0.004 * [progress]: [Phase 1 of 3] Setting up. 0.005 * * * [progress]: [1/2] Preparing points 0.821 * * * [progress]: [2/2] Setting up program. 0.870 * [progress]: [Phase 2 of 3] Improving. 0.871 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.873 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.874 * * [simplify]: iters left: 6 (17 enodes) 0.893 * * [simplify]: iters left: 5 (61 enodes) 0.912 * * [simplify]: iters left: 4 (76 enodes) 0.932 * * [simplify]: iters left: 3 (82 enodes) 0.953 * * [simplify]: Extracting #0: cost 1 inf + 0 0.953 * * [simplify]: Extracting #1: cost 4 inf + 0 0.954 * * [simplify]: Extracting #2: cost 5 inf + 1 0.954 * * [simplify]: Extracting #3: cost 14 inf + 1 0.954 * * [simplify]: Extracting #4: cost 27 inf + 1 0.954 * * [simplify]: Extracting #5: cost 27 inf + 247 0.954 * * [simplify]: Extracting #6: cost 19 inf + 979 0.955 * * [simplify]: Extracting #7: cost 11 inf + 2455 0.957 * * [simplify]: Extracting #8: cost 1 inf + 5637 0.959 * * [simplify]: Extracting #9: cost 0 inf + 6247 0.960 * [simplify]: Simplified to (* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) 0.961 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))) 0.986 * * [progress]: iteration 1 / 4 0.986 * * * [progress]: picking best candidate 1.018 * * * * [pick]: Picked # 1.018 * * * [progress]: localizing error 1.103 * * * [progress]: generating rewritten candidates 1.104 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.125 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.129 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.141 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.176 * * * [progress]: generating series expansions 1.176 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.181 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.181 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.182 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.183 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.183 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.183 * [backup-simplify]: Simplify lambda1 into lambda1 1.183 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.183 * [backup-simplify]: Simplify 0 into 0 1.183 * [backup-simplify]: Simplify 1 into 1 1.184 * [backup-simplify]: Simplify (- 0) into 0 1.184 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.184 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.184 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.184 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.184 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.184 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.184 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify 1 into 1 1.184 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.184 * [backup-simplify]: Simplify lambda2 into lambda2 1.184 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.185 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.185 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.185 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.185 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.185 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.185 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 1 into 1 1.185 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.185 * [backup-simplify]: Simplify lambda2 into lambda2 1.185 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.185 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.185 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.185 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.188 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.188 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.189 * [backup-simplify]: Simplify (- 0) into 0 1.189 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.189 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.189 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.189 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (- 0) into 0 1.189 * [backup-simplify]: Simplify (- 1) into -1 1.189 * [backup-simplify]: Simplify 1 into 1 1.190 * [backup-simplify]: Simplify (+ 0) into 0 1.190 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.191 * [backup-simplify]: Simplify (- 0) into 0 1.191 * [backup-simplify]: Simplify (+ 1 0) into 1 1.192 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.192 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.192 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.192 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.192 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.192 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.192 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.192 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.192 * [backup-simplify]: Simplify 0 into 0 1.192 * [backup-simplify]: Simplify 1 into 1 1.192 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify (- 1) into -1 1.193 * [backup-simplify]: Simplify (- 0) into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify (+ 0) into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.195 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.195 * [backup-simplify]: Simplify (- 0) into 0 1.195 * [backup-simplify]: Simplify (+ 0 0) into 0 1.196 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.196 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.196 * [backup-simplify]: Simplify (- 0) into 0 1.196 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.196 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.196 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.196 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.196 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.196 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.196 * [backup-simplify]: Simplify 0 into 0 1.196 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (- 0) into 0 1.197 * [backup-simplify]: Simplify (- 1) into -1 1.197 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.198 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.198 * [backup-simplify]: Simplify -1/2 into -1/2 1.198 * [backup-simplify]: Simplify (- 1) into -1 1.198 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.199 * [backup-simplify]: Simplify (- -1) into 1 1.199 * [backup-simplify]: Simplify 1 into 1 1.199 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.199 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.199 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.199 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.199 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.199 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.199 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.199 * [backup-simplify]: Simplify lambda1 into lambda1 1.200 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.200 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.200 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.200 * [backup-simplify]: Simplify 0 into 0 1.200 * [backup-simplify]: Simplify 1 into 1 1.200 * [backup-simplify]: Simplify (/ 1 1) into 1 1.200 * [backup-simplify]: Simplify (- 1) into -1 1.201 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.201 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.201 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.201 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.201 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.201 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.201 * [backup-simplify]: Simplify 0 into 0 1.201 * [backup-simplify]: Simplify 1 into 1 1.201 * [backup-simplify]: Simplify (/ 1 1) into 1 1.201 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.201 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.201 * [backup-simplify]: Simplify lambda2 into lambda2 1.201 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.201 * [backup-simplify]: Simplify (+ 1 0) into 1 1.201 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.201 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.201 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.201 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.201 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.201 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.202 * [backup-simplify]: Simplify (/ 1 1) into 1 1.202 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.202 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.202 * [backup-simplify]: Simplify lambda2 into lambda2 1.202 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.202 * [backup-simplify]: Simplify (+ 1 0) into 1 1.202 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.202 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.202 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.202 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.202 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.202 * [backup-simplify]: Simplify lambda1 into lambda1 1.202 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.202 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.202 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.202 * [backup-simplify]: Simplify 0 into 0 1.202 * [backup-simplify]: Simplify 1 into 1 1.203 * [backup-simplify]: Simplify (/ 1 1) into 1 1.203 * [backup-simplify]: Simplify (- 1) into -1 1.203 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.203 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.203 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.203 * [taylor]: Taking taylor expansion of 0 in lambda2 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 0 into 0 1.203 * [backup-simplify]: Simplify 0 into 0 1.204 * [taylor]: Taking taylor expansion of 0 in lambda2 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [taylor]: Taking taylor expansion of 0 in lambda2 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.204 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.204 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.204 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.204 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.204 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.204 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.204 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify 1 into 1 1.204 * [backup-simplify]: Simplify (/ 1 1) into 1 1.204 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.204 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.204 * [backup-simplify]: Simplify lambda1 into lambda1 1.204 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.205 * [backup-simplify]: Simplify (+ 1 0) into 1 1.205 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.205 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.205 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.205 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.205 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.205 * [backup-simplify]: Simplify lambda2 into lambda2 1.205 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.205 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.205 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (/ 1 1) into 1 1.205 * [backup-simplify]: Simplify (- 1) into -1 1.206 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.206 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.206 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.206 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.206 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.206 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.206 * [backup-simplify]: Simplify lambda2 into lambda2 1.206 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.206 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.206 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.206 * [backup-simplify]: Simplify 0 into 0 1.206 * [backup-simplify]: Simplify 1 into 1 1.206 * [backup-simplify]: Simplify (/ 1 1) into 1 1.206 * [backup-simplify]: Simplify (- 1) into -1 1.207 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.207 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.207 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.207 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.207 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.207 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.207 * [backup-simplify]: Simplify 0 into 0 1.207 * [backup-simplify]: Simplify 1 into 1 1.207 * [backup-simplify]: Simplify (/ 1 1) into 1 1.207 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.207 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.207 * [backup-simplify]: Simplify lambda1 into lambda1 1.207 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.208 * [backup-simplify]: Simplify (+ 1 0) into 1 1.208 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.208 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.208 * [taylor]: Taking taylor expansion of 0 in lambda2 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [taylor]: Taking taylor expansion of 0 in lambda2 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [taylor]: Taking taylor expansion of 0 in lambda2 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify 0 into 0 1.208 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.208 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.208 * [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)))) 1.208 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.208 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.210 * [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)))) 1.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.210 * [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)))) 1.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.210 * [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)))) 1.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.210 * [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)))) 1.210 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.210 * [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)))) 1.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.211 * [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)))) 1.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.211 * [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)))) 1.211 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.211 * [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)))) 1.211 * [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)))) 1.211 * [taylor]: Taking taylor expansion of 0 in phi2 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [taylor]: Taking taylor expansion of 0 in lambda1 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [taylor]: Taking taylor expansion of 0 in lambda2 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [backup-simplify]: Simplify 0 into 0 1.211 * [taylor]: Taking taylor expansion of 0 in lambda1 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [taylor]: Taking taylor expansion of 0 in phi2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [taylor]: Taking taylor expansion of 0 in lambda1 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [taylor]: Taking taylor expansion of 0 in lambda1 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [taylor]: Taking taylor expansion of 0 in lambda2 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [backup-simplify]: Simplify 0 into 0 1.212 * [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)))) 1.213 * [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)))))) 1.213 * [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 1.213 * [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 1.213 * [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)))))) 1.213 * [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 1.213 * [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)))))) 1.213 * [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 1.213 * [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)))))) 1.213 * [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 1.214 * [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)))))) 1.214 * [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 1.214 * [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)))))) 1.214 * [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 1.214 * [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)))))) 1.214 * [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 1.215 * [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)))))) 1.215 * [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 1.215 * [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)))))) 1.215 * [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)))))) 1.215 * [taylor]: Taking taylor expansion of 0 in phi2 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in lambda1 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in lambda2 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in lambda1 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in lambda2 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify 0 into 0 1.215 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [taylor]: Taking taylor expansion of 0 in phi2 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [taylor]: Taking taylor expansion of 0 in lambda1 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [taylor]: Taking taylor expansion of 0 in lambda2 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [backup-simplify]: Simplify 0 into 0 1.216 * [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)))) 1.216 * [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))))))) 1.216 * [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 1.216 * [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 1.217 * [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))))))) 1.217 * [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 1.217 * [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))))))) 1.217 * [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 1.217 * [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))))))) 1.217 * [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 1.217 * [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))))))) 1.217 * [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 1.218 * [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))))))) 1.218 * [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 1.218 * [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))))))) 1.218 * [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 1.218 * [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))))))) 1.218 * [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 1.219 * [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))))))) 1.219 * [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))))))) 1.219 * [taylor]: Taking taylor expansion of 0 in phi2 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda1 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda2 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda1 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda2 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda2 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in phi2 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda1 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda2 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [backup-simplify]: Simplify 0 into 0 1.219 * [taylor]: Taking taylor expansion of 0 in lambda1 1.219 * [backup-simplify]: Simplify 0 into 0 1.220 * [taylor]: Taking taylor expansion of 0 in lambda2 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [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)))) 1.220 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.220 * [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) 1.220 * [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 1.220 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.220 * [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)))) 1.220 * [taylor]: Taking taylor expansion of R in R 1.220 * [backup-simplify]: Simplify 0 into 0 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.220 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.221 * [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)))) 1.221 * [taylor]: Taking taylor expansion of R in lambda2 1.221 * [backup-simplify]: Simplify R into R 1.221 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.221 * [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)))) 1.221 * [taylor]: Taking taylor expansion of R in lambda1 1.221 * [backup-simplify]: Simplify R into R 1.221 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.221 * [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)))) 1.221 * [taylor]: Taking taylor expansion of R in phi2 1.221 * [backup-simplify]: Simplify R into R 1.221 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.221 * [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)))) 1.221 * [taylor]: Taking taylor expansion of R in phi1 1.221 * [backup-simplify]: Simplify R into R 1.221 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.221 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.221 * [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)))) 1.221 * [taylor]: Taking taylor expansion of R in phi1 1.221 * [backup-simplify]: Simplify R into R 1.222 * [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) 1.222 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.222 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.222 * [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)))) 1.222 * [taylor]: Taking taylor expansion of R in phi2 1.222 * [backup-simplify]: Simplify R into R 1.222 * [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) 1.222 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.222 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.222 * [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)))) 1.222 * [taylor]: Taking taylor expansion of R in lambda1 1.222 * [backup-simplify]: Simplify R into R 1.222 * [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) 1.223 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.223 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.223 * [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)))) 1.223 * [taylor]: Taking taylor expansion of R in lambda2 1.223 * [backup-simplify]: Simplify R into R 1.223 * [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) 1.223 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.223 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.223 * [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)))) 1.223 * [taylor]: Taking taylor expansion of R in R 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.223 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.224 * [taylor]: Taking taylor expansion of 0 in phi2 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [taylor]: Taking taylor expansion of 0 in lambda1 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [taylor]: Taking taylor expansion of 0 in lambda2 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [taylor]: Taking taylor expansion of 0 in R 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.224 * [taylor]: Taking taylor expansion of 0 in lambda1 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [taylor]: Taking taylor expansion of 0 in lambda2 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [taylor]: Taking taylor expansion of 0 in R 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.224 * [taylor]: Taking taylor expansion of 0 in lambda2 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [taylor]: Taking taylor expansion of 0 in R 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify 0 into 0 1.224 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.224 * [taylor]: Taking taylor expansion of 0 in R 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [backup-simplify]: Simplify 0 into 0 1.225 * [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)))) 1.225 * [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)))) 1.226 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.226 * [taylor]: Taking taylor expansion of 0 in phi2 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [taylor]: Taking taylor expansion of 0 in lambda1 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [taylor]: Taking taylor expansion of 0 in lambda2 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [taylor]: Taking taylor expansion of 0 in R 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [taylor]: Taking taylor expansion of 0 in lambda1 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [taylor]: Taking taylor expansion of 0 in lambda2 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [taylor]: Taking taylor expansion of 0 in R 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.227 * [taylor]: Taking taylor expansion of 0 in lambda1 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [taylor]: Taking taylor expansion of 0 in lambda2 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [taylor]: Taking taylor expansion of 0 in R 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [taylor]: Taking taylor expansion of 0 in lambda2 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [taylor]: Taking taylor expansion of 0 in R 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [taylor]: Taking taylor expansion of 0 in lambda2 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [taylor]: Taking taylor expansion of 0 in R 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify 0 into 0 1.227 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.227 * [taylor]: Taking taylor expansion of 0 in lambda2 1.227 * [backup-simplify]: Simplify 0 into 0 1.228 * [taylor]: Taking taylor expansion of 0 in R 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [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) 1.228 * [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) 1.229 * [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 1.229 * [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 1.229 * [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 1.229 * [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)))))) 1.229 * [taylor]: Taking taylor expansion of R in R 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.230 * [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)))))) 1.230 * [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 1.230 * [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 1.230 * [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)))))) 1.230 * [taylor]: Taking taylor expansion of R in lambda2 1.230 * [backup-simplify]: Simplify R into R 1.231 * [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) 1.231 * [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 1.231 * [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 1.231 * [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)))))) 1.231 * [taylor]: Taking taylor expansion of R in lambda1 1.231 * [backup-simplify]: Simplify R into R 1.232 * [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) 1.232 * [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 1.232 * [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 1.232 * [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)))))) 1.232 * [taylor]: Taking taylor expansion of R in phi2 1.232 * [backup-simplify]: Simplify R into R 1.233 * [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) 1.233 * [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 1.233 * [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 1.233 * [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)))))) 1.233 * [taylor]: Taking taylor expansion of R in phi1 1.233 * [backup-simplify]: Simplify R into R 1.234 * [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) 1.234 * [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 1.234 * [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 1.234 * [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)))))) 1.234 * [taylor]: Taking taylor expansion of R in phi1 1.234 * [backup-simplify]: Simplify R into R 1.235 * [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) 1.235 * [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 1.235 * [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 1.235 * [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)))))) 1.235 * [taylor]: Taking taylor expansion of R in phi2 1.235 * [backup-simplify]: Simplify R into R 1.236 * [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) 1.236 * [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 1.236 * [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 1.236 * [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)))))) 1.236 * [taylor]: Taking taylor expansion of R in lambda1 1.236 * [backup-simplify]: Simplify R into R 1.237 * [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) 1.237 * [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 1.237 * [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 1.237 * [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)))))) 1.237 * [taylor]: Taking taylor expansion of R in lambda2 1.237 * [backup-simplify]: Simplify R into R 1.238 * [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) 1.238 * [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 1.238 * [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 1.238 * [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)))))) 1.238 * [taylor]: Taking taylor expansion of R in R 1.239 * [backup-simplify]: Simplify 0 into 0 1.239 * [backup-simplify]: Simplify 1 into 1 1.239 * [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)))))) 1.239 * [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)))))) 1.240 * [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 1.240 * [taylor]: Taking taylor expansion of 0 in phi2 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [taylor]: Taking taylor expansion of 0 in lambda1 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [taylor]: Taking taylor expansion of 0 in lambda2 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [taylor]: Taking taylor expansion of 0 in R 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [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 1.241 * [taylor]: Taking taylor expansion of 0 in lambda1 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [taylor]: Taking taylor expansion of 0 in lambda2 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [taylor]: Taking taylor expansion of 0 in R 1.241 * [backup-simplify]: Simplify 0 into 0 1.242 * [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 1.242 * [taylor]: Taking taylor expansion of 0 in lambda2 1.242 * [backup-simplify]: Simplify 0 into 0 1.242 * [taylor]: Taking taylor expansion of 0 in R 1.242 * [backup-simplify]: Simplify 0 into 0 1.243 * [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 1.243 * [taylor]: Taking taylor expansion of 0 in R 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [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 1.244 * [backup-simplify]: Simplify 0 into 0 1.245 * [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 1.245 * [taylor]: Taking taylor expansion of 0 in phi2 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in lambda1 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in lambda2 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in R 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in lambda1 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in lambda2 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [taylor]: Taking taylor expansion of 0 in R 1.245 * [backup-simplify]: Simplify 0 into 0 1.246 * [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 1.246 * [taylor]: Taking taylor expansion of 0 in lambda1 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [taylor]: Taking taylor expansion of 0 in lambda2 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [taylor]: Taking taylor expansion of 0 in R 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [taylor]: Taking taylor expansion of 0 in lambda2 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [taylor]: Taking taylor expansion of 0 in R 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [taylor]: Taking taylor expansion of 0 in lambda2 1.246 * [backup-simplify]: Simplify 0 into 0 1.246 * [taylor]: Taking taylor expansion of 0 in R 1.246 * [backup-simplify]: Simplify 0 into 0 1.247 * [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 1.247 * [taylor]: Taking taylor expansion of 0 in lambda2 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [taylor]: Taking taylor expansion of 0 in R 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [taylor]: Taking taylor expansion of 0 in R 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [taylor]: Taking taylor expansion of 0 in R 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [taylor]: Taking taylor expansion of 0 in R 1.247 * [backup-simplify]: Simplify 0 into 0 1.248 * [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 1.248 * [taylor]: Taking taylor expansion of 0 in R 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify 0 into 0 1.250 * [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 1.250 * [backup-simplify]: Simplify 0 into 0 1.251 * [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) 1.252 * [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)) 1.252 * [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 1.252 * [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 1.252 * [taylor]: Taking taylor expansion of -1 in R 1.252 * [backup-simplify]: Simplify -1 into -1 1.252 * [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 1.252 * [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 1.253 * [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))))))) 1.253 * [taylor]: Taking taylor expansion of R in R 1.253 * [backup-simplify]: Simplify 0 into 0 1.253 * [backup-simplify]: Simplify 1 into 1 1.253 * [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))))))) 1.253 * [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 1.253 * [taylor]: Taking taylor expansion of -1 in lambda2 1.253 * [backup-simplify]: Simplify -1 into -1 1.253 * [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 1.253 * [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 1.253 * [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))))))) 1.253 * [taylor]: Taking taylor expansion of R in lambda2 1.253 * [backup-simplify]: Simplify R into R 1.254 * [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) 1.254 * [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 1.254 * [taylor]: Taking taylor expansion of -1 in lambda1 1.254 * [backup-simplify]: Simplify -1 into -1 1.254 * [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 1.254 * [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 1.254 * [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))))))) 1.254 * [taylor]: Taking taylor expansion of R in lambda1 1.254 * [backup-simplify]: Simplify R into R 1.254 * [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) 1.254 * [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 1.254 * [taylor]: Taking taylor expansion of -1 in phi2 1.254 * [backup-simplify]: Simplify -1 into -1 1.254 * [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 1.254 * [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 1.254 * [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))))))) 1.254 * [taylor]: Taking taylor expansion of R in phi2 1.254 * [backup-simplify]: Simplify R into R 1.255 * [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) 1.255 * [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 1.255 * [taylor]: Taking taylor expansion of -1 in phi1 1.255 * [backup-simplify]: Simplify -1 into -1 1.255 * [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 1.255 * [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 1.255 * [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))))))) 1.255 * [taylor]: Taking taylor expansion of R in phi1 1.255 * [backup-simplify]: Simplify R into R 1.255 * [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) 1.255 * [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 1.255 * [taylor]: Taking taylor expansion of -1 in phi1 1.255 * [backup-simplify]: Simplify -1 into -1 1.255 * [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 1.255 * [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 1.256 * [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))))))) 1.256 * [taylor]: Taking taylor expansion of R in phi1 1.256 * [backup-simplify]: Simplify R into R 1.256 * [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) 1.256 * [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)) 1.256 * [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 1.256 * [taylor]: Taking taylor expansion of -1 in phi2 1.256 * [backup-simplify]: Simplify -1 into -1 1.256 * [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 1.256 * [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 1.257 * [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))))))) 1.257 * [taylor]: Taking taylor expansion of R in phi2 1.257 * [backup-simplify]: Simplify R into R 1.257 * [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) 1.257 * [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)) 1.257 * [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 1.257 * [taylor]: Taking taylor expansion of -1 in lambda1 1.257 * [backup-simplify]: Simplify -1 into -1 1.257 * [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 1.257 * [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 1.257 * [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))))))) 1.258 * [taylor]: Taking taylor expansion of R in lambda1 1.258 * [backup-simplify]: Simplify R into R 1.258 * [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) 1.258 * [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)) 1.258 * [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 1.258 * [taylor]: Taking taylor expansion of -1 in lambda2 1.258 * [backup-simplify]: Simplify -1 into -1 1.258 * [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 1.258 * [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 1.258 * [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))))))) 1.258 * [taylor]: Taking taylor expansion of R in lambda2 1.258 * [backup-simplify]: Simplify R into R 1.259 * [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) 1.259 * [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)) 1.259 * [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 1.259 * [taylor]: Taking taylor expansion of -1 in R 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [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 1.259 * [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 1.259 * [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))))))) 1.259 * [taylor]: Taking taylor expansion of R in R 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.260 * [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))))))) 1.260 * [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)))))))) 1.260 * [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)))))))) 1.260 * [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 1.261 * [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 1.261 * [taylor]: Taking taylor expansion of 0 in phi2 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [taylor]: Taking taylor expansion of 0 in lambda1 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [taylor]: Taking taylor expansion of 0 in lambda2 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [taylor]: Taking taylor expansion of 0 in R 1.261 * [backup-simplify]: Simplify 0 into 0 1.262 * [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 1.262 * [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 1.263 * [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 * [taylor]: Taking taylor expansion of 0 in R 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [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 1.264 * [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 1.264 * [taylor]: Taking taylor expansion of 0 in lambda2 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [taylor]: Taking taylor expansion of 0 in R 1.264 * [backup-simplify]: Simplify 0 into 0 1.264 * [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 1.265 * [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 1.265 * [taylor]: Taking taylor expansion of 0 in R 1.265 * [backup-simplify]: Simplify 0 into 0 1.265 * [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 1.266 * [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 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [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 1.267 * [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 1.267 * [taylor]: Taking taylor expansion of 0 in phi2 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in lambda1 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in lambda2 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in R 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in lambda1 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in lambda2 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [taylor]: Taking taylor expansion of 0 in R 1.267 * [backup-simplify]: Simplify 0 into 0 1.268 * [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 1.269 * [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 1.269 * [taylor]: Taking taylor expansion of 0 in lambda1 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [taylor]: Taking taylor expansion of 0 in lambda2 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [taylor]: Taking taylor expansion of 0 in R 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [taylor]: Taking taylor expansion of 0 in lambda2 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [taylor]: Taking taylor expansion of 0 in R 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [taylor]: Taking taylor expansion of 0 in lambda2 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [taylor]: Taking taylor expansion of 0 in R 1.269 * [backup-simplify]: Simplify 0 into 0 1.269 * [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 1.270 * [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 1.270 * [taylor]: Taking taylor expansion of 0 in lambda2 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [taylor]: Taking taylor expansion of 0 in R 1.270 * [backup-simplify]: Simplify 0 into 0 1.271 * [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 1.271 * [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 1.271 * [taylor]: Taking taylor expansion of 0 in R 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 0 into 0 1.273 * [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 1.273 * [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 1.274 * [backup-simplify]: Simplify 0 into 0 1.279 * [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) 1.279 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 1.279 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 1.279 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 1.279 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 1.279 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 1.279 * [taylor]: Taking taylor expansion of phi1 in phi2 1.279 * [backup-simplify]: Simplify phi1 into phi1 1.279 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.279 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.279 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.279 * [taylor]: Taking taylor expansion of phi2 in phi2 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.279 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.279 * [taylor]: Taking taylor expansion of phi1 in phi1 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.279 * [taylor]: Taking taylor expansion of phi2 in phi1 1.279 * [backup-simplify]: Simplify phi2 into phi2 1.279 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.279 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.279 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 1.279 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 1.279 * [taylor]: Taking taylor expansion of phi1 in phi1 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [backup-simplify]: Simplify 1 into 1 1.279 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 1.279 * [taylor]: Taking taylor expansion of phi2 in phi1 1.279 * [backup-simplify]: Simplify phi2 into phi2 1.279 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.279 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.280 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 1.280 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 1.280 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 1.280 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 1.280 * [taylor]: Taking taylor expansion of 0 in phi2 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify (+ 0) into 0 1.281 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 1.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.281 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 1.282 * [backup-simplify]: Simplify (+ 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 1.282 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.282 * [taylor]: Taking taylor expansion of phi2 in phi2 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.283 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.284 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.284 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.285 * [backup-simplify]: Simplify (+ 0 0) into 0 1.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 1.286 * [taylor]: Taking taylor expansion of 0 in phi2 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.289 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.291 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.292 * [backup-simplify]: Simplify (+ 0 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 1.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 1.294 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 1.294 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 1.294 * [taylor]: Taking taylor expansion of 1/6 in phi2 1.295 * [backup-simplify]: Simplify 1/6 into 1/6 1.295 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 1.295 * [taylor]: Taking taylor expansion of phi2 in phi2 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 1 into 1 1.295 * [backup-simplify]: Simplify (* 1/6 0) into 0 1.295 * [backup-simplify]: Simplify (- 0) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 0 into 0 1.299 * [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 1.300 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.302 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.302 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.304 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 1.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 1.306 * [taylor]: Taking taylor expansion of 0 in phi2 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 1.306 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.306 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 1.306 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.306 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.306 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.306 * [taylor]: Taking taylor expansion of phi2 in phi2 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.307 * [backup-simplify]: Simplify (/ 1 1) into 1 1.307 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.307 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.307 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.307 * [taylor]: Taking taylor expansion of phi1 in phi2 1.307 * [backup-simplify]: Simplify phi1 into phi1 1.307 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.307 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.307 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.307 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.307 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.307 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.307 * [taylor]: Taking taylor expansion of phi2 in phi1 1.307 * [backup-simplify]: Simplify phi2 into phi2 1.307 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.307 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.307 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.308 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.308 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.308 * [taylor]: Taking taylor expansion of phi1 in phi1 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (/ 1 1) into 1 1.308 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.308 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 1.308 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 1.308 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.308 * [taylor]: Taking taylor expansion of phi2 in phi1 1.308 * [backup-simplify]: Simplify phi2 into phi2 1.308 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.308 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.308 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.308 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 1.308 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.309 * [taylor]: Taking taylor expansion of phi1 in phi1 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.309 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 1.309 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 1.309 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 1.310 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.310 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 1.310 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 1.310 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.310 * [taylor]: Taking taylor expansion of phi2 in phi2 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1 1) into 1 1.310 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.310 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 1.310 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.310 * [taylor]: Taking taylor expansion of phi1 in phi2 1.310 * [backup-simplify]: Simplify phi1 into phi1 1.310 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.310 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.310 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.311 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 1.311 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 1.311 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 1.311 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.311 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 1.311 * [backup-simplify]: Simplify (+ 0) into 0 1.312 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.314 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 1.314 * [backup-simplify]: Simplify (+ 0 0) into 0 1.314 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.314 * [taylor]: Taking taylor expansion of 0 in phi2 1.314 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify (+ 0) into 0 1.315 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.317 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 1.317 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.319 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.320 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.321 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.321 * [taylor]: Taking taylor expansion of 0 in phi2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.323 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.325 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.325 * [backup-simplify]: Simplify (+ 0 0) into 0 1.325 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.326 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.327 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 1.328 * [taylor]: Taking taylor expansion of 0 in phi2 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 1.329 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.329 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 1.329 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.329 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.329 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.329 * [taylor]: Taking taylor expansion of -1 in phi2 1.329 * [backup-simplify]: Simplify -1 into -1 1.329 * [taylor]: Taking taylor expansion of phi1 in phi2 1.329 * [backup-simplify]: Simplify phi1 into phi1 1.329 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.329 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.329 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.329 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.329 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.329 * [taylor]: Taking taylor expansion of -1 in phi2 1.329 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 1.329 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.329 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.329 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.329 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.329 * [taylor]: Taking taylor expansion of -1 in phi1 1.329 * [backup-simplify]: Simplify -1 into -1 1.329 * [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 * [backup-simplify]: Simplify (/ -1 1) into -1 1.330 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.330 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.330 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.330 * [taylor]: Taking taylor expansion of -1 in phi1 1.330 * [backup-simplify]: Simplify -1 into -1 1.330 * [taylor]: Taking taylor expansion of phi2 in phi1 1.330 * [backup-simplify]: Simplify phi2 into phi2 1.330 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.330 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.330 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.330 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 1.330 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 1.330 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.330 * [taylor]: Taking taylor expansion of -1 in phi1 1.330 * [backup-simplify]: Simplify -1 into -1 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 * [backup-simplify]: Simplify (/ -1 1) into -1 1.330 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.331 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 1.331 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.331 * [taylor]: Taking taylor expansion of -1 in phi1 1.331 * [backup-simplify]: Simplify -1 into -1 1.331 * [taylor]: Taking taylor expansion of phi2 in phi1 1.331 * [backup-simplify]: Simplify phi2 into phi2 1.331 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.331 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.331 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.331 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 1.331 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 1.331 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 1.331 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.331 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 1.331 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 1.331 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.331 * [taylor]: Taking taylor expansion of -1 in phi2 1.331 * [backup-simplify]: Simplify -1 into -1 1.331 * [taylor]: Taking taylor expansion of phi1 in phi2 1.331 * [backup-simplify]: Simplify phi1 into phi1 1.331 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.331 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.331 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.331 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 1.331 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.331 * [taylor]: Taking taylor expansion of -1 in phi2 1.331 * [backup-simplify]: Simplify -1 into -1 1.331 * [taylor]: Taking taylor expansion of phi2 in phi2 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify (/ -1 1) into -1 1.332 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.332 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 1.332 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 1.332 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 1.332 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.332 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 1.332 * [backup-simplify]: Simplify (+ 0) into 0 1.333 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.333 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.333 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.334 * [taylor]: Taking taylor expansion of 0 in phi2 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify (+ 0) into 0 1.334 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 1.334 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.335 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 1.335 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.337 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.337 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.338 * [taylor]: Taking taylor expansion of 0 in phi2 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.339 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 1.339 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.340 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 1.340 * [backup-simplify]: Simplify (+ 0 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 1.341 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 1.343 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 1.344 * [taylor]: Taking taylor expansion of 0 in phi2 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 1.344 * * * [progress]: simplifying candidates 1.344 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 1.344 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 1.344 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 1.345 * [simplify]: Simplifying (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) 1.345 * * [simplify]: iters left: 6 (14 enodes) 1.348 * * [simplify]: iters left: 5 (52 enodes) 1.357 * * [simplify]: iters left: 4 (65 enodes) 1.366 * * [simplify]: iters left: 3 (72 enodes) 1.375 * * [simplify]: iters left: 2 (75 enodes) 1.386 * * [simplify]: iters left: 1 (79 enodes) 1.394 * * [simplify]: Extracting #0: cost 1 inf + 0 1.394 * * [simplify]: Extracting #1: cost 4 inf + 0 1.394 * * [simplify]: Extracting #2: cost 8 inf + 0 1.394 * * [simplify]: Extracting #3: cost 19 inf + 0 1.394 * * [simplify]: Extracting #4: cost 21 inf + 205 1.394 * * [simplify]: Extracting #5: cost 7 inf + 1805 1.395 * * [simplify]: Extracting #6: cost 1 inf + 2591 1.395 * * [simplify]: Extracting #7: cost 0 inf + 2752 1.395 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (cos (+ (- lambda2) lambda2))) 1.395 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (- lambda1 lambda2)) (cos (+ (- lambda2) lambda2))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))))))) R)) 1.396 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 1.396 * [simplify]: Simplifying (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) 1.396 * * [simplify]: iters left: 6 (13 enodes) 1.399 * * [simplify]: iters left: 5 (42 enodes) 1.405 * * [simplify]: iters left: 4 (50 enodes) 1.414 * * [simplify]: iters left: 3 (56 enodes) 1.428 * * [simplify]: iters left: 2 (61 enodes) 1.443 * * [simplify]: iters left: 1 (64 enodes) 1.458 * * [simplify]: Extracting #0: cost 1 inf + 0 1.458 * * [simplify]: Extracting #1: cost 4 inf + 0 1.458 * * [simplify]: Extracting #2: cost 5 inf + 1 1.458 * * [simplify]: Extracting #3: cost 13 inf + 1 1.458 * * [simplify]: Extracting #4: cost 16 inf + 3 1.459 * * [simplify]: Extracting #5: cost 11 inf + 289 1.459 * * [simplify]: Extracting #6: cost 3 inf + 941 1.459 * * [simplify]: Extracting #7: cost 0 inf + 1307 1.460 * [simplify]: Simplified to (* 1 (cos (- lambda1 lambda2))) 1.460 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* 1 (cos (- lambda1 lambda2))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))))))) R)) 1.460 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 1.461 * [simplify]: Simplifying (* (cos (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) 1.461 * * [simplify]: iters left: 6 (13 enodes) 1.467 * * [simplify]: iters left: 5 (42 enodes) 1.480 * * [simplify]: iters left: 4 (54 enodes) 1.496 * * [simplify]: iters left: 3 (61 enodes) 1.510 * * [simplify]: iters left: 2 (67 enodes) 1.528 * * [simplify]: iters left: 1 (70 enodes) 1.537 * * [simplify]: Extracting #0: cost 1 inf + 0 1.537 * * [simplify]: Extracting #1: cost 4 inf + 0 1.537 * * [simplify]: Extracting #2: cost 8 inf + 0 1.537 * * [simplify]: Extracting #3: cost 16 inf + 0 1.537 * * [simplify]: Extracting #4: cost 16 inf + 3 1.537 * * [simplify]: Extracting #5: cost 9 inf + 511 1.538 * * [simplify]: Extracting #6: cost 0 inf + 1785 1.538 * [simplify]: Simplified to (* (cos (+ (- lambda2) lambda2)) (cos (- lambda1 lambda2))) 1.538 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (+ (- lambda2) lambda2)) (cos (- lambda1 lambda2))) (* (sin (fma (* (cbrt lambda1) (cbrt lambda1)) (cbrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))))))) R)) 1.538 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 1.538 * [simplify]: Simplifying (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) 1.539 * * [simplify]: iters left: 6 (13 enodes) 1.541 * * [simplify]: iters left: 5 (49 enodes) 1.549 * * [simplify]: iters left: 4 (58 enodes) 1.557 * * [simplify]: Extracting #0: cost 1 inf + 0 1.557 * * [simplify]: Extracting #1: cost 4 inf + 0 1.557 * * [simplify]: Extracting #2: cost 8 inf + 0 1.557 * * [simplify]: Extracting #3: cost 18 inf + 0 1.557 * * [simplify]: Extracting #4: cost 17 inf + 427 1.557 * * [simplify]: Extracting #5: cost 5 inf + 2024 1.557 * * [simplify]: Extracting #6: cost 0 inf + 2590 1.558 * [simplify]: Simplified to (* (cos (+ (- lambda2) lambda2)) (cos (+ lambda1 (- lambda2)))) 1.558 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (+ (- lambda2) lambda2)) (cos (+ lambda1 (- lambda2)))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))))))) R)) 1.558 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 1.558 * [simplify]: Simplifying (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) 1.558 * * [simplify]: iters left: 6 (12 enodes) 1.561 * * [simplify]: iters left: 5 (39 enodes) 1.572 * * [simplify]: iters left: 4 (43 enodes) 1.583 * * [simplify]: iters left: 3 (44 enodes) 1.593 * * [simplify]: iters left: 2 (45 enodes) 1.604 * * [simplify]: iters left: 1 (46 enodes) 1.616 * * [simplify]: Extracting #0: cost 1 inf + 0 1.616 * * [simplify]: Extracting #1: cost 4 inf + 0 1.616 * * [simplify]: Extracting #2: cost 5 inf + 1 1.617 * * [simplify]: Extracting #3: cost 10 inf + 1 1.617 * * [simplify]: Extracting #4: cost 12 inf + 3 1.617 * * [simplify]: Extracting #5: cost 5 inf + 598 1.617 * * [simplify]: Extracting #6: cost 0 inf + 985 1.618 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) 1) 1.618 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (- lambda1 lambda2)) 1) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))))))) R)) 1.618 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 1.618 * [simplify]: Simplifying (* (cos (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) 1.619 * * [simplify]: iters left: 6 (12 enodes) 1.624 * * [simplify]: iters left: 5 (39 enodes) 1.636 * * [simplify]: iters left: 4 (47 enodes) 1.644 * * [simplify]: iters left: 3 (50 enodes) 1.650 * * [simplify]: iters left: 2 (52 enodes) 1.656 * * [simplify]: Extracting #0: cost 1 inf + 0 1.656 * * [simplify]: Extracting #1: cost 4 inf + 0 1.656 * * [simplify]: Extracting #2: cost 8 inf + 0 1.656 * * [simplify]: Extracting #3: cost 15 inf + 0 1.657 * * [simplify]: Extracting #4: cost 11 inf + 206 1.657 * * [simplify]: Extracting #5: cost 2 inf + 1040 1.657 * * [simplify]: Extracting #6: cost 0 inf + 1463 1.657 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (cos (+ (- lambda2) lambda2))) 1.657 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (- lambda1 lambda2)) (cos (+ (- lambda2) lambda2))) (* (sin (fma (sqrt lambda1) (sqrt lambda1) (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))))))) R)) 1.657 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 1.658 * [simplify]: Simplifying (* (cos (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (cos (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) 1.658 * * [simplify]: iters left: 6 (13 enodes) 1.661 * * [simplify]: iters left: 5 (51 enodes) 1.669 * * [simplify]: iters left: 4 (62 enodes) 1.678 * * [simplify]: Extracting #0: cost 1 inf + 0 1.678 * * [simplify]: Extracting #1: cost 4 inf + 0 1.679 * * [simplify]: Extracting #2: cost 8 inf + 0 1.679 * * [simplify]: Extracting #3: cost 18 inf + 0 1.679 * * [simplify]: Extracting #4: cost 13 inf + 711 1.679 * * [simplify]: Extracting #5: cost 1 inf + 2227 1.680 * * [simplify]: Extracting #6: cost 0 inf + 2509 1.681 * [simplify]: Simplified to (* (cos (+ (- lambda2) lambda2)) (cos (+ lambda1 (- lambda2)))) 1.681 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (+ (- lambda2) lambda2)) (cos (+ lambda1 (- lambda2)))) (* (sin (fma 1 lambda1 (- (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))) (sin (fma (- (cbrt lambda2)) (* (cbrt lambda2) (cbrt lambda2)) (* (cbrt lambda2) (* (cbrt lambda2) (cbrt lambda2)))))))))) R)) 1.681 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 1.682 * [simplify]: Simplifying (* (cos (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (cos (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))) 1.682 * * [simplify]: iters left: 6 (12 enodes) 1.687 * * [simplify]: iters left: 5 (41 enodes) 1.700 * * [simplify]: iters left: 4 (47 enodes) 1.709 * * [simplify]: iters left: 3 (48 enodes) 1.715 * * [simplify]: iters left: 2 (49 enodes) 1.721 * * [simplify]: iters left: 1 (50 enodes) 1.729 * * [simplify]: Extracting #0: cost 1 inf + 0 1.729 * * [simplify]: Extracting #1: cost 4 inf + 0 1.729 * * [simplify]: Extracting #2: cost 5 inf + 1 1.729 * * [simplify]: Extracting #3: cost 9 inf + 1 1.729 * * [simplify]: Extracting #4: cost 4 inf + 475 1.729 * * [simplify]: Extracting #5: cost 3 inf + 700 1.729 * * [simplify]: Extracting #6: cost 0 inf + 903 1.730 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) 1) 1.730 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (- lambda1 lambda2)) 1) (* (sin (fma 1 lambda1 (- (* (sqrt lambda2) (sqrt lambda2))))) (sin (fma (- (sqrt lambda2)) (sqrt lambda2) (* (sqrt lambda2) (sqrt lambda2))))))))) R)) 1.730 * * * * [progress]: [ 11 / 88 ] simplifiying candidate # 1.730 * [simplify]: Simplifying (* (cos (fma 1 lambda1 (- (* lambda2 1)))) (cos (fma (- lambda2) 1 (* lambda2 1)))) 1.730 * * [simplify]: iters left: 6 (11 enodes) 1.733 * * [simplify]: iters left: 5 (36 enodes) 1.742 * * [simplify]: iters left: 4 (44 enodes) 1.753 * * [simplify]: iters left: 3 (47 enodes) 1.764 * * [simplify]: iters left: 2 (49 enodes) 1.774 * * [simplify]: Extracting #0: cost 1 inf + 0 1.775 * * [simplify]: Extracting #1: cost 4 inf + 0 1.775 * * [simplify]: Extracting #2: cost 8 inf + 0 1.775 * * [simplify]: Extracting #3: cost 14 inf + 0 1.775 * * [simplify]: Extracting #4: cost 7 inf + 389 1.776 * * [simplify]: Extracting #5: cost 0 inf + 1381 1.776 * [simplify]: Simplified to (* (cos (+ (- lambda2) lambda2)) (cos (- lambda1 lambda2))) 1.776 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos (+ (- lambda2) lambda2)) (cos (- lambda1 lambda2))) (* (sin (fma 1 lambda1 (- (* lambda2 1)))) (sin (fma (- lambda2) 1 (* lambda2 1)))))))) R)) 1.776 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 1.777 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.777 * * [simplify]: iters left: 5 (6 enodes) 1.779 * * [simplify]: iters left: 4 (20 enodes) 1.784 * * [simplify]: Extracting #0: cost 1 inf + 0 1.784 * * [simplify]: Extracting #1: cost 4 inf + 0 1.784 * * [simplify]: Extracting #2: cost 9 inf + 0 1.785 * * [simplify]: Extracting #3: cost 5 inf + 165 1.785 * * [simplify]: Extracting #4: cost 0 inf + 652 1.785 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.785 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) 1.785 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 1.785 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.786 * * [simplify]: iters left: 5 (6 enodes) 1.788 * * [simplify]: iters left: 4 (20 enodes) 1.793 * * [simplify]: Extracting #0: cost 1 inf + 0 1.793 * * [simplify]: Extracting #1: cost 4 inf + 0 1.793 * * [simplify]: Extracting #2: cost 9 inf + 0 1.794 * * [simplify]: Extracting #3: cost 5 inf + 165 1.794 * * [simplify]: Extracting #4: cost 0 inf + 652 1.794 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.794 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (- (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin (- lambda2))))))) R)) 1.794 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 1.795 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2)) 1.795 * * [simplify]: iters left: 3 (5 enodes) 1.797 * * [simplify]: iters left: 2 (16 enodes) 1.801 * * [simplify]: Extracting #0: cost 1 inf + 0 1.801 * * [simplify]: Extracting #1: cost 4 inf + 0 1.801 * * [simplify]: Extracting #2: cost 8 inf + 0 1.801 * * [simplify]: Extracting #3: cost 4 inf + 124 1.801 * * [simplify]: Extracting #4: cost 0 inf + 570 1.802 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1)) 1.802 * [simplify]: Simplified (2 1 1 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2)))))) R)) 1.802 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 1.802 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 1.802 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 1.802 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 1.802 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 1.802 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 1.802 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 22 / 88 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.803 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 31 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 32 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 33 / 88 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.803 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 1.803 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 1.804 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1.804 * * [simplify]: iters left: 6 (17 enodes) 1.811 * * [simplify]: iters left: 5 (61 enodes) 1.828 * * [simplify]: iters left: 4 (76 enodes) 1.849 * * [simplify]: iters left: 3 (82 enodes) 1.869 * * [simplify]: Extracting #0: cost 1 inf + 0 1.870 * * [simplify]: Extracting #1: cost 4 inf + 0 1.870 * * [simplify]: Extracting #2: cost 5 inf + 1 1.870 * * [simplify]: Extracting #3: cost 14 inf + 1 1.870 * * [simplify]: Extracting #4: cost 27 inf + 1 1.870 * * [simplify]: Extracting #5: cost 27 inf + 247 1.870 * * [simplify]: Extracting #6: cost 19 inf + 979 1.871 * * [simplify]: Extracting #7: cost 11 inf + 2455 1.873 * * [simplify]: Extracting #8: cost 1 inf + 5637 1.874 * * [simplify]: Extracting #9: cost 0 inf + 6247 1.877 * [simplify]: Simplified to (* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) 1.877 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) 1)) 1.877 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 1.877 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 1.877 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) 1.877 * * [simplify]: iters left: 6 (19 enodes) 1.887 * * [simplify]: iters left: 5 (67 enodes) 1.904 * * [simplify]: iters left: 4 (82 enodes) 1.915 * * [simplify]: iters left: 3 (88 enodes) 1.926 * * [simplify]: Extracting #0: cost 1 inf + 0 1.926 * * [simplify]: Extracting #1: cost 4 inf + 0 1.926 * * [simplify]: Extracting #2: cost 8 inf + 0 1.926 * * [simplify]: Extracting #3: cost 9 inf + 1 1.927 * * [simplify]: Extracting #4: cost 16 inf + 143 1.927 * * [simplify]: Extracting #5: cost 29 inf + 143 1.927 * * [simplify]: Extracting #6: cost 28 inf + 450 1.927 * * [simplify]: Extracting #7: cost 20 inf + 1283 1.927 * * [simplify]: Extracting #8: cost 11 inf + 2639 1.928 * * [simplify]: Extracting #9: cost 2 inf + 6447 1.929 * * [simplify]: Extracting #10: cost 1 inf + 7197 1.930 * * [simplify]: Extracting #11: cost 0 inf + 7947 1.931 * [simplify]: Simplified to (+ (log R) (log (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))) 1.931 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))))) 1.932 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 1.932 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 1.932 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 1.932 * [simplify]: Simplifying (* (* (* (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)) 1.932 * * [simplify]: iters left: 6 (21 enodes) 1.938 * * [simplify]: iters left: 5 (79 enodes) 1.962 * * [simplify]: iters left: 4 (123 enodes) 1.994 * * [simplify]: iters left: 3 (183 enodes) 2.041 * * [simplify]: iters left: 2 (257 enodes) 2.141 * * [simplify]: iters left: 1 (418 enodes) 2.261 * * [simplify]: Extracting #0: cost 1 inf + 0 2.261 * * [simplify]: Extracting #1: cost 50 inf + 0 2.261 * * [simplify]: Extracting #2: cost 150 inf + 2 2.265 * * [simplify]: Extracting #3: cost 158 inf + 1609 2.265 * * [simplify]: Extracting #4: cost 167 inf + 2698 2.266 * * [simplify]: Extracting #5: cost 159 inf + 4379 2.268 * * [simplify]: Extracting #6: cost 136 inf + 14878 2.280 * * [simplify]: Extracting #7: cost 41 inf + 96381 2.299 * * [simplify]: Extracting #8: cost 0 inf + 140422 2.333 * * [simplify]: Extracting #9: cost 0 inf + 140302 2.370 * [simplify]: Simplified to (* (* (* (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))) R)) 2.370 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))) R)))) 2.370 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 2.370 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 2.370 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 2.370 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 2.370 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 2.370 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 2.370 * * [simplify]: iters left: 6 (19 enodes) 2.375 * * [simplify]: iters left: 5 (67 enodes) 2.385 * * [simplify]: iters left: 4 (82 enodes) 2.396 * * [simplify]: iters left: 3 (88 enodes) 2.414 * * [simplify]: Extracting #0: cost 1 inf + 0 2.414 * * [simplify]: Extracting #1: cost 4 inf + 0 2.414 * * [simplify]: Extracting #2: cost 8 inf + 0 2.414 * * [simplify]: Extracting #3: cost 9 inf + 1 2.414 * * [simplify]: Extracting #4: cost 16 inf + 83 2.414 * * [simplify]: Extracting #5: cost 29 inf + 83 2.414 * * [simplify]: Extracting #6: cost 28 inf + 390 2.415 * * [simplify]: Extracting #7: cost 20 inf + 1223 2.416 * * [simplify]: Extracting #8: cost 11 inf + 2579 2.418 * * [simplify]: Extracting #9: cost 2 inf + 6327 2.419 * * [simplify]: Extracting #10: cost 1 inf + 7017 2.421 * * [simplify]: Extracting #11: cost 0 inf + 7707 2.424 * [simplify]: Simplified to (* (sqrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) (sqrt R)) 2.424 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)))) 2.424 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 2.424 * * [simplify]: iters left: 6 (19 enodes) 2.430 * * [simplify]: iters left: 5 (67 enodes) 2.440 * * [simplify]: iters left: 4 (82 enodes) 2.451 * * [simplify]: iters left: 3 (88 enodes) 2.471 * * [simplify]: Extracting #0: cost 1 inf + 0 2.471 * * [simplify]: Extracting #1: cost 4 inf + 0 2.471 * * [simplify]: Extracting #2: cost 8 inf + 0 2.471 * * [simplify]: Extracting #3: cost 9 inf + 1 2.471 * * [simplify]: Extracting #4: cost 16 inf + 83 2.471 * * [simplify]: Extracting #5: cost 29 inf + 83 2.471 * * [simplify]: Extracting #6: cost 28 inf + 390 2.472 * * [simplify]: Extracting #7: cost 20 inf + 1223 2.473 * * [simplify]: Extracting #8: cost 11 inf + 2579 2.475 * * [simplify]: Extracting #9: cost 2 inf + 6327 2.476 * * [simplify]: Extracting #10: cost 1 inf + 7017 2.478 * * [simplify]: Extracting #11: cost 0 inf + 7707 2.481 * [simplify]: Simplified to (* (sqrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) (sqrt R)) 2.481 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) (* (sqrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) (sqrt R)))) 2.481 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 2.481 * [simplify]: Simplifying (cbrt R) 2.481 * * [simplify]: iters left: 1 (2 enodes) 2.482 * * [simplify]: Extracting #0: cost 1 inf + 0 2.482 * * [simplify]: Extracting #1: cost 3 inf + 0 2.482 * * [simplify]: Extracting #2: cost 2 inf + 1 2.482 * * [simplify]: Extracting #3: cost 0 inf + 163 2.482 * [simplify]: Simplified to (cbrt R) 2.482 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (* (cbrt R) (cbrt R))) (cbrt R))) 2.483 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 2.483 * [simplify]: Simplifying (sqrt R) 2.483 * * [simplify]: iters left: 1 (2 enodes) 2.484 * * [simplify]: Extracting #0: cost 1 inf + 0 2.484 * * [simplify]: Extracting #1: cost 3 inf + 0 2.484 * * [simplify]: Extracting #2: cost 2 inf + 1 2.484 * * [simplify]: Extracting #3: cost 0 inf + 83 2.484 * [simplify]: Simplified to (sqrt R) 2.484 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) (sqrt R)) (sqrt R))) 2.484 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 2.484 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 2.484 * [simplify]: Simplifying (* (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))))))) 2.485 * * [simplify]: iters left: 6 (17 enodes) 2.493 * * [simplify]: iters left: 5 (60 enodes) 2.511 * * [simplify]: iters left: 4 (75 enodes) 2.532 * * [simplify]: iters left: 3 (81 enodes) 2.551 * * [simplify]: Extracting #0: cost 1 inf + 0 2.551 * * [simplify]: Extracting #1: cost 3 inf + 0 2.551 * * [simplify]: Extracting #2: cost 5 inf + 0 2.551 * * [simplify]: Extracting #3: cost 7 inf + 0 2.551 * * [simplify]: Extracting #4: cost 16 inf + 0 2.551 * * [simplify]: Extracting #5: cost 29 inf + 0 2.551 * * [simplify]: Extracting #6: cost 29 inf + 246 2.552 * * [simplify]: Extracting #7: cost 21 inf + 978 2.552 * * [simplify]: Extracting #8: cost 13 inf + 2454 2.553 * * [simplify]: Extracting #9: cost 3 inf + 6161 2.554 * * [simplify]: Extracting #10: cost 0 inf + 7702 2.555 * [simplify]: Simplified to (* (cbrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))) 2.555 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) 2.555 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 2.555 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.555 * * [simplify]: iters left: 6 (16 enodes) 2.559 * * [simplify]: iters left: 5 (57 enodes) 2.567 * * [simplify]: iters left: 4 (72 enodes) 2.581 * * [simplify]: iters left: 3 (78 enodes) 2.599 * * [simplify]: Extracting #0: cost 1 inf + 0 2.599 * * [simplify]: Extracting #1: cost 3 inf + 0 2.599 * * [simplify]: Extracting #2: cost 5 inf + 0 2.599 * * [simplify]: Extracting #3: cost 14 inf + 0 2.599 * * [simplify]: Extracting #4: cost 27 inf + 0 2.599 * * [simplify]: Extracting #5: cost 24 inf + 429 2.599 * * [simplify]: Extracting #6: cost 19 inf + 978 2.600 * * [simplify]: Extracting #7: cost 5 inf + 3584 2.601 * * [simplify]: Extracting #8: cost 1 inf + 5635 2.602 * * [simplify]: Extracting #9: cost 0 inf + 6244 2.602 * [simplify]: Simplified to (sqrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) 2.603 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) 2.603 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 2.603 * * * * [progress]: [ 53 / 88 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 2.603 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 2.603 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 2.603 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 2.603 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 2.603 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 2.603 * * [simplify]: iters left: 5 (7 enodes) 2.605 * * [simplify]: iters left: 4 (26 enodes) 2.609 * * [simplify]: iters left: 3 (32 enodes) 2.614 * * [simplify]: Extracting #0: cost 1 inf + 0 2.614 * * [simplify]: Extracting #1: cost 5 inf + 0 2.614 * * [simplify]: Extracting #2: cost 10 inf + 0 2.614 * * [simplify]: Extracting #3: cost 15 inf + 0 2.614 * * [simplify]: Extracting #4: cost 13 inf + 43 2.614 * * [simplify]: Extracting #5: cost 4 inf + 800 2.614 * * [simplify]: Extracting #6: cost 1 inf + 1186 2.615 * * [simplify]: Extracting #7: cost 0 inf + 1428 2.615 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2.615 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.615 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 2.615 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 2.615 * * [simplify]: iters left: 3 (5 enodes) 2.616 * * [simplify]: iters left: 2 (16 enodes) 2.618 * * [simplify]: Extracting #0: cost 1 inf + 0 2.619 * * [simplify]: Extracting #1: cost 4 inf + 0 2.619 * * [simplify]: Extracting #2: cost 8 inf + 0 2.619 * * [simplify]: Extracting #3: cost 4 inf + 124 2.619 * * [simplify]: Extracting #4: cost 0 inf + 570 2.619 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 2.619 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.619 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 2.619 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 2.619 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 2.619 * * [simplify]: iters left: 4 (7 enodes) 2.621 * * [simplify]: iters left: 3 (22 enodes) 2.624 * * [simplify]: Extracting #0: cost 1 inf + 0 2.624 * * [simplify]: Extracting #1: cost 4 inf + 0 2.624 * * [simplify]: Extracting #2: cost 8 inf + 0 2.624 * * [simplify]: Extracting #3: cost 12 inf + 0 2.624 * * [simplify]: Extracting #4: cost 10 inf + 2 2.624 * * [simplify]: Extracting #5: cost 4 inf + 508 2.624 * * [simplify]: Extracting #6: cost 1 inf + 1072 2.624 * * [simplify]: Extracting #7: cost 0 inf + 1374 2.625 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 2.625 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 2.625 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 2.625 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 2.625 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 2.625 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 2.626 * * [simplify]: iters left: 6 (9 enodes) 2.630 * * [simplify]: iters left: 5 (34 enodes) 2.641 * * [simplify]: iters left: 4 (63 enodes) 2.667 * * [simplify]: iters left: 3 (122 enodes) 2.715 * * [simplify]: iters left: 2 (196 enodes) 2.806 * * [simplify]: iters left: 1 (356 enodes) 2.968 * * [simplify]: Extracting #0: cost 1 inf + 0 2.969 * * [simplify]: Extracting #1: cost 70 inf + 0 2.969 * * [simplify]: Extracting #2: cost 169 inf + 1 2.970 * * [simplify]: Extracting #3: cost 154 inf + 2658 2.973 * * [simplify]: Extracting #4: cost 86 inf + 31524 2.985 * * [simplify]: Extracting #5: cost 7 inf + 77226 3.000 * * [simplify]: Extracting #6: cost 0 inf + 81813 3.018 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 3.018 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.018 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 3.018 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 3.018 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 3.018 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 3.018 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 3.019 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 3.019 * * [simplify]: iters left: 4 (7 enodes) 3.022 * * [simplify]: iters left: 3 (22 enodes) 3.028 * * [simplify]: Extracting #0: cost 1 inf + 0 3.028 * * [simplify]: Extracting #1: cost 4 inf + 0 3.028 * * [simplify]: Extracting #2: cost 8 inf + 0 3.028 * * [simplify]: Extracting #3: cost 12 inf + 0 3.028 * * [simplify]: Extracting #4: cost 10 inf + 2 3.028 * * [simplify]: Extracting #5: cost 4 inf + 448 3.028 * * [simplify]: Extracting #6: cost 1 inf + 892 3.029 * * [simplify]: Extracting #7: cost 0 inf + 1134 3.029 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 3.029 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.029 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 3.030 * * [simplify]: iters left: 4 (7 enodes) 3.036 * * [simplify]: iters left: 3 (22 enodes) 3.042 * * [simplify]: Extracting #0: cost 1 inf + 0 3.042 * * [simplify]: Extracting #1: cost 4 inf + 0 3.042 * * [simplify]: Extracting #2: cost 8 inf + 0 3.042 * * [simplify]: Extracting #3: cost 12 inf + 0 3.042 * * [simplify]: Extracting #4: cost 10 inf + 2 3.042 * * [simplify]: Extracting #5: cost 4 inf + 448 3.043 * * [simplify]: Extracting #6: cost 1 inf + 892 3.043 * * [simplify]: Extracting #7: cost 0 inf + 1134 3.043 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 3.043 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.044 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 3.044 * [simplify]: Simplifying (cbrt (sin phi2)) 3.044 * * [simplify]: iters left: 2 (3 enodes) 3.045 * * [simplify]: iters left: 1 (9 enodes) 3.048 * * [simplify]: Extracting #0: cost 1 inf + 0 3.048 * * [simplify]: Extracting #1: cost 3 inf + 0 3.048 * * [simplify]: Extracting #2: cost 5 inf + 0 3.048 * * [simplify]: Extracting #3: cost 4 inf + 1 3.048 * * [simplify]: Extracting #4: cost 0 inf + 405 3.048 * [simplify]: Simplified to (cbrt (sin phi2)) 3.048 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.048 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 3.049 * [simplify]: Simplifying (sqrt (sin phi2)) 3.049 * * [simplify]: iters left: 2 (3 enodes) 3.049 * * [simplify]: iters left: 1 (9 enodes) 3.050 * * [simplify]: Extracting #0: cost 1 inf + 0 3.050 * * [simplify]: Extracting #1: cost 3 inf + 0 3.051 * * [simplify]: Extracting #2: cost 5 inf + 0 3.051 * * [simplify]: Extracting #3: cost 4 inf + 1 3.051 * * [simplify]: Extracting #4: cost 0 inf + 325 3.051 * [simplify]: Simplified to (sqrt (sin phi2)) 3.051 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.051 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 3.051 * [simplify]: Simplifying (sin phi2) 3.051 * * [simplify]: iters left: 1 (2 enodes) 3.051 * * [simplify]: Extracting #0: cost 1 inf + 0 3.051 * * [simplify]: Extracting #1: cost 3 inf + 0 3.051 * * [simplify]: Extracting #2: cost 2 inf + 1 3.052 * * [simplify]: Extracting #3: cost 0 inf + 123 3.052 * [simplify]: Simplified to (sin phi2) 3.052 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.052 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 3.052 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 3.052 * * [simplify]: iters left: 4 (4 enodes) 3.053 * * [simplify]: iters left: 3 (12 enodes) 3.055 * * [simplify]: Extracting #0: cost 1 inf + 0 3.055 * * [simplify]: Extracting #1: cost 3 inf + 0 3.055 * * [simplify]: Extracting #2: cost 5 inf + 0 3.055 * * [simplify]: Extracting #3: cost 7 inf + 0 3.055 * * [simplify]: Extracting #4: cost 6 inf + 1 3.055 * * [simplify]: Extracting #5: cost 0 inf + 767 3.055 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 3.055 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.055 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 3.055 * [simplify]: Simplifying (sqrt (sin phi1)) 3.055 * * [simplify]: iters left: 2 (3 enodes) 3.056 * * [simplify]: iters left: 1 (9 enodes) 3.057 * * [simplify]: Extracting #0: cost 1 inf + 0 3.057 * * [simplify]: Extracting #1: cost 3 inf + 0 3.057 * * [simplify]: Extracting #2: cost 5 inf + 0 3.057 * * [simplify]: Extracting #3: cost 4 inf + 1 3.057 * * [simplify]: Extracting #4: cost 0 inf + 325 3.057 * [simplify]: Simplified to (sqrt (sin phi1)) 3.057 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.058 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 3.058 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))> 3.058 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 3.058 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 3.058 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 3.058 * * [simplify]: iters left: 6 (10 enodes) 3.062 * * [simplify]: iters left: 5 (43 enodes) 3.070 * * [simplify]: iters left: 4 (72 enodes) 3.084 * * [simplify]: iters left: 3 (111 enodes) 3.118 * * [simplify]: iters left: 2 (161 enodes) 3.160 * * [simplify]: iters left: 1 (180 enodes) 3.202 * * [simplify]: Extracting #0: cost 1 inf + 0 3.202 * * [simplify]: Extracting #1: cost 22 inf + 0 3.203 * * [simplify]: Extracting #2: cost 30 inf + 169 3.204 * * [simplify]: Extracting #3: cost 5 inf + 1937 3.206 * * [simplify]: Extracting #4: cost 0 inf + 2412 3.208 * * [simplify]: Extracting #5: cost 0 inf + 2372 3.209 * [simplify]: Simplified to (fma lambda1 (fma -1/2 lambda1 lambda2) 1) 3.209 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (fma lambda1 (fma -1/2 lambda1 lambda2) 1)))) R)) 3.210 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 3.210 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 3.210 * * [simplify]: iters left: 3 (4 enodes) 3.212 * * [simplify]: iters left: 2 (14 enodes) 3.216 * * [simplify]: iters left: 1 (17 enodes) 3.221 * * [simplify]: Extracting #0: cost 1 inf + 0 3.221 * * [simplify]: Extracting #1: cost 3 inf + 0 3.221 * * [simplify]: Extracting #2: cost 7 inf + 0 3.221 * * [simplify]: Extracting #3: cost 5 inf + 43 3.221 * * [simplify]: Extracting #4: cost 0 inf + 372 3.221 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 3.221 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.221 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 3.222 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 3.222 * * [simplify]: iters left: 3 (4 enodes) 3.224 * * [simplify]: iters left: 2 (14 enodes) 3.227 * * [simplify]: iters left: 1 (17 enodes) 3.232 * * [simplify]: Extracting #0: cost 1 inf + 0 3.232 * * [simplify]: Extracting #1: cost 3 inf + 0 3.232 * * [simplify]: Extracting #2: cost 7 inf + 0 3.232 * * [simplify]: Extracting #3: cost 5 inf + 43 3.233 * * [simplify]: Extracting #4: cost 0 inf + 372 3.233 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 3.233 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.233 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 3.233 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 3.233 * * [simplify]: iters left: 6 (15 enodes) 3.240 * * [simplify]: iters left: 5 (54 enodes) 3.250 * * [simplify]: iters left: 4 (69 enodes) 3.259 * * [simplify]: iters left: 3 (74 enodes) 3.269 * * [simplify]: Extracting #0: cost 1 inf + 0 3.269 * * [simplify]: Extracting #1: cost 3 inf + 0 3.269 * * [simplify]: Extracting #2: cost 12 inf + 0 3.269 * * [simplify]: Extracting #3: cost 24 inf + 0 3.269 * * [simplify]: Extracting #4: cost 21 inf + 347 3.270 * * [simplify]: Extracting #5: cost 18 inf + 976 3.270 * * [simplify]: Extracting #6: cost 12 inf + 2067 3.271 * * [simplify]: Extracting #7: cost 2 inf + 4620 3.272 * * [simplify]: Extracting #8: cost 0 inf + 5026 3.272 * [simplify]: Simplified to (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3.272 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.273 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 3.273 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 3.273 * * [simplify]: iters left: 6 (15 enodes) 3.276 * * [simplify]: iters left: 5 (54 enodes) 3.284 * * [simplify]: iters left: 4 (69 enodes) 3.293 * * [simplify]: iters left: 3 (74 enodes) 3.302 * * [simplify]: Extracting #0: cost 1 inf + 0 3.302 * * [simplify]: Extracting #1: cost 3 inf + 0 3.302 * * [simplify]: Extracting #2: cost 12 inf + 0 3.302 * * [simplify]: Extracting #3: cost 24 inf + 0 3.302 * * [simplify]: Extracting #4: cost 21 inf + 347 3.303 * * [simplify]: Extracting #5: cost 18 inf + 976 3.303 * * [simplify]: Extracting #6: cost 12 inf + 2067 3.304 * * [simplify]: Extracting #7: cost 2 inf + 4620 3.304 * * [simplify]: Extracting #8: cost 0 inf + 5026 3.305 * [simplify]: Simplified to (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3.305 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.305 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 3.306 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 3.306 * * [simplify]: iters left: 6 (15 enodes) 3.309 * * [simplify]: iters left: 5 (54 enodes) 3.317 * * [simplify]: iters left: 4 (69 enodes) 3.326 * * [simplify]: iters left: 3 (74 enodes) 3.334 * * [simplify]: Extracting #0: cost 1 inf + 0 3.334 * * [simplify]: Extracting #1: cost 3 inf + 0 3.334 * * [simplify]: Extracting #2: cost 12 inf + 0 3.334 * * [simplify]: Extracting #3: cost 24 inf + 0 3.335 * * [simplify]: Extracting #4: cost 21 inf + 347 3.335 * * [simplify]: Extracting #5: cost 18 inf + 976 3.335 * * [simplify]: Extracting #6: cost 12 inf + 2067 3.336 * * [simplify]: Extracting #7: cost 2 inf + 4620 3.337 * * [simplify]: Extracting #8: cost 0 inf + 5026 3.337 * [simplify]: Simplified to (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3.337 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.338 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 3.338 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 3.338 * * [simplify]: iters left: 6 (17 enodes) 3.343 * * [simplify]: iters left: 5 (61 enodes) 3.351 * * [simplify]: iters left: 4 (76 enodes) 3.361 * * [simplify]: iters left: 3 (81 enodes) 3.371 * * [simplify]: Extracting #0: cost 1 inf + 0 3.371 * * [simplify]: Extracting #1: cost 4 inf + 0 3.371 * * [simplify]: Extracting #2: cost 5 inf + 1 3.371 * * [simplify]: Extracting #3: cost 14 inf + 1 3.371 * * [simplify]: Extracting #4: cost 26 inf + 1 3.371 * * [simplify]: Extracting #5: cost 23 inf + 348 3.372 * * [simplify]: Extracting #6: cost 19 inf + 1139 3.372 * * [simplify]: Extracting #7: cost 12 inf + 2151 3.373 * * [simplify]: Extracting #8: cost 1 inf + 5637 3.374 * * [simplify]: Extracting #9: cost 0 inf + 6247 3.375 * [simplify]: Simplified to (* R (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 3.375 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) 3.375 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 3.375 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 3.375 * * [simplify]: iters left: 6 (17 enodes) 3.381 * * [simplify]: iters left: 5 (61 enodes) 3.398 * * [simplify]: iters left: 4 (76 enodes) 3.418 * * [simplify]: iters left: 3 (81 enodes) 3.437 * * [simplify]: Extracting #0: cost 1 inf + 0 3.437 * * [simplify]: Extracting #1: cost 4 inf + 0 3.437 * * [simplify]: Extracting #2: cost 5 inf + 1 3.437 * * [simplify]: Extracting #3: cost 14 inf + 1 3.437 * * [simplify]: Extracting #4: cost 26 inf + 1 3.438 * * [simplify]: Extracting #5: cost 23 inf + 348 3.438 * * [simplify]: Extracting #6: cost 19 inf + 1139 3.439 * * [simplify]: Extracting #7: cost 12 inf + 2151 3.440 * * [simplify]: Extracting #8: cost 1 inf + 5637 3.442 * * [simplify]: Extracting #9: cost 0 inf + 6247 3.444 * [simplify]: Simplified to (* R (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 3.444 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) 3.444 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 3.444 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 3.445 * * [simplify]: iters left: 6 (17 enodes) 3.452 * * [simplify]: iters left: 5 (61 enodes) 3.470 * * [simplify]: iters left: 4 (76 enodes) 3.487 * * [simplify]: iters left: 3 (81 enodes) 3.497 * * [simplify]: Extracting #0: cost 1 inf + 0 3.497 * * [simplify]: Extracting #1: cost 4 inf + 0 3.497 * * [simplify]: Extracting #2: cost 5 inf + 1 3.497 * * [simplify]: Extracting #3: cost 14 inf + 1 3.497 * * [simplify]: Extracting #4: cost 26 inf + 1 3.498 * * [simplify]: Extracting #5: cost 23 inf + 348 3.498 * * [simplify]: Extracting #6: cost 19 inf + 1139 3.498 * * [simplify]: Extracting #7: cost 12 inf + 2151 3.499 * * [simplify]: Extracting #8: cost 1 inf + 5637 3.500 * * [simplify]: Extracting #9: cost 0 inf + 6247 3.501 * [simplify]: Simplified to (* R (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 3.501 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (sin phi1) (sin phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) 3.501 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 3.501 * [simplify]: Simplifying (* phi1 phi2) 3.501 * * [simplify]: iters left: 2 (3 enodes) 3.502 * * [simplify]: iters left: 1 (10 enodes) 3.503 * * [simplify]: Extracting #0: cost 1 inf + 0 3.503 * * [simplify]: Extracting #1: cost 4 inf + 0 3.503 * * [simplify]: Extracting #2: cost 2 inf + 2 3.503 * * [simplify]: Extracting #3: cost 0 inf + 86 3.503 * [simplify]: Simplified to (* phi1 phi2) 3.503 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.503 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 3.504 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 3.504 * * [simplify]: iters left: 3 (5 enodes) 3.505 * * [simplify]: iters left: 2 (16 enodes) 3.507 * * [simplify]: Extracting #0: cost 1 inf + 0 3.507 * * [simplify]: Extracting #1: cost 4 inf + 0 3.507 * * [simplify]: Extracting #2: cost 8 inf + 0 3.507 * * [simplify]: Extracting #3: cost 4 inf + 124 3.507 * * [simplify]: Extracting #4: cost 0 inf + 570 3.507 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 3.507 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.507 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 3.507 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 3.507 * * [simplify]: iters left: 3 (5 enodes) 3.508 * * [simplify]: iters left: 2 (16 enodes) 3.510 * * [simplify]: Extracting #0: cost 1 inf + 0 3.510 * * [simplify]: Extracting #1: cost 4 inf + 0 3.510 * * [simplify]: Extracting #2: cost 8 inf + 0 3.510 * * [simplify]: Extracting #3: cost 4 inf + 124 3.511 * * [simplify]: Extracting #4: cost 0 inf + 570 3.511 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 3.511 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.511 * * * [progress]: adding candidates to table 5.160 * * [progress]: iteration 2 / 4 5.160 * * * [progress]: picking best candidate 5.336 * * * * [pick]: Picked # 5.336 * * * [progress]: localizing error 5.429 * * * [progress]: generating rewritten candidates 5.429 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.433 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.445 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 5.458 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) 5.471 * * * [progress]: generating series expansions 5.471 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.472 * [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))))) 5.472 * [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 5.472 * [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 5.472 * [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))))) 5.472 * [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 5.472 * [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))))) 5.472 * [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 5.473 * [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))))) 5.473 * [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 5.473 * [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))))) 5.473 * [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 5.473 * [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))))) 5.473 * [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 5.474 * [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))))) 5.474 * [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 5.474 * [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))))) 5.474 * [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 5.474 * [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))))) 5.475 * [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))))) 5.475 * [taylor]: Taking taylor expansion of 0 in phi2 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda1 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda2 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda1 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda2 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda2 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in phi2 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda1 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda2 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda1 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [taylor]: Taking taylor expansion of 0 in lambda2 5.475 * [backup-simplify]: Simplify 0 into 0 5.475 * [backup-simplify]: Simplify 0 into 0 5.476 * [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))))) 5.476 * [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)))))))) 5.476 * [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 5.476 * [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 5.477 * [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)))))))) 5.477 * [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 lambda1 5.477 * [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)))))))) 5.478 * [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 5.478 * [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)))))))) 5.478 * [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 phi1 5.479 * [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)))))))) 5.479 * [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 phi1 5.480 * [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)))))))) 5.480 * [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 5.481 * [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)))))))) 5.481 * [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 lambda1 5.482 * [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)))))))) 5.482 * [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 lambda2 5.483 * [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)))))))) 5.483 * [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)))))))) 5.484 * [taylor]: Taking taylor expansion of 0 in phi2 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda1 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda2 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda1 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda2 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda2 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in phi2 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda1 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda2 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda1 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [taylor]: Taking taylor expansion of 0 in lambda2 5.484 * [backup-simplify]: Simplify 0 into 0 5.484 * [backup-simplify]: Simplify 0 into 0 5.485 * [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))))) 5.486 * [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)))))))) 5.486 * [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 5.486 * [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 5.487 * [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)))))))) 5.487 * [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 5.488 * [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)))))))) 5.488 * [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 5.489 * [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)))))))) 5.489 * [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 5.490 * [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)))))))) 5.490 * [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 5.490 * [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)))))))) 5.491 * [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 5.492 * [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)))))))) 5.492 * [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 5.492 * [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)))))))) 5.492 * [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 5.493 * [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 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)))))))) 5.493 * [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)))))))) 5.493 * [taylor]: Taking taylor expansion of 0 in phi2 5.493 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda1 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda2 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda1 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda2 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda2 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in phi2 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda1 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda2 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda1 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [taylor]: Taking taylor expansion of 0 in lambda2 5.494 * [backup-simplify]: Simplify 0 into 0 5.494 * [backup-simplify]: Simplify 0 into 0 5.495 * [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))))) 5.495 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.495 * [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)))))) 5.495 * [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 5.495 * [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 5.495 * [taylor]: Taking taylor expansion of R in R 5.495 * [backup-simplify]: Simplify 0 into 0 5.495 * [backup-simplify]: Simplify 1 into 1 5.495 * [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 5.495 * [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))))) 5.495 * [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 5.495 * [taylor]: Taking taylor expansion of R in lambda2 5.495 * [backup-simplify]: Simplify R into R 5.495 * [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 5.496 * [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))))) 5.496 * [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 5.496 * [taylor]: Taking taylor expansion of R in lambda1 5.496 * [backup-simplify]: Simplify R into R 5.496 * [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 5.496 * [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))))) 5.496 * [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 5.496 * [taylor]: Taking taylor expansion of R in phi2 5.496 * [backup-simplify]: Simplify R into R 5.496 * [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 5.496 * [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))))) 5.496 * [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 5.497 * [taylor]: Taking taylor expansion of R in phi1 5.497 * [backup-simplify]: Simplify R into R 5.497 * [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 5.497 * [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))))) 5.497 * [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 5.497 * [taylor]: Taking taylor expansion of R in phi1 5.497 * [backup-simplify]: Simplify R into R 5.497 * [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 5.497 * [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))))) 5.498 * [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)))))) 5.498 * [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 5.498 * [taylor]: Taking taylor expansion of R in phi2 5.498 * [backup-simplify]: Simplify R into R 5.498 * [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 5.498 * [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))))) 5.498 * [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)))))) 5.498 * [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 5.498 * [taylor]: Taking taylor expansion of R in lambda1 5.498 * [backup-simplify]: Simplify R into R 5.498 * [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 5.499 * [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))))) 5.499 * [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)))))) 5.499 * [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 5.499 * [taylor]: Taking taylor expansion of R in lambda2 5.499 * [backup-simplify]: Simplify R into R 5.499 * [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 5.499 * [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))))) 5.500 * [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)))))) 5.500 * [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 5.500 * [taylor]: Taking taylor expansion of R in R 5.500 * [backup-simplify]: Simplify 0 into 0 5.500 * [backup-simplify]: Simplify 1 into 1 5.500 * [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 5.500 * [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))))) 5.503 * [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 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [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 5.503 * [taylor]: Taking taylor expansion of 0 in phi2 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [taylor]: Taking taylor expansion of 0 in lambda1 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [taylor]: Taking taylor expansion of 0 in lambda2 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [taylor]: Taking taylor expansion of 0 in R 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [backup-simplify]: Simplify 0 into 0 5.503 * [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 5.504 * [taylor]: Taking taylor expansion of 0 in lambda1 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [taylor]: Taking taylor expansion of 0 in lambda2 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [taylor]: Taking taylor expansion of 0 in R 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [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 5.504 * [taylor]: Taking taylor expansion of 0 in lambda2 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [taylor]: Taking taylor expansion of 0 in R 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [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 5.504 * [taylor]: Taking taylor expansion of 0 in R 5.504 * [backup-simplify]: Simplify 0 into 0 5.504 * [backup-simplify]: Simplify 0 into 0 5.505 * [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))))) 5.506 * [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))))) 5.506 * [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 5.506 * [taylor]: Taking taylor expansion of 0 in phi2 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [taylor]: Taking taylor expansion of 0 in lambda1 5.506 * [backup-simplify]: Simplify 0 into 0 5.506 * [taylor]: Taking taylor expansion of 0 in lambda2 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [taylor]: Taking taylor expansion of 0 in R 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [taylor]: Taking taylor expansion of 0 in lambda1 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [taylor]: Taking taylor expansion of 0 in lambda2 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [taylor]: Taking taylor expansion of 0 in R 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [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 5.507 * [taylor]: Taking taylor expansion of 0 in lambda1 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [taylor]: Taking taylor expansion of 0 in lambda2 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [taylor]: Taking taylor expansion of 0 in R 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [backup-simplify]: Simplify 0 into 0 5.507 * [taylor]: Taking taylor expansion of 0 in lambda2 5.507 * [backup-simplify]: Simplify 0 into 0 5.508 * [taylor]: Taking taylor expansion of 0 in R 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [taylor]: Taking taylor expansion of 0 in lambda2 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [taylor]: Taking taylor expansion of 0 in R 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [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 5.508 * [taylor]: Taking taylor expansion of 0 in lambda2 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [taylor]: Taking taylor expansion of 0 in R 5.508 * [backup-simplify]: Simplify 0 into 0 5.508 * [backup-simplify]: Simplify 0 into 0 5.509 * [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)))))) 5.510 * [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) 5.510 * [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 5.510 * [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 R 5.510 * [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 R 5.510 * [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)))))))) 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)))))))) 5.510 * [taylor]: Taking taylor expansion of R in R 5.510 * [backup-simplify]: Simplify 0 into 0 5.510 * [backup-simplify]: Simplify 1 into 1 5.511 * [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)))))))) 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)))))))) 5.511 * [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 lambda2 5.511 * [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)))))))) in lambda2 5.511 * [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)))))))) 5.511 * [taylor]: Taking taylor expansion of R in lambda2 5.511 * [backup-simplify]: Simplify R into R 5.512 * [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)))))))) 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) 5.512 * [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)))))))) R) in lambda1 5.512 * [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 lambda1 5.512 * [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)))))))) 5.512 * [taylor]: Taking taylor expansion of R in lambda1 5.512 * [backup-simplify]: Simplify R into R 5.513 * [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) 5.513 * [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 phi2 5.513 * [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 phi2 5.513 * [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)))))))) 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)))))))) 5.513 * [taylor]: Taking taylor expansion of R in phi2 5.513 * [backup-simplify]: Simplify R into R 5.514 * [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)))))))) 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) 5.514 * [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 5.514 * [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 5.514 * [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)))))))) 5.514 * [taylor]: Taking taylor expansion of R in phi1 5.514 * [backup-simplify]: Simplify R into R 5.515 * [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) 5.515 * [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 5.515 * [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 5.515 * [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)))))))) 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)))))))) 5.515 * [taylor]: Taking taylor expansion of R in phi1 5.515 * [backup-simplify]: Simplify R into R 5.516 * [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)))))))) 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) 5.516 * [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 5.516 * [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 5.516 * [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)))))))) 5.516 * [taylor]: Taking taylor expansion of R in phi2 5.516 * [backup-simplify]: Simplify R into R 5.517 * [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) 5.517 * [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 lambda1 5.517 * [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 lambda1 5.517 * [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)))))))) 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)))))))) 5.517 * [taylor]: Taking taylor expansion of R in lambda1 5.517 * [backup-simplify]: Simplify R into R 5.517 * [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) 5.518 * [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 5.518 * [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 5.518 * [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)))))))) 5.518 * [taylor]: Taking taylor expansion of R in lambda2 5.518 * [backup-simplify]: Simplify R into R 5.518 * [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) 5.519 * [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 R 5.519 * [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 R 5.519 * [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)))))))) 5.519 * [taylor]: Taking taylor expansion of R in R 5.519 * [backup-simplify]: Simplify 0 into 0 5.519 * [backup-simplify]: Simplify 1 into 1 5.519 * [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)))))))) 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)))))))) 5.520 * [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)))))))) 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)))))))) 5.521 * [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 5.521 * [taylor]: Taking taylor expansion of 0 in phi2 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [taylor]: Taking taylor expansion of 0 in lambda1 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [taylor]: Taking taylor expansion of 0 in lambda2 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [taylor]: Taking taylor expansion of 0 in R 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [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 5.521 * [taylor]: Taking taylor expansion of 0 in lambda1 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [taylor]: Taking taylor expansion of 0 in lambda2 5.521 * [backup-simplify]: Simplify 0 into 0 5.521 * [taylor]: Taking taylor expansion of 0 in R 5.521 * [backup-simplify]: Simplify 0 into 0 5.522 * [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 5.522 * [taylor]: Taking taylor expansion of 0 in lambda2 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [taylor]: Taking taylor expansion of 0 in R 5.522 * [backup-simplify]: Simplify 0 into 0 5.522 * [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 5.522 * [taylor]: Taking taylor expansion of 0 in R 5.522 * [backup-simplify]: Simplify 0 into 0 5.524 * [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 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [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 5.524 * [taylor]: Taking taylor expansion of 0 in phi2 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [taylor]: Taking taylor expansion of 0 in lambda1 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [taylor]: Taking taylor expansion of 0 in lambda2 5.524 * [backup-simplify]: Simplify 0 into 0 5.524 * [taylor]: Taking taylor expansion of 0 in R 5.524 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in lambda1 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in lambda2 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in R 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [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 5.525 * [taylor]: Taking taylor expansion of 0 in lambda1 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in lambda2 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in R 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in lambda2 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in R 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in lambda2 5.525 * [backup-simplify]: Simplify 0 into 0 5.525 * [taylor]: Taking taylor expansion of 0 in R 5.525 * [backup-simplify]: Simplify 0 into 0 5.526 * [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 5.526 * [taylor]: Taking taylor expansion of 0 in lambda2 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [taylor]: Taking taylor expansion of 0 in R 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [taylor]: Taking taylor expansion of 0 in R 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [taylor]: Taking taylor expansion of 0 in R 5.526 * [backup-simplify]: Simplify 0 into 0 5.526 * [taylor]: Taking taylor expansion of 0 in R 5.526 * [backup-simplify]: Simplify 0 into 0 5.527 * [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 5.527 * [taylor]: Taking taylor expansion of 0 in R 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.527 * [backup-simplify]: Simplify 0 into 0 5.529 * [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 5.529 * [backup-simplify]: Simplify 0 into 0 5.530 * [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) 5.531 * [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)) 5.531 * [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 5.531 * [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 5.531 * [taylor]: Taking taylor expansion of -1 in R 5.531 * [backup-simplify]: Simplify -1 into -1 5.531 * [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 5.531 * [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 5.532 * [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)))))))) 5.532 * [taylor]: Taking taylor expansion of R in R 5.532 * [backup-simplify]: Simplify 0 into 0 5.532 * [backup-simplify]: Simplify 1 into 1 5.533 * [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)))))))) 5.533 * [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 5.533 * [taylor]: Taking taylor expansion of -1 in lambda2 5.533 * [backup-simplify]: Simplify -1 into -1 5.533 * [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 5.533 * [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 5.534 * [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)))))))) 5.534 * [taylor]: Taking taylor expansion of R in lambda2 5.534 * [backup-simplify]: Simplify R into R 5.535 * [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) 5.535 * [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 5.535 * [taylor]: Taking taylor expansion of -1 in lambda1 5.535 * [backup-simplify]: Simplify -1 into -1 5.535 * [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 5.535 * [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 5.536 * [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)))))))) 5.536 * [taylor]: Taking taylor expansion of R in lambda1 5.536 * [backup-simplify]: Simplify R into R 5.537 * [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 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) 5.537 * [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 phi2 5.537 * [taylor]: Taking taylor expansion of -1 in phi2 5.537 * [backup-simplify]: Simplify -1 into -1 5.537 * [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 phi2 5.537 * [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 phi2 5.538 * [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)))))))) 5.538 * [taylor]: Taking taylor expansion of R in phi2 5.538 * [backup-simplify]: Simplify R into R 5.539 * [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) 5.539 * [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 phi1 5.539 * [taylor]: Taking taylor expansion of -1 in phi1 5.539 * [backup-simplify]: Simplify -1 into -1 5.539 * [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 phi1 5.539 * [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 phi1 5.540 * [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)))))))) 5.540 * [taylor]: Taking taylor expansion of R in phi1 5.540 * [backup-simplify]: Simplify R into R 5.540 * [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) 5.540 * [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 phi1 5.541 * [taylor]: Taking taylor expansion of -1 in phi1 5.541 * [backup-simplify]: Simplify -1 into -1 5.541 * [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 5.541 * [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 5.541 * [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)))))))) 5.541 * [taylor]: Taking taylor expansion of R in phi1 5.541 * [backup-simplify]: Simplify R into R 5.542 * [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) 5.543 * [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)) 5.543 * [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 5.543 * [taylor]: Taking taylor expansion of -1 in phi2 5.543 * [backup-simplify]: Simplify -1 into -1 5.543 * [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 5.543 * [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 5.544 * [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)))))))) 5.544 * [taylor]: Taking taylor expansion of R in phi2 5.544 * [backup-simplify]: Simplify R into R 5.545 * [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)))))))) 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) 5.546 * [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 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)) 5.546 * [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 phi2)) (cos (/ -1 lambda2)))))))) R)) in lambda1 5.546 * [taylor]: Taking taylor expansion of -1 in lambda1 5.546 * [backup-simplify]: Simplify -1 into -1 5.546 * [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 phi2)) (cos (/ -1 lambda2)))))))) R) in lambda1 5.546 * [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 phi2)) (cos (/ -1 lambda2)))))))) in lambda1 5.547 * [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)))))))) 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)))))))) 5.547 * [taylor]: Taking taylor expansion of R in lambda1 5.547 * [backup-simplify]: Simplify R into R 5.548 * [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)))))))) 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) 5.549 * [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)))))))) 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)) 5.549 * [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 5.549 * [taylor]: Taking taylor expansion of -1 in lambda2 5.549 * [backup-simplify]: Simplify -1 into -1 5.549 * [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 5.549 * [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 5.550 * [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)))))))) 5.550 * [taylor]: Taking taylor expansion of R in lambda2 5.550 * [backup-simplify]: Simplify R into R 5.551 * [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) 5.552 * [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)) 5.552 * [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 5.552 * [taylor]: Taking taylor expansion of -1 in R 5.552 * [backup-simplify]: Simplify -1 into -1 5.552 * [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 5.552 * [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 5.553 * [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)))))))) 5.553 * [taylor]: Taking taylor expansion of R in R 5.553 * [backup-simplify]: Simplify 0 into 0 5.553 * [backup-simplify]: Simplify 1 into 1 5.554 * [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)))))))) 5.555 * [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))))))))) 5.556 * [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))))))))) 5.557 * [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 5.558 * [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)))))))) R))) into 0 5.558 * [taylor]: Taking taylor expansion of 0 in phi2 5.558 * [backup-simplify]: Simplify 0 into 0 5.559 * [taylor]: Taking taylor expansion of 0 in lambda1 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [taylor]: Taking taylor expansion of 0 in lambda2 5.559 * [backup-simplify]: Simplify 0 into 0 5.559 * [taylor]: Taking taylor expansion of 0 in R 5.559 * [backup-simplify]: Simplify 0 into 0 5.560 * [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 5.561 * [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 5.561 * [taylor]: Taking taylor expansion of 0 in lambda1 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [taylor]: Taking taylor expansion of 0 in lambda2 5.561 * [backup-simplify]: Simplify 0 into 0 5.561 * [taylor]: Taking taylor expansion of 0 in R 5.561 * [backup-simplify]: Simplify 0 into 0 5.562 * [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 phi2)) (cos (/ -1 lambda2)))))))) R) (/ 0 R)))) into 0 5.564 * [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 5.564 * [taylor]: Taking taylor expansion of 0 in lambda2 5.564 * [backup-simplify]: Simplify 0 into 0 5.564 * [taylor]: Taking taylor expansion of 0 in R 5.564 * [backup-simplify]: Simplify 0 into 0 5.565 * [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 5.567 * [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 5.567 * [taylor]: Taking taylor expansion of 0 in R 5.567 * [backup-simplify]: Simplify 0 into 0 5.569 * [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 5.570 * [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 5.570 * [backup-simplify]: Simplify 0 into 0 5.571 * [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 5.573 * [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 5.573 * [taylor]: Taking taylor expansion of 0 in phi2 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [taylor]: Taking taylor expansion of 0 in lambda1 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [taylor]: Taking taylor expansion of 0 in lambda2 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [taylor]: Taking taylor expansion of 0 in R 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [taylor]: Taking taylor expansion of 0 in lambda1 5.573 * [backup-simplify]: Simplify 0 into 0 5.573 * [taylor]: Taking taylor expansion of 0 in lambda2 5.573 * [backup-simplify]: Simplify 0 into 0 5.574 * [taylor]: Taking taylor expansion of 0 in R 5.574 * [backup-simplify]: Simplify 0 into 0 5.574 * [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 5.576 * [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 5.576 * [taylor]: Taking taylor expansion of 0 in lambda1 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [taylor]: Taking taylor expansion of 0 in lambda2 5.576 * [backup-simplify]: Simplify 0 into 0 5.576 * [taylor]: Taking taylor expansion of 0 in R 5.576 * [backup-simplify]: Simplify 0 into 0 5.577 * [taylor]: Taking taylor expansion of 0 in lambda2 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [taylor]: Taking taylor expansion of 0 in R 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [taylor]: Taking taylor expansion of 0 in lambda2 5.577 * [backup-simplify]: Simplify 0 into 0 5.577 * [taylor]: Taking taylor expansion of 0 in R 5.577 * [backup-simplify]: Simplify 0 into 0 5.578 * [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 5.580 * [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 5.580 * [taylor]: Taking taylor expansion of 0 in lambda2 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [taylor]: Taking taylor expansion of 0 in R 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [taylor]: Taking taylor expansion of 0 in R 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [taylor]: Taking taylor expansion of 0 in R 5.580 * [backup-simplify]: Simplify 0 into 0 5.580 * [taylor]: Taking taylor expansion of 0 in R 5.580 * [backup-simplify]: Simplify 0 into 0 5.581 * [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 5.583 * [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 5.583 * [taylor]: Taking taylor expansion of 0 in R 5.583 * [backup-simplify]: Simplify 0 into 0 5.583 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.584 * [backup-simplify]: Simplify 0 into 0 5.586 * [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 5.588 * [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 5.588 * [backup-simplify]: Simplify 0 into 0 5.589 * [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)))))) 5.590 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 5.590 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 5.590 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 5.590 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 5.590 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 5.590 * [taylor]: Taking taylor expansion of phi1 in phi2 5.590 * [backup-simplify]: Simplify phi1 into phi1 5.590 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 5.590 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 5.590 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.590 * [taylor]: Taking taylor expansion of phi2 in phi2 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 5.590 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 5.590 * [taylor]: Taking taylor expansion of phi1 in phi1 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 5.590 * [taylor]: Taking taylor expansion of phi2 in phi1 5.590 * [backup-simplify]: Simplify phi2 into phi2 5.590 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 5.590 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 5.590 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 5.590 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 5.590 * [taylor]: Taking taylor expansion of phi1 in phi1 5.590 * [backup-simplify]: Simplify 0 into 0 5.590 * [backup-simplify]: Simplify 1 into 1 5.590 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 5.591 * [taylor]: Taking taylor expansion of phi2 in phi1 5.591 * [backup-simplify]: Simplify phi2 into phi2 5.591 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 5.591 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 5.591 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 5.591 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 5.591 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 5.591 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 5.591 * [taylor]: Taking taylor expansion of 0 in phi2 5.591 * [backup-simplify]: Simplify 0 into 0 5.591 * [backup-simplify]: Simplify 0 into 0 5.592 * [backup-simplify]: Simplify (+ 0) into 0 5.592 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 5.593 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.593 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 5.594 * [backup-simplify]: Simplify (+ 0 0) into 0 5.594 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.595 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 5.595 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.595 * [taylor]: Taking taylor expansion of phi2 in phi2 5.595 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify 1 into 1 5.595 * [backup-simplify]: Simplify 0 into 0 5.595 * [backup-simplify]: Simplify 0 into 0 5.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.596 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 5.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.598 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 5.598 * [backup-simplify]: Simplify (+ 0 0) into 0 5.599 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 5.600 * [taylor]: Taking taylor expansion of 0 in phi2 5.600 * [backup-simplify]: Simplify 0 into 0 5.600 * [backup-simplify]: Simplify 0 into 0 5.601 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.601 * [backup-simplify]: Simplify 1 into 1 5.601 * [backup-simplify]: Simplify 0 into 0 5.602 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.603 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.604 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.605 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.605 * [backup-simplify]: Simplify (+ 0 0) into 0 5.607 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.608 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 5.608 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 5.608 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 5.608 * [taylor]: Taking taylor expansion of 1/6 in phi2 5.608 * [backup-simplify]: Simplify 1/6 into 1/6 5.609 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.609 * [taylor]: Taking taylor expansion of phi2 in phi2 5.609 * [backup-simplify]: Simplify 0 into 0 5.609 * [backup-simplify]: Simplify 1 into 1 5.609 * [backup-simplify]: Simplify (* 1/6 0) into 0 5.609 * [backup-simplify]: Simplify (- 0) into 0 5.609 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.610 * [backup-simplify]: Simplify 0 into 0 5.610 * [backup-simplify]: Simplify 0 into 0 5.613 * [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 5.615 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.616 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.617 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 5.617 * [backup-simplify]: Simplify (+ 0 0) into 0 5.621 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.623 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 5.623 * [taylor]: Taking taylor expansion of 0 in phi2 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 5.624 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.624 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 5.624 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 5.624 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 5.624 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 5.624 * [taylor]: Taking taylor expansion of phi2 in phi2 5.624 * [backup-simplify]: Simplify 0 into 0 5.624 * [backup-simplify]: Simplify 1 into 1 5.624 * [backup-simplify]: Simplify (/ 1 1) into 1 5.625 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.625 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 5.625 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 5.625 * [taylor]: Taking taylor expansion of phi1 in phi2 5.625 * [backup-simplify]: Simplify phi1 into phi1 5.625 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 5.625 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.625 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 5.625 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 5.625 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 5.625 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 5.625 * [taylor]: Taking taylor expansion of phi2 in phi1 5.625 * [backup-simplify]: Simplify phi2 into phi2 5.625 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 5.625 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.625 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 5.625 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 5.625 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 5.625 * [taylor]: Taking taylor expansion of phi1 in phi1 5.625 * [backup-simplify]: Simplify 0 into 0 5.625 * [backup-simplify]: Simplify 1 into 1 5.626 * [backup-simplify]: Simplify (/ 1 1) into 1 5.626 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.626 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 5.626 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 5.626 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 5.626 * [taylor]: Taking taylor expansion of phi2 in phi1 5.626 * [backup-simplify]: Simplify phi2 into phi2 5.626 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 5.626 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.626 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 5.626 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 5.626 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 5.626 * [taylor]: Taking taylor expansion of phi1 in phi1 5.626 * [backup-simplify]: Simplify 0 into 0 5.626 * [backup-simplify]: Simplify 1 into 1 5.627 * [backup-simplify]: Simplify (/ 1 1) into 1 5.627 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.627 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 5.627 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 5.627 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 5.627 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.627 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 5.627 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 5.627 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 5.627 * [taylor]: Taking taylor expansion of phi2 in phi2 5.627 * [backup-simplify]: Simplify 0 into 0 5.627 * [backup-simplify]: Simplify 1 into 1 5.628 * [backup-simplify]: Simplify (/ 1 1) into 1 5.628 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.628 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 5.628 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 5.628 * [taylor]: Taking taylor expansion of phi1 in phi2 5.628 * [backup-simplify]: Simplify phi1 into phi1 5.628 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 5.628 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.628 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 5.628 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 5.628 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 5.629 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 5.629 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.629 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.629 * [backup-simplify]: Simplify (+ 0) into 0 5.630 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 5.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 5.631 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 5.632 * [backup-simplify]: Simplify (+ 0 0) into 0 5.632 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 5.632 * [taylor]: Taking taylor expansion of 0 in phi2 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify 0 into 0 5.632 * [backup-simplify]: Simplify (+ 0) into 0 5.633 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 5.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 5.634 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.634 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 5.635 * [backup-simplify]: Simplify (+ 0 0) into 0 5.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 5.635 * [backup-simplify]: Simplify 0 into 0 5.636 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.636 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.637 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.638 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.638 * [backup-simplify]: Simplify (+ 0 0) into 0 5.639 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 5.639 * [taylor]: Taking taylor expansion of 0 in phi2 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.639 * [backup-simplify]: Simplify 0 into 0 5.640 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.640 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 5.641 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.642 * [backup-simplify]: Simplify (+ 0 0) into 0 5.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 5.643 * [backup-simplify]: Simplify 0 into 0 5.644 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.645 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.646 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.647 * [backup-simplify]: Simplify (+ 0 0) into 0 5.648 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 5.648 * [taylor]: Taking taylor expansion of 0 in phi2 5.648 * [backup-simplify]: Simplify 0 into 0 5.648 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 5.649 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.649 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 5.649 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 5.649 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 5.649 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 5.649 * [taylor]: Taking taylor expansion of -1 in phi2 5.649 * [backup-simplify]: Simplify -1 into -1 5.649 * [taylor]: Taking taylor expansion of phi1 in phi2 5.649 * [backup-simplify]: Simplify phi1 into phi1 5.649 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 5.649 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.649 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 5.649 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 5.649 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 5.649 * [taylor]: Taking taylor expansion of -1 in phi2 5.649 * [backup-simplify]: Simplify -1 into -1 5.649 * [taylor]: Taking taylor expansion of phi2 in phi2 5.649 * [backup-simplify]: Simplify 0 into 0 5.649 * [backup-simplify]: Simplify 1 into 1 5.650 * [backup-simplify]: Simplify (/ -1 1) into -1 5.650 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.650 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 5.650 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 5.650 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 5.650 * [taylor]: Taking taylor expansion of -1 in phi1 5.650 * [backup-simplify]: Simplify -1 into -1 5.650 * [taylor]: Taking taylor expansion of phi1 in phi1 5.650 * [backup-simplify]: Simplify 0 into 0 5.650 * [backup-simplify]: Simplify 1 into 1 5.651 * [backup-simplify]: Simplify (/ -1 1) into -1 5.651 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.651 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 5.651 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 5.651 * [taylor]: Taking taylor expansion of -1 in phi1 5.651 * [backup-simplify]: Simplify -1 into -1 5.651 * [taylor]: Taking taylor expansion of phi2 in phi1 5.651 * [backup-simplify]: Simplify phi2 into phi2 5.651 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 5.651 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.651 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 5.651 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 5.651 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 5.651 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 5.651 * [taylor]: Taking taylor expansion of -1 in phi1 5.651 * [backup-simplify]: Simplify -1 into -1 5.651 * [taylor]: Taking taylor expansion of phi1 in phi1 5.651 * [backup-simplify]: Simplify 0 into 0 5.651 * [backup-simplify]: Simplify 1 into 1 5.652 * [backup-simplify]: Simplify (/ -1 1) into -1 5.652 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.652 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 5.652 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 5.652 * [taylor]: Taking taylor expansion of -1 in phi1 5.652 * [backup-simplify]: Simplify -1 into -1 5.652 * [taylor]: Taking taylor expansion of phi2 in phi1 5.652 * [backup-simplify]: Simplify phi2 into phi2 5.652 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 5.652 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.652 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 5.653 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 5.653 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 5.653 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 5.653 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.653 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 5.653 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 5.653 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 5.653 * [taylor]: Taking taylor expansion of -1 in phi2 5.653 * [backup-simplify]: Simplify -1 into -1 5.653 * [taylor]: Taking taylor expansion of phi1 in phi2 5.653 * [backup-simplify]: Simplify phi1 into phi1 5.653 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 5.653 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.653 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 5.653 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 5.653 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 5.653 * [taylor]: Taking taylor expansion of -1 in phi2 5.653 * [backup-simplify]: Simplify -1 into -1 5.653 * [taylor]: Taking taylor expansion of phi2 in phi2 5.653 * [backup-simplify]: Simplify 0 into 0 5.654 * [backup-simplify]: Simplify 1 into 1 5.654 * [backup-simplify]: Simplify (/ -1 1) into -1 5.654 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.654 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 5.654 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 5.654 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 5.654 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.655 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.655 * [backup-simplify]: Simplify (+ 0) into 0 5.656 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 5.656 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 5.656 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.657 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 5.657 * [backup-simplify]: Simplify (+ 0 0) into 0 5.657 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 5.658 * [taylor]: Taking taylor expansion of 0 in phi2 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify 0 into 0 5.658 * [backup-simplify]: Simplify (+ 0) into 0 5.658 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 5.659 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 5.659 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 5.660 * [backup-simplify]: Simplify (+ 0 0) into 0 5.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 5.660 * [backup-simplify]: Simplify 0 into 0 5.661 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.662 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.662 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.663 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.664 * [backup-simplify]: Simplify (+ 0 0) into 0 5.664 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 5.665 * [taylor]: Taking taylor expansion of 0 in phi2 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 0 into 0 5.665 * [backup-simplify]: Simplify 0 into 0 5.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.666 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.667 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 5.667 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.668 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.668 * [backup-simplify]: Simplify (+ 0 0) into 0 5.669 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 5.669 * [backup-simplify]: Simplify 0 into 0 5.670 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.671 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.671 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.673 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.673 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.674 * [backup-simplify]: Simplify (+ 0 0) into 0 5.675 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 5.675 * [taylor]: Taking taylor expansion of 0 in phi2 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify 0 into 0 5.675 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 5.675 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2) 5.675 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 5.675 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 5.675 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 5.675 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 5.675 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.675 * [backup-simplify]: Simplify lambda1 into lambda1 5.676 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 5.676 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 5.676 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.676 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 5.676 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 5.676 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 5.676 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.676 * [backup-simplify]: Simplify lambda2 into lambda2 5.676 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 5.676 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 5.676 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 5.676 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 5.676 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.676 * [backup-simplify]: Simplify 0 into 0 5.676 * [backup-simplify]: Simplify 1 into 1 5.676 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 5.676 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.676 * [backup-simplify]: Simplify lambda2 into lambda2 5.676 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 5.676 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 5.676 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 5.677 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 5.677 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 5.677 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 5.677 * [taylor]: Taking taylor expansion of 0 in lambda2 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify 0 into 0 5.677 * [backup-simplify]: Simplify (+ 0) into 0 5.678 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 5.678 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.679 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 5.679 * [backup-simplify]: Simplify (+ 0 0) into 0 5.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 5.680 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.680 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.680 * [backup-simplify]: Simplify 0 into 0 5.680 * [backup-simplify]: Simplify 1 into 1 5.680 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify 0 into 0 5.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.682 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 5.683 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.683 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 5.684 * [backup-simplify]: Simplify (+ 0 0) into 0 5.684 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.686 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 5.686 * [taylor]: Taking taylor expansion of 0 in lambda2 5.686 * [backup-simplify]: Simplify 0 into 0 5.686 * [backup-simplify]: Simplify 0 into 0 5.687 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.687 * [backup-simplify]: Simplify 1 into 1 5.687 * [backup-simplify]: Simplify 0 into 0 5.688 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.688 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.691 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.691 * [backup-simplify]: Simplify (+ 0 0) into 0 5.693 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.694 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 5.694 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 5.694 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 5.694 * [taylor]: Taking taylor expansion of 1/6 in lambda2 5.694 * [backup-simplify]: Simplify 1/6 into 1/6 5.694 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.694 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.694 * [backup-simplify]: Simplify 0 into 0 5.694 * [backup-simplify]: Simplify 1 into 1 5.694 * [backup-simplify]: Simplify (* 1/6 0) into 0 5.695 * [backup-simplify]: Simplify (- 0) into 0 5.695 * [backup-simplify]: Simplify 0 into 0 5.695 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.696 * [backup-simplify]: Simplify 0 into 0 5.698 * [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 5.699 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.700 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.701 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 5.702 * [backup-simplify]: Simplify (+ 0 0) into 0 5.703 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 5.705 * [taylor]: Taking taylor expansion of 0 in lambda2 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 5.705 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.705 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 5.705 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 5.705 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 5.705 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 5.705 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.705 * [backup-simplify]: Simplify 0 into 0 5.705 * [backup-simplify]: Simplify 1 into 1 5.705 * [backup-simplify]: Simplify (/ 1 1) into 1 5.706 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.706 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 5.706 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 5.706 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.706 * [backup-simplify]: Simplify lambda1 into lambda1 5.706 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 5.706 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.706 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 5.706 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 5.706 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 5.706 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 5.706 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.706 * [backup-simplify]: Simplify lambda2 into lambda2 5.706 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 5.706 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.706 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 5.706 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 5.706 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 5.706 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.706 * [backup-simplify]: Simplify 0 into 0 5.706 * [backup-simplify]: Simplify 1 into 1 5.707 * [backup-simplify]: Simplify (/ 1 1) into 1 5.707 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.707 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 5.707 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 5.707 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 5.707 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.707 * [backup-simplify]: Simplify lambda2 into lambda2 5.707 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 5.707 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.707 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 5.707 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 5.707 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 5.707 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.707 * [backup-simplify]: Simplify 0 into 0 5.707 * [backup-simplify]: Simplify 1 into 1 5.708 * [backup-simplify]: Simplify (/ 1 1) into 1 5.708 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.708 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 5.708 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 5.708 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 5.708 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.708 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 5.708 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 5.708 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 5.708 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.708 * [backup-simplify]: Simplify 0 into 0 5.708 * [backup-simplify]: Simplify 1 into 1 5.709 * [backup-simplify]: Simplify (/ 1 1) into 1 5.709 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.709 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 5.709 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 5.709 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.709 * [backup-simplify]: Simplify lambda1 into lambda1 5.709 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 5.709 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.709 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 5.709 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 5.709 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 5.709 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 5.709 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.710 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.710 * [backup-simplify]: Simplify (+ 0) into 0 5.710 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 5.711 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 5.711 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.712 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 5.712 * [backup-simplify]: Simplify (+ 0 0) into 0 5.712 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 5.712 * [taylor]: Taking taylor expansion of 0 in lambda2 5.712 * [backup-simplify]: Simplify 0 into 0 5.712 * [backup-simplify]: Simplify 0 into 0 5.713 * [backup-simplify]: Simplify (+ 0) into 0 5.713 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 5.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 5.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.715 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 5.715 * [backup-simplify]: Simplify (+ 0 0) into 0 5.715 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 5.715 * [backup-simplify]: Simplify 0 into 0 5.716 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.717 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.718 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.718 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.719 * [backup-simplify]: Simplify (+ 0 0) into 0 5.719 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 5.719 * [taylor]: Taking taylor expansion of 0 in lambda2 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 0 into 0 5.719 * [backup-simplify]: Simplify 0 into 0 5.720 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.721 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 5.722 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.722 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.723 * [backup-simplify]: Simplify (+ 0 0) into 0 5.723 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 5.723 * [backup-simplify]: Simplify 0 into 0 5.724 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.725 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.727 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.727 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.728 * [backup-simplify]: Simplify (+ 0 0) into 0 5.729 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 5.729 * [taylor]: Taking taylor expansion of 0 in lambda2 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify 0 into 0 5.729 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 5.729 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.729 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 5.729 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 5.729 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 5.729 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 5.729 * [taylor]: Taking taylor expansion of -1 in lambda2 5.729 * [backup-simplify]: Simplify -1 into -1 5.729 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.729 * [backup-simplify]: Simplify lambda1 into lambda1 5.729 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 5.729 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.730 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 5.730 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 5.730 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 5.730 * [taylor]: Taking taylor expansion of -1 in lambda2 5.730 * [backup-simplify]: Simplify -1 into -1 5.730 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 1 into 1 5.730 * [backup-simplify]: Simplify (/ -1 1) into -1 5.730 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.730 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 5.730 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 5.730 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 5.730 * [taylor]: Taking taylor expansion of -1 in lambda1 5.730 * [backup-simplify]: Simplify -1 into -1 5.730 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.730 * [backup-simplify]: Simplify 0 into 0 5.730 * [backup-simplify]: Simplify 1 into 1 5.731 * [backup-simplify]: Simplify (/ -1 1) into -1 5.731 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.731 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 5.731 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 5.731 * [taylor]: Taking taylor expansion of -1 in lambda1 5.731 * [backup-simplify]: Simplify -1 into -1 5.731 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.731 * [backup-simplify]: Simplify lambda2 into lambda2 5.731 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 5.731 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.731 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 5.731 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 5.731 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 5.731 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 5.731 * [taylor]: Taking taylor expansion of -1 in lambda1 5.731 * [backup-simplify]: Simplify -1 into -1 5.731 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.731 * [backup-simplify]: Simplify 0 into 0 5.731 * [backup-simplify]: Simplify 1 into 1 5.732 * [backup-simplify]: Simplify (/ -1 1) into -1 5.732 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.732 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 5.732 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 5.732 * [taylor]: Taking taylor expansion of -1 in lambda1 5.732 * [backup-simplify]: Simplify -1 into -1 5.732 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.732 * [backup-simplify]: Simplify lambda2 into lambda2 5.732 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 5.732 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.732 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 5.733 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 5.733 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 5.733 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 5.733 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.733 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 5.733 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 5.733 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 5.733 * [taylor]: Taking taylor expansion of -1 in lambda2 5.733 * [backup-simplify]: Simplify -1 into -1 5.733 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.733 * [backup-simplify]: Simplify lambda1 into lambda1 5.733 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 5.733 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.734 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 5.734 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 5.734 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 5.734 * [taylor]: Taking taylor expansion of -1 in lambda2 5.734 * [backup-simplify]: Simplify -1 into -1 5.734 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.734 * [backup-simplify]: Simplify 0 into 0 5.734 * [backup-simplify]: Simplify 1 into 1 5.734 * [backup-simplify]: Simplify (/ -1 1) into -1 5.734 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.734 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 5.734 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 5.734 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 5.735 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.735 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.735 * [backup-simplify]: Simplify (+ 0) into 0 5.736 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 5.736 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 5.737 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.737 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 5.737 * [backup-simplify]: Simplify (+ 0 0) into 0 5.738 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 5.738 * [taylor]: Taking taylor expansion of 0 in lambda2 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify 0 into 0 5.738 * [backup-simplify]: Simplify (+ 0) into 0 5.739 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 5.739 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 5.739 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.740 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 5.740 * [backup-simplify]: Simplify (+ 0 0) into 0 5.740 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 5.740 * [backup-simplify]: Simplify 0 into 0 5.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.742 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.742 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.743 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.744 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.744 * [backup-simplify]: Simplify (+ 0 0) into 0 5.745 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 5.745 * [taylor]: Taking taylor expansion of 0 in lambda2 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.745 * [backup-simplify]: Simplify 0 into 0 5.746 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.746 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.747 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 5.747 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.748 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.748 * [backup-simplify]: Simplify (+ 0 0) into 0 5.749 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 5.749 * [backup-simplify]: Simplify 0 into 0 5.750 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.751 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.751 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.752 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.753 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.753 * [backup-simplify]: Simplify (+ 0 0) into 0 5.754 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 5.754 * [taylor]: Taking taylor expansion of 0 in lambda2 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify 0 into 0 5.754 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 5.755 * * * [progress]: simplifying candidates 5.755 * * * * [progress]: [ 1 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 2 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 3 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 4 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 5 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 6 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 7 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 8 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 9 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 10 / 88 ] simplifiying candidate # 5.755 * * * * [progress]: [ 11 / 88 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 5.755 * * * * [progress]: [ 12 / 88 ] simplifiying candidate # 5.756 * * * * [progress]: [ 13 / 88 ] simplifiying candidate # 5.756 * * * * [progress]: [ 14 / 88 ] simplifiying candidate # 5.756 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 5.756 * * [simplify]: iters left: 6 (22 enodes) 5.766 * * [simplify]: iters left: 5 (84 enodes) 5.798 * * [simplify]: iters left: 4 (155 enodes) 5.846 * * [simplify]: iters left: 3 (314 enodes) 5.923 * * [simplify]: iters left: 2 (469 enodes) 6.026 * * [simplify]: Extracting #0: cost 1 inf + 0 6.026 * * [simplify]: Extracting #1: cost 4 inf + 0 6.026 * * [simplify]: Extracting #2: cost 5 inf + 1 6.026 * * [simplify]: Extracting #3: cost 34 inf + 1 6.027 * * [simplify]: Extracting #4: cost 74 inf + 1 6.028 * * [simplify]: Extracting #5: cost 67 inf + 777 6.030 * * [simplify]: Extracting #6: cost 41 inf + 5615 6.040 * * [simplify]: Extracting #7: cost 9 inf + 16232 6.051 * * [simplify]: Extracting #8: cost 1 inf + 20074 6.062 * * [simplify]: Extracting #9: cost 0 inf + 20919 6.073 * [simplify]: Simplified to (* (acos (fma (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1)))) R) 6.073 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (fma (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1)))) R) 1)) 6.073 * * * * [progress]: [ 15 / 88 ] simplifiying candidate # 6.073 * * * * [progress]: [ 16 / 88 ] simplifiying candidate # 6.074 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) 6.074 * * [simplify]: iters left: 6 (24 enodes) 6.084 * * [simplify]: iters left: 5 (90 enodes) 6.114 * * [simplify]: iters left: 4 (161 enodes) 6.169 * * [simplify]: iters left: 3 (316 enodes) 6.246 * * [simplify]: iters left: 2 (467 enodes) 6.374 * * [simplify]: Extracting #0: cost 1 inf + 0 6.374 * * [simplify]: Extracting #1: cost 4 inf + 0 6.374 * * [simplify]: Extracting #2: cost 8 inf + 0 6.374 * * [simplify]: Extracting #3: cost 8 inf + 72 6.374 * * [simplify]: Extracting #4: cost 36 inf + 143 6.375 * * [simplify]: Extracting #5: cost 76 inf + 143 6.375 * * [simplify]: Extracting #6: cost 72 inf + 736 6.376 * * [simplify]: Extracting #7: cost 46 inf + 4618 6.383 * * [simplify]: Extracting #8: cost 10 inf + 16536 6.395 * * [simplify]: Extracting #9: cost 1 inf + 22104 6.406 * * [simplify]: Extracting #10: cost 0 inf + 23089 6.418 * [simplify]: Simplified to (+ (log (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) (log R)) 6.418 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) (log R)))) 6.419 * * * * [progress]: [ 17 / 88 ] simplifiying candidate # 6.419 * * * * [progress]: [ 18 / 88 ] simplifiying candidate # 6.419 * * * * [progress]: [ 19 / 88 ] simplifiying candidate # 6.419 * [simplify]: Simplifying (* (* (* (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)) 6.420 * * [simplify]: iters left: 6 (26 enodes) 6.430 * * [simplify]: iters left: 5 (102 enodes) 6.464 * * [simplify]: iters left: 4 (202 enodes) 6.512 * * [simplify]: iters left: 3 (412 enodes) 6.615 * * [simplify]: Extracting #0: cost 1 inf + 0 6.615 * * [simplify]: Extracting #1: cost 23 inf + 0 6.616 * * [simplify]: Extracting #2: cost 47 inf + 214 6.616 * * [simplify]: Extracting #3: cost 73 inf + 549 6.617 * * [simplify]: Extracting #4: cost 129 inf + 884 6.617 * * [simplify]: Extracting #5: cost 122 inf + 1761 6.620 * * [simplify]: Extracting #6: cost 73 inf + 15189 6.632 * * [simplify]: Extracting #7: cost 21 inf + 45937 6.654 * * [simplify]: Extracting #8: cost 2 inf + 64616 6.667 * * [simplify]: Extracting #9: cost 0 inf + 66335 6.680 * [simplify]: Simplified to (* (* (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)) 6.681 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)))) 6.681 * * * * [progress]: [ 20 / 88 ] simplifiying candidate # 6.681 * * * * [progress]: [ 21 / 88 ] simplifiying candidate # 6.681 * * * * [progress]: [ 22 / 88 ] simplifiying candidate # 6.681 * * * * [progress]: [ 23 / 88 ] simplifiying candidate # 6.681 * * * * [progress]: [ 24 / 88 ] simplifiying candidate # 6.681 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 6.681 * * [simplify]: iters left: 6 (24 enodes) 6.687 * * [simplify]: iters left: 5 (90 enodes) 6.716 * * [simplify]: iters left: 4 (161 enodes) 6.764 * * [simplify]: iters left: 3 (316 enodes) 6.855 * * [simplify]: iters left: 2 (467 enodes) 6.992 * * [simplify]: Extracting #0: cost 1 inf + 0 6.992 * * [simplify]: Extracting #1: cost 4 inf + 0 6.992 * * [simplify]: Extracting #2: cost 8 inf + 0 6.992 * * [simplify]: Extracting #3: cost 8 inf + 42 6.992 * * [simplify]: Extracting #4: cost 36 inf + 83 6.992 * * [simplify]: Extracting #5: cost 76 inf + 83 6.993 * * [simplify]: Extracting #6: cost 72 inf + 676 6.994 * * [simplify]: Extracting #7: cost 46 inf + 4558 6.997 * * [simplify]: Extracting #8: cost 10 inf + 16476 7.003 * * [simplify]: Extracting #9: cost 1 inf + 21924 7.011 * * [simplify]: Extracting #10: cost 0 inf + 22849 7.023 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) 7.023 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)))) 7.023 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 7.024 * * [simplify]: iters left: 6 (24 enodes) 7.034 * * [simplify]: iters left: 5 (90 enodes) 7.064 * * [simplify]: iters left: 4 (161 enodes) 7.117 * * [simplify]: iters left: 3 (316 enodes) 7.219 * * [simplify]: iters left: 2 (467 enodes) 7.365 * * [simplify]: Extracting #0: cost 1 inf + 0 7.365 * * [simplify]: Extracting #1: cost 4 inf + 0 7.365 * * [simplify]: Extracting #2: cost 8 inf + 0 7.365 * * [simplify]: Extracting #3: cost 8 inf + 42 7.366 * * [simplify]: Extracting #4: cost 36 inf + 83 7.366 * * [simplify]: Extracting #5: cost 76 inf + 83 7.366 * * [simplify]: Extracting #6: cost 72 inf + 676 7.367 * * [simplify]: Extracting #7: cost 46 inf + 4558 7.371 * * [simplify]: Extracting #8: cost 10 inf + 16476 7.376 * * [simplify]: Extracting #9: cost 1 inf + 21924 7.382 * * [simplify]: Extracting #10: cost 0 inf + 22849 7.388 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) 7.388 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))))) 7.388 * * * * [progress]: [ 25 / 88 ] simplifiying candidate # 7.388 * [simplify]: Simplifying (cbrt R) 7.389 * * [simplify]: iters left: 1 (2 enodes) 7.389 * * [simplify]: Extracting #0: cost 1 inf + 0 7.389 * * [simplify]: Extracting #1: cost 3 inf + 0 7.389 * * [simplify]: Extracting #2: cost 2 inf + 1 7.390 * * [simplify]: Extracting #3: cost 0 inf + 163 7.390 * [simplify]: Simplified to (cbrt R) 7.390 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (* (cbrt R) (cbrt R))) (cbrt R))) 7.390 * * * * [progress]: [ 26 / 88 ] simplifiying candidate # 7.390 * [simplify]: Simplifying (sqrt R) 7.390 * * [simplify]: iters left: 1 (2 enodes) 7.391 * * [simplify]: Extracting #0: cost 1 inf + 0 7.391 * * [simplify]: Extracting #1: cost 3 inf + 0 7.391 * * [simplify]: Extracting #2: cost 2 inf + 1 7.391 * * [simplify]: Extracting #3: cost 0 inf + 83 7.391 * [simplify]: Simplified to (sqrt R) 7.391 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) (sqrt R)) (sqrt R))) 7.391 * * * * [progress]: [ 27 / 88 ] simplifiying candidate # 7.392 * * * * [progress]: [ 28 / 88 ] simplifiying candidate # 7.392 * [simplify]: Simplifying (* (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)))))))) 7.392 * * [simplify]: iters left: 6 (22 enodes) 7.402 * * [simplify]: iters left: 5 (83 enodes) 7.430 * * [simplify]: iters left: 4 (154 enodes) 7.494 * * [simplify]: iters left: 3 (313 enodes) 7.617 * * [simplify]: iters left: 2 (467 enodes) 7.724 * * [simplify]: Extracting #0: cost 1 inf + 0 7.724 * * [simplify]: Extracting #1: cost 3 inf + 0 7.724 * * [simplify]: Extracting #2: cost 5 inf + 0 7.724 * * [simplify]: Extracting #3: cost 7 inf + 0 7.724 * * [simplify]: Extracting #4: cost 36 inf + 0 7.725 * * [simplify]: Extracting #5: cost 76 inf + 0 7.726 * * [simplify]: Extracting #6: cost 69 inf + 776 7.728 * * [simplify]: Extracting #7: cost 42 inf + 6079 7.737 * * [simplify]: Extracting #8: cost 8 inf + 17094 7.748 * * [simplify]: Extracting #9: cost 2 inf + 20996 7.756 * * [simplify]: Extracting #10: cost 1 inf + 21920 7.763 * * [simplify]: Extracting #11: cost 0 inf + 22844 7.769 * [simplify]: Simplified to (* (cbrt (acos (fma (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1)))))) 7.769 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (fma (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) 7.769 * * * * [progress]: [ 29 / 88 ] simplifiying candidate # 7.769 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 7.769 * * [simplify]: iters left: 6 (21 enodes) 7.774 * * [simplify]: iters left: 5 (80 enodes) 7.788 * * [simplify]: iters left: 4 (151 enodes) 7.834 * * [simplify]: iters left: 3 (306 enodes) 7.941 * * [simplify]: iters left: 2 (464 enodes) 8.079 * * [simplify]: Extracting #0: cost 1 inf + 0 8.079 * * [simplify]: Extracting #1: cost 3 inf + 0 8.079 * * [simplify]: Extracting #2: cost 5 inf + 0 8.080 * * [simplify]: Extracting #3: cost 34 inf + 0 8.080 * * [simplify]: Extracting #4: cost 74 inf + 0 8.081 * * [simplify]: Extracting #5: cost 70 inf + 492 8.083 * * [simplify]: Extracting #6: cost 42 inf + 5492 8.089 * * [simplify]: Extracting #7: cost 8 inf + 16359 8.095 * * [simplify]: Extracting #8: cost 1 inf + 20072 8.101 * * [simplify]: Extracting #9: cost 0 inf + 20916 8.107 * [simplify]: Simplified to (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) 8.107 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) 8.107 * * * * [progress]: [ 30 / 88 ] simplifiying candidate # 8.107 * * * * [progress]: [ 31 / 88 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 8.107 * * * * [progress]: [ 32 / 88 ] simplifiying candidate # 8.107 * * * * [progress]: [ 33 / 88 ] simplifiying candidate # 8.107 * * * * [progress]: [ 34 / 88 ] simplifiying candidate # 8.107 * * * * [progress]: [ 35 / 88 ] simplifiying candidate # 8.108 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 8.108 * * [simplify]: iters left: 5 (7 enodes) 8.109 * * [simplify]: iters left: 4 (26 enodes) 8.113 * * [simplify]: iters left: 3 (32 enodes) 8.118 * * [simplify]: Extracting #0: cost 1 inf + 0 8.118 * * [simplify]: Extracting #1: cost 5 inf + 0 8.118 * * [simplify]: Extracting #2: cost 10 inf + 0 8.118 * * [simplify]: Extracting #3: cost 15 inf + 0 8.118 * * [simplify]: Extracting #4: cost 13 inf + 43 8.118 * * [simplify]: Extracting #5: cost 4 inf + 800 8.119 * * [simplify]: Extracting #6: cost 1 inf + 1186 8.119 * * [simplify]: Extracting #7: cost 0 inf + 1428 8.120 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 8.120 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.120 * * * * [progress]: [ 36 / 88 ] simplifiying candidate # 8.120 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 8.120 * * [simplify]: iters left: 3 (5 enodes) 8.122 * * [simplify]: iters left: 2 (16 enodes) 8.127 * * [simplify]: Extracting #0: cost 1 inf + 0 8.127 * * [simplify]: Extracting #1: cost 4 inf + 0 8.127 * * [simplify]: Extracting #2: cost 8 inf + 0 8.127 * * [simplify]: Extracting #3: cost 4 inf + 124 8.127 * * [simplify]: Extracting #4: cost 0 inf + 570 8.127 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 8.127 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.128 * * * * [progress]: [ 37 / 88 ] simplifiying candidate # 8.128 * * * * [progress]: [ 38 / 88 ] simplifiying candidate # 8.128 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 8.128 * * [simplify]: iters left: 4 (7 enodes) 8.131 * * [simplify]: iters left: 3 (22 enodes) 8.135 * * [simplify]: Extracting #0: cost 1 inf + 0 8.135 * * [simplify]: Extracting #1: cost 4 inf + 0 8.135 * * [simplify]: Extracting #2: cost 8 inf + 0 8.135 * * [simplify]: Extracting #3: cost 12 inf + 0 8.135 * * [simplify]: Extracting #4: cost 10 inf + 2 8.135 * * [simplify]: Extracting #5: cost 4 inf + 508 8.135 * * [simplify]: Extracting #6: cost 1 inf + 1072 8.135 * * [simplify]: Extracting #7: cost 0 inf + 1374 8.136 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 8.136 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.136 * * * * [progress]: [ 39 / 88 ] simplifiying candidate # 8.136 * * * * [progress]: [ 40 / 88 ] simplifiying candidate # 8.136 * * * * [progress]: [ 41 / 88 ] simplifiying candidate # 8.136 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 8.136 * * [simplify]: iters left: 6 (9 enodes) 8.138 * * [simplify]: iters left: 5 (34 enodes) 8.144 * * [simplify]: iters left: 4 (63 enodes) 8.157 * * [simplify]: iters left: 3 (122 enodes) 8.200 * * [simplify]: iters left: 2 (196 enodes) 8.262 * * [simplify]: iters left: 1 (356 enodes) 8.442 * * [simplify]: Extracting #0: cost 1 inf + 0 8.443 * * [simplify]: Extracting #1: cost 70 inf + 0 8.443 * * [simplify]: Extracting #2: cost 169 inf + 1 8.444 * * [simplify]: Extracting #3: cost 154 inf + 2658 8.448 * * [simplify]: Extracting #4: cost 86 inf + 31524 8.455 * * [simplify]: Extracting #5: cost 7 inf + 77226 8.464 * * [simplify]: Extracting #6: cost 0 inf + 81813 8.475 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 8.475 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.475 * * * * [progress]: [ 42 / 88 ] simplifiying candidate # 8.476 * * * * [progress]: [ 43 / 88 ] simplifiying candidate # 8.476 * * * * [progress]: [ 44 / 88 ] simplifiying candidate # 8.476 * * * * [progress]: [ 45 / 88 ] simplifiying candidate # 8.476 * * * * [progress]: [ 46 / 88 ] simplifiying candidate # 8.476 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.476 * * [simplify]: iters left: 4 (7 enodes) 8.479 * * [simplify]: iters left: 3 (22 enodes) 8.485 * * [simplify]: Extracting #0: cost 1 inf + 0 8.485 * * [simplify]: Extracting #1: cost 4 inf + 0 8.486 * * [simplify]: Extracting #2: cost 8 inf + 0 8.486 * * [simplify]: Extracting #3: cost 12 inf + 0 8.486 * * [simplify]: Extracting #4: cost 10 inf + 2 8.486 * * [simplify]: Extracting #5: cost 4 inf + 448 8.486 * * [simplify]: Extracting #6: cost 1 inf + 892 8.486 * * [simplify]: Extracting #7: cost 0 inf + 1134 8.487 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.487 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.487 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.487 * * [simplify]: iters left: 4 (7 enodes) 8.489 * * [simplify]: iters left: 3 (22 enodes) 8.492 * * [simplify]: Extracting #0: cost 1 inf + 0 8.492 * * [simplify]: Extracting #1: cost 4 inf + 0 8.492 * * [simplify]: Extracting #2: cost 8 inf + 0 8.492 * * [simplify]: Extracting #3: cost 12 inf + 0 8.492 * * [simplify]: Extracting #4: cost 10 inf + 2 8.492 * * [simplify]: Extracting #5: cost 4 inf + 448 8.493 * * [simplify]: Extracting #6: cost 1 inf + 892 8.493 * * [simplify]: Extracting #7: cost 0 inf + 1134 8.493 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.493 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.493 * * * * [progress]: [ 47 / 88 ] simplifiying candidate # 8.493 * [simplify]: Simplifying (cbrt (sin phi2)) 8.493 * * [simplify]: iters left: 2 (3 enodes) 8.494 * * [simplify]: iters left: 1 (9 enodes) 8.495 * * [simplify]: Extracting #0: cost 1 inf + 0 8.495 * * [simplify]: Extracting #1: cost 3 inf + 0 8.495 * * [simplify]: Extracting #2: cost 5 inf + 0 8.495 * * [simplify]: Extracting #3: cost 4 inf + 1 8.495 * * [simplify]: Extracting #4: cost 0 inf + 405 8.495 * [simplify]: Simplified to (cbrt (sin phi2)) 8.495 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.496 * * * * [progress]: [ 48 / 88 ] simplifiying candidate # 8.496 * [simplify]: Simplifying (sqrt (sin phi2)) 8.496 * * [simplify]: iters left: 2 (3 enodes) 8.496 * * [simplify]: iters left: 1 (9 enodes) 8.498 * * [simplify]: Extracting #0: cost 1 inf + 0 8.498 * * [simplify]: Extracting #1: cost 3 inf + 0 8.498 * * [simplify]: Extracting #2: cost 5 inf + 0 8.498 * * [simplify]: Extracting #3: cost 4 inf + 1 8.498 * * [simplify]: Extracting #4: cost 0 inf + 325 8.498 * [simplify]: Simplified to (sqrt (sin phi2)) 8.498 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.498 * * * * [progress]: [ 49 / 88 ] simplifiying candidate # 8.498 * [simplify]: Simplifying (sin phi2) 8.498 * * [simplify]: iters left: 1 (2 enodes) 8.499 * * [simplify]: Extracting #0: cost 1 inf + 0 8.499 * * [simplify]: Extracting #1: cost 3 inf + 0 8.499 * * [simplify]: Extracting #2: cost 2 inf + 1 8.499 * * [simplify]: Extracting #3: cost 0 inf + 123 8.499 * [simplify]: Simplified to (sin phi2) 8.499 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.499 * * * * [progress]: [ 50 / 88 ] simplifiying candidate # 8.499 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 8.499 * * [simplify]: iters left: 4 (4 enodes) 8.500 * * [simplify]: iters left: 3 (12 enodes) 8.502 * * [simplify]: Extracting #0: cost 1 inf + 0 8.502 * * [simplify]: Extracting #1: cost 3 inf + 0 8.502 * * [simplify]: Extracting #2: cost 5 inf + 0 8.502 * * [simplify]: Extracting #3: cost 7 inf + 0 8.502 * * [simplify]: Extracting #4: cost 6 inf + 1 8.502 * * [simplify]: Extracting #5: cost 0 inf + 767 8.502 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 8.502 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.502 * * * * [progress]: [ 51 / 88 ] simplifiying candidate # 8.502 * [simplify]: Simplifying (sqrt (sin phi1)) 8.502 * * [simplify]: iters left: 2 (3 enodes) 8.503 * * [simplify]: iters left: 1 (9 enodes) 8.504 * * [simplify]: Extracting #0: cost 1 inf + 0 8.504 * * [simplify]: Extracting #1: cost 3 inf + 0 8.504 * * [simplify]: Extracting #2: cost 5 inf + 0 8.504 * * [simplify]: Extracting #3: cost 4 inf + 1 8.504 * * [simplify]: Extracting #4: cost 0 inf + 325 8.504 * [simplify]: Simplified to (sqrt (sin phi1)) 8.504 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 8.504 * * * * [progress]: [ 52 / 88 ] simplifiying candidate # 8.505 * * * * [progress]: [ 53 / 88 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 8.505 * * * * [progress]: [ 54 / 88 ] simplifiying candidate # 8.505 * * * * [progress]: [ 55 / 88 ] simplifiying candidate # 8.505 * * * * [progress]: [ 56 / 88 ] simplifiying candidate # 8.505 * * * * [progress]: [ 57 / 88 ] simplifiying candidate # 8.505 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 8.505 * * [simplify]: iters left: 5 (7 enodes) 8.506 * * [simplify]: iters left: 4 (26 enodes) 8.510 * * [simplify]: iters left: 3 (32 enodes) 8.516 * * [simplify]: Extracting #0: cost 1 inf + 0 8.517 * * [simplify]: Extracting #1: cost 5 inf + 0 8.517 * * [simplify]: Extracting #2: cost 10 inf + 0 8.517 * * [simplify]: Extracting #3: cost 15 inf + 0 8.517 * * [simplify]: Extracting #4: cost 13 inf + 43 8.517 * * [simplify]: Extracting #5: cost 4 inf + 800 8.517 * * [simplify]: Extracting #6: cost 1 inf + 1186 8.518 * * [simplify]: Extracting #7: cost 0 inf + 1428 8.518 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 8.519 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2))))) R)) 8.519 * * * * [progress]: [ 58 / 88 ] simplifiying candidate # 8.519 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 8.519 * * [simplify]: iters left: 3 (5 enodes) 8.521 * * [simplify]: iters left: 2 (16 enodes) 8.528 * * [simplify]: Extracting #0: cost 1 inf + 0 8.528 * * [simplify]: Extracting #1: cost 4 inf + 0 8.528 * * [simplify]: Extracting #2: cost 8 inf + 0 8.528 * * [simplify]: Extracting #3: cost 4 inf + 124 8.528 * * [simplify]: Extracting #4: cost 0 inf + 570 8.529 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 8.529 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (pow (* (sin lambda2) (sin lambda1)) 1))))) R)) 8.529 * * * * [progress]: [ 59 / 88 ] simplifiying candidate # 8.529 * * * * [progress]: [ 60 / 88 ] simplifiying candidate # 8.529 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 8.529 * * [simplify]: iters left: 4 (7 enodes) 8.530 * * [simplify]: iters left: 3 (22 enodes) 8.533 * * [simplify]: Extracting #0: cost 1 inf + 0 8.533 * * [simplify]: Extracting #1: cost 4 inf + 0 8.533 * * [simplify]: Extracting #2: cost 8 inf + 0 8.533 * * [simplify]: Extracting #3: cost 12 inf + 0 8.533 * * [simplify]: Extracting #4: cost 10 inf + 2 8.534 * * [simplify]: Extracting #5: cost 4 inf + 508 8.534 * * [simplify]: Extracting #6: cost 1 inf + 1072 8.534 * * [simplify]: Extracting #7: cost 0 inf + 1374 8.534 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 8.534 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (exp (+ (log (sin lambda2)) (log (sin lambda1)))))))) R)) 8.534 * * * * [progress]: [ 61 / 88 ] simplifiying candidate # 8.534 * * * * [progress]: [ 62 / 88 ] simplifiying candidate # 8.534 * * * * [progress]: [ 63 / 88 ] simplifiying candidate # 8.535 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 8.535 * * [simplify]: iters left: 6 (9 enodes) 8.537 * * [simplify]: iters left: 5 (34 enodes) 8.543 * * [simplify]: iters left: 4 (63 enodes) 8.556 * * [simplify]: iters left: 3 (122 enodes) 8.604 * * [simplify]: iters left: 2 (196 enodes) 8.679 * * [simplify]: iters left: 1 (356 enodes) 8.826 * * [simplify]: Extracting #0: cost 1 inf + 0 8.826 * * [simplify]: Extracting #1: cost 70 inf + 0 8.827 * * [simplify]: Extracting #2: cost 169 inf + 1 8.828 * * [simplify]: Extracting #3: cost 154 inf + 2658 8.835 * * [simplify]: Extracting #4: cost 86 inf + 31524 8.849 * * [simplify]: Extracting #5: cost 7 inf + 77226 8.863 * * [simplify]: Extracting #6: cost 0 inf + 81813 8.871 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 8.871 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))))))) R)) 8.871 * * * * [progress]: [ 64 / 88 ] simplifiying candidate # 8.871 * * * * [progress]: [ 65 / 88 ] simplifiying candidate # 8.871 * * * * [progress]: [ 66 / 88 ] simplifiying candidate # 8.871 * * * * [progress]: [ 67 / 88 ] simplifiying candidate # 8.871 * * * * [progress]: [ 68 / 88 ] simplifiying candidate # 8.872 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 8.872 * * [simplify]: iters left: 4 (7 enodes) 8.873 * * [simplify]: iters left: 3 (22 enodes) 8.877 * * [simplify]: Extracting #0: cost 1 inf + 0 8.877 * * [simplify]: Extracting #1: cost 4 inf + 0 8.877 * * [simplify]: Extracting #2: cost 8 inf + 0 8.877 * * [simplify]: Extracting #3: cost 12 inf + 0 8.877 * * [simplify]: Extracting #4: cost 10 inf + 2 8.877 * * [simplify]: Extracting #5: cost 4 inf + 448 8.877 * * [simplify]: Extracting #6: cost 1 inf + 892 8.877 * * [simplify]: Extracting #7: cost 0 inf + 1134 8.877 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 8.877 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R)) 8.878 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 8.878 * * [simplify]: iters left: 4 (7 enodes) 8.879 * * [simplify]: iters left: 3 (22 enodes) 8.882 * * [simplify]: Extracting #0: cost 1 inf + 0 8.882 * * [simplify]: Extracting #1: cost 4 inf + 0 8.882 * * [simplify]: Extracting #2: cost 8 inf + 0 8.882 * * [simplify]: Extracting #3: cost 12 inf + 0 8.882 * * [simplify]: Extracting #4: cost 10 inf + 2 8.882 * * [simplify]: Extracting #5: cost 4 inf + 448 8.883 * * [simplify]: Extracting #6: cost 1 inf + 892 8.883 * * [simplify]: Extracting #7: cost 0 inf + 1134 8.883 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 8.883 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))) R)) 8.883 * * * * [progress]: [ 69 / 88 ] simplifiying candidate # 8.883 * [simplify]: Simplifying (cbrt (sin lambda2)) 8.883 * * [simplify]: iters left: 2 (3 enodes) 8.884 * * [simplify]: iters left: 1 (9 enodes) 8.885 * * [simplify]: Extracting #0: cost 1 inf + 0 8.885 * * [simplify]: Extracting #1: cost 3 inf + 0 8.885 * * [simplify]: Extracting #2: cost 5 inf + 0 8.885 * * [simplify]: Extracting #3: cost 4 inf + 1 8.885 * * [simplify]: Extracting #4: cost 0 inf + 405 8.885 * [simplify]: Simplified to (cbrt (sin lambda2)) 8.885 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))) R)) 8.886 * * * * [progress]: [ 70 / 88 ] simplifiying candidate # 8.886 * [simplify]: Simplifying (sqrt (sin lambda2)) 8.886 * * [simplify]: iters left: 2 (3 enodes) 8.886 * * [simplify]: iters left: 1 (9 enodes) 8.888 * * [simplify]: Extracting #0: cost 1 inf + 0 8.888 * * [simplify]: Extracting #1: cost 3 inf + 0 8.888 * * [simplify]: Extracting #2: cost 5 inf + 0 8.888 * * [simplify]: Extracting #3: cost 4 inf + 1 8.888 * * [simplify]: Extracting #4: cost 0 inf + 325 8.888 * [simplify]: Simplified to (sqrt (sin lambda2)) 8.888 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))) R)) 8.888 * * * * [progress]: [ 71 / 88 ] simplifiying candidate # 8.889 * [simplify]: Simplifying (sin lambda2) 8.889 * * [simplify]: iters left: 1 (2 enodes) 8.890 * * [simplify]: Extracting #0: cost 1 inf + 0 8.890 * * [simplify]: Extracting #1: cost 3 inf + 0 8.890 * * [simplify]: Extracting #2: cost 2 inf + 1 8.890 * * [simplify]: Extracting #3: cost 0 inf + 123 8.890 * [simplify]: Simplified to (sin lambda2) 8.890 * [simplify]: Simplified (2 1 1 2 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (sin lambda1) 1) (sin lambda2)))))) R)) 8.890 * * * * [progress]: [ 72 / 88 ] simplifiying candidate # 8.890 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 8.890 * * [simplify]: iters left: 4 (4 enodes) 8.892 * * [simplify]: iters left: 3 (12 enodes) 8.899 * * [simplify]: Extracting #0: cost 1 inf + 0 8.899 * * [simplify]: Extracting #1: cost 3 inf + 0 8.900 * * [simplify]: Extracting #2: cost 5 inf + 0 8.900 * * [simplify]: Extracting #3: cost 7 inf + 0 8.900 * * [simplify]: Extracting #4: cost 6 inf + 1 8.900 * * [simplify]: Extracting #5: cost 0 inf + 767 8.900 * [simplify]: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 8.900 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2))))))) R)) 8.900 * * * * [progress]: [ 73 / 88 ] simplifiying candidate # 8.901 * [simplify]: Simplifying (sqrt (sin lambda1)) 8.901 * * [simplify]: iters left: 2 (3 enodes) 8.902 * * [simplify]: iters left: 1 (9 enodes) 8.904 * * [simplify]: Extracting #0: cost 1 inf + 0 8.904 * * [simplify]: Extracting #1: cost 3 inf + 0 8.905 * * [simplify]: Extracting #2: cost 5 inf + 0 8.905 * * [simplify]: Extracting #3: cost 4 inf + 1 8.905 * * [simplify]: Extracting #4: cost 0 inf + 325 8.905 * [simplify]: Simplified to (sqrt (sin lambda1)) 8.905 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))) R)) 8.905 * * * * [progress]: [ 74 / 88 ] simplifiying candidate # 8.905 * * * * [progress]: [ 75 / 88 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 8.905 * * * * [progress]: [ 76 / 88 ] simplifiying candidate # 8.905 * * * * [progress]: [ 77 / 88 ] simplifiying candidate # 8.905 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.905 * * [simplify]: iters left: 6 (22 enodes) 8.910 * * [simplify]: iters left: 5 (86 enodes) 8.924 * * [simplify]: iters left: 4 (152 enodes) 8.969 * * [simplify]: iters left: 3 (310 enodes) 9.051 * * [simplify]: iters left: 2 (400 enodes) 9.128 * * [simplify]: iters left: 1 (402 enodes) 9.190 * * [simplify]: Extracting #0: cost 1 inf + 0 9.190 * * [simplify]: Extracting #1: cost 3 inf + 0 9.190 * * [simplify]: Extracting #2: cost 40 inf + 0 9.191 * * [simplify]: Extracting #3: cost 80 inf + 0 9.192 * * [simplify]: Extracting #4: cost 66 inf + 1018 9.197 * * [simplify]: Extracting #5: cost 25 inf + 9814 9.204 * * [simplify]: Extracting #6: cost 2 inf + 17660 9.209 * * [simplify]: Extracting #7: cost 1 inf + 18424 9.215 * * [simplify]: Extracting #8: cost 0 inf + 19228 9.221 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) 9.221 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R)) 9.221 * * * * [progress]: [ 78 / 88 ] simplifiying candidate # 9.221 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 9.221 * * [simplify]: iters left: 6 (22 enodes) 9.226 * * [simplify]: iters left: 5 (86 enodes) 9.250 * * [simplify]: iters left: 4 (152 enodes) 9.303 * * [simplify]: iters left: 3 (310 enodes) 9.365 * * [simplify]: iters left: 2 (400 enodes) 9.431 * * [simplify]: iters left: 1 (402 enodes) 9.475 * * [simplify]: Extracting #0: cost 1 inf + 0 9.475 * * [simplify]: Extracting #1: cost 3 inf + 0 9.475 * * [simplify]: Extracting #2: cost 40 inf + 0 9.475 * * [simplify]: Extracting #3: cost 80 inf + 0 9.476 * * [simplify]: Extracting #4: cost 63 inf + 1403 9.479 * * [simplify]: Extracting #5: cost 22 inf + 10199 9.484 * * [simplify]: Extracting #6: cost 2 inf + 17660 9.489 * * [simplify]: Extracting #7: cost 1 inf + 18424 9.497 * * [simplify]: Extracting #8: cost 0 inf + 19228 9.506 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 9.506 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 9.506 * * * * [progress]: [ 79 / 88 ] simplifiying candidate # 9.506 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 9.507 * * [simplify]: iters left: 6 (22 enodes) 9.512 * * [simplify]: iters left: 5 (86 enodes) 9.527 * * [simplify]: iters left: 4 (152 enodes) 9.574 * * [simplify]: iters left: 3 (310 enodes) 9.647 * * [simplify]: iters left: 2 (400 enodes) 9.731 * * [simplify]: iters left: 1 (402 enodes) 9.779 * * [simplify]: Extracting #0: cost 1 inf + 0 9.779 * * [simplify]: Extracting #1: cost 3 inf + 0 9.779 * * [simplify]: Extracting #2: cost 40 inf + 0 9.779 * * [simplify]: Extracting #3: cost 80 inf + 0 9.779 * * [simplify]: Extracting #4: cost 66 inf + 1018 9.782 * * [simplify]: Extracting #5: cost 25 inf + 9814 9.788 * * [simplify]: Extracting #6: cost 2 inf + 17660 9.799 * * [simplify]: Extracting #7: cost 1 inf + 18424 9.810 * * [simplify]: Extracting #8: cost 0 inf + 19228 9.821 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) 9.821 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R)) 9.822 * * * * [progress]: [ 80 / 88 ] simplifiying candidate # 9.822 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.822 * * [simplify]: iters left: 6 (24 enodes) 9.833 * * [simplify]: iters left: 5 (93 enodes) 9.857 * * [simplify]: iters left: 4 (159 enodes) 9.903 * * [simplify]: iters left: 3 (317 enodes) 9.983 * * [simplify]: iters left: 2 (409 enodes) 10.065 * * [simplify]: iters left: 1 (412 enodes) 10.111 * * [simplify]: Extracting #0: cost 1 inf + 0 10.111 * * [simplify]: Extracting #1: cost 4 inf + 0 10.111 * * [simplify]: Extracting #2: cost 5 inf + 1 10.112 * * [simplify]: Extracting #3: cost 42 inf + 1 10.112 * * [simplify]: Extracting #4: cost 82 inf + 1 10.112 * * [simplify]: Extracting #5: cost 73 inf + 411 10.114 * * [simplify]: Extracting #6: cost 34 inf + 7786 10.118 * * [simplify]: Extracting #7: cost 4 inf + 18252 10.124 * * [simplify]: Extracting #8: cost 1 inf + 20074 10.129 * * [simplify]: Extracting #9: cost 0 inf + 20919 10.138 * [simplify]: Simplified to (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1))))) 10.139 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1)))))) 10.139 * * * * [progress]: [ 81 / 88 ] simplifiying candidate # 10.139 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 10.139 * * [simplify]: iters left: 6 (24 enodes) 10.150 * * [simplify]: iters left: 5 (93 enodes) 10.180 * * [simplify]: iters left: 4 (159 enodes) 10.237 * * [simplify]: iters left: 3 (318 enodes) 10.304 * * [simplify]: iters left: 2 (407 enodes) 10.388 * * [simplify]: iters left: 1 (409 enodes) 10.437 * * [simplify]: Extracting #0: cost 1 inf + 0 10.437 * * [simplify]: Extracting #1: cost 4 inf + 0 10.437 * * [simplify]: Extracting #2: cost 5 inf + 1 10.437 * * [simplify]: Extracting #3: cost 42 inf + 1 10.438 * * [simplify]: Extracting #4: cost 82 inf + 1 10.439 * * [simplify]: Extracting #5: cost 64 inf + 1465 10.442 * * [simplify]: Extracting #6: cost 23 inf + 12212 10.447 * * [simplify]: Extracting #7: cost 3 inf + 19788 10.453 * * [simplify]: Extracting #8: cost 0 inf + 20999 10.459 * * [simplify]: Extracting #9: cost 0 inf + 20919 10.465 * [simplify]: Simplified to (* (acos (fma (cos phi2) (* (cos phi1) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))) R) 10.465 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (cos phi2) (* (cos phi1) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))) R)) 10.465 * * * * [progress]: [ 82 / 88 ] simplifiying candidate # 10.465 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 10.465 * * [simplify]: iters left: 6 (24 enodes) 10.474 * * [simplify]: iters left: 5 (93 enodes) 10.503 * * [simplify]: iters left: 4 (159 enodes) 10.568 * * [simplify]: iters left: 3 (317 enodes) 10.650 * * [simplify]: iters left: 2 (409 enodes) 10.741 * * [simplify]: iters left: 1 (412 enodes) 10.785 * * [simplify]: Extracting #0: cost 1 inf + 0 10.785 * * [simplify]: Extracting #1: cost 4 inf + 0 10.785 * * [simplify]: Extracting #2: cost 5 inf + 1 10.786 * * [simplify]: Extracting #3: cost 42 inf + 1 10.786 * * [simplify]: Extracting #4: cost 82 inf + 1 10.786 * * [simplify]: Extracting #5: cost 73 inf + 411 10.788 * * [simplify]: Extracting #6: cost 34 inf + 7786 10.792 * * [simplify]: Extracting #7: cost 4 inf + 18252 10.797 * * [simplify]: Extracting #8: cost 1 inf + 20074 10.807 * * [simplify]: Extracting #9: cost 0 inf + 20919 10.818 * [simplify]: Simplified to (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1))))) 10.818 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1)))))) 10.819 * * * * [progress]: [ 83 / 88 ] simplifiying candidate # 10.819 * [simplify]: Simplifying (* phi1 phi2) 10.819 * * [simplify]: iters left: 2 (3 enodes) 10.821 * * [simplify]: iters left: 1 (10 enodes) 10.823 * * [simplify]: Extracting #0: cost 1 inf + 0 10.824 * * [simplify]: Extracting #1: cost 4 inf + 0 10.824 * * [simplify]: Extracting #2: cost 2 inf + 2 10.824 * * [simplify]: Extracting #3: cost 0 inf + 86 10.824 * [simplify]: Simplified to (* phi1 phi2) 10.824 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 10.824 * * * * [progress]: [ 84 / 88 ] simplifiying candidate # 10.824 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 10.824 * * [simplify]: iters left: 3 (5 enodes) 10.827 * * [simplify]: iters left: 2 (16 enodes) 10.831 * * [simplify]: Extracting #0: cost 1 inf + 0 10.831 * * [simplify]: Extracting #1: cost 4 inf + 0 10.831 * * [simplify]: Extracting #2: cost 8 inf + 0 10.831 * * [simplify]: Extracting #3: cost 4 inf + 124 10.831 * * [simplify]: Extracting #4: cost 0 inf + 570 10.832 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 10.832 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 10.832 * * * * [progress]: [ 85 / 88 ] simplifiying candidate # 10.832 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 10.832 * * [simplify]: iters left: 3 (5 enodes) 10.834 * * [simplify]: iters left: 2 (16 enodes) 10.839 * * [simplify]: Extracting #0: cost 1 inf + 0 10.839 * * [simplify]: Extracting #1: cost 4 inf + 0 10.839 * * [simplify]: Extracting #2: cost 8 inf + 0 10.839 * * [simplify]: Extracting #3: cost 4 inf + 124 10.839 * * [simplify]: Extracting #4: cost 0 inf + 570 10.839 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 10.839 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 10.840 * * * * [progress]: [ 86 / 88 ] simplifiying candidate # 10.840 * [simplify]: Simplifying (* lambda2 lambda1) 10.840 * * [simplify]: iters left: 2 (3 enodes) 10.841 * * [simplify]: iters left: 1 (10 enodes) 10.844 * * [simplify]: Extracting #0: cost 1 inf + 0 10.844 * * [simplify]: Extracting #1: cost 4 inf + 0 10.844 * * [simplify]: Extracting #2: cost 2 inf + 2 10.844 * * [simplify]: Extracting #3: cost 0 inf + 86 10.844 * [simplify]: Simplified to (* lambda2 lambda1) 10.844 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R)) 10.844 * * * * [progress]: [ 87 / 88 ] simplifiying candidate # 10.845 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 10.845 * * [simplify]: iters left: 3 (5 enodes) 10.847 * * [simplify]: iters left: 2 (16 enodes) 10.852 * * [simplify]: Extracting #0: cost 1 inf + 0 10.852 * * [simplify]: Extracting #1: cost 4 inf + 0 10.852 * * [simplify]: Extracting #2: cost 8 inf + 0 10.852 * * [simplify]: Extracting #3: cost 4 inf + 124 10.852 * * [simplify]: Extracting #4: cost 0 inf + 570 10.852 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 10.852 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 10.853 * * * * [progress]: [ 88 / 88 ] simplifiying candidate # 10.853 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 10.853 * * [simplify]: iters left: 3 (5 enodes) 10.855 * * [simplify]: iters left: 2 (16 enodes) 10.858 * * [simplify]: Extracting #0: cost 1 inf + 0 10.858 * * [simplify]: Extracting #1: cost 4 inf + 0 10.858 * * [simplify]: Extracting #2: cost 8 inf + 0 10.858 * * [simplify]: Extracting #3: cost 4 inf + 124 10.858 * * [simplify]: Extracting #4: cost 0 inf + 570 10.858 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 10.858 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 10.858 * * * [progress]: adding candidates to table 12.881 * * [progress]: iteration 3 / 4 12.881 * * * [progress]: picking best candidate 13.127 * * * * [pick]: Picked # 13.127 * * * [progress]: localizing error 13.210 * * * [progress]: generating rewritten candidates 13.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 13.215 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 13.217 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 13.223 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 13.241 * * * [progress]: generating series expansions 13.241 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 13.241 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 13.241 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 13.241 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 13.241 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 13.241 * [taylor]: Taking taylor expansion of lambda1 in lambda2 13.241 * [backup-simplify]: Simplify lambda1 into lambda1 13.241 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 13.241 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 13.241 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 13.241 * [taylor]: Taking taylor expansion of lambda2 in lambda2 13.241 * [backup-simplify]: Simplify 0 into 0 13.241 * [backup-simplify]: Simplify 1 into 1 13.241 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 13.241 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 13.241 * [taylor]: Taking taylor expansion of lambda1 in lambda1 13.241 * [backup-simplify]: Simplify 0 into 0 13.241 * [backup-simplify]: Simplify 1 into 1 13.241 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 13.241 * [taylor]: Taking taylor expansion of lambda2 in lambda1 13.241 * [backup-simplify]: Simplify lambda2 into lambda2 13.241 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 13.241 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 13.241 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 13.241 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 13.242 * [taylor]: Taking taylor expansion of lambda1 in lambda1 13.242 * [backup-simplify]: Simplify 0 into 0 13.242 * [backup-simplify]: Simplify 1 into 1 13.242 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 13.242 * [taylor]: Taking taylor expansion of lambda2 in lambda1 13.242 * [backup-simplify]: Simplify lambda2 into lambda2 13.242 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 13.242 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 13.242 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 13.242 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 13.242 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 13.242 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 13.242 * [taylor]: Taking taylor expansion of 0 in lambda2 13.242 * [backup-simplify]: Simplify 0 into 0 13.242 * [backup-simplify]: Simplify 0 into 0 13.243 * [backup-simplify]: Simplify (+ 0) into 0 13.244 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 13.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.245 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 13.245 * [backup-simplify]: Simplify (+ 0 0) into 0 13.245 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 13.246 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 13.246 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 13.246 * [taylor]: Taking taylor expansion of lambda2 in lambda2 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 1 into 1 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify 0 into 0 13.246 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.247 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 13.247 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.247 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 13.248 * [backup-simplify]: Simplify (+ 0 0) into 0 13.248 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 13.249 * [taylor]: Taking taylor expansion of 0 in lambda2 13.249 * [backup-simplify]: Simplify 0 into 0 13.249 * [backup-simplify]: Simplify 0 into 0 13.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 13.249 * [backup-simplify]: Simplify 1 into 1 13.249 * [backup-simplify]: Simplify 0 into 0 13.250 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.250 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.251 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.252 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.252 * [backup-simplify]: Simplify (+ 0 0) into 0 13.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 13.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 13.254 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 13.254 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 13.254 * [taylor]: Taking taylor expansion of 1/6 in lambda2 13.254 * [backup-simplify]: Simplify 1/6 into 1/6 13.254 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 13.254 * [taylor]: Taking taylor expansion of lambda2 in lambda2 13.254 * [backup-simplify]: Simplify 0 into 0 13.254 * [backup-simplify]: Simplify 1 into 1 13.254 * [backup-simplify]: Simplify (* 1/6 0) into 0 13.254 * [backup-simplify]: Simplify (- 0) into 0 13.254 * [backup-simplify]: Simplify 0 into 0 13.254 * [backup-simplify]: Simplify 0 into 0 13.255 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.255 * [backup-simplify]: Simplify 0 into 0 13.255 * [backup-simplify]: Simplify 0 into 0 13.256 * [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 13.257 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.257 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.258 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.258 * [backup-simplify]: Simplify (+ 0 0) into 0 13.259 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 13.260 * [taylor]: Taking taylor expansion of 0 in lambda2 13.260 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 13.260 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 13.260 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 13.260 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 13.260 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 13.260 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 13.260 * [taylor]: Taking taylor expansion of lambda2 in lambda2 13.260 * [backup-simplify]: Simplify 0 into 0 13.260 * [backup-simplify]: Simplify 1 into 1 13.261 * [backup-simplify]: Simplify (/ 1 1) into 1 13.261 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 13.261 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 13.261 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 13.261 * [taylor]: Taking taylor expansion of lambda1 in lambda2 13.261 * [backup-simplify]: Simplify lambda1 into lambda1 13.261 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 13.261 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 13.261 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 13.261 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 13.261 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 13.261 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 13.261 * [taylor]: Taking taylor expansion of lambda2 in lambda1 13.261 * [backup-simplify]: Simplify lambda2 into lambda2 13.261 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 13.261 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 13.261 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 13.261 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 13.261 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 13.261 * [taylor]: Taking taylor expansion of lambda1 in lambda1 13.261 * [backup-simplify]: Simplify 0 into 0 13.261 * [backup-simplify]: Simplify 1 into 1 13.261 * [backup-simplify]: Simplify (/ 1 1) into 1 13.262 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 13.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 13.262 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 13.262 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 13.262 * [taylor]: Taking taylor expansion of lambda2 in lambda1 13.262 * [backup-simplify]: Simplify lambda2 into lambda2 13.262 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 13.262 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 13.262 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 13.262 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 13.262 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 13.262 * [taylor]: Taking taylor expansion of lambda1 in lambda1 13.262 * [backup-simplify]: Simplify 0 into 0 13.262 * [backup-simplify]: Simplify 1 into 1 13.262 * [backup-simplify]: Simplify (/ 1 1) into 1 13.262 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 13.262 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 13.262 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 13.262 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 13.262 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 13.262 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 13.262 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 13.262 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 13.262 * [taylor]: Taking taylor expansion of lambda2 in lambda2 13.262 * [backup-simplify]: Simplify 0 into 0 13.263 * [backup-simplify]: Simplify 1 into 1 13.263 * [backup-simplify]: Simplify (/ 1 1) into 1 13.263 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 13.263 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 13.263 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 13.263 * [taylor]: Taking taylor expansion of lambda1 in lambda2 13.263 * [backup-simplify]: Simplify lambda1 into lambda1 13.263 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 13.263 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 13.263 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 13.263 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 13.263 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 13.263 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 13.263 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 13.263 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 13.264 * [backup-simplify]: Simplify (+ 0) into 0 13.264 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 13.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 13.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.265 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 13.265 * [backup-simplify]: Simplify (+ 0 0) into 0 13.265 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 13.265 * [taylor]: Taking taylor expansion of 0 in lambda2 13.265 * [backup-simplify]: Simplify 0 into 0 13.265 * [backup-simplify]: Simplify 0 into 0 13.265 * [backup-simplify]: Simplify (+ 0) into 0 13.266 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 13.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 13.266 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 13.267 * [backup-simplify]: Simplify (+ 0 0) into 0 13.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 13.267 * [backup-simplify]: Simplify 0 into 0 13.267 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.268 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 13.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 13.268 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.269 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 13.269 * [backup-simplify]: Simplify (+ 0 0) into 0 13.269 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 13.269 * [taylor]: Taking taylor expansion of 0 in lambda2 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify 0 into 0 13.269 * [backup-simplify]: Simplify 0 into 0 13.270 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.270 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 13.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 13.271 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.271 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 13.271 * [backup-simplify]: Simplify (+ 0 0) into 0 13.272 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 13.272 * [backup-simplify]: Simplify 0 into 0 13.272 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.273 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 13.274 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.274 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.275 * [backup-simplify]: Simplify (+ 0 0) into 0 13.275 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 13.275 * [taylor]: Taking taylor expansion of 0 in lambda2 13.275 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify 0 into 0 13.275 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 13.275 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 13.276 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 13.276 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 13.276 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 13.276 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 13.276 * [taylor]: Taking taylor expansion of -1 in lambda2 13.276 * [backup-simplify]: Simplify -1 into -1 13.276 * [taylor]: Taking taylor expansion of lambda1 in lambda2 13.276 * [backup-simplify]: Simplify lambda1 into lambda1 13.276 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 13.276 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 13.276 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 13.276 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 13.276 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 13.276 * [taylor]: Taking taylor expansion of -1 in lambda2 13.276 * [backup-simplify]: Simplify -1 into -1 13.276 * [taylor]: Taking taylor expansion of lambda2 in lambda2 13.276 * [backup-simplify]: Simplify 0 into 0 13.276 * [backup-simplify]: Simplify 1 into 1 13.276 * [backup-simplify]: Simplify (/ -1 1) into -1 13.276 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 13.276 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 13.276 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 13.276 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 13.276 * [taylor]: Taking taylor expansion of -1 in lambda1 13.276 * [backup-simplify]: Simplify -1 into -1 13.276 * [taylor]: Taking taylor expansion of lambda1 in lambda1 13.276 * [backup-simplify]: Simplify 0 into 0 13.276 * [backup-simplify]: Simplify 1 into 1 13.277 * [backup-simplify]: Simplify (/ -1 1) into -1 13.277 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 13.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 13.277 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 13.277 * [taylor]: Taking taylor expansion of -1 in lambda1 13.277 * [backup-simplify]: Simplify -1 into -1 13.277 * [taylor]: Taking taylor expansion of lambda2 in lambda1 13.277 * [backup-simplify]: Simplify lambda2 into lambda2 13.277 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 13.277 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 13.277 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 13.277 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 13.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 13.277 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 13.277 * [taylor]: Taking taylor expansion of -1 in lambda1 13.277 * [backup-simplify]: Simplify -1 into -1 13.277 * [taylor]: Taking taylor expansion of lambda1 in lambda1 13.277 * [backup-simplify]: Simplify 0 into 0 13.277 * [backup-simplify]: Simplify 1 into 1 13.277 * [backup-simplify]: Simplify (/ -1 1) into -1 13.277 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 13.277 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 13.277 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 13.277 * [taylor]: Taking taylor expansion of -1 in lambda1 13.277 * [backup-simplify]: Simplify -1 into -1 13.277 * [taylor]: Taking taylor expansion of lambda2 in lambda1 13.277 * [backup-simplify]: Simplify lambda2 into lambda2 13.277 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 13.277 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 13.278 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 13.278 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 13.278 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 13.278 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 13.278 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 13.278 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 13.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 13.278 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 13.278 * [taylor]: Taking taylor expansion of -1 in lambda2 13.278 * [backup-simplify]: Simplify -1 into -1 13.278 * [taylor]: Taking taylor expansion of lambda1 in lambda2 13.278 * [backup-simplify]: Simplify lambda1 into lambda1 13.278 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 13.278 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 13.278 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 13.278 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 13.278 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 13.278 * [taylor]: Taking taylor expansion of -1 in lambda2 13.278 * [backup-simplify]: Simplify -1 into -1 13.278 * [taylor]: Taking taylor expansion of lambda2 in lambda2 13.278 * [backup-simplify]: Simplify 0 into 0 13.278 * [backup-simplify]: Simplify 1 into 1 13.278 * [backup-simplify]: Simplify (/ -1 1) into -1 13.279 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 13.279 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 13.279 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 13.279 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 13.279 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 13.279 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 13.282 * [backup-simplify]: Simplify (+ 0) into 0 13.283 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 13.283 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 13.284 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.284 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 13.284 * [backup-simplify]: Simplify (+ 0 0) into 0 13.284 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 13.284 * [taylor]: Taking taylor expansion of 0 in lambda2 13.285 * [backup-simplify]: Simplify 0 into 0 13.285 * [backup-simplify]: Simplify 0 into 0 13.285 * [backup-simplify]: Simplify (+ 0) into 0 13.285 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 13.286 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 13.286 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.287 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 13.287 * [backup-simplify]: Simplify (+ 0 0) into 0 13.287 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 13.287 * [backup-simplify]: Simplify 0 into 0 13.288 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.289 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 13.289 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 13.290 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.291 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 13.291 * [backup-simplify]: Simplify (+ 0 0) into 0 13.291 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 13.291 * [taylor]: Taking taylor expansion of 0 in lambda2 13.291 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify 0 into 0 13.292 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.293 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 13.293 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 13.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 13.295 * [backup-simplify]: Simplify (+ 0 0) into 0 13.296 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 13.296 * [backup-simplify]: Simplify 0 into 0 13.297 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.297 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.297 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 13.298 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.299 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.299 * [backup-simplify]: Simplify (+ 0 0) into 0 13.300 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 13.300 * [taylor]: Taking taylor expansion of 0 in lambda2 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify 0 into 0 13.300 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 13.300 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 13.300 * [backup-simplify]: Simplify (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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))))) 13.300 * [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 13.300 * [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 13.300 * [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))))) 13.301 * [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 13.301 * [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))))) 13.301 * [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 13.301 * [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))))) 13.301 * [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 13.301 * [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))))) 13.301 * [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 13.302 * [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))))) 13.302 * [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 13.302 * [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))))) 13.302 * [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 13.302 * [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))))) 13.302 * [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 13.303 * [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))))) 13.303 * [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))))) 13.303 * [taylor]: Taking taylor expansion of 0 in phi2 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [taylor]: Taking taylor expansion of 0 in lambda1 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [taylor]: Taking taylor expansion of 0 in lambda2 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [taylor]: Taking taylor expansion of 0 in lambda1 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [taylor]: Taking taylor expansion of 0 in lambda2 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [taylor]: Taking taylor expansion of 0 in lambda2 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [taylor]: Taking taylor expansion of 0 in phi2 13.303 * [backup-simplify]: Simplify 0 into 0 13.303 * [taylor]: Taking taylor expansion of 0 in lambda1 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [taylor]: Taking taylor expansion of 0 in lambda2 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [taylor]: Taking taylor expansion of 0 in lambda1 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [taylor]: Taking taylor expansion of 0 in lambda2 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [backup-simplify]: Simplify 0 into 0 13.304 * [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))))) 13.304 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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)))))))) 13.304 * [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 13.304 * [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 13.305 * [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)))))))) 13.305 * [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 13.305 * [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)))))))) 13.305 * [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 13.306 * [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)))))))) 13.306 * [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 13.306 * [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)))))))) 13.306 * [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 13.307 * [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)))))))) 13.307 * [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 13.307 * [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)))))))) 13.307 * [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 13.307 * [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)))))))) 13.308 * [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 13.308 * [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)))))))) 13.308 * [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)))))))) 13.308 * [taylor]: Taking taylor expansion of 0 in phi2 13.308 * [backup-simplify]: Simplify 0 into 0 13.308 * [taylor]: Taking taylor expansion of 0 in lambda1 13.308 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda2 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda1 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda2 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda2 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in phi2 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda1 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda2 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda1 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [taylor]: Taking taylor expansion of 0 in lambda2 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [backup-simplify]: Simplify 0 into 0 13.309 * [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))))) 13.310 * [backup-simplify]: Simplify (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)))))))) 13.310 * [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 13.310 * [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 13.311 * [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)))))))) 13.311 * [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 13.311 * [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)))))))) 13.311 * [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 13.312 * [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)))))))) 13.312 * [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 13.312 * [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)))))))) 13.312 * [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 13.313 * [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)))))))) 13.313 * [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 13.313 * [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)))))))) 13.313 * [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 13.314 * [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)))))))) 13.314 * [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 13.314 * [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)))))))) 13.315 * [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)))))))) 13.315 * [taylor]: Taking taylor expansion of 0 in phi2 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda1 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda2 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda1 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda2 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda2 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in phi2 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda1 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda2 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda1 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [taylor]: Taking taylor expansion of 0 in lambda2 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 0 into 0 13.316 * [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))))) 13.316 * * * * [progress]: [ 3 / 4 ] generating series at (2) 13.316 * [backup-simplify]: Simplify (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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)))))) 13.316 * [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 13.316 * [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 13.316 * [taylor]: Taking taylor expansion of R in R 13.316 * [backup-simplify]: Simplify 0 into 0 13.316 * [backup-simplify]: Simplify 1 into 1 13.316 * [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 13.317 * [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))))) 13.317 * [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 lambda2 13.317 * [taylor]: Taking taylor expansion of R in lambda2 13.317 * [backup-simplify]: Simplify R into R 13.317 * [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 lambda2 13.317 * [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))))) 13.317 * [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 13.317 * [taylor]: Taking taylor expansion of R in lambda1 13.317 * [backup-simplify]: Simplify R into R 13.317 * [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 13.317 * [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))))) 13.317 * [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 phi2 13.317 * [taylor]: Taking taylor expansion of R in phi2 13.317 * [backup-simplify]: Simplify R into R 13.317 * [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 phi2 13.318 * [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))))) 13.318 * [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 phi1 13.318 * [taylor]: Taking taylor expansion of R in phi1 13.318 * [backup-simplify]: Simplify R into R 13.318 * [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 phi1 13.318 * [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))))) 13.318 * [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 phi1 13.318 * [taylor]: Taking taylor expansion of R in phi1 13.318 * [backup-simplify]: Simplify R into R 13.318 * [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 phi1 13.318 * [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))))) 13.319 * [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)))))) 13.319 * [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 phi2 13.319 * [taylor]: Taking taylor expansion of R in phi2 13.319 * [backup-simplify]: Simplify R into R 13.319 * [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 phi2 13.319 * [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))))) 13.320 * [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)))))) 13.320 * [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 13.320 * [taylor]: Taking taylor expansion of R in lambda1 13.320 * [backup-simplify]: Simplify R into R 13.320 * [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 13.320 * [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))))) 13.320 * [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)))))) 13.320 * [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 13.320 * [taylor]: Taking taylor expansion of R in lambda2 13.320 * [backup-simplify]: Simplify R into R 13.320 * [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 13.321 * [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))))) 13.321 * [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)))))) 13.321 * [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 13.321 * [taylor]: Taking taylor expansion of R in R 13.321 * [backup-simplify]: Simplify 0 into 0 13.321 * [backup-simplify]: Simplify 1 into 1 13.321 * [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 13.321 * [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))))) 13.322 * [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 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [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 13.322 * [taylor]: Taking taylor expansion of 0 in phi2 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [taylor]: Taking taylor expansion of 0 in lambda1 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [taylor]: Taking taylor expansion of 0 in lambda2 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [taylor]: Taking taylor expansion of 0 in R 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [backup-simplify]: Simplify 0 into 0 13.322 * [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 13.323 * [taylor]: Taking taylor expansion of 0 in lambda1 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [taylor]: Taking taylor expansion of 0 in lambda2 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [taylor]: Taking taylor expansion of 0 in R 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [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 13.323 * [taylor]: Taking taylor expansion of 0 in lambda2 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [taylor]: Taking taylor expansion of 0 in R 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify 0 into 0 13.323 * [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 13.323 * [taylor]: Taking taylor expansion of 0 in R 13.323 * [backup-simplify]: Simplify 0 into 0 13.324 * [backup-simplify]: Simplify 0 into 0 13.324 * [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))))) 13.325 * [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))))) 13.325 * [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 13.325 * [taylor]: Taking taylor expansion of 0 in phi2 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [taylor]: Taking taylor expansion of 0 in lambda1 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [taylor]: Taking taylor expansion of 0 in lambda2 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [taylor]: Taking taylor expansion of 0 in R 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [taylor]: Taking taylor expansion of 0 in lambda1 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in lambda2 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in R 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [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 13.326 * [taylor]: Taking taylor expansion of 0 in lambda1 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in lambda2 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in R 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in lambda2 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in R 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in lambda2 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [taylor]: Taking taylor expansion of 0 in R 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [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 13.327 * [taylor]: Taking taylor expansion of 0 in lambda2 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [taylor]: Taking taylor expansion of 0 in R 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [backup-simplify]: Simplify 0 into 0 13.328 * [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)))))) 13.328 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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) 13.328 * [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 13.329 * [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 13.329 * [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 13.329 * [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)))))))) 13.329 * [taylor]: Taking taylor expansion of R in R 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [backup-simplify]: Simplify 1 into 1 13.330 * [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)))))))) 13.330 * [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 13.330 * [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 13.331 * [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)))))))) 13.331 * [taylor]: Taking taylor expansion of R in lambda2 13.331 * [backup-simplify]: Simplify R into R 13.332 * [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) 13.332 * [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 13.332 * [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 13.333 * [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)))))))) 13.333 * [taylor]: Taking taylor expansion of R in lambda1 13.333 * [backup-simplify]: Simplify R into R 13.334 * [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)))))))) 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) 13.334 * [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 13.334 * [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 13.335 * [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)))))))) 13.335 * [taylor]: Taking taylor expansion of R in phi2 13.335 * [backup-simplify]: Simplify R into R 13.336 * [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) 13.336 * [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 phi1 13.336 * [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 phi1 13.336 * [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)))))))) 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)))))))) 13.336 * [taylor]: Taking taylor expansion of R in phi1 13.336 * [backup-simplify]: Simplify R into R 13.337 * [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)))))))) 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) 13.337 * [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 13.337 * [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 13.338 * [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)))))))) 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)))))))) 13.338 * [taylor]: Taking taylor expansion of R in phi1 13.338 * [backup-simplify]: Simplify R into R 13.339 * [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)))))))) 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) 13.339 * [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 13.339 * [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 13.340 * [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)))))))) 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)))))))) 13.340 * [taylor]: Taking taylor expansion of R in phi2 13.340 * [backup-simplify]: Simplify R into R 13.341 * [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) 13.341 * [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 lambda1 13.341 * [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)))))))) in lambda1 13.342 * [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)))))))) 13.342 * [taylor]: Taking taylor expansion of R in lambda1 13.342 * [backup-simplify]: Simplify R into R 13.343 * [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) 13.343 * [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 lambda2 13.343 * [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 lambda2 13.343 * [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)))))))) 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)))))))) 13.344 * [taylor]: Taking taylor expansion of R in lambda2 13.344 * [backup-simplify]: Simplify R into R 13.344 * [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)))))))) 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) 13.344 * [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 13.344 * [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 13.345 * [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)))))))) 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)))))))) 13.345 * [taylor]: Taking taylor expansion of R in R 13.345 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify 1 into 1 13.346 * [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)))))))) 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)))))))) 13.347 * [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)))))))) 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)))))))) 13.348 * [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 13.348 * [taylor]: Taking taylor expansion of 0 in phi2 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [taylor]: Taking taylor expansion of 0 in lambda1 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [taylor]: Taking taylor expansion of 0 in lambda2 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [taylor]: Taking taylor expansion of 0 in R 13.348 * [backup-simplify]: Simplify 0 into 0 13.349 * [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 13.349 * [taylor]: Taking taylor expansion of 0 in lambda1 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [taylor]: Taking taylor expansion of 0 in lambda2 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [taylor]: Taking taylor expansion of 0 in R 13.349 * [backup-simplify]: Simplify 0 into 0 13.350 * [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 13.350 * [taylor]: Taking taylor expansion of 0 in lambda2 13.350 * [backup-simplify]: Simplify 0 into 0 13.350 * [taylor]: Taking taylor expansion of 0 in R 13.350 * [backup-simplify]: Simplify 0 into 0 13.350 * [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 13.350 * [taylor]: Taking taylor expansion of 0 in R 13.350 * [backup-simplify]: Simplify 0 into 0 13.352 * [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 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [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)) (* 0 (/ 0 R)))) into 0 13.352 * [taylor]: Taking taylor expansion of 0 in phi2 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [taylor]: Taking taylor expansion of 0 in lambda1 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [taylor]: Taking taylor expansion of 0 in lambda2 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [taylor]: Taking taylor expansion of 0 in R 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [taylor]: Taking taylor expansion of 0 in lambda1 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [taylor]: Taking taylor expansion of 0 in lambda2 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in R 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [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 13.353 * [taylor]: Taking taylor expansion of 0 in lambda1 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in lambda2 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in R 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in lambda2 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in R 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in lambda2 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [taylor]: Taking taylor expansion of 0 in R 13.353 * [backup-simplify]: Simplify 0 into 0 13.354 * [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)) (* 0 (/ 0 R)))) into 0 13.354 * [taylor]: Taking taylor expansion of 0 in lambda2 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [taylor]: Taking taylor expansion of 0 in R 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [taylor]: Taking taylor expansion of 0 in R 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [taylor]: Taking taylor expansion of 0 in R 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [taylor]: Taking taylor expansion of 0 in R 13.354 * [backup-simplify]: Simplify 0 into 0 13.355 * [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)) (* 0 (/ 0 R)))) into 0 13.355 * [taylor]: Taking taylor expansion of 0 in R 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 0 into 0 13.355 * [backup-simplify]: Simplify 0 into 0 13.356 * [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 13.356 * [backup-simplify]: Simplify 0 into 0 13.357 * [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) 13.358 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)) 13.358 * [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 13.358 * [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 13.358 * [taylor]: Taking taylor expansion of -1 in R 13.358 * [backup-simplify]: Simplify -1 into -1 13.358 * [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 13.358 * [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 13.358 * [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)))))))) 13.358 * [taylor]: Taking taylor expansion of R in R 13.358 * [backup-simplify]: Simplify 0 into 0 13.358 * [backup-simplify]: Simplify 1 into 1 13.359 * [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)))))))) 13.359 * [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 13.359 * [taylor]: Taking taylor expansion of -1 in lambda2 13.359 * [backup-simplify]: Simplify -1 into -1 13.359 * [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 13.359 * [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 13.359 * [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)))))))) 13.359 * [taylor]: Taking taylor expansion of R in lambda2 13.359 * [backup-simplify]: Simplify R into R 13.360 * [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) 13.360 * [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 13.360 * [taylor]: Taking taylor expansion of -1 in lambda1 13.360 * [backup-simplify]: Simplify -1 into -1 13.360 * [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 13.360 * [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 13.360 * [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)))))))) 13.360 * [taylor]: Taking taylor expansion of R in lambda1 13.360 * [backup-simplify]: Simplify R into R 13.361 * [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) 13.361 * [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 13.361 * [taylor]: Taking taylor expansion of -1 in phi2 13.361 * [backup-simplify]: Simplify -1 into -1 13.361 * [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 13.361 * [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 13.361 * [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)))))))) 13.361 * [taylor]: Taking taylor expansion of R in phi2 13.361 * [backup-simplify]: Simplify R into R 13.362 * [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) 13.362 * [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 13.362 * [taylor]: Taking taylor expansion of -1 in phi1 13.362 * [backup-simplify]: Simplify -1 into -1 13.362 * [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 13.362 * [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 13.362 * [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)))))))) 13.362 * [taylor]: Taking taylor expansion of R in phi1 13.362 * [backup-simplify]: Simplify R into R 13.363 * [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) 13.363 * [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 13.363 * [taylor]: Taking taylor expansion of -1 in phi1 13.363 * [backup-simplify]: Simplify -1 into -1 13.363 * [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 13.363 * [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 13.363 * [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)))))))) 13.363 * [taylor]: Taking taylor expansion of R in phi1 13.363 * [backup-simplify]: Simplify R into R 13.364 * [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) 13.364 * [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)) 13.364 * [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 13.364 * [taylor]: Taking taylor expansion of -1 in phi2 13.365 * [backup-simplify]: Simplify -1 into -1 13.365 * [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 13.365 * [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 13.365 * [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)))))))) 13.365 * [taylor]: Taking taylor expansion of R in phi2 13.365 * [backup-simplify]: Simplify R into R 13.365 * [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) 13.366 * [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)) 13.366 * [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 13.366 * [taylor]: Taking taylor expansion of -1 in lambda1 13.366 * [backup-simplify]: Simplify -1 into -1 13.366 * [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 13.366 * [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 13.366 * [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)))))))) 13.367 * [taylor]: Taking taylor expansion of R in lambda1 13.367 * [backup-simplify]: Simplify R into R 13.367 * [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) 13.367 * [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)) 13.367 * [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 13.368 * [taylor]: Taking taylor expansion of -1 in lambda2 13.368 * [backup-simplify]: Simplify -1 into -1 13.368 * [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 13.368 * [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 13.368 * [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)))))))) 13.368 * [taylor]: Taking taylor expansion of R in lambda2 13.368 * [backup-simplify]: Simplify R into R 13.368 * [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) 13.369 * [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)) 13.369 * [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 13.369 * [taylor]: Taking taylor expansion of -1 in R 13.369 * [backup-simplify]: Simplify -1 into -1 13.369 * [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 13.369 * [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 13.369 * [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)))))))) 13.370 * [taylor]: Taking taylor expansion of R in R 13.370 * [backup-simplify]: Simplify 0 into 0 13.370 * [backup-simplify]: Simplify 1 into 1 13.370 * [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)))))))) 13.370 * [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))))))))) 13.371 * [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))))))))) 13.371 * [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 13.372 * [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 13.372 * [taylor]: Taking taylor expansion of 0 in phi2 13.372 * [backup-simplify]: Simplify 0 into 0 13.372 * [taylor]: Taking taylor expansion of 0 in lambda1 13.372 * [backup-simplify]: Simplify 0 into 0 13.373 * [taylor]: Taking taylor expansion of 0 in lambda2 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [taylor]: Taking taylor expansion of 0 in R 13.373 * [backup-simplify]: Simplify 0 into 0 13.375 * [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 13.376 * [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 13.376 * [taylor]: Taking taylor expansion of 0 in lambda1 13.376 * [backup-simplify]: Simplify 0 into 0 13.376 * [taylor]: Taking taylor expansion of 0 in lambda2 13.376 * [backup-simplify]: Simplify 0 into 0 13.376 * [taylor]: Taking taylor expansion of 0 in R 13.376 * [backup-simplify]: Simplify 0 into 0 13.377 * [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 13.377 * [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 13.377 * [taylor]: Taking taylor expansion of 0 in lambda2 13.377 * [backup-simplify]: Simplify 0 into 0 13.377 * [taylor]: Taking taylor expansion of 0 in R 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [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 13.379 * [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 13.379 * [taylor]: Taking taylor expansion of 0 in R 13.379 * [backup-simplify]: Simplify 0 into 0 13.380 * [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 13.381 * [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 13.381 * [backup-simplify]: Simplify 0 into 0 13.382 * [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 13.384 * [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 13.384 * [taylor]: Taking taylor expansion of 0 in phi2 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 lambda2 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [taylor]: Taking taylor expansion of 0 in R 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 lambda2 13.384 * [backup-simplify]: Simplify 0 into 0 13.384 * [taylor]: Taking taylor expansion of 0 in R 13.384 * [backup-simplify]: Simplify 0 into 0 13.385 * [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 13.387 * [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 13.387 * [taylor]: Taking taylor expansion of 0 in lambda1 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [taylor]: Taking taylor expansion of 0 in lambda2 13.387 * [backup-simplify]: Simplify 0 into 0 13.387 * [taylor]: Taking taylor expansion of 0 in R 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [taylor]: Taking taylor expansion of 0 in lambda2 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [taylor]: Taking taylor expansion of 0 in R 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [taylor]: Taking taylor expansion of 0 in lambda2 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [taylor]: Taking taylor expansion of 0 in R 13.388 * [backup-simplify]: Simplify 0 into 0 13.389 * [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 13.391 * [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 13.391 * [taylor]: Taking taylor expansion of 0 in lambda2 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [taylor]: Taking taylor expansion of 0 in R 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [taylor]: Taking taylor expansion of 0 in R 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [taylor]: Taking taylor expansion of 0 in R 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [taylor]: Taking taylor expansion of 0 in R 13.391 * [backup-simplify]: Simplify 0 into 0 13.392 * [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 13.394 * [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 13.394 * [taylor]: Taking taylor expansion of 0 in R 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 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 0 into 0 13.396 * [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 13.398 * [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 13.398 * [backup-simplify]: Simplify 0 into 0 13.401 * [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)))))) 13.401 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 13.401 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 13.401 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 13.401 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 13.401 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 13.401 * [taylor]: Taking taylor expansion of phi1 in phi2 13.401 * [backup-simplify]: Simplify phi1 into phi1 13.401 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 13.401 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 13.401 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 13.401 * [taylor]: Taking taylor expansion of phi2 in phi2 13.401 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify 1 into 1 13.401 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 13.401 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 13.402 * [taylor]: Taking taylor expansion of phi1 in phi1 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify 1 into 1 13.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 13.402 * [taylor]: Taking taylor expansion of phi2 in phi1 13.402 * [backup-simplify]: Simplify phi2 into phi2 13.402 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 13.402 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 13.402 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 13.402 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 13.402 * [taylor]: Taking taylor expansion of phi1 in phi1 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify 1 into 1 13.402 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 13.402 * [taylor]: Taking taylor expansion of phi2 in phi1 13.402 * [backup-simplify]: Simplify phi2 into phi2 13.402 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 13.402 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 13.402 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 13.402 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 13.402 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 13.402 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 13.402 * [taylor]: Taking taylor expansion of 0 in phi2 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify 0 into 0 13.403 * [backup-simplify]: Simplify (+ 0) into 0 13.404 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 13.405 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.405 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 13.405 * [backup-simplify]: Simplify (+ 0 0) into 0 13.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 13.407 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 13.407 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 13.407 * [taylor]: Taking taylor expansion of phi2 in phi2 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [backup-simplify]: Simplify 1 into 1 13.407 * [backup-simplify]: Simplify 0 into 0 13.407 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.408 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 13.409 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.410 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 13.410 * [backup-simplify]: Simplify (+ 0 0) into 0 13.411 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.412 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 13.412 * [taylor]: Taking taylor expansion of 0 in phi2 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify 0 into 0 13.412 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 13.412 * [backup-simplify]: Simplify 1 into 1 13.412 * [backup-simplify]: Simplify 0 into 0 13.413 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.414 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.416 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.416 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.417 * [backup-simplify]: Simplify (+ 0 0) into 0 13.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 13.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 13.420 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 13.420 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 13.420 * [taylor]: Taking taylor expansion of 1/6 in phi2 13.420 * [backup-simplify]: Simplify 1/6 into 1/6 13.420 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 13.420 * [taylor]: Taking taylor expansion of phi2 in phi2 13.420 * [backup-simplify]: Simplify 0 into 0 13.420 * [backup-simplify]: Simplify 1 into 1 13.420 * [backup-simplify]: Simplify (* 1/6 0) into 0 13.421 * [backup-simplify]: Simplify (- 0) into 0 13.421 * [backup-simplify]: Simplify 0 into 0 13.421 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.422 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify 0 into 0 13.424 * [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 13.425 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 13.426 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.426 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 13.426 * [backup-simplify]: Simplify (+ 0 0) into 0 13.427 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 13.428 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 13.428 * [taylor]: Taking taylor expansion of 0 in phi2 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify 0 into 0 13.428 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 13.429 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.429 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 13.429 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 13.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 13.429 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 13.429 * [taylor]: Taking taylor expansion of phi2 in phi2 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 1 into 1 13.429 * [backup-simplify]: Simplify (/ 1 1) into 1 13.429 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 13.429 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 13.429 * [taylor]: Taking taylor expansion of phi1 in phi2 13.429 * [backup-simplify]: Simplify phi1 into phi1 13.429 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 13.429 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.429 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 13.429 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 13.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 13.429 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 13.429 * [taylor]: Taking taylor expansion of phi2 in phi1 13.429 * [backup-simplify]: Simplify phi2 into phi2 13.429 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 13.429 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.429 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 13.429 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 13.429 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 13.429 * [taylor]: Taking taylor expansion of phi1 in phi1 13.429 * [backup-simplify]: Simplify 0 into 0 13.429 * [backup-simplify]: Simplify 1 into 1 13.430 * [backup-simplify]: Simplify (/ 1 1) into 1 13.430 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.430 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 13.430 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 13.430 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 13.430 * [taylor]: Taking taylor expansion of phi2 in phi1 13.430 * [backup-simplify]: Simplify phi2 into phi2 13.430 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 13.430 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.430 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 13.430 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 13.430 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 13.430 * [taylor]: Taking taylor expansion of phi1 in phi1 13.430 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify 1 into 1 13.430 * [backup-simplify]: Simplify (/ 1 1) into 1 13.430 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.430 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 13.430 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 13.431 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 13.431 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.431 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 13.431 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 13.431 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 13.431 * [taylor]: Taking taylor expansion of phi2 in phi2 13.431 * [backup-simplify]: Simplify 0 into 0 13.431 * [backup-simplify]: Simplify 1 into 1 13.431 * [backup-simplify]: Simplify (/ 1 1) into 1 13.431 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 13.431 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 13.431 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 13.431 * [taylor]: Taking taylor expansion of phi1 in phi2 13.431 * [backup-simplify]: Simplify phi1 into phi1 13.431 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 13.431 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 13.431 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 13.431 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 13.431 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 13.431 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 13.431 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.432 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 13.432 * [backup-simplify]: Simplify (+ 0) into 0 13.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 13.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 13.433 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.433 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 13.433 * [backup-simplify]: Simplify (+ 0 0) into 0 13.433 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 13.433 * [taylor]: Taking taylor expansion of 0 in phi2 13.433 * [backup-simplify]: Simplify 0 into 0 13.433 * [backup-simplify]: Simplify 0 into 0 13.434 * [backup-simplify]: Simplify (+ 0) into 0 13.434 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 13.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 13.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.435 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 13.435 * [backup-simplify]: Simplify (+ 0 0) into 0 13.435 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 13.435 * [backup-simplify]: Simplify 0 into 0 13.436 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 13.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 13.437 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 13.437 * [backup-simplify]: Simplify (+ 0 0) into 0 13.438 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 13.438 * [taylor]: Taking taylor expansion of 0 in phi2 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 13.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 13.439 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 13.440 * [backup-simplify]: Simplify (+ 0 0) into 0 13.440 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 13.440 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.441 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 13.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.443 * [backup-simplify]: Simplify (+ 0 0) into 0 13.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 13.443 * [taylor]: Taking taylor expansion of 0 in phi2 13.443 * [backup-simplify]: Simplify 0 into 0 13.444 * [backup-simplify]: Simplify 0 into 0 13.444 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 13.444 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.444 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 13.444 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 13.444 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 13.444 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 13.444 * [taylor]: Taking taylor expansion of -1 in phi2 13.444 * [backup-simplify]: Simplify -1 into -1 13.444 * [taylor]: Taking taylor expansion of phi1 in phi2 13.444 * [backup-simplify]: Simplify phi1 into phi1 13.444 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 13.444 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.444 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 13.444 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 13.444 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 13.444 * [taylor]: Taking taylor expansion of -1 in phi2 13.444 * [backup-simplify]: Simplify -1 into -1 13.444 * [taylor]: Taking taylor expansion of phi2 in phi2 13.444 * [backup-simplify]: Simplify 0 into 0 13.444 * [backup-simplify]: Simplify 1 into 1 13.444 * [backup-simplify]: Simplify (/ -1 1) into -1 13.444 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.444 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 13.444 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 13.444 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 13.445 * [taylor]: Taking taylor expansion of -1 in phi1 13.445 * [backup-simplify]: Simplify -1 into -1 13.445 * [taylor]: Taking taylor expansion of phi1 in phi1 13.445 * [backup-simplify]: Simplify 0 into 0 13.445 * [backup-simplify]: Simplify 1 into 1 13.445 * [backup-simplify]: Simplify (/ -1 1) into -1 13.445 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.445 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 13.445 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 13.445 * [taylor]: Taking taylor expansion of -1 in phi1 13.445 * [backup-simplify]: Simplify -1 into -1 13.445 * [taylor]: Taking taylor expansion of phi2 in phi1 13.445 * [backup-simplify]: Simplify phi2 into phi2 13.445 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 13.445 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.445 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 13.445 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 13.445 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 13.445 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 13.445 * [taylor]: Taking taylor expansion of -1 in phi1 13.445 * [backup-simplify]: Simplify -1 into -1 13.445 * [taylor]: Taking taylor expansion of phi1 in phi1 13.445 * [backup-simplify]: Simplify 0 into 0 13.445 * [backup-simplify]: Simplify 1 into 1 13.446 * [backup-simplify]: Simplify (/ -1 1) into -1 13.446 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 13.446 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 13.446 * [taylor]: Taking taylor expansion of -1 in phi1 13.446 * [backup-simplify]: Simplify -1 into -1 13.446 * [taylor]: Taking taylor expansion of phi2 in phi1 13.446 * [backup-simplify]: Simplify phi2 into phi2 13.446 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 13.446 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.446 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 13.446 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 13.446 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 13.446 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 13.446 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.446 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 13.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 13.446 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 13.446 * [taylor]: Taking taylor expansion of -1 in phi2 13.446 * [backup-simplify]: Simplify -1 into -1 13.446 * [taylor]: Taking taylor expansion of phi1 in phi2 13.446 * [backup-simplify]: Simplify phi1 into phi1 13.446 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 13.446 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 13.446 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 13.446 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 13.446 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 13.446 * [taylor]: Taking taylor expansion of -1 in phi2 13.446 * [backup-simplify]: Simplify -1 into -1 13.446 * [taylor]: Taking taylor expansion of phi2 in phi2 13.446 * [backup-simplify]: Simplify 0 into 0 13.446 * [backup-simplify]: Simplify 1 into 1 13.447 * [backup-simplify]: Simplify (/ -1 1) into -1 13.447 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 13.447 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 13.447 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 13.447 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 13.447 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.447 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 13.447 * [backup-simplify]: Simplify (+ 0) into 0 13.448 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 13.448 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 13.448 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.449 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 13.449 * [backup-simplify]: Simplify (+ 0 0) into 0 13.449 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 13.449 * [taylor]: Taking taylor expansion of 0 in phi2 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify (+ 0) into 0 13.450 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 13.450 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 13.450 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 13.450 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 13.451 * [backup-simplify]: Simplify (+ 0 0) into 0 13.451 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 13.451 * [backup-simplify]: Simplify 0 into 0 13.451 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.452 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 13.452 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 13.452 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.453 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 13.453 * [backup-simplify]: Simplify (+ 0 0) into 0 13.454 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 13.454 * [taylor]: Taking taylor expansion of 0 in phi2 13.454 * [backup-simplify]: Simplify 0 into 0 13.454 * [backup-simplify]: Simplify 0 into 0 13.454 * [backup-simplify]: Simplify 0 into 0 13.455 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 13.456 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 13.456 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 13.457 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 13.457 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 13.457 * [backup-simplify]: Simplify (+ 0 0) into 0 13.458 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 13.458 * [backup-simplify]: Simplify 0 into 0 13.459 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 13.460 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.460 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 13.462 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 13.463 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 13.463 * [backup-simplify]: Simplify (+ 0 0) into 0 13.464 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 13.464 * [taylor]: Taking taylor expansion of 0 in phi2 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify 0 into 0 13.464 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 13.464 * * * [progress]: simplifying candidates 13.464 * * * * [progress]: [ 1 / 83 ] simplifiying candidate # 13.465 * * * * [progress]: [ 2 / 83 ] simplifiying candidate # 13.465 * * * * [progress]: [ 3 / 83 ] simplifiying candidate # 13.465 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 13.465 * * [simplify]: iters left: 6 (9 enodes) 13.469 * * [simplify]: iters left: 5 (32 enodes) 13.473 * * [simplify]: iters left: 4 (42 enodes) 13.481 * * [simplify]: iters left: 3 (55 enodes) 13.492 * * [simplify]: iters left: 2 (82 enodes) 13.516 * * [simplify]: iters left: 1 (147 enodes) 13.572 * * [simplify]: Extracting #0: cost 1 inf + 0 13.573 * * [simplify]: Extracting #1: cost 4 inf + 0 13.573 * * [simplify]: Extracting #2: cost 7 inf + 0 13.573 * * [simplify]: Extracting #3: cost 9 inf + 0 13.573 * * [simplify]: Extracting #4: cost 29 inf + 0 13.573 * * [simplify]: Extracting #5: cost 81 inf + 1 13.574 * * [simplify]: Extracting #6: cost 88 inf + 728 13.575 * * [simplify]: Extracting #7: cost 51 inf + 7790 13.580 * * [simplify]: Extracting #8: cost 10 inf + 27988 13.586 * * [simplify]: Extracting #9: cost 0 inf + 35489 13.589 * * [simplify]: Extracting #10: cost 0 inf + 35027 13.593 * * [simplify]: Extracting #11: cost 0 inf + 34987 13.596 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 13.596 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 13.596 * * * * [progress]: [ 4 / 83 ] simplifiying candidate # 13.597 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 13.597 * * [simplify]: iters left: 6 (8 enodes) 13.598 * * [simplify]: iters left: 5 (27 enodes) 13.602 * * [simplify]: iters left: 4 (35 enodes) 13.608 * * [simplify]: iters left: 3 (49 enodes) 13.618 * * [simplify]: iters left: 2 (76 enodes) 13.644 * * [simplify]: iters left: 1 (141 enodes) 13.697 * * [simplify]: Extracting #0: cost 1 inf + 0 13.697 * * [simplify]: Extracting #1: cost 3 inf + 0 13.697 * * [simplify]: Extracting #2: cost 6 inf + 0 13.697 * * [simplify]: Extracting #3: cost 31 inf + 0 13.697 * * [simplify]: Extracting #4: cost 85 inf + 1 13.698 * * [simplify]: Extracting #5: cost 85 inf + 1064 13.700 * * [simplify]: Extracting #6: cost 53 inf + 5478 13.703 * * [simplify]: Extracting #7: cost 20 inf + 18813 13.709 * * [simplify]: Extracting #8: cost 1 inf + 30565 13.715 * * [simplify]: Extracting #9: cost 0 inf + 30837 13.719 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 13.719 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 13.719 * * * * [progress]: [ 5 / 83 ] simplifiying candidate # 13.719 * [simplify]: Simplifying (log 1) 13.719 * * [simplify]: iters left: 1 (2 enodes) 13.721 * * [simplify]: Extracting #0: cost 1 inf + 0 13.721 * * [simplify]: Extracting #1: cost 0 inf + 1 13.721 * [simplify]: Simplified to 0 13.721 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ 0 (log (exp (* (sin lambda1) (sin lambda2))))))))) R)) 13.721 * * * * [progress]: [ 6 / 83 ] simplifiying candidate # 13.721 * [simplify]: Simplifying (sin lambda2) 13.721 * * [simplify]: iters left: 1 (2 enodes) 13.721 * * [simplify]: Extracting #0: cost 1 inf + 0 13.721 * * [simplify]: Extracting #1: cost 3 inf + 0 13.721 * * [simplify]: Extracting #2: cost 2 inf + 1 13.721 * * [simplify]: Extracting #3: cost 0 inf + 123 13.722 * [simplify]: Simplified to (sin lambda2) 13.722 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 13.722 * * * * [progress]: [ 7 / 83 ] simplifiying candidate # 13.722 * * * * [progress]: [ 8 / 83 ] simplifiying candidate # 13.722 * [simplify]: Simplifying (sin lambda2) 13.722 * * [simplify]: iters left: 1 (2 enodes) 13.722 * * [simplify]: Extracting #0: cost 1 inf + 0 13.722 * * [simplify]: Extracting #1: cost 3 inf + 0 13.722 * * [simplify]: Extracting #2: cost 2 inf + 1 13.722 * * [simplify]: Extracting #3: cost 0 inf + 123 13.722 * [simplify]: Simplified to (sin lambda2) 13.722 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 13.723 * * * * [progress]: [ 9 / 83 ] simplifiying candidate # 13.723 * * * * [progress]: [ 10 / 83 ] simplifiying candidate # 13.723 * [simplify]: Simplifying (sin lambda1) 13.723 * * [simplify]: iters left: 1 (2 enodes) 13.723 * * [simplify]: Extracting #0: cost 1 inf + 0 13.723 * * [simplify]: Extracting #1: cost 3 inf + 0 13.723 * * [simplify]: Extracting #2: cost 2 inf + 1 13.723 * * [simplify]: Extracting #3: cost 0 inf + 123 13.723 * [simplify]: Simplified to (sin lambda1) 13.723 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 13.723 * * * * [progress]: [ 11 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 12 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 13 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 14 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 15 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 16 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 17 / 83 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 13.724 * * * * [progress]: [ 18 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 19 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 20 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 21 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 22 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 23 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 24 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 25 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 26 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 27 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 28 / 83 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 13.724 * * * * [progress]: [ 29 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 30 / 83 ] simplifiying candidate # 13.724 * * * * [progress]: [ 31 / 83 ] simplifiying candidate # 13.725 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 13.725 * * [simplify]: iters left: 6 (24 enodes) 13.730 * * [simplify]: iters left: 5 (90 enodes) 13.753 * * [simplify]: iters left: 4 (171 enodes) 13.817 * * [simplify]: iters left: 3 (342 enodes) 13.900 * * [simplify]: Extracting #0: cost 1 inf + 0 13.900 * * [simplify]: Extracting #1: cost 4 inf + 0 13.900 * * [simplify]: Extracting #2: cost 5 inf + 1 13.901 * * [simplify]: Extracting #3: cost 34 inf + 1 13.901 * * [simplify]: Extracting #4: cost 107 inf + 1 13.902 * * [simplify]: Extracting #5: cost 117 inf + 817 13.907 * * [simplify]: Extracting #6: cost 77 inf + 11543 13.914 * * [simplify]: Extracting #7: cost 19 inf + 35399 13.924 * * [simplify]: Extracting #8: cost 0 inf + 42563 13.932 * * [simplify]: Extracting #9: cost 0 inf + 42444 13.944 * * [simplify]: Extracting #10: cost 0 inf + 42246 13.959 * [simplify]: Simplified to (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R) 13.959 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R) 1)) 13.960 * * * * [progress]: [ 32 / 83 ] simplifiying candidate # 13.960 * * * * [progress]: [ 33 / 83 ] simplifiying candidate # 13.960 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) 13.960 * * [simplify]: iters left: 6 (26 enodes) 13.970 * * [simplify]: iters left: 5 (96 enodes) 13.986 * * [simplify]: iters left: 4 (177 enodes) 14.024 * * [simplify]: iters left: 3 (349 enodes) 14.146 * * [simplify]: Extracting #0: cost 1 inf + 0 14.146 * * [simplify]: Extracting #1: cost 4 inf + 0 14.146 * * [simplify]: Extracting #2: cost 8 inf + 0 14.146 * * [simplify]: Extracting #3: cost 9 inf + 1 14.147 * * [simplify]: Extracting #4: cost 37 inf + 72 14.147 * * [simplify]: Extracting #5: cost 109 inf + 143 14.148 * * [simplify]: Extracting #6: cost 115 inf + 1203 14.153 * * [simplify]: Extracting #7: cost 76 inf + 13089 14.160 * * [simplify]: Extracting #8: cost 18 inf + 36871 14.169 * * [simplify]: Extracting #9: cost 0 inf + 44693 14.177 * * [simplify]: Extracting #10: cost 0 inf + 44416 14.185 * [simplify]: Simplified to (+ (log R) (log (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) 14.185 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))))) 14.185 * * * * [progress]: [ 34 / 83 ] simplifiying candidate # 14.185 * * * * [progress]: [ 35 / 83 ] simplifiying candidate # 14.185 * * * * [progress]: [ 36 / 83 ] simplifiying candidate # 14.186 * [simplify]: Simplifying (* (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) 14.186 * * [simplify]: iters left: 6 (28 enodes) 14.192 * * [simplify]: iters left: 5 (108 enodes) 14.213 * * [simplify]: iters left: 4 (218 enodes) 14.275 * * [simplify]: iters left: 3 (446 enodes) 14.416 * * [simplify]: Extracting #0: cost 1 inf + 0 14.416 * * [simplify]: Extracting #1: cost 30 inf + 0 14.416 * * [simplify]: Extracting #2: cost 57 inf + 1 14.416 * * [simplify]: Extracting #3: cost 84 inf + 44 14.417 * * [simplify]: Extracting #4: cost 152 inf + 460 14.418 * * [simplify]: Extracting #5: cost 158 inf + 2024 14.421 * * [simplify]: Extracting #6: cost 115 inf + 16452 14.428 * * [simplify]: Extracting #7: cost 64 inf + 36515 14.444 * * [simplify]: Extracting #8: cost 8 inf + 80887 14.474 * * [simplify]: Extracting #9: cost 0 inf + 85463 14.508 * * [simplify]: Extracting #10: cost 0 inf + 85344 14.529 * [simplify]: Simplified to (* (* (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)) 14.529 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))) R)))) 14.529 * * * * [progress]: [ 37 / 83 ] simplifiying candidate # 14.530 * * * * [progress]: [ 38 / 83 ] simplifiying candidate # 14.530 * * * * [progress]: [ 39 / 83 ] simplifiying candidate # 14.530 * * * * [progress]: [ 40 / 83 ] simplifiying candidate # 14.530 * * * * [progress]: [ 41 / 83 ] simplifiying candidate # 14.530 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 14.530 * * [simplify]: iters left: 6 (26 enodes) 14.536 * * [simplify]: iters left: 5 (96 enodes) 14.552 * * [simplify]: iters left: 4 (177 enodes) 14.622 * * [simplify]: iters left: 3 (349 enodes) 14.735 * * [simplify]: Extracting #0: cost 1 inf + 0 14.735 * * [simplify]: Extracting #1: cost 4 inf + 0 14.735 * * [simplify]: Extracting #2: cost 8 inf + 0 14.735 * * [simplify]: Extracting #3: cost 9 inf + 1 14.735 * * [simplify]: Extracting #4: cost 37 inf + 42 14.736 * * [simplify]: Extracting #5: cost 109 inf + 83 14.737 * * [simplify]: Extracting #6: cost 115 inf + 1143 14.743 * * [simplify]: Extracting #7: cost 76 inf + 13029 14.755 * * [simplify]: Extracting #8: cost 18 inf + 36721 14.763 * * [simplify]: Extracting #9: cost 0 inf + 44453 14.771 * * [simplify]: Extracting #10: cost 0 inf + 44176 14.787 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) 14.787 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)))) 14.788 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 14.788 * * [simplify]: iters left: 6 (26 enodes) 14.799 * * [simplify]: iters left: 5 (96 enodes) 14.835 * * [simplify]: iters left: 4 (177 enodes) 14.898 * * [simplify]: iters left: 3 (349 enodes) 14.981 * * [simplify]: Extracting #0: cost 1 inf + 0 14.981 * * [simplify]: Extracting #1: cost 4 inf + 0 14.981 * * [simplify]: Extracting #2: cost 8 inf + 0 14.981 * * [simplify]: Extracting #3: cost 9 inf + 1 14.982 * * [simplify]: Extracting #4: cost 37 inf + 42 14.982 * * [simplify]: Extracting #5: cost 109 inf + 83 14.983 * * [simplify]: Extracting #6: cost 115 inf + 1143 14.989 * * [simplify]: Extracting #7: cost 76 inf + 13029 15.007 * * [simplify]: Extracting #8: cost 18 inf + 36721 15.018 * * [simplify]: Extracting #9: cost 0 inf + 44453 15.026 * * [simplify]: Extracting #10: cost 0 inf + 44176 15.034 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) 15.034 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt R) (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))))) 15.034 * * * * [progress]: [ 42 / 83 ] simplifiying candidate # 15.034 * [simplify]: Simplifying (cbrt R) 15.034 * * [simplify]: iters left: 1 (2 enodes) 15.035 * * [simplify]: Extracting #0: cost 1 inf + 0 15.035 * * [simplify]: Extracting #1: cost 3 inf + 0 15.035 * * [simplify]: Extracting #2: cost 2 inf + 1 15.035 * * [simplify]: Extracting #3: cost 0 inf + 163 15.035 * [simplify]: Simplified to (cbrt R) 15.035 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R))) 15.035 * * * * [progress]: [ 43 / 83 ] simplifiying candidate # 15.035 * [simplify]: Simplifying (sqrt R) 15.035 * * [simplify]: iters left: 1 (2 enodes) 15.036 * * [simplify]: Extracting #0: cost 1 inf + 0 15.036 * * [simplify]: Extracting #1: cost 3 inf + 0 15.036 * * [simplify]: Extracting #2: cost 2 inf + 1 15.036 * * [simplify]: Extracting #3: cost 0 inf + 83 15.036 * [simplify]: Simplified to (sqrt R) 15.036 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R))) 15.036 * * * * [progress]: [ 44 / 83 ] simplifiying candidate # 15.036 * * * * [progress]: [ 45 / 83 ] simplifiying candidate # 15.036 * [simplify]: Simplifying (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 15.036 * * [simplify]: iters left: 6 (24 enodes) 15.042 * * [simplify]: iters left: 5 (89 enodes) 15.064 * * [simplify]: iters left: 4 (170 enodes) 15.136 * * [simplify]: iters left: 3 (341 enodes) 15.276 * * [simplify]: Extracting #0: cost 1 inf + 0 15.276 * * [simplify]: Extracting #1: cost 3 inf + 0 15.276 * * [simplify]: Extracting #2: cost 5 inf + 0 15.276 * * [simplify]: Extracting #3: cost 7 inf + 0 15.276 * * [simplify]: Extracting #4: cost 36 inf + 0 15.277 * * [simplify]: Extracting #5: cost 112 inf + 0 15.278 * * [simplify]: Extracting #6: cost 122 inf + 816 15.283 * * [simplify]: Extracting #7: cost 78 inf + 12437 15.297 * * [simplify]: Extracting #8: cost 16 inf + 37338 15.313 * * [simplify]: Extracting #9: cost 0 inf + 45997 15.329 * * [simplify]: Extracting #10: cost 0 inf + 45878 15.345 * * [simplify]: Extracting #11: cost 0 inf + 45680 15.361 * [simplify]: Simplified to (* (cbrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) 15.361 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 15.362 * * * * [progress]: [ 46 / 83 ] simplifiying candidate # 15.362 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 15.362 * * [simplify]: iters left: 6 (23 enodes) 15.372 * * [simplify]: iters left: 5 (86 enodes) 15.405 * * [simplify]: iters left: 4 (167 enodes) 15.468 * * [simplify]: iters left: 3 (342 enodes) 15.551 * * [simplify]: Extracting #0: cost 1 inf + 0 15.551 * * [simplify]: Extracting #1: cost 3 inf + 0 15.551 * * [simplify]: Extracting #2: cost 5 inf + 0 15.551 * * [simplify]: Extracting #3: cost 34 inf + 0 15.551 * * [simplify]: Extracting #4: cost 107 inf + 0 15.552 * * [simplify]: Extracting #5: cost 116 inf + 877 15.554 * * [simplify]: Extracting #6: cost 74 inf + 12411 15.564 * * [simplify]: Extracting #7: cost 21 inf + 34002 15.581 * * [simplify]: Extracting #8: cost 4 inf + 39979 15.597 * * [simplify]: Extracting #9: cost 0 inf + 42323 15.606 * * [simplify]: Extracting #10: cost 0 inf + 42243 15.614 * [simplify]: Simplified to (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) 15.614 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (fma (* (cos phi1) (cos phi2)) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 15.614 * * * * [progress]: [ 47 / 83 ] simplifiying candidate # 15.614 * * * * [progress]: [ 48 / 83 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> 15.614 * * * * [progress]: [ 49 / 83 ] simplifiying candidate # 15.614 * * * * [progress]: [ 50 / 83 ] simplifiying candidate # 15.614 * * * * [progress]: [ 51 / 83 ] simplifiying candidate # 15.615 * * * * [progress]: [ 52 / 83 ] simplifiying candidate # 15.615 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 15.615 * * [simplify]: iters left: 5 (7 enodes) 15.616 * * [simplify]: iters left: 4 (26 enodes) 15.620 * * [simplify]: iters left: 3 (32 enodes) 15.624 * * [simplify]: Extracting #0: cost 1 inf + 0 15.624 * * [simplify]: Extracting #1: cost 5 inf + 0 15.624 * * [simplify]: Extracting #2: cost 10 inf + 0 15.624 * * [simplify]: Extracting #3: cost 15 inf + 0 15.624 * * [simplify]: Extracting #4: cost 13 inf + 43 15.624 * * [simplify]: Extracting #5: cost 4 inf + 800 15.625 * * [simplify]: Extracting #6: cost 1 inf + 1186 15.625 * * [simplify]: Extracting #7: cost 0 inf + 1428 15.625 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 15.625 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (/ (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 15.625 * * * * [progress]: [ 53 / 83 ] simplifiying candidate # 15.625 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 15.625 * * [simplify]: iters left: 3 (5 enodes) 15.627 * * [simplify]: iters left: 2 (16 enodes) 15.629 * * [simplify]: Extracting #0: cost 1 inf + 0 15.629 * * [simplify]: Extracting #1: cost 4 inf + 0 15.629 * * [simplify]: Extracting #2: cost 8 inf + 0 15.629 * * [simplify]: Extracting #3: cost 4 inf + 124 15.629 * * [simplify]: Extracting #4: cost 0 inf + 570 15.629 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 15.629 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (pow (* (sin phi2) (sin phi1)) 1) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 15.629 * * * * [progress]: [ 54 / 83 ] simplifiying candidate # 15.629 * * * * [progress]: [ 55 / 83 ] simplifiying candidate # 15.629 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 15.629 * * [simplify]: iters left: 4 (7 enodes) 15.631 * * [simplify]: iters left: 3 (22 enodes) 15.634 * * [simplify]: Extracting #0: cost 1 inf + 0 15.634 * * [simplify]: Extracting #1: cost 4 inf + 0 15.634 * * [simplify]: Extracting #2: cost 8 inf + 0 15.634 * * [simplify]: Extracting #3: cost 12 inf + 0 15.634 * * [simplify]: Extracting #4: cost 10 inf + 2 15.634 * * [simplify]: Extracting #5: cost 4 inf + 508 15.634 * * [simplify]: Extracting #6: cost 1 inf + 1072 15.635 * * [simplify]: Extracting #7: cost 0 inf + 1374 15.635 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 15.635 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (exp (+ (log (sin phi2)) (log (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 15.635 * * * * [progress]: [ 56 / 83 ] simplifiying candidate # 15.635 * * * * [progress]: [ 57 / 83 ] simplifiying candidate # 15.635 * * * * [progress]: [ 58 / 83 ] simplifiying candidate # 15.635 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 15.635 * * [simplify]: iters left: 6 (9 enodes) 15.639 * * [simplify]: iters left: 5 (34 enodes) 15.649 * * [simplify]: iters left: 4 (63 enodes) 15.674 * * [simplify]: iters left: 3 (122 enodes) 15.725 * * [simplify]: iters left: 2 (196 enodes) 15.788 * * [simplify]: iters left: 1 (356 enodes) 15.971 * * [simplify]: Extracting #0: cost 1 inf + 0 15.971 * * [simplify]: Extracting #1: cost 70 inf + 0 15.972 * * [simplify]: Extracting #2: cost 169 inf + 1 15.973 * * [simplify]: Extracting #3: cost 154 inf + 2658 15.980 * * [simplify]: Extracting #4: cost 86 inf + 31524 15.998 * * [simplify]: Extracting #5: cost 7 inf + 77226 16.013 * * [simplify]: Extracting #6: cost 0 inf + 81813 16.022 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 16.022 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (cbrt (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.022 * * * * [progress]: [ 59 / 83 ] simplifiying candidate # 16.022 * * * * [progress]: [ 60 / 83 ] simplifiying candidate # 16.022 * * * * [progress]: [ 61 / 83 ] simplifiying candidate # 16.022 * * * * [progress]: [ 62 / 83 ] simplifiying candidate # 16.022 * * * * [progress]: [ 63 / 83 ] simplifiying candidate # 16.023 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 16.023 * * [simplify]: iters left: 4 (7 enodes) 16.024 * * [simplify]: iters left: 3 (22 enodes) 16.027 * * [simplify]: Extracting #0: cost 1 inf + 0 16.027 * * [simplify]: Extracting #1: cost 4 inf + 0 16.027 * * [simplify]: Extracting #2: cost 8 inf + 0 16.027 * * [simplify]: Extracting #3: cost 12 inf + 0 16.027 * * [simplify]: Extracting #4: cost 10 inf + 2 16.027 * * [simplify]: Extracting #5: cost 4 inf + 448 16.027 * * [simplify]: Extracting #6: cost 1 inf + 892 16.028 * * [simplify]: Extracting #7: cost 0 inf + 1134 16.028 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 16.028 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.028 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 16.028 * * [simplify]: iters left: 4 (7 enodes) 16.030 * * [simplify]: iters left: 3 (22 enodes) 16.033 * * [simplify]: Extracting #0: cost 1 inf + 0 16.033 * * [simplify]: Extracting #1: cost 4 inf + 0 16.033 * * [simplify]: Extracting #2: cost 8 inf + 0 16.033 * * [simplify]: Extracting #3: cost 12 inf + 0 16.033 * * [simplify]: Extracting #4: cost 10 inf + 2 16.033 * * [simplify]: Extracting #5: cost 4 inf + 448 16.033 * * [simplify]: Extracting #6: cost 1 inf + 892 16.033 * * [simplify]: Extracting #7: cost 0 inf + 1134 16.033 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 16.033 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sqrt (sin phi1)) (sqrt (sin phi2))) (* (sqrt (sin phi1)) (sqrt (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.033 * * * * [progress]: [ 64 / 83 ] simplifiying candidate # 16.034 * [simplify]: Simplifying (cbrt (sin phi2)) 16.034 * * [simplify]: iters left: 2 (3 enodes) 16.034 * * [simplify]: iters left: 1 (9 enodes) 16.036 * * [simplify]: Extracting #0: cost 1 inf + 0 16.036 * * [simplify]: Extracting #1: cost 3 inf + 0 16.036 * * [simplify]: Extracting #2: cost 5 inf + 0 16.036 * * [simplify]: Extracting #3: cost 4 inf + 1 16.036 * * [simplify]: Extracting #4: cost 0 inf + 405 16.036 * [simplify]: Simplified to (cbrt (sin phi2)) 16.036 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (* (cbrt (sin phi2)) (cbrt (sin phi2)))) (cbrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.036 * * * * [progress]: [ 65 / 83 ] simplifiying candidate # 16.036 * [simplify]: Simplifying (sqrt (sin phi2)) 16.036 * * [simplify]: iters left: 2 (3 enodes) 16.037 * * [simplify]: iters left: 1 (9 enodes) 16.038 * * [simplify]: Extracting #0: cost 1 inf + 0 16.038 * * [simplify]: Extracting #1: cost 3 inf + 0 16.038 * * [simplify]: Extracting #2: cost 5 inf + 0 16.038 * * [simplify]: Extracting #3: cost 4 inf + 1 16.038 * * [simplify]: Extracting #4: cost 0 inf + 325 16.038 * [simplify]: Simplified to (sqrt (sin phi2)) 16.038 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) (sqrt (sin phi2))) (sqrt (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.039 * * * * [progress]: [ 66 / 83 ] simplifiying candidate # 16.039 * [simplify]: Simplifying (sin phi2) 16.039 * * [simplify]: iters left: 1 (2 enodes) 16.039 * * [simplify]: Extracting #0: cost 1 inf + 0 16.039 * * [simplify]: Extracting #1: cost 3 inf + 0 16.039 * * [simplify]: Extracting #2: cost 2 inf + 1 16.039 * * [simplify]: Extracting #3: cost 0 inf + 123 16.039 * [simplify]: Simplified to (sin phi2) 16.039 * [simplify]: Simplified (2 1 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (sin phi1) 1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.040 * * * * [progress]: [ 67 / 83 ] simplifiying candidate # 16.040 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 16.040 * * [simplify]: iters left: 4 (4 enodes) 16.041 * * [simplify]: iters left: 3 (12 enodes) 16.044 * * [simplify]: Extracting #0: cost 1 inf + 0 16.044 * * [simplify]: Extracting #1: cost 3 inf + 0 16.044 * * [simplify]: Extracting #2: cost 5 inf + 0 16.044 * * [simplify]: Extracting #3: cost 7 inf + 0 16.045 * * [simplify]: Extracting #4: cost 6 inf + 1 16.045 * * [simplify]: Extracting #5: cost 0 inf + 767 16.045 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 16.045 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (* (cbrt (sin phi1)) (cbrt (sin phi1))) (* (cbrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.045 * * * * [progress]: [ 68 / 83 ] simplifiying candidate # 16.045 * [simplify]: Simplifying (sqrt (sin phi1)) 16.046 * * [simplify]: iters left: 2 (3 enodes) 16.047 * * [simplify]: iters left: 1 (9 enodes) 16.049 * * [simplify]: Extracting #0: cost 1 inf + 0 16.049 * * [simplify]: Extracting #1: cost 3 inf + 0 16.049 * * [simplify]: Extracting #2: cost 5 inf + 0 16.050 * * [simplify]: Extracting #3: cost 4 inf + 1 16.050 * * [simplify]: Extracting #4: cost 0 inf + 325 16.050 * [simplify]: Simplified to (sqrt (sin phi1)) 16.050 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sqrt (sin phi1)) (* (sqrt (sin phi1)) (sin phi2))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 16.050 * * * * [progress]: [ 69 / 83 ] simplifiying candidate # 16.050 * * * * [progress]: [ 70 / 83 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> 16.050 * * * * [progress]: [ 71 / 83 ] simplifiying candidate # 16.050 * * * * [progress]: [ 72 / 83 ] simplifiying candidate # 16.051 * [simplify]: Simplifying (* lambda2 lambda1) 16.051 * * [simplify]: iters left: 2 (3 enodes) 16.052 * * [simplify]: iters left: 1 (10 enodes) 16.055 * * [simplify]: Extracting #0: cost 1 inf + 0 16.055 * * [simplify]: Extracting #1: cost 4 inf + 0 16.055 * * [simplify]: Extracting #2: cost 2 inf + 2 16.055 * * [simplify]: Extracting #3: cost 0 inf + 86 16.055 * [simplify]: Simplified to (* lambda2 lambda1) 16.055 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R)) 16.055 * * * * [progress]: [ 73 / 83 ] simplifiying candidate # 16.055 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 16.056 * * [simplify]: iters left: 3 (5 enodes) 16.057 * * [simplify]: iters left: 2 (16 enodes) 16.059 * * [simplify]: Extracting #0: cost 1 inf + 0 16.059 * * [simplify]: Extracting #1: cost 4 inf + 0 16.060 * * [simplify]: Extracting #2: cost 8 inf + 0 16.060 * * [simplify]: Extracting #3: cost 4 inf + 124 16.060 * * [simplify]: Extracting #4: cost 0 inf + 570 16.060 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 16.060 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 16.060 * * * * [progress]: [ 74 / 83 ] simplifiying candidate # 16.060 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 16.060 * * [simplify]: iters left: 3 (5 enodes) 16.061 * * [simplify]: iters left: 2 (16 enodes) 16.063 * * [simplify]: Extracting #0: cost 1 inf + 0 16.063 * * [simplify]: Extracting #1: cost 4 inf + 0 16.064 * * [simplify]: Extracting #2: cost 8 inf + 0 16.064 * * [simplify]: Extracting #3: cost 4 inf + 124 16.064 * * [simplify]: Extracting #4: cost 0 inf + 570 16.064 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 16.064 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 16.064 * * * * [progress]: [ 75 / 83 ] simplifiying candidate # 16.064 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 16.064 * * [simplify]: iters left: 6 (22 enodes) 16.069 * * [simplify]: iters left: 5 (86 enodes) 16.084 * * [simplify]: iters left: 4 (152 enodes) 16.146 * * [simplify]: iters left: 3 (310 enodes) 16.213 * * [simplify]: iters left: 2 (400 enodes) 16.275 * * [simplify]: iters left: 1 (402 enodes) 16.323 * * [simplify]: Extracting #0: cost 1 inf + 0 16.323 * * [simplify]: Extracting #1: cost 3 inf + 0 16.323 * * [simplify]: Extracting #2: cost 40 inf + 0 16.323 * * [simplify]: Extracting #3: cost 80 inf + 0 16.324 * * [simplify]: Extracting #4: cost 66 inf + 1018 16.326 * * [simplify]: Extracting #5: cost 25 inf + 9814 16.335 * * [simplify]: Extracting #6: cost 2 inf + 17660 16.345 * * [simplify]: Extracting #7: cost 1 inf + 18424 16.351 * * [simplify]: Extracting #8: cost 0 inf + 19228 16.357 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) 16.357 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R)) 16.357 * * * * [progress]: [ 76 / 83 ] simplifiying candidate # 16.357 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 16.357 * * [simplify]: iters left: 6 (22 enodes) 16.363 * * [simplify]: iters left: 5 (86 enodes) 16.380 * * [simplify]: iters left: 4 (152 enodes) 16.443 * * [simplify]: iters left: 3 (310 enodes) 16.527 * * [simplify]: iters left: 2 (400 enodes) 16.584 * * [simplify]: iters left: 1 (402 enodes) 16.629 * * [simplify]: Extracting #0: cost 1 inf + 0 16.629 * * [simplify]: Extracting #1: cost 3 inf + 0 16.629 * * [simplify]: Extracting #2: cost 40 inf + 0 16.630 * * [simplify]: Extracting #3: cost 80 inf + 0 16.630 * * [simplify]: Extracting #4: cost 63 inf + 1403 16.633 * * [simplify]: Extracting #5: cost 22 inf + 10199 16.640 * * [simplify]: Extracting #6: cost 2 inf + 17660 16.650 * * [simplify]: Extracting #7: cost 1 inf + 18424 16.661 * * [simplify]: Extracting #8: cost 0 inf + 19228 16.668 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 16.668 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 16.668 * * * * [progress]: [ 77 / 83 ] simplifiying candidate # 16.669 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 16.669 * * [simplify]: iters left: 6 (22 enodes) 16.674 * * [simplify]: iters left: 5 (86 enodes) 16.688 * * [simplify]: iters left: 4 (152 enodes) 16.727 * * [simplify]: iters left: 3 (310 enodes) 16.813 * * [simplify]: iters left: 2 (400 enodes) 16.871 * * [simplify]: iters left: 1 (402 enodes) 16.912 * * [simplify]: Extracting #0: cost 1 inf + 0 16.912 * * [simplify]: Extracting #1: cost 3 inf + 0 16.912 * * [simplify]: Extracting #2: cost 40 inf + 0 16.912 * * [simplify]: Extracting #3: cost 80 inf + 0 16.913 * * [simplify]: Extracting #4: cost 66 inf + 1018 16.915 * * [simplify]: Extracting #5: cost 25 inf + 9814 16.921 * * [simplify]: Extracting #6: cost 2 inf + 17660 16.932 * * [simplify]: Extracting #7: cost 1 inf + 18424 16.943 * * [simplify]: Extracting #8: cost 0 inf + 19228 16.953 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) 16.953 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R)) 16.953 * * * * [progress]: [ 78 / 83 ] simplifiying candidate # 16.953 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 16.954 * * [simplify]: iters left: 6 (24 enodes) 16.959 * * [simplify]: iters left: 5 (93 enodes) 16.974 * * [simplify]: iters left: 4 (159 enodes) 17.032 * * [simplify]: iters left: 3 (317 enodes) 17.124 * * [simplify]: iters left: 2 (409 enodes) 17.566 * * [simplify]: iters left: 1 (412 enodes) 17.623 * * [simplify]: Extracting #0: cost 1 inf + 0 17.624 * * [simplify]: Extracting #1: cost 4 inf + 0 17.624 * * [simplify]: Extracting #2: cost 5 inf + 1 17.624 * * [simplify]: Extracting #3: cost 42 inf + 1 17.625 * * [simplify]: Extracting #4: cost 82 inf + 1 17.625 * * [simplify]: Extracting #5: cost 73 inf + 411 17.628 * * [simplify]: Extracting #6: cost 34 inf + 7786 17.637 * * [simplify]: Extracting #7: cost 4 inf + 18252 17.648 * * [simplify]: Extracting #8: cost 1 inf + 20074 17.656 * * [simplify]: Extracting #9: cost 0 inf + 20919 17.661 * [simplify]: Simplified to (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1))))) 17.661 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1)))))) 17.662 * * * * [progress]: [ 79 / 83 ] simplifiying candidate # 17.662 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 17.662 * * [simplify]: iters left: 6 (24 enodes) 17.667 * * [simplify]: iters left: 5 (93 enodes) 17.684 * * [simplify]: iters left: 4 (159 enodes) 17.751 * * [simplify]: iters left: 3 (318 enodes) 17.827 * * [simplify]: iters left: 2 (407 enodes) 17.884 * * [simplify]: iters left: 1 (409 enodes) 17.942 * * [simplify]: Extracting #0: cost 1 inf + 0 17.943 * * [simplify]: Extracting #1: cost 4 inf + 0 17.943 * * [simplify]: Extracting #2: cost 5 inf + 1 17.943 * * [simplify]: Extracting #3: cost 42 inf + 1 17.943 * * [simplify]: Extracting #4: cost 82 inf + 1 17.944 * * [simplify]: Extracting #5: cost 64 inf + 1465 17.946 * * [simplify]: Extracting #6: cost 23 inf + 12212 17.951 * * [simplify]: Extracting #7: cost 3 inf + 19788 17.957 * * [simplify]: Extracting #8: cost 0 inf + 20999 17.964 * * [simplify]: Extracting #9: cost 0 inf + 20919 17.975 * [simplify]: Simplified to (* (acos (fma (cos phi2) (* (cos phi1) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))) R) 17.976 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (cos phi2) (* (cos phi1) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))) R)) 17.976 * * * * [progress]: [ 80 / 83 ] simplifiying candidate # 17.976 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 17.976 * * [simplify]: iters left: 6 (24 enodes) 17.987 * * [simplify]: iters left: 5 (93 enodes) 18.018 * * [simplify]: iters left: 4 (159 enodes) 18.070 * * [simplify]: iters left: 3 (317 enodes) 18.171 * * [simplify]: iters left: 2 (409 enodes) 18.224 * * [simplify]: iters left: 1 (412 enodes) 18.281 * * [simplify]: Extracting #0: cost 1 inf + 0 18.281 * * [simplify]: Extracting #1: cost 4 inf + 0 18.281 * * [simplify]: Extracting #2: cost 5 inf + 1 18.281 * * [simplify]: Extracting #3: cost 42 inf + 1 18.282 * * [simplify]: Extracting #4: cost 82 inf + 1 18.283 * * [simplify]: Extracting #5: cost 73 inf + 411 18.285 * * [simplify]: Extracting #6: cost 34 inf + 7786 18.296 * * [simplify]: Extracting #7: cost 4 inf + 18252 18.307 * * [simplify]: Extracting #8: cost 1 inf + 20074 18.318 * * [simplify]: Extracting #9: cost 0 inf + 20919 18.329 * [simplify]: Simplified to (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1))))) 18.329 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1)))))) 18.329 * * * * [progress]: [ 81 / 83 ] simplifiying candidate # 18.330 * [simplify]: Simplifying (* phi1 phi2) 18.330 * * [simplify]: iters left: 2 (3 enodes) 18.331 * * [simplify]: iters left: 1 (10 enodes) 18.334 * * [simplify]: Extracting #0: cost 1 inf + 0 18.334 * * [simplify]: Extracting #1: cost 4 inf + 0 18.334 * * [simplify]: Extracting #2: cost 2 inf + 2 18.334 * * [simplify]: Extracting #3: cost 0 inf + 86 18.334 * [simplify]: Simplified to (* phi1 phi2) 18.334 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.334 * * * * [progress]: [ 82 / 83 ] simplifiying candidate # 18.334 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 18.335 * * [simplify]: iters left: 3 (5 enodes) 18.337 * * [simplify]: iters left: 2 (16 enodes) 18.341 * * [simplify]: Extracting #0: cost 1 inf + 0 18.341 * * [simplify]: Extracting #1: cost 4 inf + 0 18.341 * * [simplify]: Extracting #2: cost 8 inf + 0 18.341 * * [simplify]: Extracting #3: cost 4 inf + 124 18.342 * * [simplify]: Extracting #4: cost 0 inf + 570 18.342 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 18.342 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.342 * * * * [progress]: [ 83 / 83 ] simplifiying candidate # 18.342 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 18.343 * * [simplify]: iters left: 3 (5 enodes) 18.345 * * [simplify]: iters left: 2 (16 enodes) 18.349 * * [simplify]: Extracting #0: cost 1 inf + 0 18.349 * * [simplify]: Extracting #1: cost 4 inf + 0 18.349 * * [simplify]: Extracting #2: cost 8 inf + 0 18.349 * * [simplify]: Extracting #3: cost 4 inf + 124 18.349 * * [simplify]: Extracting #4: cost 0 inf + 570 18.349 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 18.349 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 18.350 * * * [progress]: adding candidates to table 20.512 * * [progress]: iteration 4 / 4 20.512 * * * [progress]: picking best candidate 20.737 * * * * [pick]: Picked # 20.737 * * * [progress]: localizing error 20.819 * * * [progress]: generating rewritten candidates 20.819 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 20.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 20.836 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 20.839 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 20.848 * * * [progress]: generating series expansions 20.848 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 20.848 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 20.848 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 20.848 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 20.848 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 20.848 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.848 * [backup-simplify]: Simplify lambda1 into lambda1 20.848 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 20.848 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 20.848 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 20.848 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.848 * [backup-simplify]: Simplify 0 into 0 20.848 * [backup-simplify]: Simplify 1 into 1 20.849 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 20.849 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 20.849 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.849 * [backup-simplify]: Simplify 0 into 0 20.849 * [backup-simplify]: Simplify 1 into 1 20.849 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 20.849 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.849 * [backup-simplify]: Simplify lambda2 into lambda2 20.849 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 20.849 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 20.849 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 20.849 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 20.849 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.849 * [backup-simplify]: Simplify 0 into 0 20.849 * [backup-simplify]: Simplify 1 into 1 20.849 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 20.849 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.849 * [backup-simplify]: Simplify lambda2 into lambda2 20.849 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 20.849 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 20.849 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 20.849 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 20.849 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 20.849 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 20.849 * [taylor]: Taking taylor expansion of 0 in lambda2 20.849 * [backup-simplify]: Simplify 0 into 0 20.849 * [backup-simplify]: Simplify 0 into 0 20.850 * [backup-simplify]: Simplify (+ 0) into 0 20.850 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 20.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.851 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 20.851 * [backup-simplify]: Simplify (+ 0 0) into 0 20.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 20.852 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 20.852 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 20.852 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.852 * [backup-simplify]: Simplify 0 into 0 20.852 * [backup-simplify]: Simplify 1 into 1 20.852 * [backup-simplify]: Simplify 0 into 0 20.852 * [backup-simplify]: Simplify 0 into 0 20.853 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.853 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 20.853 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.854 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 20.854 * [backup-simplify]: Simplify (+ 0 0) into 0 20.854 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.855 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 20.855 * [taylor]: Taking taylor expansion of 0 in lambda2 20.855 * [backup-simplify]: Simplify 0 into 0 20.855 * [backup-simplify]: Simplify 0 into 0 20.855 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 20.855 * [backup-simplify]: Simplify 1 into 1 20.856 * [backup-simplify]: Simplify 0 into 0 20.856 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.857 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.857 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.858 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.858 * [backup-simplify]: Simplify (+ 0 0) into 0 20.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 20.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 20.860 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 20.860 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 20.860 * [taylor]: Taking taylor expansion of 1/6 in lambda2 20.860 * [backup-simplify]: Simplify 1/6 into 1/6 20.860 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 20.860 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.860 * [backup-simplify]: Simplify 0 into 0 20.860 * [backup-simplify]: Simplify 1 into 1 20.860 * [backup-simplify]: Simplify (* 1/6 0) into 0 20.860 * [backup-simplify]: Simplify (- 0) into 0 20.860 * [backup-simplify]: Simplify 0 into 0 20.860 * [backup-simplify]: Simplify 0 into 0 20.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.861 * [backup-simplify]: Simplify 0 into 0 20.861 * [backup-simplify]: Simplify 0 into 0 20.862 * [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 20.863 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.864 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.864 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.864 * [backup-simplify]: Simplify (+ 0 0) into 0 20.865 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 20.866 * [taylor]: Taking taylor expansion of 0 in lambda2 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 20.866 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.866 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 20.866 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 20.866 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 20.866 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 20.866 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.866 * [backup-simplify]: Simplify 0 into 0 20.866 * [backup-simplify]: Simplify 1 into 1 20.867 * [backup-simplify]: Simplify (/ 1 1) into 1 20.867 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.867 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 20.867 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 20.867 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.867 * [backup-simplify]: Simplify lambda1 into lambda1 20.867 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 20.867 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.867 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 20.867 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 20.867 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 20.867 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 20.867 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.867 * [backup-simplify]: Simplify lambda2 into lambda2 20.867 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 20.867 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.867 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 20.867 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 20.867 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 20.867 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.867 * [backup-simplify]: Simplify 0 into 0 20.867 * [backup-simplify]: Simplify 1 into 1 20.867 * [backup-simplify]: Simplify (/ 1 1) into 1 20.867 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.867 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 20.868 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 20.868 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 20.868 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.868 * [backup-simplify]: Simplify lambda2 into lambda2 20.868 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 20.868 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.868 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 20.868 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 20.868 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 20.868 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.868 * [backup-simplify]: Simplify 0 into 0 20.868 * [backup-simplify]: Simplify 1 into 1 20.868 * [backup-simplify]: Simplify (/ 1 1) into 1 20.868 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.868 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 20.868 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 20.868 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 20.868 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.868 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 20.868 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 20.868 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 20.868 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.868 * [backup-simplify]: Simplify 0 into 0 20.868 * [backup-simplify]: Simplify 1 into 1 20.869 * [backup-simplify]: Simplify (/ 1 1) into 1 20.869 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 20.869 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 20.869 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 20.869 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.869 * [backup-simplify]: Simplify lambda1 into lambda1 20.869 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 20.869 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 20.869 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 20.869 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 20.869 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 20.869 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 20.869 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.869 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 20.870 * [backup-simplify]: Simplify (+ 0) into 0 20.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 20.870 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 20.870 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 20.871 * [backup-simplify]: Simplify (+ 0 0) into 0 20.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 20.871 * [taylor]: Taking taylor expansion of 0 in lambda2 20.871 * [backup-simplify]: Simplify 0 into 0 20.871 * [backup-simplify]: Simplify 0 into 0 20.871 * [backup-simplify]: Simplify (+ 0) into 0 20.872 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 20.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 20.872 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.873 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 20.873 * [backup-simplify]: Simplify (+ 0 0) into 0 20.873 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 20.873 * [backup-simplify]: Simplify 0 into 0 20.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.874 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.875 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.875 * [backup-simplify]: Simplify (+ 0 0) into 0 20.875 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 20.875 * [taylor]: Taking taylor expansion of 0 in lambda2 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.875 * [backup-simplify]: Simplify 0 into 0 20.876 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 20.877 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.878 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.878 * [backup-simplify]: Simplify (+ 0 0) into 0 20.879 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 20.879 * [backup-simplify]: Simplify 0 into 0 20.880 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.881 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.882 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.884 * [backup-simplify]: Simplify (+ 0 0) into 0 20.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 20.885 * [taylor]: Taking taylor expansion of 0 in lambda2 20.885 * [backup-simplify]: Simplify 0 into 0 20.885 * [backup-simplify]: Simplify 0 into 0 20.885 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 20.885 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.885 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 20.885 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 20.885 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 20.886 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 20.886 * [taylor]: Taking taylor expansion of -1 in lambda2 20.886 * [backup-simplify]: Simplify -1 into -1 20.886 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.886 * [backup-simplify]: Simplify lambda1 into lambda1 20.886 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 20.886 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.886 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 20.886 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 20.886 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 20.886 * [taylor]: Taking taylor expansion of -1 in lambda2 20.886 * [backup-simplify]: Simplify -1 into -1 20.886 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.886 * [backup-simplify]: Simplify 0 into 0 20.886 * [backup-simplify]: Simplify 1 into 1 20.887 * [backup-simplify]: Simplify (/ -1 1) into -1 20.887 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.887 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 20.887 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 20.887 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 20.887 * [taylor]: Taking taylor expansion of -1 in lambda1 20.887 * [backup-simplify]: Simplify -1 into -1 20.887 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.887 * [backup-simplify]: Simplify 0 into 0 20.887 * [backup-simplify]: Simplify 1 into 1 20.888 * [backup-simplify]: Simplify (/ -1 1) into -1 20.888 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.888 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 20.888 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 20.888 * [taylor]: Taking taylor expansion of -1 in lambda1 20.888 * [backup-simplify]: Simplify -1 into -1 20.888 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.888 * [backup-simplify]: Simplify lambda2 into lambda2 20.888 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 20.888 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.888 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 20.888 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 20.888 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 20.888 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 20.888 * [taylor]: Taking taylor expansion of -1 in lambda1 20.888 * [backup-simplify]: Simplify -1 into -1 20.888 * [taylor]: Taking taylor expansion of lambda1 in lambda1 20.888 * [backup-simplify]: Simplify 0 into 0 20.888 * [backup-simplify]: Simplify 1 into 1 20.889 * [backup-simplify]: Simplify (/ -1 1) into -1 20.889 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.889 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 20.889 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 20.889 * [taylor]: Taking taylor expansion of -1 in lambda1 20.889 * [backup-simplify]: Simplify -1 into -1 20.889 * [taylor]: Taking taylor expansion of lambda2 in lambda1 20.889 * [backup-simplify]: Simplify lambda2 into lambda2 20.889 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 20.889 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.889 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 20.889 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 20.889 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 20.889 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 20.890 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.890 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 20.890 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 20.890 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 20.890 * [taylor]: Taking taylor expansion of -1 in lambda2 20.890 * [backup-simplify]: Simplify -1 into -1 20.890 * [taylor]: Taking taylor expansion of lambda1 in lambda2 20.890 * [backup-simplify]: Simplify lambda1 into lambda1 20.890 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 20.890 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 20.890 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 20.890 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 20.890 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 20.890 * [taylor]: Taking taylor expansion of -1 in lambda2 20.890 * [backup-simplify]: Simplify -1 into -1 20.890 * [taylor]: Taking taylor expansion of lambda2 in lambda2 20.890 * [backup-simplify]: Simplify 0 into 0 20.890 * [backup-simplify]: Simplify 1 into 1 20.891 * [backup-simplify]: Simplify (/ -1 1) into -1 20.891 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 20.891 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 20.891 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 20.891 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 20.891 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.891 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 20.892 * [backup-simplify]: Simplify (+ 0) into 0 20.892 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 20.892 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 20.893 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 20.894 * [backup-simplify]: Simplify (+ 0 0) into 0 20.894 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 20.894 * [taylor]: Taking taylor expansion of 0 in lambda2 20.894 * [backup-simplify]: Simplify 0 into 0 20.894 * [backup-simplify]: Simplify 0 into 0 20.895 * [backup-simplify]: Simplify (+ 0) into 0 20.895 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 20.895 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 20.896 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.897 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 20.897 * [backup-simplify]: Simplify (+ 0 0) into 0 20.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 20.897 * [backup-simplify]: Simplify 0 into 0 20.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.899 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.899 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.901 * [backup-simplify]: Simplify (+ 0 0) into 0 20.902 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 20.902 * [taylor]: Taking taylor expansion of 0 in lambda2 20.902 * [backup-simplify]: Simplify 0 into 0 20.902 * [backup-simplify]: Simplify 0 into 0 20.902 * [backup-simplify]: Simplify 0 into 0 20.903 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.903 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.904 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 20.904 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.905 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.906 * [backup-simplify]: Simplify (+ 0 0) into 0 20.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 20.906 * [backup-simplify]: Simplify 0 into 0 20.907 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.908 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 20.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.910 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.911 * [backup-simplify]: Simplify (+ 0 0) into 0 20.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 20.912 * [taylor]: Taking taylor expansion of 0 in lambda2 20.912 * [backup-simplify]: Simplify 0 into 0 20.912 * [backup-simplify]: Simplify 0 into 0 20.912 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 20.912 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 20.912 * [backup-simplify]: Simplify (log (exp (* (sin phi1) (sin phi2)))) into (* (sin phi1) (sin phi2)) 20.912 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 20.912 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 20.912 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 20.912 * [taylor]: Taking taylor expansion of phi1 in phi2 20.912 * [backup-simplify]: Simplify phi1 into phi1 20.913 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 20.913 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 20.913 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 20.913 * [taylor]: Taking taylor expansion of phi2 in phi2 20.913 * [backup-simplify]: Simplify 0 into 0 20.913 * [backup-simplify]: Simplify 1 into 1 20.913 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 20.913 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 20.913 * [taylor]: Taking taylor expansion of phi1 in phi1 20.913 * [backup-simplify]: Simplify 0 into 0 20.913 * [backup-simplify]: Simplify 1 into 1 20.913 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 20.913 * [taylor]: Taking taylor expansion of phi2 in phi1 20.913 * [backup-simplify]: Simplify phi2 into phi2 20.913 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 20.913 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 20.913 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 20.913 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 20.913 * [taylor]: Taking taylor expansion of phi1 in phi1 20.913 * [backup-simplify]: Simplify 0 into 0 20.913 * [backup-simplify]: Simplify 1 into 1 20.913 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 20.913 * [taylor]: Taking taylor expansion of phi2 in phi1 20.913 * [backup-simplify]: Simplify phi2 into phi2 20.913 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 20.913 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 20.913 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 20.913 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 20.914 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 20.914 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 20.914 * [taylor]: Taking taylor expansion of 0 in phi2 20.914 * [backup-simplify]: Simplify 0 into 0 20.914 * [backup-simplify]: Simplify 0 into 0 20.914 * [backup-simplify]: Simplify (+ 0) into 0 20.915 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 20.916 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.916 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 20.916 * [backup-simplify]: Simplify (+ 0 0) into 0 20.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 20.917 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 20.917 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 20.918 * [taylor]: Taking taylor expansion of phi2 in phi2 20.918 * [backup-simplify]: Simplify 0 into 0 20.918 * [backup-simplify]: Simplify 1 into 1 20.918 * [backup-simplify]: Simplify 0 into 0 20.918 * [backup-simplify]: Simplify 0 into 0 20.919 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.919 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 20.920 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.921 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 20.921 * [backup-simplify]: Simplify (+ 0 0) into 0 20.922 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.923 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 20.923 * [taylor]: Taking taylor expansion of 0 in phi2 20.923 * [backup-simplify]: Simplify 0 into 0 20.923 * [backup-simplify]: Simplify 0 into 0 20.923 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 20.923 * [backup-simplify]: Simplify 1 into 1 20.924 * [backup-simplify]: Simplify 0 into 0 20.924 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.925 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.927 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.928 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.928 * [backup-simplify]: Simplify (+ 0 0) into 0 20.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 20.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 20.931 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 20.931 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 20.931 * [taylor]: Taking taylor expansion of 1/6 in phi2 20.931 * [backup-simplify]: Simplify 1/6 into 1/6 20.931 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 20.931 * [taylor]: Taking taylor expansion of phi2 in phi2 20.931 * [backup-simplify]: Simplify 0 into 0 20.931 * [backup-simplify]: Simplify 1 into 1 20.932 * [backup-simplify]: Simplify (* 1/6 0) into 0 20.932 * [backup-simplify]: Simplify (- 0) into 0 20.932 * [backup-simplify]: Simplify 0 into 0 20.932 * [backup-simplify]: Simplify 0 into 0 20.933 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.933 * [backup-simplify]: Simplify 0 into 0 20.933 * [backup-simplify]: Simplify 0 into 0 20.935 * [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 20.936 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.937 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.938 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 20.938 * [backup-simplify]: Simplify (+ 0 0) into 0 20.939 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 20.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 20.940 * [taylor]: Taking taylor expansion of 0 in phi2 20.940 * [backup-simplify]: Simplify 0 into 0 20.940 * [backup-simplify]: Simplify 0 into 0 20.940 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 20.940 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 20.940 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 20.940 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 20.940 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 20.940 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 20.940 * [taylor]: Taking taylor expansion of phi2 in phi2 20.940 * [backup-simplify]: Simplify 0 into 0 20.940 * [backup-simplify]: Simplify 1 into 1 20.943 * [backup-simplify]: Simplify (/ 1 1) into 1 20.943 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 20.943 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 20.943 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 20.943 * [taylor]: Taking taylor expansion of phi1 in phi2 20.943 * [backup-simplify]: Simplify phi1 into phi1 20.943 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 20.943 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 20.944 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 20.944 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 20.944 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 20.944 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 20.944 * [taylor]: Taking taylor expansion of phi2 in phi1 20.944 * [backup-simplify]: Simplify phi2 into phi2 20.944 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 20.944 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 20.944 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 20.944 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 20.944 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 20.944 * [taylor]: Taking taylor expansion of phi1 in phi1 20.944 * [backup-simplify]: Simplify 0 into 0 20.944 * [backup-simplify]: Simplify 1 into 1 20.944 * [backup-simplify]: Simplify (/ 1 1) into 1 20.944 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 20.944 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 20.944 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 20.945 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 20.945 * [taylor]: Taking taylor expansion of phi2 in phi1 20.945 * [backup-simplify]: Simplify phi2 into phi2 20.945 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 20.945 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 20.945 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 20.945 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 20.945 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 20.945 * [taylor]: Taking taylor expansion of phi1 in phi1 20.945 * [backup-simplify]: Simplify 0 into 0 20.945 * [backup-simplify]: Simplify 1 into 1 20.946 * [backup-simplify]: Simplify (/ 1 1) into 1 20.946 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 20.946 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 20.946 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 20.946 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 20.946 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 20.946 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 20.946 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 20.946 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 20.946 * [taylor]: Taking taylor expansion of phi2 in phi2 20.946 * [backup-simplify]: Simplify 0 into 0 20.946 * [backup-simplify]: Simplify 1 into 1 20.947 * [backup-simplify]: Simplify (/ 1 1) into 1 20.947 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 20.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 20.947 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 20.947 * [taylor]: Taking taylor expansion of phi1 in phi2 20.947 * [backup-simplify]: Simplify phi1 into phi1 20.947 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 20.947 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 20.947 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 20.947 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 20.947 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 20.947 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 20.947 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 20.948 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 20.948 * [backup-simplify]: Simplify (+ 0) into 0 20.948 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 20.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 20.949 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.950 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 20.950 * [backup-simplify]: Simplify (+ 0 0) into 0 20.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 20.950 * [taylor]: Taking taylor expansion of 0 in phi2 20.950 * [backup-simplify]: Simplify 0 into 0 20.950 * [backup-simplify]: Simplify 0 into 0 20.951 * [backup-simplify]: Simplify (+ 0) into 0 20.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 20.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 20.952 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 20.953 * [backup-simplify]: Simplify (+ 0 0) into 0 20.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 20.953 * [backup-simplify]: Simplify 0 into 0 20.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.955 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 20.956 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.956 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.957 * [backup-simplify]: Simplify (+ 0 0) into 0 20.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 20.957 * [taylor]: Taking taylor expansion of 0 in phi2 20.957 * [backup-simplify]: Simplify 0 into 0 20.957 * [backup-simplify]: Simplify 0 into 0 20.957 * [backup-simplify]: Simplify 0 into 0 20.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 20.960 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.961 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.961 * [backup-simplify]: Simplify (+ 0 0) into 0 20.962 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 20.962 * [backup-simplify]: Simplify 0 into 0 20.963 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.963 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 20.965 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.966 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.966 * [backup-simplify]: Simplify (+ 0 0) into 0 20.967 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 20.967 * [taylor]: Taking taylor expansion of 0 in phi2 20.967 * [backup-simplify]: Simplify 0 into 0 20.967 * [backup-simplify]: Simplify 0 into 0 20.967 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 20.968 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.968 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 20.968 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 20.968 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 20.968 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 20.968 * [taylor]: Taking taylor expansion of -1 in phi2 20.968 * [backup-simplify]: Simplify -1 into -1 20.968 * [taylor]: Taking taylor expansion of phi1 in phi2 20.968 * [backup-simplify]: Simplify phi1 into phi1 20.968 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 20.968 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.968 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 20.968 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 20.968 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 20.968 * [taylor]: Taking taylor expansion of -1 in phi2 20.968 * [backup-simplify]: Simplify -1 into -1 20.968 * [taylor]: Taking taylor expansion of phi2 in phi2 20.968 * [backup-simplify]: Simplify 0 into 0 20.968 * [backup-simplify]: Simplify 1 into 1 20.969 * [backup-simplify]: Simplify (/ -1 1) into -1 20.969 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.969 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 20.969 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 20.969 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 20.969 * [taylor]: Taking taylor expansion of -1 in phi1 20.969 * [backup-simplify]: Simplify -1 into -1 20.969 * [taylor]: Taking taylor expansion of phi1 in phi1 20.969 * [backup-simplify]: Simplify 0 into 0 20.969 * [backup-simplify]: Simplify 1 into 1 20.969 * [backup-simplify]: Simplify (/ -1 1) into -1 20.969 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.969 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 20.970 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 20.970 * [taylor]: Taking taylor expansion of -1 in phi1 20.970 * [backup-simplify]: Simplify -1 into -1 20.970 * [taylor]: Taking taylor expansion of phi2 in phi1 20.970 * [backup-simplify]: Simplify phi2 into phi2 20.970 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 20.970 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.970 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 20.970 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 20.970 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 20.970 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 20.970 * [taylor]: Taking taylor expansion of -1 in phi1 20.970 * [backup-simplify]: Simplify -1 into -1 20.970 * [taylor]: Taking taylor expansion of phi1 in phi1 20.970 * [backup-simplify]: Simplify 0 into 0 20.970 * [backup-simplify]: Simplify 1 into 1 20.970 * [backup-simplify]: Simplify (/ -1 1) into -1 20.971 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.971 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 20.971 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 20.971 * [taylor]: Taking taylor expansion of -1 in phi1 20.971 * [backup-simplify]: Simplify -1 into -1 20.971 * [taylor]: Taking taylor expansion of phi2 in phi1 20.971 * [backup-simplify]: Simplify phi2 into phi2 20.971 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 20.971 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.971 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 20.971 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 20.971 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 20.971 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 20.971 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.971 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 20.971 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 20.971 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 20.971 * [taylor]: Taking taylor expansion of -1 in phi2 20.971 * [backup-simplify]: Simplify -1 into -1 20.972 * [taylor]: Taking taylor expansion of phi1 in phi2 20.972 * [backup-simplify]: Simplify phi1 into phi1 20.972 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 20.972 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 20.972 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 20.972 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 20.972 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 20.972 * [taylor]: Taking taylor expansion of -1 in phi2 20.972 * [backup-simplify]: Simplify -1 into -1 20.972 * [taylor]: Taking taylor expansion of phi2 in phi2 20.972 * [backup-simplify]: Simplify 0 into 0 20.972 * [backup-simplify]: Simplify 1 into 1 20.972 * [backup-simplify]: Simplify (/ -1 1) into -1 20.973 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 20.973 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 20.973 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 20.973 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 20.973 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.973 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 20.973 * [backup-simplify]: Simplify (+ 0) into 0 20.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 20.974 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 20.975 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.975 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 20.976 * [backup-simplify]: Simplify (+ 0 0) into 0 20.976 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 20.976 * [taylor]: Taking taylor expansion of 0 in phi2 20.976 * [backup-simplify]: Simplify 0 into 0 20.976 * [backup-simplify]: Simplify 0 into 0 20.976 * [backup-simplify]: Simplify (+ 0) into 0 20.977 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 20.977 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 20.978 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 20.978 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 20.979 * [backup-simplify]: Simplify (+ 0 0) into 0 20.979 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 20.979 * [backup-simplify]: Simplify 0 into 0 20.980 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.980 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 20.981 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 20.981 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.982 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 20.982 * [backup-simplify]: Simplify (+ 0 0) into 0 20.983 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 20.983 * [taylor]: Taking taylor expansion of 0 in phi2 20.983 * [backup-simplify]: Simplify 0 into 0 20.983 * [backup-simplify]: Simplify 0 into 0 20.983 * [backup-simplify]: Simplify 0 into 0 20.984 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 20.985 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 20.985 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 20.986 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 20.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 20.987 * [backup-simplify]: Simplify (+ 0 0) into 0 20.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 20.988 * [backup-simplify]: Simplify 0 into 0 20.989 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 20.990 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.990 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 20.991 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 20.992 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 20.992 * [backup-simplify]: Simplify (+ 0 0) into 0 20.993 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 20.993 * [taylor]: Taking taylor expansion of 0 in phi2 20.993 * [backup-simplify]: Simplify 0 into 0 20.993 * [backup-simplify]: Simplify 0 into 0 20.994 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 20.994 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 20.994 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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))))) 20.994 * [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 20.994 * [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 20.995 * [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))))) 20.995 * [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 20.995 * [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))))) 20.995 * [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 20.996 * [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))))) 20.996 * [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 20.997 * [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))))) 20.997 * [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 20.997 * [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))))) 20.997 * [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 20.998 * [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))))) 20.998 * [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 20.998 * [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))))) 20.998 * [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 20.999 * [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))))) 21.000 * [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))))) 21.000 * [taylor]: Taking taylor expansion of 0 in phi2 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda1 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda2 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda1 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda2 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda2 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in phi2 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda1 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda2 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [backup-simplify]: Simplify 0 into 0 21.000 * [taylor]: Taking taylor expansion of 0 in lambda1 21.000 * [backup-simplify]: Simplify 0 into 0 21.001 * [taylor]: Taking taylor expansion of 0 in lambda2 21.001 * [backup-simplify]: Simplify 0 into 0 21.001 * [backup-simplify]: Simplify 0 into 0 21.001 * [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))))) 21.002 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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)))))))) 21.002 * [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 21.002 * [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 21.003 * [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)))))))) 21.003 * [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 21.004 * [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)))))))) 21.004 * [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 21.004 * [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)))))))) 21.004 * [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 21.005 * [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)))))))) 21.005 * [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 21.006 * [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)))))))) 21.006 * [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 21.007 * [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)))))))) 21.007 * [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 21.008 * [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)))))))) 21.008 * [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 21.008 * [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)))))))) 21.009 * [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)))))))) 21.009 * [taylor]: Taking taylor expansion of 0 in phi2 21.009 * [backup-simplify]: Simplify 0 into 0 21.009 * [taylor]: Taking taylor expansion of 0 in lambda1 21.009 * [backup-simplify]: Simplify 0 into 0 21.009 * [taylor]: Taking taylor expansion of 0 in lambda2 21.009 * [backup-simplify]: Simplify 0 into 0 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in lambda1 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in lambda2 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in lambda2 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in phi2 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in lambda1 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in lambda2 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in lambda1 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [taylor]: Taking taylor expansion of 0 in lambda2 21.010 * [backup-simplify]: Simplify 0 into 0 21.010 * [backup-simplify]: Simplify 0 into 0 21.011 * [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))))) 21.012 * [backup-simplify]: Simplify (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)))))))) 21.012 * [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 21.012 * [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 21.013 * [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)))))))) 21.013 * [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 21.014 * [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)))))))) 21.014 * [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 21.014 * [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)))))))) 21.015 * [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 21.015 * [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)))))))) 21.015 * [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 21.016 * [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)))))))) 21.016 * [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 21.017 * [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)))))))) 21.017 * [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 21.018 * [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)))))))) 21.018 * [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 21.019 * [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)))))))) 21.019 * [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)))))))) 21.020 * [taylor]: Taking taylor expansion of 0 in phi2 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda1 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda2 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda1 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda2 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda2 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in phi2 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda1 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda2 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda1 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [taylor]: Taking taylor expansion of 0 in lambda2 21.020 * [backup-simplify]: Simplify 0 into 0 21.020 * [backup-simplify]: Simplify 0 into 0 21.021 * [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))))) 21.022 * * * * [progress]: [ 4 / 4 ] generating series at (2) 21.022 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (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)))))) 21.022 * [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 21.022 * [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 21.022 * [taylor]: Taking taylor expansion of R in R 21.022 * [backup-simplify]: Simplify 0 into 0 21.022 * [backup-simplify]: Simplify 1 into 1 21.022 * [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 21.023 * [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))))) 21.023 * [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 21.023 * [taylor]: Taking taylor expansion of R in lambda2 21.023 * [backup-simplify]: Simplify R into R 21.023 * [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 21.024 * [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))))) 21.024 * [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 21.024 * [taylor]: Taking taylor expansion of R in lambda1 21.024 * [backup-simplify]: Simplify R into R 21.024 * [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 21.024 * [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))))) 21.024 * [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 21.024 * [taylor]: Taking taylor expansion of R in phi2 21.024 * [backup-simplify]: Simplify R into R 21.024 * [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 21.025 * [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))))) 21.025 * [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 21.025 * [taylor]: Taking taylor expansion of R in phi1 21.025 * [backup-simplify]: Simplify R into R 21.025 * [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 21.026 * [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))))) 21.026 * [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 21.026 * [taylor]: Taking taylor expansion of R in phi1 21.026 * [backup-simplify]: Simplify R into R 21.026 * [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 21.026 * [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))))) 21.027 * [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)))))) 21.027 * [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 21.027 * [taylor]: Taking taylor expansion of R in phi2 21.027 * [backup-simplify]: Simplify R into R 21.027 * [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 21.028 * [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))))) 21.028 * [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)))))) 21.028 * [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 21.028 * [taylor]: Taking taylor expansion of R in lambda1 21.028 * [backup-simplify]: Simplify R into R 21.028 * [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 21.029 * [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))))) 21.029 * [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)))))) 21.029 * [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 21.029 * [taylor]: Taking taylor expansion of R in lambda2 21.029 * [backup-simplify]: Simplify R into R 21.030 * [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 21.030 * [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))))) 21.031 * [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)))))) 21.031 * [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 21.031 * [taylor]: Taking taylor expansion of R in R 21.031 * [backup-simplify]: Simplify 0 into 0 21.031 * [backup-simplify]: Simplify 1 into 1 21.031 * [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 21.031 * [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))))) 21.032 * [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 21.032 * [backup-simplify]: Simplify 0 into 0 21.033 * [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 21.033 * [taylor]: Taking taylor expansion of 0 in phi2 21.033 * [backup-simplify]: Simplify 0 into 0 21.033 * [taylor]: Taking taylor expansion of 0 in lambda1 21.033 * [backup-simplify]: Simplify 0 into 0 21.033 * [taylor]: Taking taylor expansion of 0 in lambda2 21.033 * [backup-simplify]: Simplify 0 into 0 21.033 * [taylor]: Taking taylor expansion of 0 in R 21.033 * [backup-simplify]: Simplify 0 into 0 21.033 * [backup-simplify]: Simplify 0 into 0 21.034 * [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 21.034 * [taylor]: Taking taylor expansion of 0 in lambda1 21.034 * [backup-simplify]: Simplify 0 into 0 21.034 * [taylor]: Taking taylor expansion of 0 in lambda2 21.034 * [backup-simplify]: Simplify 0 into 0 21.034 * [taylor]: Taking taylor expansion of 0 in R 21.034 * [backup-simplify]: Simplify 0 into 0 21.034 * [backup-simplify]: Simplify 0 into 0 21.035 * [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 21.035 * [taylor]: Taking taylor expansion of 0 in lambda2 21.035 * [backup-simplify]: Simplify 0 into 0 21.035 * [taylor]: Taking taylor expansion of 0 in R 21.035 * [backup-simplify]: Simplify 0 into 0 21.035 * [backup-simplify]: Simplify 0 into 0 21.035 * [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 21.036 * [taylor]: Taking taylor expansion of 0 in R 21.036 * [backup-simplify]: Simplify 0 into 0 21.036 * [backup-simplify]: Simplify 0 into 0 21.037 * [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))))) 21.038 * [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))))) 21.039 * [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 21.039 * [taylor]: Taking taylor expansion of 0 in phi2 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [taylor]: Taking taylor expansion of 0 in lambda1 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [taylor]: Taking taylor expansion of 0 in lambda2 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [taylor]: Taking taylor expansion of 0 in R 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [taylor]: Taking taylor expansion of 0 in lambda1 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [taylor]: Taking taylor expansion of 0 in lambda2 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [taylor]: Taking taylor expansion of 0 in R 21.039 * [backup-simplify]: Simplify 0 into 0 21.039 * [backup-simplify]: Simplify 0 into 0 21.040 * [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 21.040 * [taylor]: Taking taylor expansion of 0 in lambda1 21.040 * [backup-simplify]: Simplify 0 into 0 21.040 * [taylor]: Taking taylor expansion of 0 in lambda2 21.040 * [backup-simplify]: Simplify 0 into 0 21.040 * [taylor]: Taking taylor expansion of 0 in R 21.040 * [backup-simplify]: Simplify 0 into 0 21.041 * [backup-simplify]: Simplify 0 into 0 21.041 * [taylor]: Taking taylor expansion of 0 in lambda2 21.041 * [backup-simplify]: Simplify 0 into 0 21.041 * [taylor]: Taking taylor expansion of 0 in R 21.041 * [backup-simplify]: Simplify 0 into 0 21.041 * [backup-simplify]: Simplify 0 into 0 21.041 * [taylor]: Taking taylor expansion of 0 in lambda2 21.041 * [backup-simplify]: Simplify 0 into 0 21.041 * [taylor]: Taking taylor expansion of 0 in R 21.041 * [backup-simplify]: Simplify 0 into 0 21.041 * [backup-simplify]: Simplify 0 into 0 21.042 * [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 21.042 * [taylor]: Taking taylor expansion of 0 in lambda2 21.042 * [backup-simplify]: Simplify 0 into 0 21.042 * [taylor]: Taking taylor expansion of 0 in R 21.042 * [backup-simplify]: Simplify 0 into 0 21.042 * [backup-simplify]: Simplify 0 into 0 21.043 * [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)))))) 21.044 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 phi1)) (sin (/ 1 phi2))))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (+ (* (cos (/ 1 lambda1)) (cos (/ 1 lambda2))) (log (exp (* (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) 21.044 * [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 21.044 * [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 21.044 * [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 21.045 * [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)))))))) 21.045 * [taylor]: Taking taylor expansion of R in R 21.045 * [backup-simplify]: Simplify 0 into 0 21.045 * [backup-simplify]: Simplify 1 into 1 21.046 * [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)))))))) 21.046 * [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 21.046 * [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 21.047 * [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)))))))) 21.047 * [taylor]: Taking taylor expansion of R in lambda2 21.047 * [backup-simplify]: Simplify R into R 21.048 * [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) 21.048 * [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 21.048 * [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 21.049 * [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)))))))) 21.049 * [taylor]: Taking taylor expansion of R in lambda1 21.049 * [backup-simplify]: Simplify R into R 21.050 * [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) 21.050 * [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 21.050 * [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 21.051 * [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)))))))) 21.051 * [taylor]: Taking taylor expansion of R in phi2 21.051 * [backup-simplify]: Simplify R into R 21.052 * [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) 21.052 * [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 21.052 * [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 21.053 * [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)))))))) 21.053 * [taylor]: Taking taylor expansion of R in phi1 21.053 * [backup-simplify]: Simplify R into R 21.053 * [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) 21.054 * [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 21.054 * [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 21.054 * [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)))))))) 21.054 * [taylor]: Taking taylor expansion of R in phi1 21.054 * [backup-simplify]: Simplify R into R 21.055 * [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) 21.055 * [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 21.055 * [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 21.056 * [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)))))))) 21.056 * [taylor]: Taking taylor expansion of R in phi2 21.056 * [backup-simplify]: Simplify R into R 21.057 * [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) 21.057 * [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 21.057 * [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 21.058 * [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)))))))) 21.058 * [taylor]: Taking taylor expansion of R in lambda1 21.058 * [backup-simplify]: Simplify R into R 21.059 * [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) 21.059 * [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 21.059 * [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 21.060 * [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)))))))) 21.060 * [taylor]: Taking taylor expansion of R in lambda2 21.060 * [backup-simplify]: Simplify R into R 21.061 * [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) 21.061 * [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 21.061 * [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 21.062 * [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)))))))) 21.062 * [taylor]: Taking taylor expansion of R in R 21.062 * [backup-simplify]: Simplify 0 into 0 21.062 * [backup-simplify]: Simplify 1 into 1 21.063 * [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)))))))) 21.064 * [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)))))))) 21.065 * [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 21.065 * [taylor]: Taking taylor expansion of 0 in phi2 21.065 * [backup-simplify]: Simplify 0 into 0 21.065 * [taylor]: Taking taylor expansion of 0 in lambda1 21.065 * [backup-simplify]: Simplify 0 into 0 21.065 * [taylor]: Taking taylor expansion of 0 in lambda2 21.065 * [backup-simplify]: Simplify 0 into 0 21.065 * [taylor]: Taking taylor expansion of 0 in R 21.065 * [backup-simplify]: Simplify 0 into 0 21.066 * [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 21.066 * [taylor]: Taking taylor expansion of 0 in lambda1 21.066 * [backup-simplify]: Simplify 0 into 0 21.066 * [taylor]: Taking taylor expansion of 0 in lambda2 21.066 * [backup-simplify]: Simplify 0 into 0 21.066 * [taylor]: Taking taylor expansion of 0 in R 21.066 * [backup-simplify]: Simplify 0 into 0 21.067 * [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 21.067 * [taylor]: Taking taylor expansion of 0 in lambda2 21.067 * [backup-simplify]: Simplify 0 into 0 21.067 * [taylor]: Taking taylor expansion of 0 in R 21.067 * [backup-simplify]: Simplify 0 into 0 21.068 * [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 21.068 * [taylor]: Taking taylor expansion of 0 in R 21.068 * [backup-simplify]: Simplify 0 into 0 21.070 * [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 21.070 * [backup-simplify]: Simplify 0 into 0 21.071 * [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 21.072 * [taylor]: Taking taylor expansion of 0 in phi2 21.072 * [backup-simplify]: Simplify 0 into 0 21.072 * [taylor]: Taking taylor expansion of 0 in lambda1 21.072 * [backup-simplify]: Simplify 0 into 0 21.072 * [taylor]: Taking taylor expansion of 0 in lambda2 21.072 * [backup-simplify]: Simplify 0 into 0 21.072 * [taylor]: Taking taylor expansion of 0 in R 21.072 * [backup-simplify]: Simplify 0 into 0 21.072 * [taylor]: Taking taylor expansion of 0 in lambda1 21.072 * [backup-simplify]: Simplify 0 into 0 21.072 * [taylor]: Taking taylor expansion of 0 in lambda2 21.072 * [backup-simplify]: Simplify 0 into 0 21.072 * [taylor]: Taking taylor expansion of 0 in R 21.072 * [backup-simplify]: Simplify 0 into 0 21.073 * [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 21.073 * [taylor]: Taking taylor expansion of 0 in lambda1 21.073 * [backup-simplify]: Simplify 0 into 0 21.073 * [taylor]: Taking taylor expansion of 0 in lambda2 21.073 * [backup-simplify]: Simplify 0 into 0 21.073 * [taylor]: Taking taylor expansion of 0 in R 21.073 * [backup-simplify]: Simplify 0 into 0 21.073 * [taylor]: Taking taylor expansion of 0 in lambda2 21.073 * [backup-simplify]: Simplify 0 into 0 21.073 * [taylor]: Taking taylor expansion of 0 in R 21.073 * [backup-simplify]: Simplify 0 into 0 21.073 * [taylor]: Taking taylor expansion of 0 in lambda2 21.073 * [backup-simplify]: Simplify 0 into 0 21.073 * [taylor]: Taking taylor expansion of 0 in R 21.073 * [backup-simplify]: Simplify 0 into 0 21.074 * [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 21.074 * [taylor]: Taking taylor expansion of 0 in lambda2 21.074 * [backup-simplify]: Simplify 0 into 0 21.075 * [taylor]: Taking taylor expansion of 0 in R 21.075 * [backup-simplify]: Simplify 0 into 0 21.075 * [taylor]: Taking taylor expansion of 0 in R 21.075 * [backup-simplify]: Simplify 0 into 0 21.075 * [taylor]: Taking taylor expansion of 0 in R 21.075 * [backup-simplify]: Simplify 0 into 0 21.075 * [taylor]: Taking taylor expansion of 0 in R 21.075 * [backup-simplify]: Simplify 0 into 0 21.076 * [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 21.076 * [taylor]: Taking taylor expansion of 0 in R 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 0 into 0 21.076 * [backup-simplify]: Simplify 0 into 0 21.078 * [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 21.079 * [backup-simplify]: Simplify 0 into 0 21.080 * [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) 21.081 * [backup-simplify]: Simplify (* (acos (+ (log (exp (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))))) (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (+ (* (cos (/ 1 (- lambda1))) (cos (/ 1 (- lambda2)))) (log (exp (* (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)) 21.081 * [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 21.081 * [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 21.081 * [taylor]: Taking taylor expansion of -1 in R 21.081 * [backup-simplify]: Simplify -1 into -1 21.081 * [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 21.081 * [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 21.082 * [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)))))))) 21.082 * [taylor]: Taking taylor expansion of R in R 21.082 * [backup-simplify]: Simplify 0 into 0 21.082 * [backup-simplify]: Simplify 1 into 1 21.083 * [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)))))))) 21.083 * [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 21.083 * [taylor]: Taking taylor expansion of -1 in lambda2 21.083 * [backup-simplify]: Simplify -1 into -1 21.083 * [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 21.083 * [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 21.084 * [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)))))))) 21.084 * [taylor]: Taking taylor expansion of R in lambda2 21.084 * [backup-simplify]: Simplify R into R 21.085 * [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) 21.085 * [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 21.085 * [taylor]: Taking taylor expansion of -1 in lambda1 21.085 * [backup-simplify]: Simplify -1 into -1 21.085 * [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 21.085 * [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 21.086 * [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)))))))) 21.087 * [taylor]: Taking taylor expansion of R in lambda1 21.087 * [backup-simplify]: Simplify R into R 21.087 * [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) 21.087 * [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 21.087 * [taylor]: Taking taylor expansion of -1 in phi2 21.087 * [backup-simplify]: Simplify -1 into -1 21.087 * [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 21.087 * [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 21.088 * [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)))))))) 21.088 * [taylor]: Taking taylor expansion of R in phi2 21.088 * [backup-simplify]: Simplify R into R 21.088 * [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) 21.088 * [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 21.088 * [taylor]: Taking taylor expansion of -1 in phi1 21.088 * [backup-simplify]: Simplify -1 into -1 21.088 * [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 21.088 * [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 21.089 * [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)))))))) 21.089 * [taylor]: Taking taylor expansion of R in phi1 21.089 * [backup-simplify]: Simplify R into R 21.089 * [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) 21.089 * [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 21.089 * [taylor]: Taking taylor expansion of -1 in phi1 21.089 * [backup-simplify]: Simplify -1 into -1 21.089 * [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 21.089 * [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 21.090 * [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)))))))) 21.090 * [taylor]: Taking taylor expansion of R in phi1 21.090 * [backup-simplify]: Simplify R into R 21.090 * [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) 21.091 * [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)) 21.091 * [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 21.091 * [taylor]: Taking taylor expansion of -1 in phi2 21.091 * [backup-simplify]: Simplify -1 into -1 21.091 * [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 21.091 * [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 21.091 * [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)))))))) 21.091 * [taylor]: Taking taylor expansion of R in phi2 21.091 * [backup-simplify]: Simplify R into R 21.092 * [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) 21.092 * [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)) 21.092 * [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 21.092 * [taylor]: Taking taylor expansion of -1 in lambda1 21.092 * [backup-simplify]: Simplify -1 into -1 21.092 * [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 21.092 * [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 21.093 * [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)))))))) 21.093 * [taylor]: Taking taylor expansion of R in lambda1 21.093 * [backup-simplify]: Simplify R into R 21.093 * [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) 21.094 * [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)) 21.094 * [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 21.094 * [taylor]: Taking taylor expansion of -1 in lambda2 21.094 * [backup-simplify]: Simplify -1 into -1 21.094 * [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 21.094 * [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 21.094 * [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)))))))) 21.094 * [taylor]: Taking taylor expansion of R in lambda2 21.094 * [backup-simplify]: Simplify R into R 21.095 * [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) 21.095 * [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)) 21.095 * [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 21.095 * [taylor]: Taking taylor expansion of -1 in R 21.095 * [backup-simplify]: Simplify -1 into -1 21.095 * [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 21.095 * [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 21.096 * [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)))))))) 21.096 * [taylor]: Taking taylor expansion of R in R 21.096 * [backup-simplify]: Simplify 0 into 0 21.096 * [backup-simplify]: Simplify 1 into 1 21.096 * [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)))))))) 21.097 * [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))))))))) 21.097 * [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))))))))) 21.098 * [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 21.099 * [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 21.099 * [taylor]: Taking taylor expansion of 0 in phi2 21.099 * [backup-simplify]: Simplify 0 into 0 21.099 * [taylor]: Taking taylor expansion of 0 in lambda1 21.099 * [backup-simplify]: Simplify 0 into 0 21.099 * [taylor]: Taking taylor expansion of 0 in lambda2 21.099 * [backup-simplify]: Simplify 0 into 0 21.099 * [taylor]: Taking taylor expansion of 0 in R 21.099 * [backup-simplify]: Simplify 0 into 0 21.100 * [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 21.101 * [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 21.101 * [taylor]: Taking taylor expansion of 0 in lambda1 21.101 * [backup-simplify]: Simplify 0 into 0 21.101 * [taylor]: Taking taylor expansion of 0 in lambda2 21.101 * [backup-simplify]: Simplify 0 into 0 21.101 * [taylor]: Taking taylor expansion of 0 in R 21.101 * [backup-simplify]: Simplify 0 into 0 21.101 * [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 21.102 * [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 21.102 * [taylor]: Taking taylor expansion of 0 in lambda2 21.102 * [backup-simplify]: Simplify 0 into 0 21.102 * [taylor]: Taking taylor expansion of 0 in R 21.102 * [backup-simplify]: Simplify 0 into 0 21.103 * [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 21.104 * [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 21.104 * [taylor]: Taking taylor expansion of 0 in R 21.104 * [backup-simplify]: Simplify 0 into 0 21.105 * [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 21.105 * [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 21.105 * [backup-simplify]: Simplify 0 into 0 21.106 * [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 21.107 * [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 21.107 * [taylor]: Taking taylor expansion of 0 in phi2 21.107 * [backup-simplify]: Simplify 0 into 0 21.107 * [taylor]: Taking taylor expansion of 0 in lambda1 21.107 * [backup-simplify]: Simplify 0 into 0 21.107 * [taylor]: Taking taylor expansion of 0 in lambda2 21.107 * [backup-simplify]: Simplify 0 into 0 21.107 * [taylor]: Taking taylor expansion of 0 in R 21.107 * [backup-simplify]: Simplify 0 into 0 21.107 * [taylor]: Taking taylor expansion of 0 in lambda1 21.107 * [backup-simplify]: Simplify 0 into 0 21.107 * [taylor]: Taking taylor expansion of 0 in lambda2 21.107 * [backup-simplify]: Simplify 0 into 0 21.107 * [taylor]: Taking taylor expansion of 0 in R 21.107 * [backup-simplify]: Simplify 0 into 0 21.108 * [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 21.109 * [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 21.109 * [taylor]: Taking taylor expansion of 0 in lambda1 21.109 * [backup-simplify]: Simplify 0 into 0 21.109 * [taylor]: Taking taylor expansion of 0 in lambda2 21.109 * [backup-simplify]: Simplify 0 into 0 21.109 * [taylor]: Taking taylor expansion of 0 in R 21.109 * [backup-simplify]: Simplify 0 into 0 21.109 * [taylor]: Taking taylor expansion of 0 in lambda2 21.109 * [backup-simplify]: Simplify 0 into 0 21.109 * [taylor]: Taking taylor expansion of 0 in R 21.109 * [backup-simplify]: Simplify 0 into 0 21.109 * [taylor]: Taking taylor expansion of 0 in lambda2 21.109 * [backup-simplify]: Simplify 0 into 0 21.109 * [taylor]: Taking taylor expansion of 0 in R 21.109 * [backup-simplify]: Simplify 0 into 0 21.110 * [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 21.111 * [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 21.111 * [taylor]: Taking taylor expansion of 0 in lambda2 21.111 * [backup-simplify]: Simplify 0 into 0 21.111 * [taylor]: Taking taylor expansion of 0 in R 21.111 * [backup-simplify]: Simplify 0 into 0 21.111 * [taylor]: Taking taylor expansion of 0 in R 21.111 * [backup-simplify]: Simplify 0 into 0 21.111 * [taylor]: Taking taylor expansion of 0 in R 21.111 * [backup-simplify]: Simplify 0 into 0 21.111 * [taylor]: Taking taylor expansion of 0 in R 21.111 * [backup-simplify]: Simplify 0 into 0 21.112 * [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 21.113 * [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 21.113 * [taylor]: Taking taylor expansion of 0 in R 21.113 * [backup-simplify]: Simplify 0 into 0 21.113 * [backup-simplify]: Simplify 0 into 0 21.113 * [backup-simplify]: Simplify 0 into 0 21.113 * [backup-simplify]: Simplify 0 into 0 21.113 * [backup-simplify]: Simplify 0 into 0 21.114 * [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 21.115 * [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 21.115 * [backup-simplify]: Simplify 0 into 0 21.116 * [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)))))) 21.116 * * * [progress]: simplifying candidates 21.116 * * * * [progress]: [ 1 / 78 ] simplifiying candidate # 21.116 * * * * [progress]: [ 2 / 78 ] simplifiying candidate # 21.116 * * * * [progress]: [ 3 / 78 ] simplifiying candidate # 21.117 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 21.117 * * [simplify]: iters left: 6 (9 enodes) 21.121 * * [simplify]: iters left: 5 (32 enodes) 21.130 * * [simplify]: iters left: 4 (42 enodes) 21.142 * * [simplify]: iters left: 3 (55 enodes) 21.159 * * [simplify]: iters left: 2 (82 enodes) 21.178 * * [simplify]: iters left: 1 (147 enodes) 21.214 * * [simplify]: Extracting #0: cost 1 inf + 0 21.215 * * [simplify]: Extracting #1: cost 4 inf + 0 21.215 * * [simplify]: Extracting #2: cost 7 inf + 0 21.215 * * [simplify]: Extracting #3: cost 9 inf + 0 21.215 * * [simplify]: Extracting #4: cost 29 inf + 0 21.215 * * [simplify]: Extracting #5: cost 81 inf + 1 21.216 * * [simplify]: Extracting #6: cost 88 inf + 728 21.217 * * [simplify]: Extracting #7: cost 51 inf + 7790 21.222 * * [simplify]: Extracting #8: cost 10 inf + 27988 21.229 * * [simplify]: Extracting #9: cost 0 inf + 35489 21.236 * * [simplify]: Extracting #10: cost 0 inf + 35027 21.243 * * [simplify]: Extracting #11: cost 0 inf + 34987 21.250 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 21.251 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) (log (cbrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 21.251 * * * * [progress]: [ 4 / 78 ] simplifiying candidate # 21.251 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 21.251 * * [simplify]: iters left: 6 (8 enodes) 21.255 * * [simplify]: iters left: 5 (27 enodes) 21.263 * * [simplify]: iters left: 4 (35 enodes) 21.274 * * [simplify]: iters left: 3 (49 enodes) 21.289 * * [simplify]: iters left: 2 (76 enodes) 21.316 * * [simplify]: iters left: 1 (141 enodes) 21.373 * * [simplify]: Extracting #0: cost 1 inf + 0 21.373 * * [simplify]: Extracting #1: cost 3 inf + 0 21.373 * * [simplify]: Extracting #2: cost 6 inf + 0 21.373 * * [simplify]: Extracting #3: cost 31 inf + 0 21.373 * * [simplify]: Extracting #4: cost 85 inf + 1 21.374 * * [simplify]: Extracting #5: cost 85 inf + 1064 21.376 * * [simplify]: Extracting #6: cost 53 inf + 5478 21.379 * * [simplify]: Extracting #7: cost 20 inf + 18813 21.385 * * [simplify]: Extracting #8: cost 1 inf + 30565 21.389 * * [simplify]: Extracting #9: cost 0 inf + 30837 21.393 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 21.393 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) (log (sqrt (exp (* (sin lambda1) (sin lambda2)))))))))) R)) 21.393 * * * * [progress]: [ 5 / 78 ] simplifiying candidate # 21.393 * [simplify]: Simplifying (log 1) 21.393 * * [simplify]: iters left: 1 (2 enodes) 21.395 * * [simplify]: Extracting #0: cost 1 inf + 0 21.395 * * [simplify]: Extracting #1: cost 0 inf + 1 21.395 * [simplify]: Simplified to 0 21.395 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ 0 (log (exp (* (sin lambda1) (sin lambda2))))))))) R)) 21.395 * * * * [progress]: [ 6 / 78 ] simplifiying candidate # 21.395 * [simplify]: Simplifying (sin lambda2) 21.395 * * [simplify]: iters left: 1 (2 enodes) 21.396 * * [simplify]: Extracting #0: cost 1 inf + 0 21.396 * * [simplify]: Extracting #1: cost 3 inf + 0 21.396 * * [simplify]: Extracting #2: cost 2 inf + 1 21.396 * * [simplify]: Extracting #3: cost 0 inf + 123 21.396 * [simplify]: Simplified to (sin lambda2) 21.396 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 21.396 * * * * [progress]: [ 7 / 78 ] simplifiying candidate # 21.396 * * * * [progress]: [ 8 / 78 ] simplifiying candidate # 21.396 * [simplify]: Simplifying (sin lambda2) 21.396 * * [simplify]: iters left: 1 (2 enodes) 21.397 * * [simplify]: Extracting #0: cost 1 inf + 0 21.397 * * [simplify]: Extracting #1: cost 3 inf + 0 21.397 * * [simplify]: Extracting #2: cost 2 inf + 1 21.397 * * [simplify]: Extracting #3: cost 0 inf + 123 21.397 * [simplify]: Simplified to (sin lambda2) 21.397 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))) R)) 21.397 * * * * [progress]: [ 9 / 78 ] simplifiying candidate # 21.397 * * * * [progress]: [ 10 / 78 ] simplifiying candidate # 21.397 * [simplify]: Simplifying (sin lambda1) 21.397 * * [simplify]: iters left: 1 (2 enodes) 21.398 * * [simplify]: Extracting #0: cost 1 inf + 0 21.398 * * [simplify]: Extracting #1: cost 3 inf + 0 21.398 * * [simplify]: Extracting #2: cost 2 inf + 1 21.398 * * [simplify]: Extracting #3: cost 0 inf + 123 21.398 * [simplify]: Simplified to (sin lambda1) 21.398 * [simplify]: Simplified (2 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 21.398 * * * * [progress]: [ 11 / 78 ] simplifiying candidate # 21.398 * * * * [progress]: [ 12 / 78 ] simplifiying candidate # 21.398 * * * * [progress]: [ 13 / 78 ] simplifiying candidate # 21.398 * * * * [progress]: [ 14 / 78 ] simplifiying candidate # 21.398 * * * * [progress]: [ 15 / 78 ] simplifiying candidate # 21.398 * * * * [progress]: [ 16 / 78 ] simplifiying candidate # 21.398 * * * * [progress]: [ 17 / 78 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 21.398 * * * * [progress]: [ 18 / 78 ] simplifiying candidate # 21.399 * * * * [progress]: [ 19 / 78 ] simplifiying candidate # 21.399 * * * * [progress]: [ 20 / 78 ] simplifiying candidate # 21.399 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin phi1) (sin phi2)))) (cbrt (exp (* (sin phi1) (sin phi2)))))) 21.399 * * [simplify]: iters left: 6 (9 enodes) 21.401 * * [simplify]: iters left: 5 (32 enodes) 21.405 * * [simplify]: iters left: 4 (42 enodes) 21.412 * * [simplify]: iters left: 3 (55 enodes) 21.428 * * [simplify]: iters left: 2 (82 enodes) 21.444 * * [simplify]: iters left: 1 (147 enodes) 21.481 * * [simplify]: Extracting #0: cost 1 inf + 0 21.481 * * [simplify]: Extracting #1: cost 4 inf + 0 21.481 * * [simplify]: Extracting #2: cost 7 inf + 0 21.481 * * [simplify]: Extracting #3: cost 9 inf + 0 21.481 * * [simplify]: Extracting #4: cost 29 inf + 0 21.481 * * [simplify]: Extracting #5: cost 81 inf + 1 21.481 * * [simplify]: Extracting #6: cost 88 inf + 728 21.482 * * [simplify]: Extracting #7: cost 51 inf + 7790 21.485 * * [simplify]: Extracting #8: cost 10 inf + 27988 21.488 * * [simplify]: Extracting #9: cost 0 inf + 35489 21.492 * * [simplify]: Extracting #10: cost 0 inf + 35027 21.495 * * [simplify]: Extracting #11: cost 0 inf + 34987 21.499 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin phi2) (sin phi1)))) (cbrt (exp (* (sin phi2) (sin phi1)))))) 21.499 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (+ (log (* (cbrt (exp (* (sin phi2) (sin phi1)))) (cbrt (exp (* (sin phi2) (sin phi1)))))) (log (cbrt (exp (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 21.499 * * * * [progress]: [ 21 / 78 ] simplifiying candidate # 21.499 * [simplify]: Simplifying (log (sqrt (exp (* (sin phi1) (sin phi2))))) 21.499 * * [simplify]: iters left: 6 (8 enodes) 21.501 * * [simplify]: iters left: 5 (27 enodes) 21.504 * * [simplify]: iters left: 4 (35 enodes) 21.510 * * [simplify]: iters left: 3 (49 enodes) 21.518 * * [simplify]: iters left: 2 (76 enodes) 21.533 * * [simplify]: iters left: 1 (141 enodes) 21.571 * * [simplify]: Extracting #0: cost 1 inf + 0 21.571 * * [simplify]: Extracting #1: cost 3 inf + 0 21.571 * * [simplify]: Extracting #2: cost 6 inf + 0 21.571 * * [simplify]: Extracting #3: cost 31 inf + 0 21.572 * * [simplify]: Extracting #4: cost 85 inf + 1 21.572 * * [simplify]: Extracting #5: cost 85 inf + 1064 21.574 * * [simplify]: Extracting #6: cost 53 inf + 5478 21.577 * * [simplify]: Extracting #7: cost 20 inf + 18813 21.584 * * [simplify]: Extracting #8: cost 1 inf + 30565 21.591 * * [simplify]: Extracting #9: cost 0 inf + 30837 21.599 * [simplify]: Simplified to (log (sqrt (exp (* (sin phi2) (sin phi1))))) 21.599 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (+ (log (sqrt (exp (* (sin phi2) (sin phi1))))) (log (sqrt (exp (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 21.599 * * * * [progress]: [ 22 / 78 ] simplifiying candidate # 21.599 * [simplify]: Simplifying (log 1) 21.599 * * [simplify]: iters left: 1 (2 enodes) 21.602 * * [simplify]: Extracting #0: cost 1 inf + 0 21.602 * * [simplify]: Extracting #1: cost 0 inf + 1 21.602 * [simplify]: Simplified to 0 21.602 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (+ 0 (log (exp (* (sin phi1) (sin phi2))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 21.602 * * * * [progress]: [ 23 / 78 ] simplifiying candidate # 21.602 * [simplify]: Simplifying (sin phi2) 21.602 * * [simplify]: iters left: 1 (2 enodes) 21.603 * * [simplify]: Extracting #0: cost 1 inf + 0 21.603 * * [simplify]: Extracting #1: cost 3 inf + 0 21.603 * * [simplify]: Extracting #2: cost 2 inf + 1 21.604 * * [simplify]: Extracting #3: cost 0 inf + 123 21.604 * [simplify]: Simplified to (sin phi2) 21.604 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (log (exp (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 21.604 * * * * [progress]: [ 24 / 78 ] simplifiying candidate # 21.604 * * * * [progress]: [ 25 / 78 ] simplifiying candidate # 21.604 * [simplify]: Simplifying (sin phi2) 21.604 * * [simplify]: iters left: 1 (2 enodes) 21.605 * * [simplify]: Extracting #0: cost 1 inf + 0 21.605 * * [simplify]: Extracting #1: cost 3 inf + 0 21.605 * * [simplify]: Extracting #2: cost 2 inf + 1 21.605 * * [simplify]: Extracting #3: cost 0 inf + 123 21.605 * [simplify]: Simplified to (sin phi2) 21.605 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (log (exp (sin phi1)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 21.606 * * * * [progress]: [ 26 / 78 ] simplifiying candidate # 21.606 * * * * [progress]: [ 27 / 78 ] simplifiying candidate # 21.606 * [simplify]: Simplifying (sin phi1) 21.606 * * [simplify]: iters left: 1 (2 enodes) 21.607 * * [simplify]: Extracting #0: cost 1 inf + 0 21.607 * * [simplify]: Extracting #1: cost 3 inf + 0 21.607 * * [simplify]: Extracting #2: cost 2 inf + 1 21.607 * * [simplify]: Extracting #3: cost 0 inf + 123 21.607 * [simplify]: Simplified to (sin phi1) 21.607 * [simplify]: Simplified (2 1 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 21.607 * * * * [progress]: [ 28 / 78 ] simplifiying candidate # 21.607 * * * * [progress]: [ 29 / 78 ] simplifiying candidate # 21.607 * * * * [progress]: [ 30 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 31 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 32 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 33 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 34 / 78 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin phi1) (sin phi2)))))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))> 21.608 * * * * [progress]: [ 35 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 36 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 37 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 38 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 39 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 40 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 41 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 42 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 43 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 44 / 78 ] simplifiying candidate # 21.608 * * * * [progress]: [ 45 / 78 ] simplifiying candidate #real (real->posit16 (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 21.608 * * * * [progress]: [ 46 / 78 ] simplifiying candidate # 21.609 * * * * [progress]: [ 47 / 78 ] simplifiying candidate # 21.609 * * * * [progress]: [ 48 / 78 ] simplifiying candidate # 21.609 * [simplify]: Simplifying (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 21.609 * * [simplify]: iters left: 6 (26 enodes) 21.615 * * [simplify]: iters left: 5 (95 enodes) 21.633 * * [simplify]: iters left: 4 (186 enodes) 21.699 * * [simplify]: iters left: 3 (377 enodes) 21.817 * * [simplify]: Extracting #0: cost 1 inf + 0 21.817 * * [simplify]: Extracting #1: cost 4 inf + 0 21.817 * * [simplify]: Extracting #2: cost 5 inf + 1 21.817 * * [simplify]: Extracting #3: cost 37 inf + 1 21.818 * * [simplify]: Extracting #4: cost 122 inf + 1 21.819 * * [simplify]: Extracting #5: cost 134 inf + 3154 21.829 * * [simplify]: Extracting #6: cost 77 inf + 24586 21.847 * * [simplify]: Extracting #7: cost 50 inf + 33913 21.863 * * [simplify]: Extracting #8: cost 14 inf + 46940 21.875 * * [simplify]: Extracting #9: cost 0 inf + 54859 21.885 * * [simplify]: Extracting #10: cost 0 inf + 54659 21.894 * [simplify]: Simplified to (* R (acos (fma (* (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1))))) 21.894 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (fma (* (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (cos phi1)) (cos phi2) (* (sin phi2) (sin phi1))))) 1)) 21.894 * * * * [progress]: [ 49 / 78 ] simplifiying candidate # 21.894 * * * * [progress]: [ 50 / 78 ] simplifiying candidate # 21.894 * [simplify]: Simplifying (+ (log (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) 21.894 * * [simplify]: iters left: 6 (28 enodes) 21.905 * * [simplify]: iters left: 5 (101 enodes) 21.921 * * [simplify]: iters left: 4 (192 enodes) 21.974 * * [simplify]: iters left: 3 (380 enodes) 22.088 * * [simplify]: Extracting #0: cost 1 inf + 0 22.088 * * [simplify]: Extracting #1: cost 4 inf + 0 22.088 * * [simplify]: Extracting #2: cost 8 inf + 0 22.088 * * [simplify]: Extracting #3: cost 7 inf + 143 22.088 * * [simplify]: Extracting #4: cost 38 inf + 143 22.089 * * [simplify]: Extracting #5: cost 123 inf + 143 22.091 * * [simplify]: Extracting #6: cost 136 inf + 2858 22.099 * * [simplify]: Extracting #7: cost 82 inf + 23569 22.114 * * [simplify]: Extracting #8: cost 49 inf + 34395 22.131 * * [simplify]: Extracting #9: cost 11 inf + 50908 22.154 * * [simplify]: Extracting #10: cost 0 inf + 56405 22.172 * * [simplify]: Extracting #11: cost 0 inf + 56168 22.191 * * [simplify]: Extracting #12: cost 0 inf + 56049 22.204 * [simplify]: Simplified to (+ (log (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (log R)) 22.204 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (log R)))) 22.204 * * * * [progress]: [ 51 / 78 ] simplifiying candidate # 22.204 * * * * [progress]: [ 52 / 78 ] simplifiying candidate # 22.204 * * * * [progress]: [ 53 / 78 ] simplifiying candidate # 22.205 * [simplify]: Simplifying (* (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (* (* R R) R)) 22.205 * * [simplify]: iters left: 6 (30 enodes) 22.218 * * [simplify]: iters left: 5 (113 enodes) 22.237 * * [simplify]: iters left: 4 (233 enodes) 22.286 * * [simplify]: iters left: 3 (477 enodes) 22.417 * * [simplify]: Extracting #0: cost 1 inf + 0 22.417 * * [simplify]: Extracting #1: cost 29 inf + 0 22.417 * * [simplify]: Extracting #2: cost 54 inf + 214 22.418 * * [simplify]: Extracting #3: cost 83 inf + 378 22.418 * * [simplify]: Extracting #4: cost 169 inf + 460 22.420 * * [simplify]: Extracting #5: cost 181 inf + 3265 22.423 * * [simplify]: Extracting #6: cost 150 inf + 15191 22.438 * * [simplify]: Extracting #7: cost 87 inf + 43315 22.459 * * [simplify]: Extracting #8: cost 18 inf + 86162 22.476 * * [simplify]: Extracting #9: cost 0 inf + 98950 22.501 * * [simplify]: Extracting #10: cost 0 inf + 98502 22.520 * * [simplify]: Extracting #11: cost 0 inf + 98462 22.547 * [simplify]: Simplified to (* (* (* (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))) R)) 22.547 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))) R) (* (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))) R)) (* (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))) R)))) 22.547 * * * * [progress]: [ 54 / 78 ] simplifiying candidate # 22.547 * * * * [progress]: [ 55 / 78 ] simplifiying candidate # 22.548 * * * * [progress]: [ 56 / 78 ] simplifiying candidate # 22.548 * * * * [progress]: [ 57 / 78 ] simplifiying candidate # 22.548 * * * * [progress]: [ 58 / 78 ] simplifiying candidate # 22.548 * [simplify]: Simplifying (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 22.548 * * [simplify]: iters left: 6 (28 enodes) 22.561 * * [simplify]: iters left: 5 (101 enodes) 22.595 * * [simplify]: iters left: 4 (192 enodes) 22.650 * * [simplify]: iters left: 3 (380 enodes) 22.770 * * [simplify]: Extracting #0: cost 1 inf + 0 22.770 * * [simplify]: Extracting #1: cost 4 inf + 0 22.770 * * [simplify]: Extracting #2: cost 8 inf + 0 22.770 * * [simplify]: Extracting #3: cost 7 inf + 83 22.770 * * [simplify]: Extracting #4: cost 38 inf + 83 22.770 * * [simplify]: Extracting #5: cost 123 inf + 83 22.771 * * [simplify]: Extracting #6: cost 136 inf + 2798 22.776 * * [simplify]: Extracting #7: cost 82 inf + 23509 22.783 * * [simplify]: Extracting #8: cost 49 inf + 34305 22.792 * * [simplify]: Extracting #9: cost 11 inf + 50668 22.805 * * [simplify]: Extracting #10: cost 0 inf + 56165 22.823 * * [simplify]: Extracting #11: cost 0 inf + 55928 22.845 * * [simplify]: Extracting #12: cost 0 inf + 55809 22.864 * [simplify]: Simplified to (* (sqrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)) 22.864 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)))) 22.864 * [simplify]: Simplifying (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 22.865 * * [simplify]: iters left: 6 (28 enodes) 22.877 * * [simplify]: iters left: 5 (101 enodes) 22.910 * * [simplify]: iters left: 4 (192 enodes) 22.987 * * [simplify]: iters left: 3 (380 enodes) 23.070 * * [simplify]: Extracting #0: cost 1 inf + 0 23.070 * * [simplify]: Extracting #1: cost 4 inf + 0 23.070 * * [simplify]: Extracting #2: cost 8 inf + 0 23.070 * * [simplify]: Extracting #3: cost 7 inf + 83 23.070 * * [simplify]: Extracting #4: cost 38 inf + 83 23.071 * * [simplify]: Extracting #5: cost 123 inf + 83 23.071 * * [simplify]: Extracting #6: cost 136 inf + 2798 23.076 * * [simplify]: Extracting #7: cost 82 inf + 23509 23.083 * * [simplify]: Extracting #8: cost 49 inf + 34305 23.100 * * [simplify]: Extracting #9: cost 11 inf + 50668 23.118 * * [simplify]: Extracting #10: cost 0 inf + 56165 23.137 * * [simplify]: Extracting #11: cost 0 inf + 55928 23.158 * * [simplify]: Extracting #12: cost 0 inf + 55809 23.176 * [simplify]: Simplified to (* (sqrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)) 23.177 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) (* (sqrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (sqrt R)))) 23.177 * * * * [progress]: [ 59 / 78 ] simplifiying candidate # 23.177 * [simplify]: Simplifying (cbrt R) 23.177 * * [simplify]: iters left: 1 (2 enodes) 23.178 * * [simplify]: Extracting #0: cost 1 inf + 0 23.178 * * [simplify]: Extracting #1: cost 3 inf + 0 23.178 * * [simplify]: Extracting #2: cost 2 inf + 1 23.178 * * [simplify]: Extracting #3: cost 0 inf + 163 23.178 * [simplify]: Simplified to (cbrt R) 23.179 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (* (cbrt R) (cbrt R))) (cbrt R))) 23.179 * * * * [progress]: [ 60 / 78 ] simplifiying candidate # 23.179 * [simplify]: Simplifying (sqrt R) 23.179 * * [simplify]: iters left: 1 (2 enodes) 23.180 * * [simplify]: Extracting #0: cost 1 inf + 0 23.180 * * [simplify]: Extracting #1: cost 3 inf + 0 23.180 * * [simplify]: Extracting #2: cost 2 inf + 1 23.180 * * [simplify]: Extracting #3: cost 0 inf + 83 23.180 * [simplify]: Simplified to (sqrt R) 23.180 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) (sqrt R)) (sqrt R))) 23.181 * * * * [progress]: [ 61 / 78 ] simplifiying candidate # 23.181 * * * * [progress]: [ 62 / 78 ] simplifiying candidate # 23.181 * [simplify]: Simplifying (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 23.181 * * [simplify]: iters left: 6 (26 enodes) 23.193 * * [simplify]: iters left: 5 (94 enodes) 23.219 * * [simplify]: iters left: 4 (185 enodes) 23.268 * * [simplify]: iters left: 3 (374 enodes) 23.341 * * [simplify]: Extracting #0: cost 1 inf + 0 23.341 * * [simplify]: Extracting #1: cost 3 inf + 0 23.341 * * [simplify]: Extracting #2: cost 5 inf + 0 23.341 * * [simplify]: Extracting #3: cost 7 inf + 0 23.341 * * [simplify]: Extracting #4: cost 39 inf + 0 23.341 * * [simplify]: Extracting #5: cost 124 inf + 0 23.342 * * [simplify]: Extracting #6: cost 138 inf + 2553 23.350 * * [simplify]: Extracting #7: cost 79 inf + 25497 23.365 * * [simplify]: Extracting #8: cost 46 inf + 39663 23.382 * * [simplify]: Extracting #9: cost 17 inf + 49532 23.401 * * [simplify]: Extracting #10: cost 0 inf + 56822 23.420 * * [simplify]: Extracting #11: cost 0 inf + 56585 23.439 * [simplify]: Simplified to (* (cbrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))))) 23.439 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (fma (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 23.439 * * * * [progress]: [ 63 / 78 ] simplifiying candidate # 23.440 * [simplify]: Simplifying (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 23.440 * * [simplify]: iters left: 6 (25 enodes) 23.454 * * [simplify]: iters left: 5 (91 enodes) 23.475 * * [simplify]: iters left: 4 (182 enodes) 23.541 * * [simplify]: iters left: 3 (371 enodes) 23.644 * * [simplify]: Extracting #0: cost 1 inf + 0 23.644 * * [simplify]: Extracting #1: cost 3 inf + 0 23.644 * * [simplify]: Extracting #2: cost 5 inf + 0 23.644 * * [simplify]: Extracting #3: cost 36 inf + 0 23.644 * * [simplify]: Extracting #4: cost 121 inf + 0 23.645 * * [simplify]: Extracting #5: cost 134 inf + 2816 23.650 * * [simplify]: Extracting #6: cost 74 inf + 24577 23.659 * * [simplify]: Extracting #7: cost 35 inf + 39043 23.677 * * [simplify]: Extracting #8: cost 3 inf + 52771 23.695 * * [simplify]: Extracting #9: cost 0 inf + 54154 23.713 * * [simplify]: Extracting #10: cost 0 inf + 53955 23.731 * * [simplify]: Extracting #11: cost 0 inf + 53876 23.749 * [simplify]: Simplified to (sqrt (acos (fma (sin phi1) (sin phi2) (* (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)))))) 23.749 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (fma (sin phi1) (sin phi2) (* (fma (sin lambda1) (sin lambda2) (* (cos lambda1) (cos lambda2))) (* (cos phi1) (cos phi2)))))) (* (sqrt (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) R))) 23.749 * * * * [progress]: [ 64 / 78 ] simplifiying candidate # 23.749 * * * * [progress]: [ 65 / 78 ] simplifiying candidate #real (real->posit16 (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R))))> 23.749 * * * * [progress]: [ 66 / 78 ] simplifiying candidate # 23.749 * * * * [progress]: [ 67 / 78 ] simplifiying candidate # 23.750 * [simplify]: Simplifying (* lambda2 lambda1) 23.750 * * [simplify]: iters left: 2 (3 enodes) 23.750 * * [simplify]: iters left: 1 (10 enodes) 23.752 * * [simplify]: Extracting #0: cost 1 inf + 0 23.752 * * [simplify]: Extracting #1: cost 4 inf + 0 23.752 * * [simplify]: Extracting #2: cost 2 inf + 2 23.752 * * [simplify]: Extracting #3: cost 0 inf + 86 23.752 * [simplify]: Simplified to (* lambda2 lambda1) 23.752 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))) R)) 23.752 * * * * [progress]: [ 68 / 78 ] simplifiying candidate # 23.752 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 23.752 * * [simplify]: iters left: 3 (5 enodes) 23.753 * * [simplify]: iters left: 2 (16 enodes) 23.756 * * [simplify]: Extracting #0: cost 1 inf + 0 23.756 * * [simplify]: Extracting #1: cost 4 inf + 0 23.756 * * [simplify]: Extracting #2: cost 8 inf + 0 23.756 * * [simplify]: Extracting #3: cost 4 inf + 124 23.756 * * [simplify]: Extracting #4: cost 0 inf + 570 23.756 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 23.756 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R)) 23.756 * * * * [progress]: [ 69 / 78 ] simplifiying candidate # 23.756 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 23.756 * * [simplify]: iters left: 3 (5 enodes) 23.757 * * [simplify]: iters left: 2 (16 enodes) 23.760 * * [simplify]: Extracting #0: cost 1 inf + 0 23.760 * * [simplify]: Extracting #1: cost 4 inf + 0 23.760 * * [simplify]: Extracting #2: cost 8 inf + 0 23.760 * * [simplify]: Extracting #3: cost 4 inf + 124 23.760 * * [simplify]: Extracting #4: cost 0 inf + 570 23.760 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 23.760 * [simplify]: Simplified (2 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (log (exp (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))) R)) 23.760 * * * * [progress]: [ 70 / 78 ] simplifiying candidate # 23.760 * [simplify]: Simplifying (* phi1 phi2) 23.760 * * [simplify]: iters left: 2 (3 enodes) 23.761 * * [simplify]: iters left: 1 (10 enodes) 23.763 * * [simplify]: Extracting #0: cost 1 inf + 0 23.763 * * [simplify]: Extracting #1: cost 4 inf + 0 23.763 * * [simplify]: Extracting #2: cost 2 inf + 2 23.763 * * [simplify]: Extracting #3: cost 0 inf + 86 23.763 * [simplify]: Simplified to (* phi1 phi2) 23.763 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* phi1 phi2) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 23.764 * * * * [progress]: [ 71 / 78 ] simplifiying candidate # 23.765 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 23.765 * * [simplify]: iters left: 3 (5 enodes) 23.766 * * [simplify]: iters left: 2 (16 enodes) 23.768 * * [simplify]: Extracting #0: cost 1 inf + 0 23.768 * * [simplify]: Extracting #1: cost 4 inf + 0 23.768 * * [simplify]: Extracting #2: cost 8 inf + 0 23.768 * * [simplify]: Extracting #3: cost 4 inf + 124 23.768 * * [simplify]: Extracting #4: cost 0 inf + 570 23.768 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 23.768 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 23.768 * * * * [progress]: [ 72 / 78 ] simplifiying candidate # 23.769 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 23.769 * * [simplify]: iters left: 3 (5 enodes) 23.770 * * [simplify]: iters left: 2 (16 enodes) 23.772 * * [simplify]: Extracting #0: cost 1 inf + 0 23.772 * * [simplify]: Extracting #1: cost 4 inf + 0 23.772 * * [simplify]: Extracting #2: cost 8 inf + 0 23.772 * * [simplify]: Extracting #3: cost 4 inf + 124 23.772 * * [simplify]: Extracting #4: cost 0 inf + 570 23.772 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 23.772 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R)) 23.772 * * * * [progress]: [ 73 / 78 ] simplifiying candidate # 23.773 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 23.773 * * [simplify]: iters left: 6 (22 enodes) 23.778 * * [simplify]: iters left: 5 (86 enodes) 23.799 * * [simplify]: iters left: 4 (152 enodes) 23.830 * * [simplify]: iters left: 3 (310 enodes) 23.909 * * [simplify]: iters left: 2 (400 enodes) 23.977 * * [simplify]: iters left: 1 (402 enodes) 24.020 * * [simplify]: Extracting #0: cost 1 inf + 0 24.020 * * [simplify]: Extracting #1: cost 3 inf + 0 24.020 * * [simplify]: Extracting #2: cost 40 inf + 0 24.021 * * [simplify]: Extracting #3: cost 80 inf + 0 24.021 * * [simplify]: Extracting #4: cost 66 inf + 1018 24.024 * * [simplify]: Extracting #5: cost 25 inf + 9814 24.029 * * [simplify]: Extracting #6: cost 2 inf + 17660 24.035 * * [simplify]: Extracting #7: cost 1 inf + 18424 24.041 * * [simplify]: Extracting #8: cost 0 inf + 19228 24.046 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) 24.046 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R)) 24.046 * * * * [progress]: [ 74 / 78 ] simplifiying candidate # 24.047 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 24.047 * * [simplify]: iters left: 6 (22 enodes) 24.055 * * [simplify]: iters left: 5 (86 enodes) 24.082 * * [simplify]: iters left: 4 (152 enodes) 24.136 * * [simplify]: iters left: 3 (310 enodes) 24.225 * * [simplify]: iters left: 2 (400 enodes) 24.279 * * [simplify]: iters left: 1 (402 enodes) 24.319 * * [simplify]: Extracting #0: cost 1 inf + 0 24.319 * * [simplify]: Extracting #1: cost 3 inf + 0 24.319 * * [simplify]: Extracting #2: cost 40 inf + 0 24.320 * * [simplify]: Extracting #3: cost 80 inf + 0 24.320 * * [simplify]: Extracting #4: cost 63 inf + 1403 24.323 * * [simplify]: Extracting #5: cost 22 inf + 10199 24.329 * * [simplify]: Extracting #6: cost 2 inf + 17660 24.334 * * [simplify]: Extracting #7: cost 1 inf + 18424 24.339 * * [simplify]: Extracting #8: cost 0 inf + 19228 24.345 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 24.345 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 24.345 * * * * [progress]: [ 75 / 78 ] simplifiying candidate # 24.345 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.345 * * [simplify]: iters left: 6 (22 enodes) 24.351 * * [simplify]: iters left: 5 (86 enodes) 24.370 * * [simplify]: iters left: 4 (152 enodes) 24.413 * * [simplify]: iters left: 3 (310 enodes) 24.480 * * [simplify]: iters left: 2 (400 enodes) 24.548 * * [simplify]: iters left: 1 (402 enodes) 24.591 * * [simplify]: Extracting #0: cost 1 inf + 0 24.591 * * [simplify]: Extracting #1: cost 3 inf + 0 24.591 * * [simplify]: Extracting #2: cost 40 inf + 0 24.592 * * [simplify]: Extracting #3: cost 80 inf + 0 24.592 * * [simplify]: Extracting #4: cost 66 inf + 1018 24.598 * * [simplify]: Extracting #5: cost 25 inf + 9814 24.610 * * [simplify]: Extracting #6: cost 2 inf + 17660 24.621 * * [simplify]: Extracting #7: cost 1 inf + 18424 24.628 * * [simplify]: Extracting #8: cost 0 inf + 19228 24.634 * [simplify]: Simplified to (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) 24.634 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (sin phi2) (sin phi1) (* (fma (sin lambda2) (sin lambda1) (* (cos lambda1) (cos lambda2))) (* (cos phi2) (cos phi1))))) R)) 24.634 * * * * [progress]: [ 76 / 78 ] simplifiying candidate # 24.634 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 24.634 * * [simplify]: iters left: 6 (24 enodes) 24.640 * * [simplify]: iters left: 5 (93 enodes) 24.658 * * [simplify]: iters left: 4 (159 enodes) 24.700 * * [simplify]: iters left: 3 (317 enodes) 24.783 * * [simplify]: iters left: 2 (409 enodes) 24.865 * * [simplify]: iters left: 1 (412 enodes) 24.917 * * [simplify]: Extracting #0: cost 1 inf + 0 24.917 * * [simplify]: Extracting #1: cost 4 inf + 0 24.917 * * [simplify]: Extracting #2: cost 5 inf + 1 24.917 * * [simplify]: Extracting #3: cost 42 inf + 1 24.918 * * [simplify]: Extracting #4: cost 82 inf + 1 24.918 * * [simplify]: Extracting #5: cost 73 inf + 411 24.919 * * [simplify]: Extracting #6: cost 34 inf + 7786 24.924 * * [simplify]: Extracting #7: cost 4 inf + 18252 24.930 * * [simplify]: Extracting #8: cost 1 inf + 20074 24.942 * * [simplify]: Extracting #9: cost 0 inf + 20919 24.952 * [simplify]: Simplified to (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1))))) 24.953 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1)))))) 24.953 * * * * [progress]: [ 77 / 78 ] simplifiying candidate # 24.953 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 24.953 * * [simplify]: iters left: 6 (24 enodes) 24.964 * * [simplify]: iters left: 5 (93 enodes) 24.993 * * [simplify]: iters left: 4 (159 enodes) 25.026 * * [simplify]: iters left: 3 (318 enodes) 25.084 * * [simplify]: iters left: 2 (407 enodes) 25.172 * * [simplify]: iters left: 1 (409 enodes) 25.216 * * [simplify]: Extracting #0: cost 1 inf + 0 25.216 * * [simplify]: Extracting #1: cost 4 inf + 0 25.216 * * [simplify]: Extracting #2: cost 5 inf + 1 25.217 * * [simplify]: Extracting #3: cost 42 inf + 1 25.217 * * [simplify]: Extracting #4: cost 82 inf + 1 25.218 * * [simplify]: Extracting #5: cost 64 inf + 1465 25.222 * * [simplify]: Extracting #6: cost 23 inf + 12212 25.233 * * [simplify]: Extracting #7: cost 3 inf + 19788 25.246 * * [simplify]: Extracting #8: cost 0 inf + 20999 25.253 * * [simplify]: Extracting #9: cost 0 inf + 20919 25.258 * [simplify]: Simplified to (* (acos (fma (cos phi2) (* (cos phi1) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))) R) 25.258 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (fma (cos phi2) (* (cos phi1) (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))) R)) 25.258 * * * * [progress]: [ 78 / 78 ] simplifiying candidate # 25.259 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 25.259 * * [simplify]: iters left: 6 (24 enodes) 25.265 * * [simplify]: iters left: 5 (93 enodes) 25.282 * * [simplify]: iters left: 4 (159 enodes) 25.332 * * [simplify]: iters left: 3 (317 enodes) 25.396 * * [simplify]: iters left: 2 (409 enodes) 25.461 * * [simplify]: iters left: 1 (412 enodes) 25.504 * * [simplify]: Extracting #0: cost 1 inf + 0 25.504 * * [simplify]: Extracting #1: cost 4 inf + 0 25.504 * * [simplify]: Extracting #2: cost 5 inf + 1 25.504 * * [simplify]: Extracting #3: cost 42 inf + 1 25.505 * * [simplify]: Extracting #4: cost 82 inf + 1 25.506 * * [simplify]: Extracting #5: cost 73 inf + 411 25.508 * * [simplify]: Extracting #6: cost 34 inf + 7786 25.517 * * [simplify]: Extracting #7: cost 4 inf + 18252 25.528 * * [simplify]: Extracting #8: cost 1 inf + 20074 25.534 * * [simplify]: Extracting #9: cost 0 inf + 20919 25.540 * [simplify]: Simplified to (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1))))) 25.540 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (fma (fma (sin lambda2) (sin lambda1) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1)) (* (sin phi2) (sin phi1)))))) 25.540 * * * [progress]: adding candidates to table 27.630 * [progress]: [Phase 3 of 3] Extracting. 27.630 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 27.653 * * * [regime-changes]: Trying 7 branch expressions: (R lambda2 lambda1 (- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1) 27.654 * * * * [regimes]: Trying to branch on R from (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 27.983 * * * * [regimes]: Trying to branch on lambda2 from (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 28.308 * * * * [regimes]: Trying to branch on lambda1 from (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 28.636 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 28.938 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (# # #) 29.003 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 29.284 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (# # #) 29.356 * * * * [regimes]: Trying to branch on phi2 from (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 29.657 * * * * [regimes]: Trying to branch on phi1 from (# # # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # # # # # # # #) 29.935 * * * [regime]: Found split indices: #