685 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 4.685 * [backup-simplify]: Simplify (+ 0) into 0 4.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 4.686 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 4.686 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.687 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 4.687 * [backup-simplify]: Simplify (+ 0 0) into 0 4.687 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.687 * [taylor]: Taking taylor expansion of 0 in lambda2 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (+ 0) into 0 4.688 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 4.688 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 4.689 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 4.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 4.689 * [backup-simplify]: Simplify (+ 0 0) into 0 4.690 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 4.690 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 4.691 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.692 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 4.693 * [backup-simplify]: Simplify (+ 0 0) into 0 4.694 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.694 * [taylor]: Taking taylor expansion of 0 in lambda2 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 4.695 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 4.695 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 4.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 4.697 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 4.697 * [backup-simplify]: Simplify (+ 0 0) into 0 4.698 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 4.700 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 4.702 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 4.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 4.703 * [backup-simplify]: Simplify (+ 0 0) into 0 4.704 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 4.704 * [taylor]: Taking taylor expansion of 0 in lambda2 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 4.704 * * * [progress]: simplifying candidates 4.704 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 4.705 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 4.705 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 4.706 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 4.707 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 4.707 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 4.708 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 4.708 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 4.709 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 4.709 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 4.710 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 4.711 * [simplify]: Simplifying (/ PI 2), (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))), (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))), (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R), (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)), (log (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (exp (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (* (* R R) R)), (* (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))), (cbrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (sqrt (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) 1), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R), (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R), (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R), (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)), (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))), (* (sin phi1) (sin phi2)), (+ (log (sin phi1)) (log (sin phi2))), (log (* (sin phi1) (sin phi2))), (exp (* (sin phi1) (sin phi2))), (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))), (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))), (cbrt (* (sin phi1) (sin phi2))), (* (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2))) (* (sin phi1) (sin phi2))), (sqrt (* (sin phi1) (sin phi2))), (sqrt (* (sin phi1) (sin phi2))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (sqrt (sin phi1)) (sqrt (sin phi2))), (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))), (* (sin phi1) (sqrt (sin phi2))), (* (sin phi1) 1), (* (cbrt (sin phi1)) (sin phi2)), (* (sqrt (sin phi1)) (sin phi2)), (* (sin phi1) (sin phi2)), (real->posit16 (* (sin phi1) (sin phi2))), (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))), (* (sin lambda1) (sin lambda2)), (+ (log (sin lambda1)) (log (sin lambda2))), (log (* (sin lambda1) (sin lambda2))), (exp (* (sin lambda1) (sin lambda2))), (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))), (* (cbrt (* (sin lambda1) (sin lambda2))) (cbrt (* (sin lambda1) (sin lambda2)))), (cbrt (* (sin lambda1) (sin lambda2))), (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))), (sqrt (* (sin lambda1) (sin lambda2))), (sqrt (* (sin lambda1) (sin lambda2))), (* (sqrt (sin lambda1)) (sqrt (sin lambda2))), (* (sqrt (sin lambda1)) (sqrt (sin lambda2))), (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))), (* (sin lambda1) (sqrt (sin lambda2))), (* (sin lambda1) 1), (* (cbrt (sin lambda1)) (sin lambda2)), (* (sqrt (sin lambda1)) (sin lambda2)), (* (sin lambda1) (sin lambda2)), (real->posit16 (* (sin lambda1) (sin lambda2))), (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))), (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R), (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (* phi1 phi2), (* (sin phi1) (sin phi2)), (* (sin phi1) (sin phi2)), (* lambda2 lambda1), (* (sin lambda2) (sin lambda1)), (* (sin lambda1) (sin lambda2)) 4.714 * * [simplify]: iteration 1: (138 enodes) 4.783 * * [simplify]: iteration 2: (533 enodes) 4.977 * * [simplify]: iteration 3: (984 enodes) 5.295 * * [simplify]: iteration 4: (1499 enodes) 5.790 * * [simplify]: iteration 5: (1995 enodes) 6.628 * * [simplify]: Extracting #0: cost 55 inf + 0 6.629 * * [simplify]: Extracting #1: cost 282 inf + 0 6.631 * * [simplify]: Extracting #2: cost 559 inf + 1489 6.642 * * [simplify]: Extracting #3: cost 488 inf + 34754 6.662 * * [simplify]: Extracting #4: cost 285 inf + 99408 6.687 * * [simplify]: Extracting #5: cost 172 inf + 141941 6.725 * * [simplify]: Extracting #6: cost 87 inf + 223063 6.812 * * [simplify]: Extracting #7: cost 9 inf + 312230 6.893 * * [simplify]: Extracting #8: cost 0 inf + 323308 6.997 * [simplify]: Simplified to (/ PI 2), (asin (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (exp (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (real->posit16 (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (log (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (exp (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R))), (cbrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (* (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)) (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (sqrt (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)), (* (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (sqrt R)), (* (* (cbrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (cbrt R)), (* (sqrt R) (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (* (cbrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) R), (* R (sqrt (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (real->posit16 (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R)), (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))), (* (sin phi1) (sin phi2)), (log (* (sin phi1) (sin phi2))), (log (* (sin phi1) (sin phi2))), (exp (* (sin phi1) (sin phi2))), (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))), (* (cbrt (* (sin phi1) (sin phi2))) (cbrt (* (sin phi1) (sin phi2)))), (cbrt (* (sin phi1) (sin phi2))), (* (* (sin phi1) (sin phi2)) (* (* (sin phi1) (sin phi2)) (* (sin phi1) (sin phi2)))), (sqrt (* (sin phi1) (sin phi2))), (sqrt (* (sin phi1) (sin phi2))), (* (sqrt (sin phi2)) (sqrt (sin phi1))), (* (sqrt (sin phi2)) (sqrt (sin phi1))), (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))), (* (sqrt (sin phi2)) (sin phi1)), (sin phi1), (* (sin phi2) (cbrt (sin phi1))), (* (sin phi2) (sqrt (sin phi1))), (* (sin phi1) (sin phi2)), (real->posit16 (* (sin phi1) (sin phi2))), (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))), (* (sin lambda2) (sin lambda1)), (log (* (sin lambda2) (sin lambda1))), (log (* (sin lambda2) (sin lambda1))), (exp (* (sin lambda2) (sin lambda1))), (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))), (* (cbrt (* (sin lambda2) (sin lambda1))) (cbrt (* (sin lambda2) (sin lambda1)))), (cbrt (* (sin lambda2) (sin lambda1))), (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))), (sqrt (* (sin lambda2) (sin lambda1))), (sqrt (* (sin lambda2) (sin lambda1))), (* (sqrt (sin lambda2)) (sqrt (sin lambda1))), (* (sqrt (sin lambda2)) (sqrt (sin lambda1))), (* (* (cbrt (sin lambda2)) (sin lambda1)) (cbrt (sin lambda2))), (* (sqrt (sin lambda2)) (sin lambda1)), (sin lambda1), (* (sin lambda2) (cbrt (sin lambda1))), (* (sqrt (sin lambda1)) (sin lambda2)), (* (sin lambda2) (sin lambda1)), (real->posit16 (* (sin lambda2) (sin lambda1))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (* (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))) R), (* phi1 phi2), (* (sin phi1) (sin phi2)), (* (sin phi1) (sin phi2)), (* lambda1 lambda2), (* (sin lambda2) (sin lambda1)), (* (sin lambda2) (sin lambda1)) 7.013 * * * [progress]: adding candidates to table 8.649 * * [progress]: iteration 3 / 4 8.649 * * * [progress]: picking best candidate 8.806 * * * * [pick]: Picked # 8.806 * * * [progress]: localizing error 8.902 * * * [progress]: generating rewritten candidates 8.902 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 9.019 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 9.023 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2 1 1) 9.106 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 9.118 * * * [progress]: generating series expansions 9.119 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 9.119 * [backup-simplify]: Simplify (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 9.119 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 9.119 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 9.119 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 9.119 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.119 * [backup-simplify]: Simplify lambda1 into lambda1 9.119 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 9.119 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 9.119 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.119 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.119 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.119 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.119 * [backup-simplify]: Simplify 0 into 0 9.119 * [backup-simplify]: Simplify 1 into 1 9.119 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.119 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.119 * [backup-simplify]: Simplify lambda2 into lambda2 9.120 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.120 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.120 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 9.120 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.120 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 1 into 1 9.120 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.120 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.120 * [backup-simplify]: Simplify lambda2 into lambda2 9.120 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.120 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.120 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 9.120 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 9.120 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 9.120 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 9.120 * [taylor]: Taking taylor expansion of 0 in lambda2 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify (+ 0) into 0 9.121 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 9.122 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.123 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 9.123 * [backup-simplify]: Simplify (+ 0 0) into 0 9.124 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.124 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 9.124 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.124 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 0 into 0 9.125 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.126 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 9.127 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.127 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 9.128 * [backup-simplify]: Simplify (+ 0 0) into 0 9.128 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.129 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 9.129 * [taylor]: Taking taylor expansion of 0 in lambda2 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 0 into 0 9.130 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.130 * [backup-simplify]: Simplify 1 into 1 9.130 * [backup-simplify]: Simplify 0 into 0 9.131 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.132 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.134 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.135 * [backup-simplify]: Simplify (+ 0 0) into 0 9.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.138 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 9.138 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 9.138 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 9.138 * [taylor]: Taking taylor expansion of 1/6 in lambda2 9.138 * [backup-simplify]: Simplify 1/6 into 1/6 9.138 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.138 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.138 * [backup-simplify]: Simplify 0 into 0 9.138 * [backup-simplify]: Simplify 1 into 1 9.138 * [backup-simplify]: Simplify (* 1/6 0) into 0 9.141 * [backup-simplify]: Simplify (- 0) into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.141 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 4) 24)) 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 0 9.146 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.147 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.148 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 9.149 * [backup-simplify]: Simplify (+ 0 0) into 0 9.150 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 9.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 9.152 * [taylor]: Taking taylor expansion of 0 in lambda2 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify 0 into 0 9.152 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 9.153 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.153 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 9.153 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 9.153 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.153 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.153 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.153 * [backup-simplify]: Simplify 0 into 0 9.153 * [backup-simplify]: Simplify 1 into 1 9.153 * [backup-simplify]: Simplify (/ 1 1) into 1 9.153 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.153 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.153 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.153 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.153 * [backup-simplify]: Simplify lambda1 into lambda1 9.153 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.154 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.154 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.154 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 9.154 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.154 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.154 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.154 * [backup-simplify]: Simplify lambda2 into lambda2 9.154 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.154 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.154 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.154 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.154 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.154 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.154 * [backup-simplify]: Simplify 0 into 0 9.154 * [backup-simplify]: Simplify 1 into 1 9.155 * [backup-simplify]: Simplify (/ 1 1) into 1 9.155 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.155 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 9.155 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.155 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.155 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.155 * [backup-simplify]: Simplify lambda2 into lambda2 9.155 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.155 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.155 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.155 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.155 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.155 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.156 * [backup-simplify]: Simplify 0 into 0 9.156 * [backup-simplify]: Simplify 1 into 1 9.156 * [backup-simplify]: Simplify (/ 1 1) into 1 9.156 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.157 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 9.157 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 9.157 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 9.157 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.157 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 9.157 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.157 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.157 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.157 * [backup-simplify]: Simplify 0 into 0 9.157 * [backup-simplify]: Simplify 1 into 1 9.158 * [backup-simplify]: Simplify (/ 1 1) into 1 9.158 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.158 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.158 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.158 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.158 * [backup-simplify]: Simplify lambda1 into lambda1 9.158 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.158 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.158 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.158 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 9.159 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 9.159 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 9.159 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.159 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 9.160 * [backup-simplify]: Simplify (+ 0) into 0 9.160 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 9.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 9.161 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 9.162 * [backup-simplify]: Simplify (+ 0 0) into 0 9.162 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 9.162 * [taylor]: Taking taylor expansion of 0 in lambda2 9.162 * [backup-simplify]: Simplify 0 into 0 9.162 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify (+ 0) into 0 9.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 9.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 9.164 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.164 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 9.165 * [backup-simplify]: Simplify (+ 0 0) into 0 9.165 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.167 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.167 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.168 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.168 * [backup-simplify]: Simplify (+ 0 0) into 0 9.168 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 9.168 * [taylor]: Taking taylor expansion of 0 in lambda2 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 0 into 0 9.168 * [backup-simplify]: Simplify 0 into 0 9.169 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.169 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 9.170 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.170 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.171 * [backup-simplify]: Simplify (+ 0 0) into 0 9.171 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.172 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.173 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.174 * [backup-simplify]: Simplify (+ 0 0) into 0 9.174 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 9.174 * [taylor]: Taking taylor expansion of 0 in lambda2 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 9.175 * [backup-simplify]: Simplify (cbrt (* (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.175 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 9.175 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 9.175 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.175 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.175 * [taylor]: Taking taylor expansion of -1 in lambda2 9.175 * [backup-simplify]: Simplify -1 into -1 9.175 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.175 * [backup-simplify]: Simplify lambda1 into lambda1 9.175 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.175 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.175 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.175 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.175 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.175 * [taylor]: Taking taylor expansion of -1 in lambda2 9.175 * [backup-simplify]: Simplify -1 into -1 9.175 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (/ -1 1) into -1 9.175 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.176 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 9.176 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.176 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.176 * [taylor]: Taking taylor expansion of -1 in lambda1 9.176 * [backup-simplify]: Simplify -1 into -1 9.176 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.176 * [backup-simplify]: Simplify (/ -1 1) into -1 9.176 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.176 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.176 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.176 * [taylor]: Taking taylor expansion of -1 in lambda1 9.176 * [backup-simplify]: Simplify -1 into -1 9.176 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.176 * [backup-simplify]: Simplify lambda2 into lambda2 9.176 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.176 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.176 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.176 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 9.176 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.176 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.176 * [taylor]: Taking taylor expansion of -1 in lambda1 9.176 * [backup-simplify]: Simplify -1 into -1 9.176 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.176 * [backup-simplify]: Simplify 0 into 0 9.176 * [backup-simplify]: Simplify 1 into 1 9.177 * [backup-simplify]: Simplify (/ -1 1) into -1 9.177 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.177 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.177 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.177 * [taylor]: Taking taylor expansion of -1 in lambda1 9.177 * [backup-simplify]: Simplify -1 into -1 9.177 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.177 * [backup-simplify]: Simplify lambda2 into lambda2 9.177 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.177 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.177 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.177 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 9.177 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 9.177 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 9.177 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.177 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 9.177 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.177 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.177 * [taylor]: Taking taylor expansion of -1 in lambda2 9.177 * [backup-simplify]: Simplify -1 into -1 9.177 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.177 * [backup-simplify]: Simplify lambda1 into lambda1 9.177 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.177 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.177 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.177 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.177 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.178 * [taylor]: Taking taylor expansion of -1 in lambda2 9.178 * [backup-simplify]: Simplify -1 into -1 9.178 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [backup-simplify]: Simplify (/ -1 1) into -1 9.178 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.178 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 9.178 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 9.178 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 9.178 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.178 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 9.178 * [backup-simplify]: Simplify (+ 0) into 0 9.179 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 9.179 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 9.179 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.180 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 9.180 * [backup-simplify]: Simplify (+ 0 0) into 0 9.180 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.180 * [taylor]: Taking taylor expansion of 0 in lambda2 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify 0 into 0 9.180 * [backup-simplify]: Simplify (+ 0) into 0 9.181 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 9.181 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 9.181 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.181 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 9.182 * [backup-simplify]: Simplify (+ 0 0) into 0 9.182 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.182 * [backup-simplify]: Simplify 0 into 0 9.182 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.183 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.183 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.183 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.184 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.184 * [backup-simplify]: Simplify (+ 0 0) into 0 9.184 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 9.184 * [taylor]: Taking taylor expansion of 0 in lambda2 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.184 * [backup-simplify]: Simplify 0 into 0 9.185 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.185 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.185 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 9.186 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.186 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.186 * [backup-simplify]: Simplify (+ 0 0) into 0 9.187 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 9.187 * [backup-simplify]: Simplify 0 into 0 9.187 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.188 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.188 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.189 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.189 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.189 * [backup-simplify]: Simplify (+ 0 0) into 0 9.190 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 9.190 * [taylor]: Taking taylor expansion of 0 in lambda2 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.190 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 9.190 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 9.191 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.191 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in (phi1 phi2 lambda1 lambda2) around 0 9.191 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.191 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.191 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.191 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.191 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.192 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.192 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.192 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.192 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.192 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.192 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.193 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.193 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.193 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.193 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.193 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.193 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.193 * [taylor]: Taking taylor expansion of 0 in phi2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda1 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda1 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in phi2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda1 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda1 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [taylor]: Taking taylor expansion of 0 in lambda2 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.195 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cbrt (* (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.195 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.195 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.195 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.196 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 9.196 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.196 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.197 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.197 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 9.198 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.198 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 9.199 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.199 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.200 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.200 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 9.201 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.201 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.202 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.202 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.202 * [taylor]: Taking taylor expansion of 0 in phi2 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda1 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda2 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda1 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda2 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda2 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in phi2 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda1 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda2 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda1 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [taylor]: Taking taylor expansion of 0 in lambda2 9.203 * [backup-simplify]: Simplify 0 into 0 9.203 * [backup-simplify]: Simplify 0 into 0 9.204 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 9.206 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cbrt (* (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.206 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi1 phi2 lambda1 lambda2) around 0 9.206 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 9.206 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.207 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.207 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.207 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 9.208 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.208 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.209 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.209 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.210 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 9.211 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.212 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.212 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 9.213 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.214 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.214 * [taylor]: Taking taylor expansion of 0 in phi2 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in lambda1 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in lambda2 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in lambda1 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in lambda2 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in lambda2 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in phi2 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in lambda1 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [taylor]: Taking taylor expansion of 0 in lambda2 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 0 into 0 9.215 * [taylor]: Taking taylor expansion of 0 in lambda1 9.215 * [backup-simplify]: Simplify 0 into 0 9.215 * [taylor]: Taking taylor expansion of 0 in lambda2 9.215 * [backup-simplify]: Simplify 0 into 0 9.215 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.216 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2 1 1) 9.216 * [backup-simplify]: Simplify (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) into (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) 9.216 * [approximate]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in (lambda1 lambda2) around 0 9.216 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda2 9.217 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda2 9.217 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 9.217 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.217 * [backup-simplify]: Simplify lambda1 into lambda1 9.217 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 9.217 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 9.217 * [backup-simplify]: Simplify (* (sin lambda1) 1) into (sin lambda1) 9.217 * [backup-simplify]: Simplify (* (cos lambda1) 0) into 0 9.217 * [backup-simplify]: Simplify (+ (sin lambda1) 0) into (sin lambda1) 9.217 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 9.217 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.217 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.217 * [backup-simplify]: Simplify 0 into 0 9.217 * [backup-simplify]: Simplify 1 into 1 9.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.218 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda1 9.218 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda1 9.218 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.218 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.218 * [backup-simplify]: Simplify 0 into 0 9.218 * [backup-simplify]: Simplify 1 into 1 9.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.219 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda1 9.219 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.219 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.219 * [backup-simplify]: Simplify lambda2 into lambda2 9.219 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.219 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.219 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 9.219 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 9.220 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 9.220 * [taylor]: Taking taylor expansion of (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) in lambda1 9.220 * [taylor]: Taking taylor expansion of (pow (sin lambda1) 2) in lambda1 9.220 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 9.220 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.220 * [backup-simplify]: Simplify 0 into 0 9.220 * [backup-simplify]: Simplify 1 into 1 9.220 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.220 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda1 9.221 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 9.221 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.221 * [backup-simplify]: Simplify lambda2 into lambda2 9.221 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 9.221 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 9.221 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 9.221 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 9.221 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 9.222 * [backup-simplify]: Simplify (* 1 1) into 1 9.222 * [backup-simplify]: Simplify (* (sin lambda2) (sin lambda2)) into (pow (sin lambda2) 2) 9.222 * [backup-simplify]: Simplify (* 1 (pow (sin lambda2) 2)) into (pow (sin lambda2) 2) 9.222 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 9.222 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.222 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.222 * [backup-simplify]: Simplify 0 into 0 9.222 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.223 * [backup-simplify]: Simplify (* 1 1) into 1 9.223 * [backup-simplify]: Simplify 1 into 1 9.223 * [backup-simplify]: Simplify (+ 0) into 0 9.224 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 9.225 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.225 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 9.225 * [backup-simplify]: Simplify (+ 0 0) into 0 9.226 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 (sin lambda2))) into 0 9.226 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (sin lambda2) 2))) into 0 9.228 * [taylor]: Taking taylor expansion of 0 in lambda2 9.228 * [backup-simplify]: Simplify 0 into 0 9.228 * [backup-simplify]: Simplify 0 into 0 9.229 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.229 * [backup-simplify]: Simplify 0 into 0 9.230 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.231 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 9.232 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.232 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.233 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 (sin lambda2)))) into 0 9.235 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.236 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 9.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/3 (pow (sin lambda2) 2)))) into (- (* 1/3 (pow (sin lambda2) 2))) 9.237 * [taylor]: Taking taylor expansion of (- (* 1/3 (pow (sin lambda2) 2))) in lambda2 9.237 * [taylor]: Taking taylor expansion of (* 1/3 (pow (sin lambda2) 2)) in lambda2 9.237 * [taylor]: Taking taylor expansion of 1/3 in lambda2 9.237 * [backup-simplify]: Simplify 1/3 into 1/3 9.237 * [taylor]: Taking taylor expansion of (pow (sin lambda2) 2) in lambda2 9.237 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 9.237 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.237 * [backup-simplify]: Simplify 0 into 0 9.237 * [backup-simplify]: Simplify 1 into 1 9.238 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 9.238 * [backup-simplify]: Simplify (* 1 1) into 1 9.238 * [backup-simplify]: Simplify (* 1/3 1) into 1/3 9.239 * [backup-simplify]: Simplify (- 1/3) into -1/3 9.239 * [backup-simplify]: Simplify -1/3 into -1/3 9.239 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 9.241 * [backup-simplify]: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 9.242 * [backup-simplify]: Simplify -1/3 into -1/3 9.243 * [backup-simplify]: Simplify (+ (* -1/3 (pow (* (pow lambda2 2) lambda1) 2)) (+ (* -1/3 (pow (* lambda2 (pow lambda1 2)) 2)) (* 1 (pow (* lambda2 lambda1) 2)))) into (- (* (pow lambda2 2) (pow lambda1 2)) (+ (* 1/3 (* (pow lambda2 2) (pow lambda1 4))) (* 1/3 (* (pow lambda2 4) (pow lambda1 2))))) 9.243 * [backup-simplify]: Simplify (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 9.243 * [approximate]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in (lambda1 lambda2) around 0 9.243 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda2 9.243 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda2 9.243 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.243 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.243 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.244 * [backup-simplify]: Simplify (/ 1 1) into 1 9.244 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.244 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda2 9.244 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.244 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.244 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.244 * [backup-simplify]: Simplify lambda1 into lambda1 9.244 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.244 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.244 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.244 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 9.244 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 9.245 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 9.245 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda1 9.245 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda1 9.245 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.245 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.245 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.245 * [backup-simplify]: Simplify lambda2 into lambda2 9.245 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.245 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.245 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.245 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 9.245 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 9.245 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 9.245 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda1 9.245 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.245 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.245 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.246 * [backup-simplify]: Simplify (/ 1 1) into 1 9.246 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.246 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda1 9.246 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda1 9.246 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 9.246 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 9.246 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.246 * [backup-simplify]: Simplify lambda2 into lambda2 9.246 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 9.246 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.246 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 9.246 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 9.246 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 9.247 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 9.247 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda1 9.247 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 9.247 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 9.247 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.247 * [backup-simplify]: Simplify 0 into 0 9.247 * [backup-simplify]: Simplify 1 into 1 9.247 * [backup-simplify]: Simplify (/ 1 1) into 1 9.247 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.248 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 9.248 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 9.248 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 9.248 * [taylor]: Taking taylor expansion of (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) in lambda2 9.248 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda2)) 2) in lambda2 9.248 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 9.248 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 9.248 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.248 * [backup-simplify]: Simplify 0 into 0 9.248 * [backup-simplify]: Simplify 1 into 1 9.248 * [backup-simplify]: Simplify (/ 1 1) into 1 9.249 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 9.249 * [taylor]: Taking taylor expansion of (pow (sin (/ 1 lambda1)) 2) in lambda2 9.249 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 9.249 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 9.249 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.249 * [backup-simplify]: Simplify lambda1 into lambda1 9.249 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 9.249 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 9.249 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 9.249 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 9.249 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 9.249 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 9.249 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda2))) into (pow (sin (/ 1 lambda2)) 2) 9.249 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda1))) into (pow (sin (/ 1 lambda1)) 2) 9.250 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 9.250 * [backup-simplify]: Simplify (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) into (* (pow (sin (/ 1 lambda2)) 2) (pow (sin (/ 1 lambda1)) 2)) 9.250 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 9.250 * [backup-simplify]: Simplify (+ 0) into 0 9.251 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 9.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 9.252 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.252 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 9.253 * [backup-simplify]: Simplify (+ 0 0) into 0 9.253 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 9.253 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 9.253 * [taylor]: Taking taylor expansion of 0 in lambda2 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify (+ 0) into 0 9.254 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 9.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 9.255 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 9.256 * [backup-simplify]: Simplify (+ 0 0) into 0 9.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 9.256 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda2)))) into 0 9.256 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (* 0 (pow (sin (/ 1 lambda1)) 2))) into 0 9.256 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 9.258 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.258 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.260 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.260 * [backup-simplify]: Simplify (+ 0 0) into 0 9.261 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 9.261 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 9.261 * [taylor]: Taking taylor expansion of 0 in lambda2 9.261 * [backup-simplify]: Simplify 0 into 0 9.261 * [backup-simplify]: Simplify 0 into 0 9.261 * [backup-simplify]: Simplify 0 into 0 9.262 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.263 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 9.264 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.265 * [backup-simplify]: Simplify (+ 0 0) into 0 9.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 9.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2))))) into 0 9.267 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2)))) into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 9.269 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.272 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.275 * [backup-simplify]: Simplify (+ 0 0) into 0 9.276 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda2)))))) into 0 9.277 * [backup-simplify]: Simplify (+ (* (pow (sin (/ 1 lambda2)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ 1 lambda1)) 2))))) into 0 9.277 * [taylor]: Taking taylor expansion of 0 in lambda2 9.277 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify 0 into 0 9.277 * [backup-simplify]: Simplify (* (pow (sin (/ 1 (/ 1 lambda2))) 2) (pow (sin (/ 1 (/ 1 lambda1))) 2)) into (* (pow (sin lambda2) 2) (pow (sin lambda1) 2)) 9.278 * [backup-simplify]: Simplify (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 9.278 * [approximate]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in (lambda1 lambda2) around 0 9.278 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda2 9.278 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda2 9.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.278 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.278 * [taylor]: Taking taylor expansion of -1 in lambda2 9.278 * [backup-simplify]: Simplify -1 into -1 9.278 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.278 * [backup-simplify]: Simplify lambda1 into lambda1 9.278 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.278 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.278 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.278 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 9.278 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 9.278 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 9.278 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda2 9.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.278 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.278 * [taylor]: Taking taylor expansion of -1 in lambda2 9.279 * [backup-simplify]: Simplify -1 into -1 9.279 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.279 * [backup-simplify]: Simplify (/ -1 1) into -1 9.279 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.279 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda1 9.279 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda1 9.279 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.279 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.279 * [taylor]: Taking taylor expansion of -1 in lambda1 9.279 * [backup-simplify]: Simplify -1 into -1 9.279 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.279 * [backup-simplify]: Simplify 0 into 0 9.279 * [backup-simplify]: Simplify 1 into 1 9.280 * [backup-simplify]: Simplify (/ -1 1) into -1 9.280 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.280 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda1 9.280 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.280 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.280 * [taylor]: Taking taylor expansion of -1 in lambda1 9.280 * [backup-simplify]: Simplify -1 into -1 9.280 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.280 * [backup-simplify]: Simplify lambda2 into lambda2 9.280 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.280 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.280 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.280 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 9.281 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 9.281 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 9.281 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda1 9.281 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda1 9.281 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 9.281 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 9.281 * [taylor]: Taking taylor expansion of -1 in lambda1 9.281 * [backup-simplify]: Simplify -1 into -1 9.281 * [taylor]: Taking taylor expansion of lambda1 in lambda1 9.281 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify 1 into 1 9.281 * [backup-simplify]: Simplify (/ -1 1) into -1 9.281 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.281 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda1 9.281 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 9.281 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 9.282 * [taylor]: Taking taylor expansion of -1 in lambda1 9.282 * [backup-simplify]: Simplify -1 into -1 9.282 * [taylor]: Taking taylor expansion of lambda2 in lambda1 9.282 * [backup-simplify]: Simplify lambda2 into lambda2 9.282 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 9.282 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.282 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 9.282 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 9.282 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 9.282 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 9.282 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 9.282 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 9.283 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 9.283 * [taylor]: Taking taylor expansion of (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) in lambda2 9.283 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda1)) 2) in lambda2 9.283 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 9.283 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 9.283 * [taylor]: Taking taylor expansion of -1 in lambda2 9.283 * [backup-simplify]: Simplify -1 into -1 9.283 * [taylor]: Taking taylor expansion of lambda1 in lambda2 9.283 * [backup-simplify]: Simplify lambda1 into lambda1 9.283 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 9.283 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 9.283 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 9.283 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 9.283 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 9.283 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 9.283 * [taylor]: Taking taylor expansion of (pow (sin (/ -1 lambda2)) 2) in lambda2 9.283 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 9.283 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 9.283 * [taylor]: Taking taylor expansion of -1 in lambda2 9.283 * [backup-simplify]: Simplify -1 into -1 9.283 * [taylor]: Taking taylor expansion of lambda2 in lambda2 9.283 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 1 into 1 9.284 * [backup-simplify]: Simplify (/ -1 1) into -1 9.284 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 9.284 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda1))) into (pow (sin (/ -1 lambda1)) 2) 9.284 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) (sin (/ -1 lambda2))) into (pow (sin (/ -1 lambda2)) 2) 9.285 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 9.285 * [backup-simplify]: Simplify (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) into (* (pow (sin (/ -1 lambda1)) 2) (pow (sin (/ -1 lambda2)) 2)) 9.285 * [backup-simplify]: Simplify (+ 0) into 0 9.286 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 9.286 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 9.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 9.287 * [backup-simplify]: Simplify (+ 0 0) into 0 9.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 9.288 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 9.288 * [taylor]: Taking taylor expansion of 0 in lambda2 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify 0 into 0 9.288 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 9.289 * [backup-simplify]: Simplify (+ 0) into 0 9.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 9.289 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 9.290 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 9.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 9.291 * [backup-simplify]: Simplify (+ 0 0) into 0 9.291 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda1)))) into 0 9.291 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (* 0 (pow (sin (/ -1 lambda2)) 2))) into 0 9.291 * [backup-simplify]: Simplify 0 into 0 9.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 9.293 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.294 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 9.295 * [backup-simplify]: Simplify (+ 0 0) into 0 9.295 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 9.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 9.296 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 9.296 * [taylor]: Taking taylor expansion of 0 in lambda2 9.296 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify 0 into 0 9.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 9.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 9.299 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 9.299 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 9.300 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 9.300 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 9.301 * [backup-simplify]: Simplify (+ 0 0) into 0 9.301 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1))))) into 0 9.302 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2)))) into 0 9.302 * [backup-simplify]: Simplify 0 into 0 9.303 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 9.303 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.304 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 9.305 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 9.306 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 9.306 * [backup-simplify]: Simplify (+ 0 0) into 0 9.307 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 9.308 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda1)))))) into 0 9.309 * [backup-simplify]: Simplify (+ (* (pow (sin (/ -1 lambda1)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (sin (/ -1 lambda2)) 2))))) into 0 9.309 * [taylor]: Taking taylor expansion of 0 in lambda2 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify 0 into 0 9.309 * [backup-simplify]: Simplify (* (pow (sin (/ -1 (/ 1 (- lambda1)))) 2) (pow (sin (/ -1 (/ 1 (- lambda2)))) 2)) into (* (pow (sin lambda1) 2) (pow (sin lambda2) 2)) 9.309 * * * * [progress]: [ 4 / 4 ] generating series at (2) 9.310 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) R) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.310 * [approximate]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in (phi1 phi2 lambda1 lambda2 R) around 0 9.310 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 9.310 * [taylor]: Taking taylor expansion of R in R 9.310 * [backup-simplify]: Simplify 0 into 0 9.310 * [backup-simplify]: Simplify 1 into 1 9.310 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 9.311 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.311 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 9.311 * [taylor]: Taking taylor expansion of R in lambda2 9.311 * [backup-simplify]: Simplify R into R 9.311 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.312 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.312 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 9.312 * [taylor]: Taking taylor expansion of R in lambda1 9.312 * [backup-simplify]: Simplify R into R 9.312 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.312 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.312 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 9.312 * [taylor]: Taking taylor expansion of R in phi2 9.312 * [backup-simplify]: Simplify R into R 9.312 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.313 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.313 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 9.313 * [taylor]: Taking taylor expansion of R in phi1 9.313 * [backup-simplify]: Simplify R into R 9.313 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.314 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.314 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 9.314 * [taylor]: Taking taylor expansion of R in phi1 9.314 * [backup-simplify]: Simplify R into R 9.314 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi1 9.314 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.315 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.315 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 9.315 * [taylor]: Taking taylor expansion of R in phi2 9.315 * [backup-simplify]: Simplify R into R 9.315 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in phi2 9.316 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.316 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.317 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 9.317 * [taylor]: Taking taylor expansion of R in lambda1 9.317 * [backup-simplify]: Simplify R into R 9.317 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda1 9.317 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.318 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.318 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 9.318 * [taylor]: Taking taylor expansion of R in lambda2 9.318 * [backup-simplify]: Simplify R into R 9.318 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in lambda2 9.318 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.319 * [backup-simplify]: Simplify (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.319 * [taylor]: Taking taylor expansion of (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in R 9.319 * [taylor]: Taking taylor expansion of R in R 9.319 * [backup-simplify]: Simplify 0 into 0 9.319 * [backup-simplify]: Simplify 1 into 1 9.319 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) in R 9.320 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.320 * [backup-simplify]: Simplify (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into 0 9.320 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 9.321 * [taylor]: Taking taylor expansion of 0 in phi2 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [taylor]: Taking taylor expansion of 0 in lambda1 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [taylor]: Taking taylor expansion of 0 in lambda2 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [taylor]: Taking taylor expansion of 0 in R 9.321 * [backup-simplify]: Simplify 0 into 0 9.321 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 9.322 * [taylor]: Taking taylor expansion of 0 in lambda1 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [taylor]: Taking taylor expansion of 0 in lambda2 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [taylor]: Taking taylor expansion of 0 in R 9.322 * [backup-simplify]: Simplify 0 into 0 9.322 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 9.323 * [taylor]: Taking taylor expansion of 0 in lambda2 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [taylor]: Taking taylor expansion of 0 in R 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify 0 into 0 9.323 * [backup-simplify]: Simplify (+ (* R 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into 0 9.324 * [taylor]: Taking taylor expansion of 0 in R 9.324 * [backup-simplify]: Simplify 0 into 0 9.324 * [backup-simplify]: Simplify 0 into 0 9.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.325 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.327 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 9.327 * [taylor]: Taking taylor expansion of 0 in phi2 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [taylor]: Taking taylor expansion of 0 in lambda1 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [taylor]: Taking taylor expansion of 0 in lambda2 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [taylor]: Taking taylor expansion of 0 in R 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [taylor]: Taking taylor expansion of 0 in lambda1 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [taylor]: Taking taylor expansion of 0 in lambda2 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [taylor]: Taking taylor expansion of 0 in R 9.327 * [backup-simplify]: Simplify 0 into 0 9.327 * [backup-simplify]: Simplify 0 into 0 9.328 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 9.329 * [taylor]: Taking taylor expansion of 0 in lambda1 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [taylor]: Taking taylor expansion of 0 in lambda2 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [taylor]: Taking taylor expansion of 0 in R 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [taylor]: Taking taylor expansion of 0 in lambda2 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [taylor]: Taking taylor expansion of 0 in R 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [taylor]: Taking taylor expansion of 0 in lambda2 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [taylor]: Taking taylor expansion of 0 in R 9.329 * [backup-simplify]: Simplify 0 into 0 9.329 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify (+ (* R 0) (+ (* 0 0) (* 0 (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))))) into 0 9.330 * [taylor]: Taking taylor expansion of 0 in lambda2 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [taylor]: Taking taylor expansion of 0 in R 9.330 * [backup-simplify]: Simplify 0 into 0 9.330 * [backup-simplify]: Simplify 0 into 0 9.332 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.333 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (cbrt (* (* (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2)))) (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.333 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi1 phi2 lambda1 lambda2 R) around 0 9.333 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 9.333 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 9.334 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.334 * [taylor]: Taking taylor expansion of R in R 9.334 * [backup-simplify]: Simplify 0 into 0 9.334 * [backup-simplify]: Simplify 1 into 1 9.335 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.335 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 9.335 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.335 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.335 * [taylor]: Taking taylor expansion of R in lambda2 9.335 * [backup-simplify]: Simplify R into R 9.336 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.336 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 9.336 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 9.337 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.337 * [taylor]: Taking taylor expansion of R in lambda1 9.337 * [backup-simplify]: Simplify R into R 9.338 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.338 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 9.338 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.339 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.339 * [taylor]: Taking taylor expansion of R in phi2 9.339 * [backup-simplify]: Simplify R into R 9.340 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.340 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 9.340 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 9.341 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.341 * [taylor]: Taking taylor expansion of R in phi1 9.341 * [backup-simplify]: Simplify R into R 9.341 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.341 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 9.342 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 9.342 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.342 * [taylor]: Taking taylor expansion of R in phi1 9.342 * [backup-simplify]: Simplify R into R 9.343 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.343 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 9.343 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 9.344 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.344 * [taylor]: Taking taylor expansion of R in phi2 9.344 * [backup-simplify]: Simplify R into R 9.345 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.345 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 9.345 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 9.346 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.346 * [taylor]: Taking taylor expansion of R in lambda1 9.346 * [backup-simplify]: Simplify R into R 9.347 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.347 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 9.347 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 9.348 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.348 * [taylor]: Taking taylor expansion of R in lambda2 9.348 * [backup-simplify]: Simplify R into R 9.349 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 9.349 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 9.349 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 9.349 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.350 * [taylor]: Taking taylor expansion of R in R 9.350 * [backup-simplify]: Simplify 0 into 0 9.350 * [backup-simplify]: Simplify 1 into 1 9.350 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.351 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 9.352 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 9.352 * [taylor]: Taking taylor expansion of 0 in phi2 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [taylor]: Taking taylor expansion of 0 in lambda1 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [taylor]: Taking taylor expansion of 0 in lambda2 9.352 * [backup-simplify]: Simplify 0 into 0 9.352 * [taylor]: Taking taylor expansion of 0 in R 9.352 * [backup-simplify]: Simplify 0 into 0 9.354 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 9.354 * [taylor]: Taking taylor expansion of 0 in lambda1 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [taylor]: Taking taylor expansion of 0 in lambda2 9.354 * [backup-simplify]: Simplify 0 into 0 9.354 * [taylor]: Taking taylor expansion of 0 in R 9.354 * [backup-simplify]: Simplify 0 into 0 9.355 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 9.355 * [taylor]: Taking taylor expansion of 0 in lambda2 9.355 * [backup-simplify]: Simplify 0 into 0 9.355 * [taylor]: Taking taylor expansion of 0 in R 9.355 * [backup-simplify]: Simplify 0 into 0 9.356 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 9.356 * [taylor]: Taking taylor expansion of 0 in R 9.356 * [backup-simplify]: Simplify 0 into 0 9.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 9.358 * [backup-simplify]: Simplify 0 into 0 9.359 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.359 * [taylor]: Taking taylor expansion of 0 in phi2 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [taylor]: Taking taylor expansion of 0 in lambda1 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [taylor]: Taking taylor expansion of 0 in lambda2 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [taylor]: Taking taylor expansion of 0 in R 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [taylor]: Taking taylor expansion of 0 in lambda1 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [taylor]: Taking taylor expansion of 0 in lambda2 9.359 * [backup-simplify]: Simplify 0 into 0 9.359 * [taylor]: Taking taylor expansion of 0 in R 9.360 * [backup-simplify]: Simplify 0 into 0 9.361 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.361 * [taylor]: Taking taylor expansion of 0 in lambda1 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [taylor]: Taking taylor expansion of 0 in lambda2 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [taylor]: Taking taylor expansion of 0 in R 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [taylor]: Taking taylor expansion of 0 in lambda2 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [taylor]: Taking taylor expansion of 0 in R 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [taylor]: Taking taylor expansion of 0 in lambda2 9.361 * [backup-simplify]: Simplify 0 into 0 9.361 * [taylor]: Taking taylor expansion of 0 in R 9.361 * [backup-simplify]: Simplify 0 into 0 9.362 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.362 * [taylor]: Taking taylor expansion of 0 in lambda2 9.362 * [backup-simplify]: Simplify 0 into 0 9.362 * [taylor]: Taking taylor expansion of 0 in R 9.362 * [backup-simplify]: Simplify 0 into 0 9.362 * [taylor]: Taking taylor expansion of 0 in R 9.362 * [backup-simplify]: Simplify 0 into 0 9.362 * [taylor]: Taking taylor expansion of 0 in R 9.362 * [backup-simplify]: Simplify 0 into 0 9.362 * [taylor]: Taking taylor expansion of 0 in R 9.362 * [backup-simplify]: Simplify 0 into 0 9.363 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.364 * [taylor]: Taking taylor expansion of 0 in R 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.364 * [backup-simplify]: Simplify 0 into 0 9.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.367 * [backup-simplify]: Simplify 0 into 0 9.368 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 9.370 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (cbrt (* (* (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2))))) (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 9.370 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi1 phi2 lambda1 lambda2 R) around 0 9.370 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 9.370 * [taylor]: Taking taylor expansion of -1 in R 9.370 * [backup-simplify]: Simplify -1 into -1 9.370 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 9.370 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 9.371 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.371 * [taylor]: Taking taylor expansion of R in R 9.371 * [backup-simplify]: Simplify 0 into 0 9.371 * [backup-simplify]: Simplify 1 into 1 9.372 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.372 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 9.372 * [taylor]: Taking taylor expansion of -1 in lambda2 9.372 * [backup-simplify]: Simplify -1 into -1 9.372 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 9.372 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 9.373 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.373 * [taylor]: Taking taylor expansion of R in lambda2 9.373 * [backup-simplify]: Simplify R into R 9.373 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 9.374 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 9.374 * [taylor]: Taking taylor expansion of -1 in lambda1 9.374 * [backup-simplify]: Simplify -1 into -1 9.374 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 9.374 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.375 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.375 * [taylor]: Taking taylor expansion of R in lambda1 9.375 * [backup-simplify]: Simplify R into R 9.376 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 9.376 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 9.376 * [taylor]: Taking taylor expansion of -1 in phi2 9.376 * [backup-simplify]: Simplify -1 into -1 9.376 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 9.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 9.377 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.377 * [taylor]: Taking taylor expansion of R in phi2 9.377 * [backup-simplify]: Simplify R into R 9.378 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 9.378 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 9.378 * [taylor]: Taking taylor expansion of -1 in phi1 9.378 * [backup-simplify]: Simplify -1 into -1 9.378 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 9.378 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.379 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.379 * [taylor]: Taking taylor expansion of R in phi1 9.379 * [backup-simplify]: Simplify R into R 9.380 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 9.380 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 9.380 * [taylor]: Taking taylor expansion of -1 in phi1 9.380 * [backup-simplify]: Simplify -1 into -1 9.380 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 9.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 9.381 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.381 * [taylor]: Taking taylor expansion of R in phi1 9.381 * [backup-simplify]: Simplify R into R 9.382 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 9.383 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 9.383 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi2 9.383 * [taylor]: Taking taylor expansion of -1 in phi2 9.383 * [backup-simplify]: Simplify -1 into -1 9.383 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi2 9.383 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi2 9.384 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.384 * [taylor]: Taking taylor expansion of R in phi2 9.384 * [backup-simplify]: Simplify R into R 9.385 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 9.386 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 9.386 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 9.386 * [taylor]: Taking taylor expansion of -1 in lambda1 9.386 * [backup-simplify]: Simplify -1 into -1 9.386 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 9.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 9.387 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.387 * [taylor]: Taking taylor expansion of R in lambda1 9.387 * [backup-simplify]: Simplify R into R 9.388 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 9.389 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 9.389 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 9.389 * [taylor]: Taking taylor expansion of -1 in lambda2 9.389 * [backup-simplify]: Simplify -1 into -1 9.389 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 9.389 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 9.390 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.390 * [taylor]: Taking taylor expansion of R in lambda2 9.390 * [backup-simplify]: Simplify R into R 9.390 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 9.391 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 9.391 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 9.391 * [taylor]: Taking taylor expansion of -1 in R 9.391 * [backup-simplify]: Simplify -1 into -1 9.391 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 9.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 9.392 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 9.392 * [taylor]: Taking taylor expansion of R in R 9.392 * [backup-simplify]: Simplify 0 into 0 9.392 * [backup-simplify]: Simplify 1 into 1 9.393 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 9.394 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 9.395 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 9.396 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 9.397 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 9.397 * [taylor]: Taking taylor expansion of 0 in phi2 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [taylor]: Taking taylor expansion of 0 in lambda1 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [taylor]: Taking taylor expansion of 0 in lambda2 9.398 * [backup-simplify]: Simplify 0 into 0 9.398 * [taylor]: Taking taylor expansion of 0 in R 9.398 * [backup-simplify]: Simplify 0 into 0 9.399 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 9.400 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 9.400 * [taylor]: Taking taylor expansion of 0 in lambda1 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [taylor]: Taking taylor expansion of 0 in lambda2 9.400 * [backup-simplify]: Simplify 0 into 0 9.400 * [taylor]: Taking taylor expansion of 0 in R 9.400 * [backup-simplify]: Simplify 0 into 0 9.401 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 9.403 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 9.403 * [taylor]: Taking taylor expansion of 0 in lambda2 9.403 * [backup-simplify]: Simplify 0 into 0 9.403 * [taylor]: Taking taylor expansion of 0 in R 9.403 * [backup-simplify]: Simplify 0 into 0 9.404 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 9.406 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 9.406 * [taylor]: Taking taylor expansion of 0 in R 9.406 * [backup-simplify]: Simplify 0 into 0 9.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 9.409 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 9.409 * [backup-simplify]: Simplify 0 into 0 9.410 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.413 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 9.413 * [taylor]: Taking taylor expansion of 0 in phi2 9.413 * [backup-simplify]: Simplify 0 into 0 9.414 * [taylor]: Taking taylor expansion of 0 in lambda1 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [taylor]: Taking taylor expansion of 0 in lambda2 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [taylor]: Taking taylor expansion of 0 in R 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [taylor]: Taking taylor expansion of 0 in lambda1 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [taylor]: Taking taylor expansion of 0 in lambda2 9.414 * [backup-simplify]: Simplify 0 into 0 9.414 * [taylor]: Taking taylor expansion of 0 in R 9.414 * [backup-simplify]: Simplify 0 into 0 9.415 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.417 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 9.417 * [taylor]: Taking taylor expansion of 0 in lambda1 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [taylor]: Taking taylor expansion of 0 in lambda2 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [taylor]: Taking taylor expansion of 0 in R 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [taylor]: Taking taylor expansion of 0 in lambda2 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [taylor]: Taking taylor expansion of 0 in R 9.417 * [backup-simplify]: Simplify 0 into 0 9.417 * [taylor]: Taking taylor expansion of 0 in lambda2 9.417 * [backup-simplify]: Simplify 0 into 0 9.418 * [taylor]: Taking taylor expansion of 0 in R 9.418 * [backup-simplify]: Simplify 0 into 0 9.419 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.420 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 9.420 * [taylor]: Taking taylor expansion of 0 in lambda2 9.420 * [backup-simplify]: Simplify 0 into 0 9.420 * [taylor]: Taking taylor expansion of 0 in R 9.420 * [backup-simplify]: Simplify 0 into 0 9.420 * [taylor]: Taking taylor expansion of 0 in R 9.420 * [backup-simplify]: Simplify 0 into 0 9.421 * [taylor]: Taking taylor expansion of 0 in R 9.421 * [backup-simplify]: Simplify 0 into 0 9.421 * [taylor]: Taking taylor expansion of 0 in R 9.421 * [backup-simplify]: Simplify 0 into 0 9.422 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 9.423 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 9.423 * [taylor]: Taking taylor expansion of 0 in R 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 0 into 0 9.424 * [backup-simplify]: Simplify 0 into 0 9.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.427 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 9.427 * [backup-simplify]: Simplify 0 into 0 9.428 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.428 * * * [progress]: simplifying candidates 9.428 * * * * [progress]: [ 1 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 2 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 3 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 4 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 5 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 6 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 7 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 8 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 9 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 10 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 11 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 12 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 13 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 14 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 15 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 16 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 17 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 18 / 96 ] simplifiying candidate #real (real->posit16 (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))))) R))> 9.429 * * * * [progress]: [ 19 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 20 / 96 ] simplifiying candidate # 9.429 * * * * [progress]: [ 21 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 22 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 23 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 24 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 25 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 26 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 27 / 96 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))))) R))> 9.430 * * * * [progress]: [ 28 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 29 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 30 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 31 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 32 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 33 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 34 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 35 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 36 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 37 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 38 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 39 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 40 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 41 / 96 ] simplifiying candidate # 9.430 * * * * [progress]: [ 42 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 43 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 44 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 45 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 46 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 47 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 48 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 49 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 50 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 51 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 52 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 53 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 54 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 55 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 56 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 57 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 58 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 59 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 60 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 61 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 62 / 96 ] simplifiying candidate # 9.431 * * * * [progress]: [ 63 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 64 / 96 ] simplifiying candidate #real (real->posit16 (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))) (* (sin lambda1) (sin lambda2)))))))) R))> 9.432 * * * * [progress]: [ 65 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 66 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 67 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 68 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 69 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 70 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 71 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 72 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 73 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 74 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 75 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 76 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 77 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 78 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 79 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 80 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 81 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 82 / 96 ] simplifiying candidate # 9.432 * * * * [progress]: [ 83 / 96 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) R))))> 9.433 * * * * [progress]: [ 84 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 85 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 86 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 87 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 88 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 89 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 90 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 91 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 92 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 93 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 94 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 95 / 96 ] simplifiying candidate # 9.433 * * * * [progress]: [ 96 / 96 ] simplifiying candidate # 9.434 * [simplify]: Simplifying (log (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))), (exp (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))), (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))), (cbrt (* (sin lambda1) (sin lambda2))), (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))), (cbrt (* (* 2 2) 2)), (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))), (cbrt (* 2 2)), (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))), (cbrt (* 2 2)), (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))))), (cbrt 2), (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (sin lambda1) (sin lambda2)))), (cbrt (* 2 2)), (cbrt (* (* (* (sin lambda1) (sin lambda2)) (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2)))) (* (sin lambda1) (sin lambda2)))), (cbrt 2), (cbrt (* (* (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))), (cbrt 2), (* (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))), (cbrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))), (* (* (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))), (sqrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))), (sqrt (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))), (real->posit16 (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))), (/ PI 2), (asin (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))), (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))), (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))), (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))))), (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))), (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))), (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))), (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))))))))), (+ 1 1), (+ 1 1), (+ 1 1), (+ 1 1), (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))), (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))), (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))), (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))), (+ 1 1), (+ 1 1), (+ (+ (log (sin lambda1)) (log (sin lambda2))) (+ (log (sin lambda1)) (log (sin lambda2)))), (+ (+ (log (sin lambda1)) (log (sin lambda2))) (log (* (sin lambda1) (sin lambda2)))), (+ (log (* (sin lambda1) (sin lambda2))) (+ (log (sin lambda1)) (log (sin lambda2)))), (+ (log (* (sin lambda1) (sin lambda2))) (log (* (sin lambda1) (sin lambda2)))), (log (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))), (exp (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))), (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))), (* (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))), (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2)))), (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2))) (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin lambda1) (sin lambda2)))), (* (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))))), (cbrt (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))), (* (* (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin lambda2)))) (* (* (sin lambda1) (sin lambda2)) (* (sin lambda1) (sin 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lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (cbrt R)) (cbrt R)), (* (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) (sqrt R)), (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))), (* R (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))), (* (sqrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) R), (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))), (real->posit16 (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))), (* lambda1 lambda2), (* (sin lambda2) (sin lambda1)), (* (sin lambda2) (sin lambda1)), (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))), (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))), (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))), (+ (* (* lambda1 lambda2) (* lambda1 lambda2)) (* (+ (* (* lambda1 lambda1) (* (* lambda1 lambda2) (* lambda1 lambda2))) (* (* lambda2 lambda2) (* (* lambda1 lambda2) (* lambda1 lambda2)))) -1/3)), (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))), (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))), (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))), (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))), (* R (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) 10.931 * * * [progress]: adding candidates to table 13.107 * * [progress]: iteration 4 / 4 13.107 * * * [progress]: picking best candidate 13.263 * * * * [pick]: Picked # 13.263 * * * [progress]: localizing error 13.325 * * * [progress]: generating rewritten candidates 13.325 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1) 13.329 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 13.343 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 13.348 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 13.375 * * * [progress]: generating series expansions 13.375 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1) 13.375 * [backup-simplify]: Simplify (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.375 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi2 lambda2 lambda1 phi1) around 0 13.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.375 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.375 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.376 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.376 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.376 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.376 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.377 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.377 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.377 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.377 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.378 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.378 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.378 * [taylor]: Taking taylor expansion of 0 in lambda2 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in lambda1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in phi1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in lambda1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in phi1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in phi1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in lambda2 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in lambda1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in phi1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in lambda1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [taylor]: Taking taylor expansion of 0 in phi1 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 0 into 0 13.379 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.379 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.379 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi2 lambda2 lambda1 phi1) around 0 13.379 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.380 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.380 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.380 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.380 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.381 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.381 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.381 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.382 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.382 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.382 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.383 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.383 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.383 * [taylor]: Taking taylor expansion of 0 in lambda2 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in lambda1 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in phi1 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in lambda1 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in phi1 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in phi1 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in lambda2 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in lambda1 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [taylor]: Taking taylor expansion of 0 in phi1 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [taylor]: Taking taylor expansion of 0 in lambda1 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [taylor]: Taking taylor expansion of 0 in phi1 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.385 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (- phi2))) (* (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (cos (/ 1 (- phi1))))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.385 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 lambda2 lambda1 phi1) around 0 13.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.385 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.385 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.385 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.386 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.386 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.387 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 13.387 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.387 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.388 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.388 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 13.388 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.389 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.389 * [taylor]: Taking taylor expansion of 0 in lambda2 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in lambda1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in phi1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in lambda1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in phi1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in phi1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in lambda2 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in lambda1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in phi1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in lambda1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [taylor]: Taking taylor expansion of 0 in phi1 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 0 into 0 13.390 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.390 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.391 * [backup-simplify]: Simplify (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.391 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in (phi2 lambda2 lambda1 phi1) around 0 13.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.391 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.391 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.391 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.392 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.392 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.393 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.393 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.393 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.393 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.394 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.394 * [taylor]: Taking taylor expansion of 0 in lambda2 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in lambda1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in phi1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in lambda1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in phi1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in phi1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in lambda2 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in lambda1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in phi1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in lambda1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [taylor]: Taking taylor expansion of 0 in phi1 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.395 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.395 * [backup-simplify]: Simplify (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.395 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in (phi2 lambda2 lambda1 phi1) around 0 13.395 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.396 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.396 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.396 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.397 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.397 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.397 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.397 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.398 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.398 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.398 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.399 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.399 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.399 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.400 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.400 * [taylor]: Taking taylor expansion of 0 in lambda2 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in lambda1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in phi1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in lambda1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in phi1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in phi1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in lambda2 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in lambda1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in phi1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in lambda1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [taylor]: Taking taylor expansion of 0 in phi1 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.401 * [backup-simplify]: Simplify (log (exp (acos (+ (* (cos (/ 1 (- phi2))) (* (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (cos (/ 1 (- phi1))))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.401 * [approximate]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in (phi2 lambda2 lambda1 phi1) around 0 13.401 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.402 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.402 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.402 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.403 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.403 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.404 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.404 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.405 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.405 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 13.406 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.406 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.406 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.407 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 13.407 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.408 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.408 * [taylor]: Taking taylor expansion of 0 in lambda2 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [taylor]: Taking taylor expansion of 0 in lambda1 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [taylor]: Taking taylor expansion of 0 in phi1 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in lambda1 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in phi1 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in phi1 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in lambda2 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in lambda1 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in phi1 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in lambda1 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [taylor]: Taking taylor expansion of 0 in phi1 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2)))))))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 13.410 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 13.411 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.411 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in (phi2 lambda2 lambda1 phi1) around 0 13.411 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1 13.411 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.411 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.412 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.412 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1 13.412 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.412 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.412 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.413 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2 13.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.413 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.413 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.413 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2 13.413 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.414 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.414 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.414 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi2 13.414 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.414 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.415 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.415 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda2 13.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.415 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.415 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.415 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in lambda1 13.415 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.416 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.416 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.416 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) in phi1 13.416 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.416 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.417 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.417 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.418 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.418 * [taylor]: Taking taylor expansion of 0 in lambda2 13.418 * [backup-simplify]: Simplify 0 into 0 13.418 * [taylor]: Taking taylor expansion of 0 in lambda1 13.418 * [backup-simplify]: Simplify 0 into 0 13.418 * [taylor]: Taking taylor expansion of 0 in phi1 13.418 * [backup-simplify]: Simplify 0 into 0 13.418 * [backup-simplify]: Simplify 0 into 0 13.419 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.419 * [taylor]: Taking taylor expansion of 0 in lambda1 13.419 * [backup-simplify]: Simplify 0 into 0 13.419 * [taylor]: Taking taylor expansion of 0 in phi1 13.419 * [backup-simplify]: Simplify 0 into 0 13.419 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.422 * [taylor]: Taking taylor expansion of 0 in phi1 13.422 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify 0 into 0 13.423 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.423 * [backup-simplify]: Simplify 0 into 0 13.424 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.424 * [taylor]: Taking taylor expansion of 0 in lambda2 13.424 * [backup-simplify]: Simplify 0 into 0 13.424 * [taylor]: Taking taylor expansion of 0 in lambda1 13.424 * [backup-simplify]: Simplify 0 into 0 13.424 * [taylor]: Taking taylor expansion of 0 in phi1 13.424 * [backup-simplify]: Simplify 0 into 0 13.424 * [backup-simplify]: Simplify 0 into 0 13.424 * [taylor]: Taking taylor expansion of 0 in lambda1 13.424 * [backup-simplify]: Simplify 0 into 0 13.425 * [taylor]: Taking taylor expansion of 0 in phi1 13.425 * [backup-simplify]: Simplify 0 into 0 13.425 * [backup-simplify]: Simplify 0 into 0 13.425 * [backup-simplify]: Simplify (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.425 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2)))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.425 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in (phi2 lambda2 lambda1 phi1) around 0 13.425 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 13.425 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.426 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.426 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.426 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 13.426 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.427 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.427 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.427 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 13.427 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.427 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.428 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.428 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 13.428 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.428 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.429 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.429 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi2 13.429 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.429 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.430 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.430 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda2 13.430 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.430 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.430 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.431 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in lambda1 13.431 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.431 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.431 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.431 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) in phi1 13.431 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.432 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.432 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.433 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) into (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 13.434 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.434 * [taylor]: Taking taylor expansion of 0 in lambda2 13.434 * [backup-simplify]: Simplify 0 into 0 13.434 * [taylor]: Taking taylor expansion of 0 in lambda1 13.434 * [backup-simplify]: Simplify 0 into 0 13.434 * [taylor]: Taking taylor expansion of 0 in phi1 13.434 * [backup-simplify]: Simplify 0 into 0 13.434 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.435 * [taylor]: Taking taylor expansion of 0 in lambda1 13.435 * [backup-simplify]: Simplify 0 into 0 13.435 * [taylor]: Taking taylor expansion of 0 in phi1 13.435 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify 0 into 0 13.436 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.436 * [taylor]: Taking taylor expansion of 0 in phi1 13.436 * [backup-simplify]: Simplify 0 into 0 13.436 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.438 * [taylor]: Taking taylor expansion of 0 in lambda2 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [taylor]: Taking taylor expansion of 0 in lambda1 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [taylor]: Taking taylor expansion of 0 in phi1 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [taylor]: Taking taylor expansion of 0 in lambda1 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [taylor]: Taking taylor expansion of 0 in phi1 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 0 into 0 13.439 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 13.439 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ 1 (- phi2))) (* (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (cos (/ 1 (- phi1))))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.439 * [approximate]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in (phi2 lambda2 lambda1 phi1) around 0 13.439 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 13.439 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.440 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.440 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.440 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 13.440 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.441 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.441 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.441 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 13.441 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.441 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.442 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.442 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 13.442 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.442 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.443 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.443 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi2 13.443 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.443 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.444 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.444 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda2 13.444 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.444 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.445 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.445 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in lambda1 13.445 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.445 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.445 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.445 * [taylor]: Taking taylor expansion of (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) in phi1 13.445 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.446 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.446 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.447 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 13.448 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.448 * [taylor]: Taking taylor expansion of 0 in lambda2 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [taylor]: Taking taylor expansion of 0 in lambda1 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [taylor]: Taking taylor expansion of 0 in phi1 13.448 * [backup-simplify]: Simplify 0 into 0 13.448 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.449 * [taylor]: Taking taylor expansion of 0 in lambda1 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [taylor]: Taking taylor expansion of 0 in phi1 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.450 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.450 * [taylor]: Taking taylor expansion of 0 in phi1 13.450 * [backup-simplify]: Simplify 0 into 0 13.450 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 13.451 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify (* (exp (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 13.453 * [taylor]: Taking taylor expansion of 0 in lambda2 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [taylor]: Taking taylor expansion of 0 in lambda1 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [taylor]: Taking taylor expansion of 0 in phi1 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [taylor]: Taking taylor expansion of 0 in lambda1 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [taylor]: Taking taylor expansion of 0 in phi1 13.453 * [backup-simplify]: Simplify 0 into 0 13.453 * [backup-simplify]: Simplify 0 into 0 13.454 * [backup-simplify]: Simplify (exp (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- lambda2)))) (cos (/ -1 (/ 1 (- phi2))))))))))) into (exp (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.454 * * * * [progress]: [ 4 / 4 ] generating series at (2) 13.455 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 13.455 * [approximate]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in (phi2 lambda2 lambda1 phi1 R) around 0 13.455 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 13.455 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 13.456 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.456 * [taylor]: Taking taylor expansion of R in R 13.456 * [backup-simplify]: Simplify 0 into 0 13.456 * [backup-simplify]: Simplify 1 into 1 13.456 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 13.456 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.456 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.456 * [taylor]: Taking taylor expansion of R in phi1 13.456 * [backup-simplify]: Simplify R into R 13.456 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 13.457 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.457 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.457 * [taylor]: Taking taylor expansion of R in lambda1 13.457 * [backup-simplify]: Simplify R into R 13.457 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 13.457 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.458 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.458 * [taylor]: Taking taylor expansion of R in lambda2 13.458 * [backup-simplify]: Simplify R into R 13.458 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 13.458 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.459 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.459 * [taylor]: Taking taylor expansion of R in phi2 13.459 * [backup-simplify]: Simplify R into R 13.459 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi2 13.459 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi2 13.459 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.459 * [taylor]: Taking taylor expansion of R in phi2 13.459 * [backup-simplify]: Simplify R into R 13.460 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 13.460 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda2 13.460 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda2 13.461 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.461 * [taylor]: Taking taylor expansion of R in lambda2 13.461 * [backup-simplify]: Simplify R into R 13.461 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 13.461 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in lambda1 13.461 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in lambda1 13.462 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.462 * [taylor]: Taking taylor expansion of R in lambda1 13.462 * [backup-simplify]: Simplify R into R 13.463 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 13.463 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in phi1 13.463 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in phi1 13.464 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.464 * [taylor]: Taking taylor expansion of R in phi1 13.464 * [backup-simplify]: Simplify R into R 13.464 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 13.464 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) in R 13.465 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) in R 13.465 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.465 * [taylor]: Taking taylor expansion of R in R 13.465 * [backup-simplify]: Simplify 0 into 0 13.465 * [backup-simplify]: Simplify 1 into 1 13.466 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) into 0 13.466 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 13.467 * [taylor]: Taking taylor expansion of 0 in lambda2 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [taylor]: Taking taylor expansion of 0 in lambda1 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [taylor]: Taking taylor expansion of 0 in phi1 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [taylor]: Taking taylor expansion of 0 in R 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 13.467 * [taylor]: Taking taylor expansion of 0 in lambda1 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [taylor]: Taking taylor expansion of 0 in phi1 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [taylor]: Taking taylor expansion of 0 in R 13.467 * [backup-simplify]: Simplify 0 into 0 13.467 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 13.468 * [taylor]: Taking taylor expansion of 0 in phi1 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [taylor]: Taking taylor expansion of 0 in R 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (* 0 R)) into 0 13.468 * [taylor]: Taking taylor expansion of 0 in R 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify 0 into 0 13.469 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 1) (* 0 0)) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.469 * [backup-simplify]: Simplify (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) into (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 13.470 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 13.470 * [taylor]: Taking taylor expansion of 0 in lambda2 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [taylor]: Taking taylor expansion of 0 in lambda1 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [taylor]: Taking taylor expansion of 0 in phi1 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [taylor]: Taking taylor expansion of 0 in R 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [taylor]: Taking taylor expansion of 0 in lambda1 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [taylor]: Taking taylor expansion of 0 in phi1 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [taylor]: Taking taylor expansion of 0 in R 13.470 * [backup-simplify]: Simplify 0 into 0 13.470 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 13.471 * [taylor]: Taking taylor expansion of 0 in lambda1 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [taylor]: Taking taylor expansion of 0 in phi1 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [taylor]: Taking taylor expansion of 0 in R 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [taylor]: Taking taylor expansion of 0 in phi1 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [taylor]: Taking taylor expansion of 0 in R 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [taylor]: Taking taylor expansion of 0 in phi1 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [taylor]: Taking taylor expansion of 0 in R 13.471 * [backup-simplify]: Simplify 0 into 0 13.471 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 0) (+ (* 0 0) (* 0 R))) into 0 13.472 * [taylor]: Taking taylor expansion of 0 in phi1 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [taylor]: Taking taylor expansion of 0 in R 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify 0 into 0 13.472 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) (* R (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 13.473 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (cos (/ 1 phi2)) (* (+ (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) (* (cos (/ 1 lambda2)) (cos (/ 1 lambda1)))) (cos (/ 1 phi1)))) (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))))) (/ 1 R)) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.473 * [approximate]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in (phi2 lambda2 lambda1 phi1 R) around 0 13.473 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 13.473 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 13.473 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.473 * [taylor]: Taking taylor expansion of R in R 13.473 * [backup-simplify]: Simplify 0 into 0 13.473 * [backup-simplify]: Simplify 1 into 1 13.474 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.474 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 13.474 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.474 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.474 * [taylor]: Taking taylor expansion of R in phi1 13.474 * [backup-simplify]: Simplify R into R 13.475 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.475 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 13.475 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.475 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.475 * [taylor]: Taking taylor expansion of R in lambda1 13.475 * [backup-simplify]: Simplify R into R 13.476 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.476 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 13.476 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.476 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.476 * [taylor]: Taking taylor expansion of R in lambda2 13.476 * [backup-simplify]: Simplify R into R 13.477 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.477 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 13.477 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.477 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.477 * [taylor]: Taking taylor expansion of R in phi2 13.477 * [backup-simplify]: Simplify R into R 13.478 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.478 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi2 13.478 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi2 13.478 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.478 * [taylor]: Taking taylor expansion of R in phi2 13.478 * [backup-simplify]: Simplify R into R 13.478 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.479 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda2 13.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda2 13.479 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.479 * [taylor]: Taking taylor expansion of R in lambda2 13.479 * [backup-simplify]: Simplify R into R 13.479 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.479 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in lambda1 13.479 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in lambda1 13.480 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.480 * [taylor]: Taking taylor expansion of R in lambda1 13.480 * [backup-simplify]: Simplify R into R 13.480 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.481 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in phi1 13.481 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in phi1 13.481 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.481 * [taylor]: Taking taylor expansion of R in phi1 13.481 * [backup-simplify]: Simplify R into R 13.482 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) into (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) 13.482 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) in R 13.482 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) in R 13.482 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.482 * [taylor]: Taking taylor expansion of R in R 13.482 * [backup-simplify]: Simplify 0 into 0 13.482 * [backup-simplify]: Simplify 1 into 1 13.483 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 1) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.483 * [backup-simplify]: Simplify (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) into (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 13.484 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 13.484 * [taylor]: Taking taylor expansion of 0 in lambda2 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [taylor]: Taking taylor expansion of 0 in lambda1 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [taylor]: Taking taylor expansion of 0 in phi1 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [taylor]: Taking taylor expansion of 0 in R 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 13.484 * [taylor]: Taking taylor expansion of 0 in lambda1 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [taylor]: Taking taylor expansion of 0 in phi1 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [taylor]: Taking taylor expansion of 0 in R 13.484 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 13.485 * [taylor]: Taking taylor expansion of 0 in phi1 13.485 * [backup-simplify]: Simplify 0 into 0 13.485 * [taylor]: Taking taylor expansion of 0 in R 13.485 * [backup-simplify]: Simplify 0 into 0 13.485 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)))) into 0 13.485 * [taylor]: Taking taylor expansion of 0 in R 13.486 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)))) into 0 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.487 * [taylor]: Taking taylor expansion of 0 in lambda2 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [taylor]: Taking taylor expansion of 0 in lambda1 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [taylor]: Taking taylor expansion of 0 in phi1 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [taylor]: Taking taylor expansion of 0 in R 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [taylor]: Taking taylor expansion of 0 in lambda1 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [taylor]: Taking taylor expansion of 0 in phi1 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [taylor]: Taking taylor expansion of 0 in R 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.488 * [taylor]: Taking taylor expansion of 0 in lambda1 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [taylor]: Taking taylor expansion of 0 in phi1 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [taylor]: Taking taylor expansion of 0 in R 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [taylor]: Taking taylor expansion of 0 in phi1 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [taylor]: Taking taylor expansion of 0 in R 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [taylor]: Taking taylor expansion of 0 in phi1 13.488 * [backup-simplify]: Simplify 0 into 0 13.488 * [taylor]: Taking taylor expansion of 0 in R 13.488 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.489 * [taylor]: Taking taylor expansion of 0 in phi1 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [taylor]: Taking taylor expansion of 0 in R 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [taylor]: Taking taylor expansion of 0 in R 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [taylor]: Taking taylor expansion of 0 in R 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [taylor]: Taking taylor expansion of 0 in R 13.489 * [backup-simplify]: Simplify 0 into 0 13.490 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.490 * [taylor]: Taking taylor expansion of 0 in R 13.490 * [backup-simplify]: Simplify 0 into 0 13.490 * [backup-simplify]: Simplify 0 into 0 13.490 * [backup-simplify]: Simplify 0 into 0 13.490 * [backup-simplify]: Simplify 0 into 0 13.490 * [backup-simplify]: Simplify 0 into 0 13.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.491 * [backup-simplify]: Simplify 0 into 0 13.492 * [backup-simplify]: Simplify (* (acos (+ (* (cos (/ 1 (/ 1 phi2))) (* (sin (/ 1 (/ 1 lambda2))) (* (sin (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1)))))) (+ (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) (* (cos (/ 1 (/ 1 phi2))) (* (cos (/ 1 (/ 1 lambda2))) (* (cos (/ 1 (/ 1 lambda1))) (cos (/ 1 (/ 1 phi1))))))))) (* (/ 1 (/ 1 R)) (* 1 (* 1 (* 1 1))))) into (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 13.493 * [backup-simplify]: Simplify (* (log (exp (acos (+ (* (cos (/ 1 (- phi2))) (* (+ (* (sin (/ 1 (- lambda2))) (sin (/ 1 (- lambda1)))) (* (cos (/ 1 (- lambda2))) (cos (/ 1 (- lambda1))))) (cos (/ 1 (- phi1))))) (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))))) (/ 1 (- R))) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 13.493 * [approximate]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in (phi2 lambda2 lambda1 phi1 R) around 0 13.493 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 13.493 * [taylor]: Taking taylor expansion of -1 in R 13.493 * [backup-simplify]: Simplify -1 into -1 13.493 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 13.493 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 13.493 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.493 * [taylor]: Taking taylor expansion of R in R 13.493 * [backup-simplify]: Simplify 0 into 0 13.493 * [backup-simplify]: Simplify 1 into 1 13.494 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.494 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi1 13.494 * [taylor]: Taking taylor expansion of -1 in phi1 13.494 * [backup-simplify]: Simplify -1 into -1 13.494 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi1 13.494 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi1 13.494 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.494 * [taylor]: Taking taylor expansion of R in phi1 13.494 * [backup-simplify]: Simplify R into R 13.495 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 13.495 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 13.495 * [taylor]: Taking taylor expansion of -1 in lambda1 13.495 * [backup-simplify]: Simplify -1 into -1 13.495 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 13.495 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.495 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.495 * [taylor]: Taking taylor expansion of R in lambda1 13.495 * [backup-simplify]: Simplify R into R 13.496 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 13.496 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda2 13.496 * [taylor]: Taking taylor expansion of -1 in lambda2 13.496 * [backup-simplify]: Simplify -1 into -1 13.496 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda2 13.496 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda2 13.496 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.496 * [taylor]: Taking taylor expansion of R in lambda2 13.496 * [backup-simplify]: Simplify R into R 13.497 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 13.497 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 13.497 * [taylor]: Taking taylor expansion of -1 in phi2 13.497 * [backup-simplify]: Simplify -1 into -1 13.497 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 13.497 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.497 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.497 * [taylor]: Taking taylor expansion of R in phi2 13.497 * [backup-simplify]: Simplify R into R 13.497 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 13.498 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in phi2 13.498 * [taylor]: Taking taylor expansion of -1 in phi2 13.498 * [backup-simplify]: Simplify -1 into -1 13.498 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in phi2 13.498 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in phi2 13.498 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.498 * [taylor]: Taking taylor expansion of R in phi2 13.498 * [backup-simplify]: Simplify R into R 13.498 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 13.499 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 13.499 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in lambda2 13.499 * [taylor]: Taking taylor expansion of -1 in lambda2 13.499 * [backup-simplify]: Simplify -1 into -1 13.499 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in lambda2 13.499 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in lambda2 13.500 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.500 * [taylor]: Taking taylor expansion of R in lambda2 13.500 * [backup-simplify]: Simplify R into R 13.501 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 13.503 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 13.503 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 13.504 * [taylor]: Taking taylor expansion of -1 in lambda1 13.504 * [backup-simplify]: Simplify -1 into -1 13.504 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 13.504 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 13.504 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.505 * [taylor]: Taking taylor expansion of R in lambda1 13.505 * [backup-simplify]: Simplify R into R 13.505 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) 13.506 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) 13.506 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) in phi1 13.506 * [taylor]: Taking taylor expansion of -1 in phi1 13.507 * [backup-simplify]: Simplify -1 into -1 13.507 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) in phi1 13.507 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) in phi1 13.507 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.507 * [taylor]: Taking taylor expansion of R in phi1 13.508 * [backup-simplify]: Simplify R into R 13.508 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) into (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) 13.509 * [backup-simplify]: Simplify (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)) into (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) 13.509 * [taylor]: Taking taylor expansion of (* -1 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)) in R 13.509 * [taylor]: Taking taylor expansion of -1 in R 13.509 * [backup-simplify]: Simplify -1 into -1 13.509 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) in R 13.509 * [taylor]: Taking taylor expansion of (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) in R 13.510 * [backup-simplify]: Simplify (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 13.510 * [taylor]: Taking taylor expansion of R in R 13.510 * [backup-simplify]: Simplify 0 into 0 13.510 * [backup-simplify]: Simplify 1 into 1 13.511 * [backup-simplify]: Simplify (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 1) into (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) 13.512 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 13.513 * [backup-simplify]: Simplify (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) into (* -1 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 13.514 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 13.516 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 13.516 * [taylor]: Taking taylor expansion of 0 in lambda2 13.516 * [backup-simplify]: Simplify 0 into 0 13.516 * [taylor]: Taking taylor expansion of 0 in lambda1 13.516 * [backup-simplify]: Simplify 0 into 0 13.516 * [taylor]: Taking taylor expansion of 0 in phi1 13.516 * [backup-simplify]: Simplify 0 into 0 13.516 * [taylor]: Taking taylor expansion of 0 in R 13.516 * [backup-simplify]: Simplify 0 into 0 13.517 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 13.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 13.519 * [taylor]: Taking taylor expansion of 0 in lambda1 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [taylor]: Taking taylor expansion of 0 in phi1 13.519 * [backup-simplify]: Simplify 0 into 0 13.519 * [taylor]: Taking taylor expansion of 0 in R 13.519 * [backup-simplify]: Simplify 0 into 0 13.520 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 13.522 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R))) into 0 13.522 * [taylor]: Taking taylor expansion of 0 in phi1 13.522 * [backup-simplify]: Simplify 0 into 0 13.522 * [taylor]: Taking taylor expansion of 0 in R 13.522 * [backup-simplify]: Simplify 0 into 0 13.523 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)))) into 0 13.525 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R))) into 0 13.525 * [taylor]: Taking taylor expansion of 0 in R 13.525 * [backup-simplify]: Simplify 0 into 0 13.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)))) into 0 13.528 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))))) into 0 13.528 * [backup-simplify]: Simplify 0 into 0 13.530 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.531 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 13.532 * [taylor]: Taking taylor expansion of 0 in lambda2 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [taylor]: Taking taylor expansion of 0 in lambda1 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [taylor]: Taking taylor expansion of 0 in phi1 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [taylor]: Taking taylor expansion of 0 in R 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [taylor]: Taking taylor expansion of 0 in lambda1 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [taylor]: Taking taylor expansion of 0 in phi1 13.532 * [backup-simplify]: Simplify 0 into 0 13.532 * [taylor]: Taking taylor expansion of 0 in R 13.532 * [backup-simplify]: Simplify 0 into 0 13.533 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.535 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 13.535 * [taylor]: Taking taylor expansion of 0 in lambda1 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [taylor]: Taking taylor expansion of 0 in phi1 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [taylor]: Taking taylor expansion of 0 in R 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [taylor]: Taking taylor expansion of 0 in phi1 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [taylor]: Taking taylor expansion of 0 in R 13.535 * [backup-simplify]: Simplify 0 into 0 13.535 * [taylor]: Taking taylor expansion of 0 in phi1 13.535 * [backup-simplify]: Simplify 0 into 0 13.536 * [taylor]: Taking taylor expansion of 0 in R 13.536 * [backup-simplify]: Simplify 0 into 0 13.537 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.538 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) R)))) into 0 13.539 * [taylor]: Taking taylor expansion of 0 in phi1 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [taylor]: Taking taylor expansion of 0 in R 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [taylor]: Taking taylor expansion of 0 in R 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [taylor]: Taking taylor expansion of 0 in R 13.539 * [backup-simplify]: Simplify 0 into 0 13.539 * [taylor]: Taking taylor expansion of 0 in R 13.539 * [backup-simplify]: Simplify 0 into 0 13.540 * [backup-simplify]: Simplify (- (/ 0 R) (+ (* (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R) (/ 0 R)) (* 0 (/ 0 R)))) into 0 13.542 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) R)))) into 0 13.542 * [taylor]: Taking taylor expansion of 0 in R 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.542 * [backup-simplify]: Simplify 0 into 0 13.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2)))))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.546 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))))) into 0 13.546 * [backup-simplify]: Simplify 0 into 0 13.548 * [backup-simplify]: Simplify (* (* -1 (acos (+ (* (cos (/ -1 (/ 1 (- phi1)))) (* (sin (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (sin (/ -1 (/ 1 (- lambda2))))))) (+ (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- lambda1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (/ -1 (/ 1 (- lambda2))))))))))) (* (/ 1 (/ 1 (- R))) (* 1 (* 1 (* 1 1))))) into (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 13.548 * * * [progress]: simplifying candidates 13.548 * * * * [progress]: [ 1 / 74 ] simplifiying candidate # 13.548 * * * * [progress]: [ 2 / 74 ] simplifiying candidate # 13.548 * * * * [progress]: [ 3 / 74 ] simplifiying candidate # 13.548 * * * * [progress]: [ 4 / 74 ] simplifiying candidate # 13.548 * * * * [progress]: [ 5 / 74 ] simplifiying candidate # 13.548 * * * * [progress]: [ 6 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 7 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 8 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 9 / 74 ] simplifiying candidate #real (real->posit16 (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))))) R))> 13.549 * * * * [progress]: [ 10 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 11 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 12 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 13 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 14 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 15 / 74 ] simplifiying candidate # 13.549 * * * * [progress]: [ 16 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 17 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 18 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 19 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 20 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 21 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 22 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 23 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 24 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 25 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 26 / 74 ] simplifiying candidate #real (real->posit16 (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))))) R))> 13.550 * * * * [progress]: [ 27 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 28 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 29 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 30 / 74 ] simplifiying candidate # 13.550 * * * * [progress]: [ 31 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 32 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 33 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 34 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 35 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 36 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 37 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 38 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 39 / 74 ] simplifiying candidate #real (real->posit16 (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))))) R))> 13.551 * * * * [progress]: [ 40 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 41 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 42 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 43 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 44 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 45 / 74 ] simplifiying candidate # 13.551 * * * * [progress]: [ 46 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 47 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 48 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 49 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 50 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 51 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 52 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 53 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 54 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 55 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 56 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 57 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 58 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 59 / 74 ] simplifiying candidate # 13.552 * * * * [progress]: [ 60 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 61 / 74 ] simplifiying candidate #real (real->posit16 (* (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))) R))))> 13.553 * * * * [progress]: [ 62 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 63 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 64 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 65 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 66 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 67 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 68 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 69 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 70 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 71 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 72 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 73 / 74 ] simplifiying candidate # 13.553 * * * * [progress]: [ 74 / 74 ] simplifiying candidate # 13.555 * [simplify]: Simplifying (/ PI 2), (asin (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))), (log (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))), (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))), (* (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))) (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))), (cbrt (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))), (* (* (acos (+ 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(exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))))), (log (cbrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))))), (log (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))))), (log (sqrt (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2))))))), (log 1), (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))), (log (exp (/ PI 2))), (log (exp (asin (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (cos phi1))) (* (sin phi1) (sin phi2)))))), (log (exp (acos (+ (* (cos phi2) (* (+ (* (sin lambda2) (sin 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lambda2)))) (* (sin phi1) (sin phi2)))))) 13.559 * * [simplify]: iteration 1: (108 enodes) 13.601 * * [simplify]: iteration 2: (361 enodes) 13.693 * * [simplify]: iteration 3: (585 enodes) 13.887 * * [simplify]: iteration 4: (897 enodes) 14.121 * * [simplify]: iteration 5: (1052 enodes) 14.437 * * [simplify]: iteration 6: (1395 enodes) 14.964 * * [simplify]: Extracting #0: cost 41 inf + 0 14.965 * * [simplify]: Extracting #1: cost 233 inf + 4 14.967 * * [simplify]: Extracting #2: cost 500 inf + 1008 14.969 * * [simplify]: Extracting #3: cost 550 inf + 2075 14.972 * * [simplify]: Extracting #4: cost 555 inf + 6642 14.975 * * [simplify]: Extracting #5: cost 511 inf + 14852 14.988 * * [simplify]: Extracting #6: cost 437 inf + 60435 15.054 * * [simplify]: Extracting #7: cost 185 inf + 337853 15.206 * * [simplify]: Extracting #8: cost 7 inf + 546079 15.370 * * [simplify]: Extracting #9: cost 0 inf + 554910 15.488 * [simplify]: Simplified to (/ PI 2), (asin (+ (* (sin phi1) (sin phi2)) (* (* 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lambda2) (sin lambda1))))))), (exp (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))), (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))), (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))), (* R (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) 15.498 * * * [progress]: adding candidates to table 17.021 * [progress]: [Phase 3 of 3] Extracting. 17.021 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #) 17.038 * * * [regime-changes]: Trying 5 branch expressions: (R lambda2 lambda1 phi2 phi1) 17.039 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #) 17.282 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #) 17.601 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #) 17.887 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #) 18.119 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # # # # # # # #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #) 18.413 * * * [regime]: Found split indices: #