0.002 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.898 * * * [progress]: [2/2] Setting up program. 0.905 * [progress]: [Phase 2 of 3] Improving. 0.905 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.906 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 0.907 * * [simplify]: iters left: 6 (17 enodes) 0.914 * * [simplify]: iters left: 5 (60 enodes) 0.958 * * [simplify]: iters left: 4 (71 enodes) 0.981 * * [simplify]: iters left: 3 (76 enodes) 1.000 * * [simplify]: Extracting #0: cost 1 inf + 0 1.001 * * [simplify]: Extracting #1: cost 4 inf + 0 1.001 * * [simplify]: Extracting #2: cost 5 inf + 1 1.001 * * [simplify]: Extracting #3: cost 8 inf + 1 1.001 * * [simplify]: Extracting #4: cost 18 inf + 1 1.001 * * [simplify]: Extracting #5: cost 29 inf + 1 1.001 * * [simplify]: Extracting #6: cost 25 inf + 369 1.002 * * [simplify]: Extracting #7: cost 19 inf + 979 1.002 * * [simplify]: Extracting #8: cost 9 inf + 2522 1.003 * * [simplify]: Extracting #9: cost 0 inf + 6397 1.004 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.004 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 1.011 * * [progress]: iteration 1 / 4 1.011 * * * [progress]: picking best candidate 1.016 * * * * [pick]: Picked # 1.017 * * * [progress]: localizing error 1.115 * * * [progress]: generating rewritten candidates 1.115 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2) 1.134 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.138 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 1.148 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2) 1.201 * * * [progress]: generating series expansions 1.201 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2) 1.204 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.204 * [approximate]: Taking taylor expansion of (cos (- lambda1 lambda2)) in (lambda1 lambda2) around 0 1.204 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.205 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.205 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.205 * [backup-simplify]: Simplify lambda1 into lambda1 1.205 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.205 * [backup-simplify]: Simplify 0 into 0 1.205 * [backup-simplify]: Simplify 1 into 1 1.205 * [backup-simplify]: Simplify (- 0) into 0 1.205 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.205 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.206 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.206 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.206 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) 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 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.206 * [backup-simplify]: Simplify lambda2 into lambda2 1.206 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.206 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.206 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.206 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.206 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.206 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) 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 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.206 * [backup-simplify]: Simplify lambda2 into lambda2 1.206 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.206 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.206 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.206 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.208 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.208 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.208 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.209 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.209 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.209 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.209 * [backup-simplify]: Simplify 0 into 0 1.209 * [backup-simplify]: Simplify 1 into 1 1.209 * [backup-simplify]: Simplify (- 0) into 0 1.209 * [backup-simplify]: Simplify (- 1) into -1 1.209 * [backup-simplify]: Simplify 1 into 1 1.211 * [backup-simplify]: Simplify (+ 0) into 0 1.211 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.212 * [backup-simplify]: Simplify (- 0) into 0 1.212 * [backup-simplify]: Simplify (+ 1 0) into 1 1.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.213 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.213 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.213 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.213 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.213 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.213 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.213 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 1 into 1 1.213 * [backup-simplify]: Simplify (- 0) into 0 1.213 * [backup-simplify]: Simplify (- 1) into -1 1.214 * [backup-simplify]: Simplify (- 0) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.214 * [backup-simplify]: Simplify (+ 0) into 0 1.214 * [backup-simplify]: Simplify 0 into 0 1.215 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.215 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda2)))) 1.216 * [backup-simplify]: Simplify (- 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 0) into 0 1.216 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.217 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 0) (+ (* 0 1) (* 0 0))) into 0 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.217 * [backup-simplify]: Simplify (+ (- (* 1/2 (cos (- lambda2)))) 0) into (- (* 1/2 (cos (- lambda2)))) 1.217 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.217 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.217 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.217 * [backup-simplify]: Simplify 1/2 into 1/2 1.217 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.217 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.217 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.217 * [backup-simplify]: Simplify 0 into 0 1.217 * [backup-simplify]: Simplify 1 into 1 1.217 * [backup-simplify]: Simplify (- 0) into 0 1.218 * [backup-simplify]: Simplify (- 1) into -1 1.218 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.218 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.218 * [backup-simplify]: Simplify -1/2 into -1/2 1.219 * [backup-simplify]: Simplify (- 1) into -1 1.219 * [backup-simplify]: Simplify (+ (* 1 (/ (pow -1 1) 1))) into -1 1.220 * [backup-simplify]: Simplify (- -1) into 1 1.220 * [backup-simplify]: Simplify 1 into 1 1.220 * [backup-simplify]: Simplify (+ (* 1 (* lambda2 lambda1)) (+ (* -1/2 (pow (* 1 lambda1) 2)) 1)) into (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 1.220 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.220 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in (lambda1 lambda2) around 0 1.220 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.220 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.220 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.220 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.220 * [backup-simplify]: Simplify lambda1 into lambda1 1.220 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.221 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.221 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.221 * [backup-simplify]: Simplify 0 into 0 1.221 * [backup-simplify]: Simplify 1 into 1 1.221 * [backup-simplify]: Simplify (/ 1 1) into 1 1.221 * [backup-simplify]: Simplify (- 1) into -1 1.222 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.222 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.222 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.222 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.222 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.222 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.222 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify 1 into 1 1.222 * [backup-simplify]: Simplify (/ 1 1) into 1 1.222 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.222 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.222 * [backup-simplify]: Simplify lambda2 into lambda2 1.222 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.222 * [backup-simplify]: Simplify (+ 1 0) into 1 1.222 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.222 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.222 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.222 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.222 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.222 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.223 * [backup-simplify]: Simplify (/ 1 1) into 1 1.223 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.223 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.223 * [backup-simplify]: Simplify lambda2 into lambda2 1.223 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.223 * [backup-simplify]: Simplify (+ 1 0) into 1 1.223 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.223 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.223 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.223 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.223 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.223 * [backup-simplify]: Simplify lambda1 into lambda1 1.223 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.223 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.223 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.223 * [backup-simplify]: Simplify 0 into 0 1.223 * [backup-simplify]: Simplify 1 into 1 1.228 * [backup-simplify]: Simplify (/ 1 1) into 1 1.228 * [backup-simplify]: Simplify (- 1) into -1 1.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.229 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.229 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.229 * [taylor]: Taking taylor expansion of 0 in lambda2 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [taylor]: Taking taylor expansion of 0 in lambda2 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [taylor]: Taking taylor expansion of 0 in lambda2 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) into (cos (- lambda1 lambda2)) 1.229 * [backup-simplify]: Simplify (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2)))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.229 * [approximate]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in (lambda1 lambda2) around 0 1.229 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.229 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.229 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.229 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.230 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.230 * [backup-simplify]: Simplify lambda1 into lambda1 1.230 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.230 * [backup-simplify]: Simplify (+ 1 0) into 1 1.230 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.230 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.230 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.230 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.230 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.230 * [backup-simplify]: Simplify lambda2 into lambda2 1.230 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.230 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.230 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify (/ 1 1) into 1 1.231 * [backup-simplify]: Simplify (- 1) into -1 1.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.231 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.231 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.231 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.231 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.231 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.231 * [backup-simplify]: Simplify lambda2 into lambda2 1.231 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.231 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.231 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (/ 1 1) into 1 1.232 * [backup-simplify]: Simplify (- 1) into -1 1.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.232 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.232 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.232 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.232 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.232 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.232 * [backup-simplify]: Simplify 0 into 0 1.232 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (/ 1 1) into 1 1.233 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.233 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.233 * [backup-simplify]: Simplify lambda1 into lambda1 1.233 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.233 * [backup-simplify]: Simplify (+ 1 0) into 1 1.233 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.233 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.233 * [taylor]: Taking taylor expansion of 0 in lambda2 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [taylor]: Taking taylor expansion of 0 in lambda2 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [taylor]: Taking taylor expansion of 0 in lambda2 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))) into (cos (- lambda1 lambda2)) 1.234 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.234 * [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)))) 1.234 * [approximate]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in (phi1 phi2 lambda1 lambda2) around 0 1.234 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.235 * [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)))) 1.235 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.235 * [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)))) 1.235 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.235 * [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)))) 1.236 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.236 * [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)))) 1.236 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.236 * [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)))) 1.236 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.236 * [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)))) 1.236 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.236 * [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)))) 1.236 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.236 * [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)))) 1.237 * [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)))) 1.237 * [taylor]: Taking taylor expansion of 0 in phi2 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda1 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda2 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda1 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda2 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda2 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in phi2 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda1 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda2 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda1 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [taylor]: Taking taylor expansion of 0 in lambda2 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [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)))) 1.238 * [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)))))) 1.238 * [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 1.238 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda2 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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in lambda1 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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi2 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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in phi1 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 (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) in 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)))))) 1.239 * [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 1.239 * [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)))))) 1.239 * [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 1.239 * [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)))))) 1.239 * [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 1.239 * [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 (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 * [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 1.240 * [backup-simplify]: Simplify 0 into 0 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 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [taylor]: Taking taylor expansion of 0 in lambda2 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 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 1.240 * [backup-simplify]: Simplify 0 into 0 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 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [backup-simplify]: Simplify 0 into 0 1.240 * [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)))) 1.241 * [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))))))) 1.241 * [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 1.241 * [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 1.241 * [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))))))) 1.241 * [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 1.241 * [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))))))) 1.241 * [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 1.241 * [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))))))) 1.242 * [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 1.242 * [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))))))) 1.242 * [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 1.242 * [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))))))) 1.242 * [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 1.242 * [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))))))) 1.242 * [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 1.242 * [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))))))) 1.243 * [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 1.243 * [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))))))) 1.243 * [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))))))) 1.243 * [taylor]: Taking taylor expansion of 0 in phi2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda1 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda1 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in phi2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda1 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda1 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [taylor]: Taking taylor expansion of 0 in lambda2 1.243 * [backup-simplify]: Simplify 0 into 0 1.243 * [backup-simplify]: Simplify 0 into 0 1.244 * [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)))) 1.244 * * * * [progress]: [ 3 / 4 ] generating series at (2) 1.244 * [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) 1.244 * [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 1.244 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.244 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.244 * [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)))) 1.244 * [taylor]: Taking taylor expansion of R in R 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.244 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.244 * [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)))) 1.245 * [taylor]: Taking taylor expansion of R in lambda2 1.245 * [backup-simplify]: Simplify R into R 1.245 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.245 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.245 * [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)))) 1.245 * [taylor]: Taking taylor expansion of R in lambda1 1.245 * [backup-simplify]: Simplify R into R 1.245 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.245 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.245 * [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)))) 1.245 * [taylor]: Taking taylor expansion of R in phi2 1.245 * [backup-simplify]: Simplify R into R 1.245 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.245 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.245 * [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)))) 1.245 * [taylor]: Taking taylor expansion of R in phi1 1.245 * [backup-simplify]: Simplify R into R 1.245 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi1 1.245 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi1 1.245 * [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)))) 1.245 * [taylor]: Taking taylor expansion of R in phi1 1.245 * [backup-simplify]: Simplify R into R 1.246 * [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) 1.246 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in phi2 1.246 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in phi2 1.246 * [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)))) 1.246 * [taylor]: Taking taylor expansion of R in phi2 1.246 * [backup-simplify]: Simplify R into R 1.246 * [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) 1.246 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda1 1.246 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda1 1.246 * [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)))) 1.246 * [taylor]: Taking taylor expansion of R in lambda1 1.246 * [backup-simplify]: Simplify R into R 1.246 * [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) 1.246 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in lambda2 1.246 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in lambda2 1.246 * [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)))) 1.246 * [taylor]: Taking taylor expansion of R in lambda2 1.246 * [backup-simplify]: Simplify R into R 1.247 * [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) 1.247 * [taylor]: Taking taylor expansion of (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) in R 1.247 * [taylor]: Taking taylor expansion of (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) in R 1.247 * [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)))) 1.247 * [taylor]: Taking taylor expansion of R in R 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.247 * [backup-simplify]: Simplify (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) into 0 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.247 * [taylor]: Taking taylor expansion of 0 in phi2 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [taylor]: Taking taylor expansion of 0 in lambda1 1.247 * [backup-simplify]: Simplify 0 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 * [backup-simplify]: Simplify 0 into 0 1.248 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda1 1.248 * [backup-simplify]: Simplify 0 into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda2 1.248 * [backup-simplify]: Simplify 0 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 (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (* 0 R)) into 0 1.248 * [taylor]: Taking taylor expansion of 0 in lambda2 1.248 * [backup-simplify]: Simplify 0 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 (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 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 1.249 * [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)))) 1.249 * [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)))) 1.250 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.250 * [taylor]: Taking taylor expansion of 0 in phi2 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in lambda1 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in lambda2 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in R 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in lambda1 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in lambda2 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in R 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.250 * [taylor]: Taking taylor expansion of 0 in lambda1 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in lambda2 1.250 * [backup-simplify]: Simplify 0 into 0 1.250 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify (+ (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 0) (+ (* 0 0) (* 0 R))) into 0 1.251 * [taylor]: Taking taylor expansion of 0 in lambda2 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [taylor]: Taking taylor expansion of 0 in R 1.251 * [backup-simplify]: Simplify 0 into 0 1.251 * [backup-simplify]: Simplify 0 into 0 1.252 * [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) 1.252 * [backup-simplify]: Simplify (* (acos (+ (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))))) (/ 1 R)) into (/ (acos (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) 1.252 * [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 1.252 * [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 1.252 * [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 1.253 * [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)))))) 1.253 * [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 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)))))) 1.253 * [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 1.253 * [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 1.253 * [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)))))) 1.253 * [taylor]: Taking taylor expansion of R in lambda2 1.253 * [backup-simplify]: Simplify R into R 1.254 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 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) 1.254 * [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 1.254 * [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 1.254 * [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)))))) 1.254 * [taylor]: Taking taylor expansion of R in lambda1 1.254 * [backup-simplify]: Simplify R into R 1.254 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 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) 1.254 * [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 1.254 * [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 1.254 * [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)))))) 1.254 * [taylor]: Taking taylor expansion of R in phi2 1.254 * [backup-simplify]: Simplify R into R 1.255 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 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) 1.255 * [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 1.255 * [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 1.255 * [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)))))) 1.255 * [taylor]: Taking taylor expansion of R in phi1 1.255 * [backup-simplify]: Simplify R into R 1.255 * [backup-simplify]: Simplify (/ (acos (+ (* (sin (/ 1 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) 1.255 * [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 1.255 * [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 1.255 * [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)))))) 1.255 * [taylor]: Taking taylor expansion of R in phi1 1.255 * [backup-simplify]: Simplify R into R 1.256 * [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) 1.256 * [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 1.256 * [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 1.256 * [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)))))) 1.256 * [taylor]: Taking taylor expansion of R in phi2 1.256 * [backup-simplify]: Simplify R into R 1.256 * [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) 1.256 * [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 1.256 * [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 1.257 * [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)))))) 1.257 * [taylor]: Taking taylor expansion of R in lambda1 1.257 * [backup-simplify]: Simplify R into R 1.257 * [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) 1.257 * [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 1.257 * [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 1.257 * [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)))))) 1.257 * [taylor]: Taking taylor expansion of R in lambda2 1.257 * [backup-simplify]: Simplify R into R 1.257 * [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) 1.257 * [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 1.257 * [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 1.258 * [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)))))) 1.258 * [taylor]: Taking taylor expansion of R in R 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 1 into 1 1.258 * [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)))))) 1.258 * [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)))))) 1.259 * [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 1.259 * [taylor]: Taking taylor expansion of 0 in phi2 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [taylor]: Taking taylor expansion of 0 in lambda1 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [taylor]: Taking taylor expansion of 0 in lambda2 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [taylor]: Taking taylor expansion of 0 in R 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [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 1.259 * [taylor]: Taking taylor expansion of 0 in lambda1 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [taylor]: Taking taylor expansion of 0 in lambda2 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [taylor]: Taking taylor expansion of 0 in R 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [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 1.259 * [taylor]: Taking taylor expansion of 0 in lambda2 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [taylor]: Taking taylor expansion of 0 in R 1.260 * [backup-simplify]: Simplify 0 into 0 1.260 * [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 1.260 * [taylor]: Taking taylor expansion of 0 in R 1.260 * [backup-simplify]: Simplify 0 into 0 1.261 * [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 1.261 * [backup-simplify]: Simplify 0 into 0 1.261 * [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 1.261 * [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 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in R 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda1 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in R 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [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 1.262 * [taylor]: Taking taylor expansion of 0 in lambda1 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in R 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in R 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in lambda2 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [taylor]: Taking taylor expansion of 0 in R 1.262 * [backup-simplify]: Simplify 0 into 0 1.263 * [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 1.263 * [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 * [taylor]: Taking taylor expansion of 0 in R 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 * [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 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) R) (/ 0 R)) (* 0 (/ 0 R)))) 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 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 0 into 0 1.264 * [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 1.264 * [backup-simplify]: Simplify 0 into 0 1.265 * [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) 1.265 * [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)) 1.266 * [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 1.266 * [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 1.266 * [taylor]: Taking taylor expansion of -1 in R 1.266 * [backup-simplify]: Simplify -1 into -1 1.266 * [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 1.266 * [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 1.266 * [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))))))) 1.266 * [taylor]: Taking taylor expansion of R in R 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [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))))))) 1.266 * [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 1.266 * [taylor]: Taking taylor expansion of -1 in lambda2 1.266 * [backup-simplify]: Simplify -1 into -1 1.266 * [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 1.266 * [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 1.266 * [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))))))) 1.266 * [taylor]: Taking taylor expansion of R in lambda2 1.266 * [backup-simplify]: Simplify R into R 1.267 * [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) 1.267 * [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 1.267 * [taylor]: Taking taylor expansion of -1 in lambda1 1.267 * [backup-simplify]: Simplify -1 into -1 1.267 * [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 1.267 * [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 1.267 * [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))))))) 1.267 * [taylor]: Taking taylor expansion of R in lambda1 1.267 * [backup-simplify]: Simplify R into R 1.267 * [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) 1.267 * [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 1.267 * [taylor]: Taking taylor expansion of -1 in phi2 1.267 * [backup-simplify]: Simplify -1 into -1 1.267 * [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 1.267 * [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 1.268 * [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))))))) 1.268 * [taylor]: Taking taylor expansion of R in phi2 1.268 * [backup-simplify]: Simplify R into R 1.268 * [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) 1.268 * [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 1.268 * [taylor]: Taking taylor expansion of -1 in phi1 1.268 * [backup-simplify]: Simplify -1 into -1 1.268 * [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 1.268 * [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 1.268 * [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))))))) 1.268 * [taylor]: Taking taylor expansion of R in phi1 1.268 * [backup-simplify]: Simplify R into R 1.268 * [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) 1.269 * [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 1.269 * [taylor]: Taking taylor expansion of -1 in phi1 1.269 * [backup-simplify]: Simplify -1 into -1 1.269 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi1 1.269 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi1 1.269 * [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))))))) 1.269 * [taylor]: Taking taylor expansion of R in phi1 1.269 * [backup-simplify]: Simplify R into R 1.269 * [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) 1.270 * [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)) 1.270 * [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 1.270 * [taylor]: Taking taylor expansion of -1 in phi2 1.270 * [backup-simplify]: Simplify -1 into -1 1.270 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in phi2 1.270 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in phi2 1.270 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.270 * [taylor]: Taking taylor expansion of R in phi2 1.270 * [backup-simplify]: Simplify R into R 1.270 * [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) 1.271 * [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)) 1.271 * [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 1.271 * [taylor]: Taking taylor expansion of -1 in lambda1 1.271 * [backup-simplify]: Simplify -1 into -1 1.271 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda1 1.271 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda1 1.271 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.271 * [taylor]: Taking taylor expansion of R in lambda1 1.271 * [backup-simplify]: Simplify R into R 1.271 * [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) 1.271 * [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)) 1.271 * [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 1.271 * [taylor]: Taking taylor expansion of -1 in lambda2 1.271 * [backup-simplify]: Simplify -1 into -1 1.271 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in lambda2 1.272 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in lambda2 1.272 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.272 * [taylor]: Taking taylor expansion of R in lambda2 1.272 * [backup-simplify]: Simplify R into R 1.272 * [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) 1.272 * [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)) 1.272 * [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 1.272 * [taylor]: Taking taylor expansion of -1 in R 1.272 * [backup-simplify]: Simplify -1 into -1 1.272 * [taylor]: Taking taylor expansion of (/ (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) R) in R 1.272 * [taylor]: Taking taylor expansion of (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) in R 1.273 * [backup-simplify]: Simplify (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into (acos (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) 1.273 * [taylor]: Taking taylor expansion of R in R 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [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))))))) 1.273 * [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)))))))) 1.273 * [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)))))))) 1.274 * [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 1.274 * [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 1.274 * [taylor]: Taking taylor expansion of 0 in phi2 1.274 * [backup-simplify]: Simplify 0 into 0 1.274 * [taylor]: Taking taylor expansion of 0 in lambda1 1.274 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in lambda2 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [taylor]: Taking taylor expansion of 0 in R 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [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 1.275 * [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 1.275 * [taylor]: Taking taylor expansion of 0 in lambda1 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [taylor]: Taking taylor expansion of 0 in lambda2 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [taylor]: Taking taylor expansion of 0 in R 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [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 1.277 * [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 1.277 * [taylor]: Taking taylor expansion of 0 in lambda2 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [taylor]: Taking taylor expansion of 0 in R 1.277 * [backup-simplify]: Simplify 0 into 0 1.277 * [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 1.277 * [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 1.278 * [taylor]: Taking taylor expansion of 0 in R 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [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 1.279 * [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 1.279 * [backup-simplify]: Simplify 0 into 0 1.279 * [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 1.280 * [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 1.280 * [taylor]: Taking taylor expansion of 0 in phi2 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in lambda1 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in lambda2 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in R 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in lambda1 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in lambda2 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [taylor]: Taking taylor expansion of 0 in R 1.280 * [backup-simplify]: Simplify 0 into 0 1.281 * [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 1.281 * [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 1.281 * [taylor]: Taking taylor expansion of 0 in lambda1 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in lambda2 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in R 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [taylor]: Taking taylor expansion of 0 in lambda2 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [taylor]: Taking taylor expansion of 0 in R 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [taylor]: Taking taylor expansion of 0 in lambda2 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [taylor]: Taking taylor expansion of 0 in R 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify (- (/ 0 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 1.283 * [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 1.283 * [taylor]: Taking taylor expansion of 0 in lambda2 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [taylor]: Taking taylor expansion of 0 in R 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [taylor]: Taking taylor expansion of 0 in R 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [taylor]: Taking taylor expansion of 0 in R 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [taylor]: Taking taylor expansion of 0 in R 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (- (/ 0 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 1.284 * [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 1.284 * [taylor]: Taking taylor expansion of 0 in R 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.284 * [backup-simplify]: Simplify 0 into 0 1.285 * [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 1.286 * [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 1.286 * [backup-simplify]: Simplify 0 into 0 1.287 * [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) 1.287 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2) 1.287 * [backup-simplify]: Simplify (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.287 * [approximate]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in (phi1 phi2 lambda1 lambda2) around 0 1.287 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda2 1.287 * [taylor]: Taking taylor expansion of (cos phi1) in lambda2 1.287 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.287 * [backup-simplify]: Simplify phi1 into phi1 1.287 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.287 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.287 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda2 1.287 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda2 1.287 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda2 1.287 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.287 * [backup-simplify]: Simplify lambda1 into lambda1 1.287 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.287 * [backup-simplify]: Simplify (- 0) into 0 1.287 * [backup-simplify]: Simplify (+ lambda1 0) into lambda1 1.287 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 1.287 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 1.288 * [taylor]: Taking taylor expansion of (cos phi2) in lambda2 1.288 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.288 * [backup-simplify]: Simplify phi2 into phi2 1.288 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.288 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.288 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in lambda1 1.288 * [taylor]: Taking taylor expansion of (cos phi1) in lambda1 1.288 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.288 * [backup-simplify]: Simplify phi1 into phi1 1.288 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.288 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.288 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in lambda1 1.288 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.288 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.288 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.288 * [backup-simplify]: Simplify lambda2 into lambda2 1.288 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.288 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.288 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.288 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.288 * [taylor]: Taking taylor expansion of (cos phi2) in lambda1 1.288 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.288 * [backup-simplify]: Simplify phi2 into phi2 1.288 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.288 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.288 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.288 * [taylor]: Taking taylor expansion of (cos phi1) in phi2 1.288 * [taylor]: Taking taylor expansion of phi1 in phi2 1.288 * [backup-simplify]: Simplify phi1 into phi1 1.288 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 1.288 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 1.288 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.288 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.288 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.288 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.288 * [backup-simplify]: Simplify lambda1 into lambda1 1.288 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.288 * [backup-simplify]: Simplify lambda2 into lambda2 1.288 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.288 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.288 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.288 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.288 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.288 * [taylor]: Taking taylor expansion of phi2 in phi2 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 1 into 1 1.288 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1 1.288 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.289 * [taylor]: Taking taylor expansion of phi1 in phi1 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1 1.289 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 1.289 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.289 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.289 * [backup-simplify]: Simplify lambda1 into lambda1 1.289 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.289 * [backup-simplify]: Simplify lambda2 into lambda2 1.289 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.289 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.289 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.289 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.289 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.289 * [taylor]: Taking taylor expansion of phi2 in phi1 1.289 * [backup-simplify]: Simplify phi2 into phi2 1.289 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.289 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.289 * [taylor]: Taking taylor expansion of (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) in phi1 1.289 * [taylor]: Taking taylor expansion of (cos phi1) in phi1 1.289 * [taylor]: Taking taylor expansion of phi1 in phi1 1.289 * [backup-simplify]: Simplify 0 into 0 1.289 * [backup-simplify]: Simplify 1 into 1 1.289 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi1 1.289 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi1 1.289 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi1 1.289 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.289 * [backup-simplify]: Simplify lambda1 into lambda1 1.289 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.289 * [backup-simplify]: Simplify lambda2 into lambda2 1.289 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.289 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.289 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.289 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.289 * [taylor]: Taking taylor expansion of (cos phi2) in phi1 1.289 * [taylor]: Taking taylor expansion of phi2 in phi1 1.289 * [backup-simplify]: Simplify phi2 into phi2 1.289 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 1.289 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 1.289 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.289 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.290 * [backup-simplify]: Simplify (* (cos phi2) 1) into (cos phi2) 1.290 * [backup-simplify]: Simplify (* (sin phi2) 0) into 0 1.290 * [backup-simplify]: Simplify (- 0) into 0 1.290 * [backup-simplify]: Simplify (+ (cos phi2) 0) into (cos phi2) 1.290 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) (cos phi2)) into (* (cos (- lambda1 lambda2)) (cos phi2)) 1.290 * [backup-simplify]: Simplify (* 1 (* (cos (- lambda1 lambda2)) (cos phi2))) into (* (cos (- lambda1 lambda2)) (cos phi2)) 1.290 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.290 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.290 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.290 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.290 * [backup-simplify]: Simplify lambda1 into lambda1 1.290 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.290 * [backup-simplify]: Simplify lambda2 into lambda2 1.290 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.291 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.291 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.291 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.291 * [taylor]: Taking taylor expansion of (cos phi2) in phi2 1.291 * [taylor]: Taking taylor expansion of phi2 in phi2 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.291 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.291 * [backup-simplify]: Simplify (- 0) into 0 1.291 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.291 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.291 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.291 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.291 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.291 * [backup-simplify]: Simplify 0 into 0 1.291 * [backup-simplify]: Simplify 1 into 1 1.291 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.291 * [backup-simplify]: Simplify lambda2 into lambda2 1.291 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.291 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.291 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.291 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.291 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.291 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.292 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.292 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.292 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.292 * [backup-simplify]: Simplify 0 into 0 1.292 * [backup-simplify]: Simplify 1 into 1 1.292 * [backup-simplify]: Simplify (- 0) into 0 1.292 * [backup-simplify]: Simplify (- 1) into -1 1.292 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (+ 0) into 0 1.293 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 1)) into 0 1.293 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.294 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 0)) into 0 1.294 * [backup-simplify]: Simplify (- 0) into 0 1.294 * [backup-simplify]: Simplify (+ 0 0) into 0 1.294 * [backup-simplify]: Simplify (+ 0) into 0 1.295 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.295 * [backup-simplify]: Simplify (- 0) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.296 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 1.296 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ 0 0) into 0 1.296 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 (cos phi2))) into 0 1.297 * [backup-simplify]: Simplify (+ 0) into 0 1.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* (cos (- lambda1 lambda2)) (cos phi2)))) into 0 1.297 * [taylor]: Taking taylor expansion of 0 in phi2 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [taylor]: Taking taylor expansion of 0 in lambda1 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [taylor]: Taking taylor expansion of 0 in lambda2 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify 0 into 0 1.297 * [backup-simplify]: Simplify (+ 0) into 0 1.298 * [backup-simplify]: Simplify (+ 0) into 0 1.298 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.298 * [backup-simplify]: Simplify (- 0) into 0 1.298 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.299 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (* 0 0)) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.300 * [backup-simplify]: Simplify (+ 0 0) into 0 1.300 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (* 0 1)) into 0 1.300 * [taylor]: Taking taylor expansion of 0 in lambda1 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [taylor]: Taking taylor expansion of 0 in lambda2 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify 0 into 0 1.300 * [backup-simplify]: Simplify (+ 0) into 0 1.301 * [backup-simplify]: Simplify (+ (* (cos (- lambda2)) 0) (* 0 1)) into 0 1.301 * [backup-simplify]: Simplify (- 0) into 0 1.301 * [backup-simplify]: Simplify (+ 1 0) into 1 1.302 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 1.302 * [backup-simplify]: Simplify (+ (* (sin (- lambda2)) 1) (* 0 0)) into (sin (- lambda2)) 1.302 * [backup-simplify]: Simplify (- (sin (- lambda2))) into (- (sin (- lambda2))) 1.302 * [backup-simplify]: Simplify (+ 0 (- (sin (- lambda2)))) into (- (sin (- lambda2))) 1.302 * [taylor]: Taking taylor expansion of (- (sin (- lambda2))) in lambda2 1.302 * [taylor]: Taking taylor expansion of (sin (- lambda2)) in lambda2 1.302 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.302 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify (- 1) into -1 1.303 * [backup-simplify]: Simplify (- 0) into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify (+ 0) into 0 1.303 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.304 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 1))) into 0 1.304 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.305 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 0))) into 0 1.305 * [backup-simplify]: Simplify (- 0) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.306 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.306 * [backup-simplify]: Simplify (- 0) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.307 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.308 * [backup-simplify]: Simplify (- 0) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 (cos phi2)))) into 0 1.309 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* -1/2 (* (cos (- lambda1 lambda2)) (cos phi2))))) into (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) 1.310 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2)))) in phi2 1.310 * [taylor]: Taking taylor expansion of (* 1/2 (* (cos (- lambda1 lambda2)) (cos phi2))) in phi2 1.310 * [taylor]: Taking taylor expansion of 1/2 in phi2 1.310 * [backup-simplify]: Simplify 1/2 into 1/2 1.310 * [taylor]: Taking taylor expansion of (* (cos (- lambda1 lambda2)) (cos phi2)) in phi2 1.310 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in phi2 1.310 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in phi2 1.310 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.310 * [backup-simplify]: Simplify lambda1 into lambda1 1.310 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.310 * [backup-simplify]: Simplify lambda2 into lambda2 1.310 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.310 * [backup-simplify]: Simplify (+ lambda1 (- lambda2)) into (- lambda1 lambda2) 1.310 * [backup-simplify]: Simplify (cos (- lambda1 lambda2)) into (cos (- lambda1 lambda2)) 1.310 * [backup-simplify]: Simplify (sin (- lambda1 lambda2)) into (sin (- lambda1 lambda2)) 1.310 * [taylor]: Taking taylor expansion of (cos 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 (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.310 * [backup-simplify]: Simplify (* (sin (- lambda1 lambda2)) 0) into 0 1.310 * [backup-simplify]: Simplify (- 0) into 0 1.310 * [backup-simplify]: Simplify (+ (cos (- lambda1 lambda2)) 0) into (cos (- lambda1 lambda2)) 1.310 * [backup-simplify]: Simplify (* (cos (- lambda1 lambda2)) 1) into (cos (- lambda1 lambda2)) 1.310 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda1 lambda2))) into (* 1/2 (cos (- lambda1 lambda2))) 1.310 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda1 lambda2)))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 1.311 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 1.311 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 1.311 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.311 * [backup-simplify]: Simplify 1/2 into 1/2 1.311 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.311 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.311 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.311 * [backup-simplify]: Simplify lambda2 into lambda2 1.311 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.311 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.311 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.311 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.311 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.311 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.311 * [backup-simplify]: Simplify (- 0) into 0 1.311 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.311 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 1.311 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 1.311 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.311 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.311 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.311 * [backup-simplify]: Simplify 1/2 into 1/2 1.311 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.311 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.311 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (- 0) into 0 1.312 * [backup-simplify]: Simplify (- 1) into -1 1.312 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.312 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.312 * [backup-simplify]: Simplify -1/2 into -1/2 1.312 * [taylor]: Taking taylor expansion of 0 in lambda1 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [taylor]: Taking taylor expansion of 0 in lambda2 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into -1/2 1.314 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.317 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.317 * [backup-simplify]: Simplify (- 0) into 0 1.318 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.319 * [backup-simplify]: Simplify (+ (* (sin (- lambda1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.319 * [backup-simplify]: Simplify (- 0) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* (cos (- lambda1 lambda2)) -1/2) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (cos (- lambda1 lambda2)))) 1.320 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda1 lambda2)))) in lambda1 1.320 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda1 lambda2))) in lambda1 1.320 * [taylor]: Taking taylor expansion of 1/2 in lambda1 1.320 * [backup-simplify]: Simplify 1/2 into 1/2 1.320 * [taylor]: Taking taylor expansion of (cos (- lambda1 lambda2)) in lambda1 1.320 * [taylor]: Taking taylor expansion of (- lambda1 lambda2) in lambda1 1.320 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 1 into 1 1.320 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.320 * [backup-simplify]: Simplify lambda2 into lambda2 1.320 * [backup-simplify]: Simplify (- lambda2) into (- lambda2) 1.320 * [backup-simplify]: Simplify (+ 0 (- lambda2)) into (- lambda2) 1.320 * [backup-simplify]: Simplify (cos (- lambda2)) into (cos (- lambda2)) 1.320 * [backup-simplify]: Simplify (sin (- lambda2)) into (sin (- lambda2)) 1.320 * [backup-simplify]: Simplify (* (cos (- lambda2)) 1) into (cos (- lambda2)) 1.320 * [backup-simplify]: Simplify (* (sin (- lambda2)) 0) into 0 1.320 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (+ (cos (- lambda2)) 0) into (cos (- lambda2)) 1.321 * [backup-simplify]: Simplify (* 1/2 (cos (- lambda2))) into (* 1/2 (cos (- lambda2))) 1.321 * [backup-simplify]: Simplify (- (* 1/2 (cos (- lambda2)))) into (- (* 1/2 (cos (- lambda2)))) 1.321 * [taylor]: Taking taylor expansion of (- (* 1/2 (cos (- lambda2)))) in lambda2 1.321 * [taylor]: Taking taylor expansion of (* 1/2 (cos (- lambda2))) in lambda2 1.321 * [taylor]: Taking taylor expansion of 1/2 in lambda2 1.321 * [backup-simplify]: Simplify 1/2 into 1/2 1.321 * [taylor]: Taking taylor expansion of (cos (- lambda2)) in lambda2 1.321 * [taylor]: Taking taylor expansion of (- lambda2) in lambda2 1.321 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (- 0) into 0 1.321 * [backup-simplify]: Simplify (- 1) into -1 1.322 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.322 * [backup-simplify]: Simplify (- 1/2) into -1/2 1.322 * [backup-simplify]: Simplify -1/2 into -1/2 1.322 * [backup-simplify]: Simplify (+ (* -1/2 (pow (* 1 (* 1 (* phi2 1))) 2)) (+ (* -1/2 (pow (* 1 (* 1 (* 1 phi1))) 2)) 1)) into (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))) 1.322 * [backup-simplify]: Simplify (* (* (cos (/ 1 phi1)) (cos (/ 1 phi2))) (cos (- (/ 1 lambda1) (/ 1 lambda2)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.322 * [approximate]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in (phi1 phi2 lambda1 lambda2) around 0 1.322 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2 1.322 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.322 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.322 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.322 * [backup-simplify]: Simplify phi2 into phi2 1.322 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.322 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.322 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.322 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2 1.322 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.322 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.322 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.323 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.323 * [backup-simplify]: Simplify lambda1 into lambda1 1.323 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.323 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.323 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (/ 1 1) into 1 1.323 * [backup-simplify]: Simplify (- 1) into -1 1.323 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.323 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.324 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.324 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.324 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.324 * [backup-simplify]: Simplify phi1 into phi1 1.324 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.324 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.324 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.324 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1 1.324 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.324 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.324 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.324 * [backup-simplify]: Simplify phi2 into phi2 1.324 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.324 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.324 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.324 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1 1.324 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.324 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.324 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.324 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [backup-simplify]: Simplify (/ 1 1) into 1 1.324 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.324 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.324 * [backup-simplify]: Simplify lambda2 into lambda2 1.324 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.325 * [backup-simplify]: Simplify (+ 1 0) into 1 1.325 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.325 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.325 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.325 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.325 * [backup-simplify]: Simplify phi1 into phi1 1.325 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.325 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.325 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.325 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2 1.325 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.325 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.325 * [taylor]: Taking taylor expansion of phi2 in phi2 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (/ 1 1) into 1 1.325 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.325 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2 1.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 1.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.326 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.326 * [backup-simplify]: Simplify lambda1 into lambda1 1.326 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.326 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.326 * [backup-simplify]: Simplify lambda2 into lambda2 1.326 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.326 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.326 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.326 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.326 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.326 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.326 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.326 * [taylor]: Taking taylor expansion of phi1 in phi2 1.326 * [backup-simplify]: Simplify phi1 into phi1 1.326 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.326 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.326 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.326 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1 1.326 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.326 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.326 * [taylor]: Taking taylor expansion of phi2 in phi1 1.326 * [backup-simplify]: Simplify phi2 into phi2 1.326 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.326 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.326 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.326 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1 1.326 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 1.326 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.326 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.326 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.326 * [backup-simplify]: Simplify lambda1 into lambda1 1.326 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.326 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.326 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.326 * [backup-simplify]: Simplify lambda2 into lambda2 1.327 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.327 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.327 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.327 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.327 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.327 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.327 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.327 * [taylor]: Taking taylor expansion of phi1 in phi1 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.327 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi1 1.327 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi1 1.327 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 1.327 * [taylor]: Taking taylor expansion of phi2 in phi1 1.327 * [backup-simplify]: Simplify phi2 into phi2 1.327 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.327 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.327 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.327 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi1 1.327 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi1 1.327 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi1 1.327 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.327 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.327 * [backup-simplify]: Simplify lambda1 into lambda1 1.327 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.328 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.328 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.328 * [backup-simplify]: Simplify lambda2 into lambda2 1.328 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.328 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.328 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.328 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.328 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.328 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi1 1.328 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 1.328 * [taylor]: Taking taylor expansion of phi1 in phi1 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.328 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.328 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.329 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.329 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 1.329 * [backup-simplify]: Simplify (- 0) into 0 1.329 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.329 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.329 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.329 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in phi2 1.329 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in phi2 1.329 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 1.329 * [taylor]: Taking taylor expansion of phi2 in phi2 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 (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.330 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in phi2 1.330 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in phi2 1.330 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in phi2 1.330 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.330 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.330 * [backup-simplify]: Simplify lambda1 into lambda1 1.330 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.330 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.330 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.330 * [backup-simplify]: Simplify lambda2 into lambda2 1.330 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.330 * [backup-simplify]: Simplify (- (/ 1 lambda2)) into (- (/ 1 lambda2)) 1.330 * [backup-simplify]: Simplify (+ (/ 1 lambda1) (- (/ 1 lambda2))) into (- (/ 1 lambda1) (/ 1 lambda2)) 1.330 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.330 * [backup-simplify]: Simplify (sin (- (/ 1 lambda1) (/ 1 lambda2))) into (sin (- (/ 1 lambda1) (/ 1 lambda2))) 1.330 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in phi2 1.330 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 1.330 * [taylor]: Taking taylor expansion of phi1 in phi2 1.330 * [backup-simplify]: Simplify phi1 into phi1 1.330 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.331 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.331 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.331 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.331 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) into 0 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.331 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.331 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.331 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.332 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.332 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.332 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda1 1.332 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda1 1.332 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda1 1.332 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.332 * [backup-simplify]: Simplify phi2 into phi2 1.332 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.332 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.332 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.332 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda1 1.332 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda1 1.332 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda1 1.332 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.332 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify (/ 1 1) into 1 1.332 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.332 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.332 * [backup-simplify]: Simplify lambda2 into lambda2 1.332 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.333 * [backup-simplify]: Simplify (+ 1 0) into 1 1.333 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.333 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda1 1.333 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda1 1.333 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.333 * [backup-simplify]: Simplify phi1 into phi1 1.333 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.333 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.333 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.333 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.333 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.334 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.334 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.334 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.334 * [backup-simplify]: Simplify (- 0) into 0 1.335 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.335 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.335 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.335 * [taylor]: Taking taylor expansion of (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) in lambda2 1.335 * [taylor]: Taking taylor expansion of (cos (/ 1 phi2)) in lambda2 1.335 * [taylor]: Taking taylor expansion of (/ 1 phi2) in lambda2 1.335 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.335 * [backup-simplify]: Simplify phi2 into phi2 1.335 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 1.335 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 1.335 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 1.335 * [taylor]: Taking taylor expansion of (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) in lambda2 1.335 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda1) (/ 1 lambda2))) in lambda2 1.335 * [taylor]: Taking taylor expansion of (- (/ 1 lambda1) (/ 1 lambda2)) in lambda2 1.335 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.335 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.335 * [backup-simplify]: Simplify lambda1 into lambda1 1.336 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.336 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.336 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [backup-simplify]: Simplify (- 1) into -1 1.337 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.337 * [backup-simplify]: Simplify (cos (- (/ 1 lambda1) (/ 1 lambda2))) into (cos (- (/ 1 lambda1) (/ 1 lambda2))) 1.337 * [taylor]: Taking taylor expansion of (cos (/ 1 phi1)) in lambda2 1.337 * [taylor]: Taking taylor expansion of (/ 1 phi1) in lambda2 1.337 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.337 * [backup-simplify]: Simplify phi1 into phi1 1.337 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 1.337 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 1.337 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 1.337 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 1) into (cos (/ 1 phi2)) 1.337 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 0) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.338 * [backup-simplify]: Simplify (+ (cos (/ 1 phi2)) 0) into (cos (/ 1 phi2)) 1.338 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 1) into (cos (/ 1 phi1)) 1.338 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 0) into 0 1.338 * [backup-simplify]: Simplify (- 0) into 0 1.339 * [backup-simplify]: Simplify (+ (cos (/ 1 phi1)) 0) into (cos (/ 1 phi1)) 1.339 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) into (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))) 1.339 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.339 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) into (* (cos (/ 1 phi2)) (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))) 1.340 * [backup-simplify]: Simplify (+ 0) into 0 1.340 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.341 * [backup-simplify]: Simplify (- 0) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.343 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 1.343 * [backup-simplify]: Simplify (- 0) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.344 * [backup-simplify]: Simplify (+ 0) into 0 1.344 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.346 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.346 * [backup-simplify]: Simplify (- 0) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in phi2 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in lambda1 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [taylor]: Taking taylor expansion of 0 in lambda2 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (+ 0) into 0 1.348 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.349 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.349 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.349 * [backup-simplify]: Simplify (- 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [backup-simplify]: Simplify (+ 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.351 * [backup-simplify]: Simplify (- 0) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.353 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 0)) into 0 1.353 * [backup-simplify]: Simplify (- 0) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.354 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.354 * [taylor]: Taking taylor expansion of 0 in lambda1 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [taylor]: Taking taylor expansion of 0 in lambda2 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify (+ 0) into 0 1.355 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.357 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.357 * [backup-simplify]: Simplify (- 0) into 0 1.358 * [backup-simplify]: Simplify (+ 0 0) into 0 1.358 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.358 * [backup-simplify]: Simplify (+ 0) into 0 1.359 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.360 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.361 * [backup-simplify]: Simplify (- 0) into 0 1.361 * [backup-simplify]: Simplify (+ 0 0) into 0 1.361 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.361 * [taylor]: Taking taylor expansion of 0 in lambda2 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify (+ 0) into 0 1.362 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 1)) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.364 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 0)) into 0 1.364 * [backup-simplify]: Simplify (- 0) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.365 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (* 0 (cos (/ 1 phi1)))) into 0 1.365 * [backup-simplify]: Simplify (+ 0) into 0 1.365 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 1.366 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.367 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 0)) into 0 1.367 * [backup-simplify]: Simplify (- 0) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1))))) into 0 1.368 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.369 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 1))) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.369 * [backup-simplify]: Simplify (- 0) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.371 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 0))) into 0 1.371 * [backup-simplify]: Simplify (- 0) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) 0) (+ (* 0 0) (* 0 (cos (/ 1 phi1))))) into 0 1.372 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.373 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.373 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.374 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.374 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (* (cos (- (/ 1 lambda1) (/ 1 lambda2))) (cos (/ 1 phi1)))))) into 0 1.374 * [taylor]: Taking taylor expansion of 0 in phi2 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [taylor]: Taking taylor expansion of 0 in lambda1 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [taylor]: Taking taylor expansion of 0 in lambda2 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in lambda1 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [taylor]: Taking taylor expansion of 0 in lambda2 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify (* (cos (/ 1 (/ 1 phi2))) (* (cos (- (/ 1 (/ 1 lambda1)) (/ 1 (/ 1 lambda2)))) (cos (/ 1 (/ 1 phi1))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.375 * [backup-simplify]: Simplify (* (* (cos (/ 1 (- phi1))) (cos (/ 1 (- phi2)))) (cos (- (/ 1 (- lambda1)) (/ 1 (- lambda2))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.375 * [approximate]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in (phi1 phi2 lambda1 lambda2) around 0 1.375 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.375 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.375 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.375 * [taylor]: Taking taylor expansion of -1 in lambda2 1.375 * [backup-simplify]: Simplify -1 into -1 1.375 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.375 * [backup-simplify]: Simplify phi1 into phi1 1.375 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.375 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.375 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.375 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.375 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.375 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.375 * [taylor]: Taking taylor expansion of -1 in lambda2 1.375 * [backup-simplify]: Simplify -1 into -1 1.375 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.375 * [backup-simplify]: Simplify phi2 into phi2 1.375 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.375 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.375 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.375 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.375 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.376 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.376 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.376 * [backup-simplify]: Simplify (/ 1 1) into 1 1.376 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.376 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.376 * [backup-simplify]: Simplify lambda1 into lambda1 1.376 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.376 * [backup-simplify]: Simplify (+ 1 0) into 1 1.376 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.376 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.376 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.376 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.376 * [taylor]: Taking taylor expansion of -1 in lambda1 1.376 * [backup-simplify]: Simplify -1 into -1 1.376 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.376 * [backup-simplify]: Simplify phi1 into phi1 1.376 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.376 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.376 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.377 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.377 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.377 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.377 * [taylor]: Taking taylor expansion of -1 in lambda1 1.377 * [backup-simplify]: Simplify -1 into -1 1.377 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.377 * [backup-simplify]: Simplify phi2 into phi2 1.377 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.377 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.377 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.377 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.377 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.377 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.377 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.377 * [backup-simplify]: Simplify lambda2 into lambda2 1.377 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.377 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.377 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (- 1) into -1 1.378 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.378 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.378 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.378 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.378 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.378 * [taylor]: Taking taylor expansion of -1 in phi2 1.378 * [backup-simplify]: Simplify -1 into -1 1.378 * [taylor]: Taking taylor expansion of phi1 in phi2 1.378 * [backup-simplify]: Simplify phi1 into phi1 1.378 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.378 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.378 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.378 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 1.378 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.378 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.378 * [taylor]: Taking taylor expansion of -1 in phi2 1.378 * [backup-simplify]: Simplify -1 into -1 1.378 * [taylor]: Taking taylor expansion of phi2 in phi2 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [backup-simplify]: Simplify (/ -1 1) into -1 1.378 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.378 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 1.378 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.378 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.379 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.379 * [backup-simplify]: Simplify lambda2 into lambda2 1.379 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.379 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.379 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.379 * [backup-simplify]: Simplify lambda1 into lambda1 1.379 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.379 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.379 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.379 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.379 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.379 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 1.379 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.379 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.379 * [taylor]: Taking taylor expansion of -1 in phi1 1.379 * [backup-simplify]: Simplify -1 into -1 1.379 * [taylor]: Taking taylor expansion of phi1 in phi1 1.379 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (/ -1 1) into -1 1.379 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.379 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 1.379 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.379 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.379 * [taylor]: Taking taylor expansion of -1 in phi1 1.379 * [backup-simplify]: Simplify -1 into -1 1.379 * [taylor]: Taking taylor expansion of phi2 in phi1 1.379 * [backup-simplify]: Simplify phi2 into phi2 1.379 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.380 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.380 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.380 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 1.380 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.380 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.380 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.380 * [backup-simplify]: Simplify lambda2 into lambda2 1.380 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.380 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.380 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.380 * [backup-simplify]: Simplify lambda1 into lambda1 1.380 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.380 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.380 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.380 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.380 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.380 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi1 1.380 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi1 1.380 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 1.380 * [taylor]: Taking taylor expansion of -1 in phi1 1.380 * [backup-simplify]: Simplify -1 into -1 1.380 * [taylor]: Taking taylor expansion of phi1 in phi1 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (/ -1 1) into -1 1.381 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.381 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi1 1.381 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi1 1.381 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 1.381 * [taylor]: Taking taylor expansion of -1 in phi1 1.381 * [backup-simplify]: Simplify -1 into -1 1.381 * [taylor]: Taking taylor expansion of phi2 in phi1 1.381 * [backup-simplify]: Simplify phi2 into phi2 1.381 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.381 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.381 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.381 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi1 1.381 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi1 1.381 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi1 1.381 * [taylor]: Taking taylor expansion of lambda2 in phi1 1.381 * [backup-simplify]: Simplify lambda2 into lambda2 1.381 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.381 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi1 1.381 * [taylor]: Taking taylor expansion of lambda1 in phi1 1.381 * [backup-simplify]: Simplify lambda1 into lambda1 1.381 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.381 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.381 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.381 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.381 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.382 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.382 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.382 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.382 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.382 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 1.382 * [backup-simplify]: Simplify (- 0) into 0 1.382 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.383 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.383 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.383 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in phi2 1.383 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in phi2 1.383 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 1.383 * [taylor]: Taking taylor expansion of -1 in phi2 1.383 * [backup-simplify]: Simplify -1 into -1 1.383 * [taylor]: Taking taylor expansion of phi1 in phi2 1.383 * [backup-simplify]: Simplify phi1 into phi1 1.383 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.383 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.383 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.383 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in phi2 1.383 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in phi2 1.383 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 1.383 * [taylor]: Taking taylor expansion of -1 in phi2 1.383 * [backup-simplify]: Simplify -1 into -1 1.383 * [taylor]: Taking taylor expansion of phi2 in phi2 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (/ -1 1) into -1 1.383 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.383 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in phi2 1.383 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in phi2 1.383 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in phi2 1.383 * [taylor]: Taking taylor expansion of lambda2 in phi2 1.384 * [backup-simplify]: Simplify lambda2 into lambda2 1.384 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.384 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in phi2 1.384 * [taylor]: Taking taylor expansion of lambda1 in phi2 1.384 * [backup-simplify]: Simplify lambda1 into lambda1 1.384 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.384 * [backup-simplify]: Simplify (- (/ 1 lambda1)) into (- (/ 1 lambda1)) 1.384 * [backup-simplify]: Simplify (+ (/ 1 lambda2) (- (/ 1 lambda1))) into (- (/ 1 lambda2) (/ 1 lambda1)) 1.384 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.384 * [backup-simplify]: Simplify (sin (- (/ 1 lambda2) (/ 1 lambda1))) into (sin (- (/ 1 lambda2) (/ 1 lambda1))) 1.384 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.384 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.384 * [backup-simplify]: Simplify (- 0) into 0 1.384 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.384 * [backup-simplify]: Simplify (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.384 * [backup-simplify]: Simplify (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) into 0 1.385 * [backup-simplify]: Simplify (- 0) into 0 1.385 * [backup-simplify]: Simplify (+ (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.385 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.385 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.385 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda1 1.385 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda1 1.385 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda1 1.385 * [taylor]: Taking taylor expansion of -1 in lambda1 1.385 * [backup-simplify]: Simplify -1 into -1 1.385 * [taylor]: Taking taylor expansion of phi1 in lambda1 1.385 * [backup-simplify]: Simplify phi1 into phi1 1.385 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.385 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.385 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.385 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda1 1.385 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda1 1.385 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda1 1.385 * [taylor]: Taking taylor expansion of -1 in lambda1 1.385 * [backup-simplify]: Simplify -1 into -1 1.385 * [taylor]: Taking taylor expansion of phi2 in lambda1 1.385 * [backup-simplify]: Simplify phi2 into phi2 1.385 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.385 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.385 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.385 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda1 1.386 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda1 1.386 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 1.386 * [taylor]: Taking taylor expansion of lambda2 in lambda1 1.386 * [backup-simplify]: Simplify lambda2 into lambda2 1.386 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 1.386 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 1.386 * [taylor]: Taking taylor expansion of lambda1 in lambda1 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [backup-simplify]: Simplify (/ 1 1) into 1 1.386 * [backup-simplify]: Simplify (- 1) into -1 1.386 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.386 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.387 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.387 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.387 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.387 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.387 * [backup-simplify]: Simplify (- 0) into 0 1.387 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.387 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.388 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.388 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) in lambda2 1.388 * [taylor]: Taking taylor expansion of (cos (/ -1 phi1)) in lambda2 1.388 * [taylor]: Taking taylor expansion of (/ -1 phi1) in lambda2 1.388 * [taylor]: Taking taylor expansion of -1 in lambda2 1.388 * [backup-simplify]: Simplify -1 into -1 1.388 * [taylor]: Taking taylor expansion of phi1 in lambda2 1.388 * [backup-simplify]: Simplify phi1 into phi1 1.388 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 1.388 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 1.388 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 1.388 * [taylor]: Taking taylor expansion of (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) in lambda2 1.388 * [taylor]: Taking taylor expansion of (cos (/ -1 phi2)) in lambda2 1.388 * [taylor]: Taking taylor expansion of (/ -1 phi2) in lambda2 1.388 * [taylor]: Taking taylor expansion of -1 in lambda2 1.388 * [backup-simplify]: Simplify -1 into -1 1.388 * [taylor]: Taking taylor expansion of phi2 in lambda2 1.388 * [backup-simplify]: Simplify phi2 into phi2 1.388 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 1.388 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 1.388 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 1.388 * [taylor]: Taking taylor expansion of (cos (- (/ 1 lambda2) (/ 1 lambda1))) in lambda2 1.388 * [taylor]: Taking taylor expansion of (- (/ 1 lambda2) (/ 1 lambda1)) in lambda2 1.388 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 1.388 * [taylor]: Taking taylor expansion of lambda2 in lambda2 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 1.388 * [taylor]: Taking taylor expansion of lambda1 in lambda2 1.388 * [backup-simplify]: Simplify lambda1 into lambda1 1.388 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 1.389 * [backup-simplify]: Simplify (+ 1 0) into 1 1.389 * [backup-simplify]: Simplify (cos (- (/ 1 lambda2) (/ 1 lambda1))) into (cos (- (/ 1 lambda2) (/ 1 lambda1))) 1.389 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 1) into (cos (/ -1 phi1)) 1.389 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 0) into 0 1.389 * [backup-simplify]: Simplify (- 0) into 0 1.389 * [backup-simplify]: Simplify (+ (cos (/ -1 phi1)) 0) into (cos (/ -1 phi1)) 1.389 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 1) into (cos (/ -1 phi2)) 1.389 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 0) into 0 1.390 * [backup-simplify]: Simplify (- 0) into 0 1.390 * [backup-simplify]: Simplify (+ (cos (/ -1 phi2)) 0) into (cos (/ -1 phi2)) 1.390 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) into (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))) 1.390 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.390 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into (* (cos (/ -1 phi1)) (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))) 1.390 * [backup-simplify]: Simplify (+ 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.392 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 1.392 * [backup-simplify]: Simplify (- 0) into 0 1.392 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (+ 0) into 0 1.393 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.394 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.394 * [backup-simplify]: Simplify (- 0) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.394 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.395 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.395 * [taylor]: Taking taylor expansion of 0 in phi2 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [taylor]: Taking taylor expansion of 0 in lambda1 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [taylor]: Taking taylor expansion of 0 in lambda2 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (+ 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 1)) into 0 1.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 1.396 * [backup-simplify]: Simplify (- 0) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.397 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (* 0 0)) into 0 1.397 * [backup-simplify]: Simplify (- 0) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.398 * [backup-simplify]: Simplify (+ 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.400 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.400 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.400 * [backup-simplify]: Simplify (- 0) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.401 * [taylor]: Taking taylor expansion of 0 in lambda1 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [taylor]: Taking taylor expansion of 0 in lambda2 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify (+ 0) into 0 1.402 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.403 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.404 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.404 * [backup-simplify]: Simplify (- 0) into 0 1.404 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.405 * [backup-simplify]: Simplify (+ 0) into 0 1.405 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.405 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.407 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.407 * [backup-simplify]: Simplify (- 0) into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.408 * [taylor]: Taking taylor expansion of 0 in lambda2 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (+ 0) into 0 1.409 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.410 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 0)) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1))))) into 0 1.411 * [backup-simplify]: Simplify (+ 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 1.413 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 0)) into 0 1.414 * [backup-simplify]: Simplify (- 0) into 0 1.414 * [backup-simplify]: Simplify (+ 0 0) into 0 1.414 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* (cos (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 1))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 1.417 * [backup-simplify]: Simplify (- 0) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.418 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.418 * [backup-simplify]: Simplify (+ (* (sin (- (/ 1 lambda2) (/ 1 lambda1))) 0) (+ (* 0 0) (* 0 0))) into 0 1.419 * [backup-simplify]: Simplify (- 0) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 1.421 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 1.421 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 1.423 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 1.423 * [backup-simplify]: Simplify (- 0) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 (cos (- (/ 1 lambda2) (/ 1 lambda1)))))) into 0 1.425 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (* (cos (/ -1 phi2)) (cos (- (/ 1 lambda2) (/ 1 lambda1))))))) into 0 1.425 * [taylor]: Taking taylor expansion of 0 in phi2 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [taylor]: Taking taylor expansion of 0 in lambda1 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [taylor]: Taking taylor expansion of 0 in lambda2 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [taylor]: Taking taylor expansion of 0 in lambda1 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [taylor]: Taking taylor expansion of 0 in lambda2 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (* (cos (/ -1 (/ 1 (- phi1)))) (* (cos (/ -1 (/ 1 (- phi2)))) (cos (- (/ 1 (/ 1 (- lambda2))) (/ 1 (/ 1 (- lambda1))))))) into (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 1.426 * * * [progress]: simplifying candidates 1.426 * * * * [progress]: [ 1 / 73 ] simplifiying candidate # 1.426 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.426 * * [simplify]: iters left: 5 (6 enodes) 1.429 * * [simplify]: iters left: 4 (20 enodes) 1.434 * * [simplify]: Extracting #0: cost 1 inf + 0 1.434 * * [simplify]: Extracting #1: cost 4 inf + 0 1.434 * * [simplify]: Extracting #2: cost 9 inf + 0 1.434 * * [simplify]: Extracting #3: cost 5 inf + 165 1.434 * * [simplify]: Extracting #4: cost 0 inf + 652 1.435 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.435 * [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)) 1.435 * * * * [progress]: [ 2 / 73 ] simplifiying candidate # 1.435 * [simplify]: Simplifying (* (cos lambda1) (cos (- lambda2))) 1.435 * * [simplify]: iters left: 5 (6 enodes) 1.437 * * [simplify]: iters left: 4 (20 enodes) 1.440 * * [simplify]: Extracting #0: cost 1 inf + 0 1.440 * * [simplify]: Extracting #1: cost 4 inf + 0 1.440 * * [simplify]: Extracting #2: cost 9 inf + 0 1.440 * * [simplify]: Extracting #3: cost 5 inf + 165 1.440 * * [simplify]: Extracting #4: cost 0 inf + 652 1.440 * [simplify]: Simplified to (* (cos lambda1) (cos lambda2)) 1.440 * [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)) 1.440 * * * * [progress]: [ 3 / 73 ] simplifiying candidate # 1.440 * [simplify]: Simplifying (* (cos lambda1) (cos lambda2)) 1.440 * * [simplify]: iters left: 3 (5 enodes) 1.441 * * [simplify]: iters left: 2 (16 enodes) 1.443 * * [simplify]: Extracting #0: cost 1 inf + 0 1.443 * * [simplify]: Extracting #1: cost 4 inf + 0 1.443 * * [simplify]: Extracting #2: cost 8 inf + 0 1.443 * * [simplify]: Extracting #3: cost 4 inf + 124 1.444 * * [simplify]: Extracting #4: cost 0 inf + 570 1.444 * [simplify]: Simplified to (* (cos lambda2) (cos lambda1)) 1.444 * [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)) 1.444 * * * * [progress]: [ 4 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 5 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 6 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 7 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 8 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 9 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 10 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 11 / 73 ] simplifiying candidate #real (real->posit16 (cos (- lambda1 lambda2))))))) R))> 1.444 * * * * [progress]: [ 12 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 13 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 14 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 15 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 16 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 17 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 18 / 73 ] simplifiying candidate # 1.444 * * * * [progress]: [ 19 / 73 ] simplifiying candidate # 1.445 * * * * [progress]: [ 20 / 73 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 1.445 * * * * [progress]: [ 21 / 73 ] simplifiying candidate # 1.445 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) 1.445 * * [simplify]: iters left: 6 (17 enodes) 1.450 * * [simplify]: iters left: 5 (60 enodes) 1.458 * * [simplify]: iters left: 4 (71 enodes) 1.472 * * [simplify]: iters left: 3 (76 enodes) 1.486 * * [simplify]: Extracting #0: cost 1 inf + 0 1.486 * * [simplify]: Extracting #1: cost 4 inf + 0 1.486 * * [simplify]: Extracting #2: cost 5 inf + 1 1.486 * * [simplify]: Extracting #3: cost 8 inf + 1 1.486 * * [simplify]: Extracting #4: cost 18 inf + 1 1.486 * * [simplify]: Extracting #5: cost 29 inf + 1 1.486 * * [simplify]: Extracting #6: cost 25 inf + 369 1.486 * * [simplify]: Extracting #7: cost 19 inf + 979 1.487 * * [simplify]: Extracting #8: cost 9 inf + 2522 1.487 * * [simplify]: Extracting #9: cost 0 inf + 6397 1.488 * [simplify]: Simplified to (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1.488 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 1)) 1.488 * * * * [progress]: [ 22 / 73 ] simplifiying candidate # 1.488 * * * * [progress]: [ 23 / 73 ] simplifiying candidate # 1.489 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (log R)) 1.489 * * [simplify]: iters left: 6 (19 enodes) 1.492 * * [simplify]: iters left: 5 (66 enodes) 1.501 * * [simplify]: iters left: 4 (77 enodes) 1.511 * * [simplify]: iters left: 3 (82 enodes) 1.530 * * [simplify]: Extracting #0: cost 1 inf + 0 1.530 * * [simplify]: Extracting #1: cost 4 inf + 0 1.531 * * [simplify]: Extracting #2: cost 8 inf + 0 1.531 * * [simplify]: Extracting #3: cost 9 inf + 1 1.531 * * [simplify]: Extracting #4: cost 10 inf + 143 1.531 * * [simplify]: Extracting #5: cost 20 inf + 143 1.531 * * [simplify]: Extracting #6: cost 31 inf + 143 1.532 * * [simplify]: Extracting #7: cost 26 inf + 572 1.532 * * [simplify]: Extracting #8: cost 22 inf + 959 1.533 * * [simplify]: Extracting #9: cost 12 inf + 2825 1.534 * * [simplify]: Extracting #10: cost 3 inf + 5933 1.536 * * [simplify]: Extracting #11: cost 0 inf + 8147 1.539 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 1.539 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))))) 1.539 * * * * [progress]: [ 24 / 73 ] simplifiying candidate # 1.539 * * * * [progress]: [ 25 / 73 ] simplifiying candidate # 1.539 * * * * [progress]: [ 26 / 73 ] simplifiying candidate # 1.540 * [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)) 1.540 * * [simplify]: iters left: 6 (21 enodes) 1.550 * * [simplify]: iters left: 5 (78 enodes) 1.573 * * [simplify]: iters left: 4 (118 enodes) 1.614 * * [simplify]: iters left: 3 (178 enodes) 1.676 * * [simplify]: iters left: 2 (254 enodes) 1.780 * * [simplify]: iters left: 1 (411 enodes) 1.963 * * [simplify]: Extracting #0: cost 1 inf + 0 1.963 * * [simplify]: Extracting #1: cost 48 inf + 0 1.964 * * [simplify]: Extracting #2: cost 145 inf + 2 1.965 * * [simplify]: Extracting #3: cost 149 inf + 934 1.966 * * [simplify]: Extracting #4: cost 155 inf + 2154 1.966 * * [simplify]: Extracting #5: cost 161 inf + 3374 1.967 * * [simplify]: Extracting #6: cost 154 inf + 4379 1.971 * * [simplify]: Extracting #7: cost 121 inf + 22485 1.983 * * [simplify]: Extracting #8: cost 48 inf + 88157 2.012 * * [simplify]: Extracting #9: cost 1 inf + 137613 2.042 * * [simplify]: Extracting #10: cost 0 inf + 138710 2.065 * [simplify]: Simplified to (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))) 2.065 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))) R))))) 2.066 * * * * [progress]: [ 27 / 73 ] simplifiying candidate # 2.066 * * * * [progress]: [ 28 / 73 ] simplifiying candidate # 2.066 * * * * [progress]: [ 29 / 73 ] simplifiying candidate # 2.066 * * * * [progress]: [ 30 / 73 ] simplifiying candidate # 2.066 * * * * [progress]: [ 31 / 73 ] simplifiying candidate # 2.066 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 2.066 * * [simplify]: iters left: 6 (19 enodes) 2.071 * * [simplify]: iters left: 5 (66 enodes) 2.084 * * [simplify]: iters left: 4 (77 enodes) 2.094 * * [simplify]: iters left: 3 (82 enodes) 2.104 * * [simplify]: Extracting #0: cost 1 inf + 0 2.104 * * [simplify]: Extracting #1: cost 4 inf + 0 2.104 * * [simplify]: Extracting #2: cost 8 inf + 0 2.104 * * [simplify]: Extracting #3: cost 9 inf + 1 2.104 * * [simplify]: Extracting #4: cost 10 inf + 83 2.105 * * [simplify]: Extracting #5: cost 20 inf + 83 2.105 * * [simplify]: Extracting #6: cost 31 inf + 83 2.105 * * [simplify]: Extracting #7: cost 26 inf + 512 2.105 * * [simplify]: Extracting #8: cost 22 inf + 899 2.106 * * [simplify]: Extracting #9: cost 12 inf + 2765 2.108 * * [simplify]: Extracting #10: cost 3 inf + 5843 2.109 * * [simplify]: Extracting #11: cost 0 inf + 7907 2.111 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 2.111 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)))) 2.112 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) (sqrt R)) 2.112 * * [simplify]: iters left: 6 (19 enodes) 2.120 * * [simplify]: iters left: 5 (66 enodes) 2.133 * * [simplify]: iters left: 4 (77 enodes) 2.144 * * [simplify]: iters left: 3 (82 enodes) 2.154 * * [simplify]: Extracting #0: cost 1 inf + 0 2.154 * * [simplify]: Extracting #1: cost 4 inf + 0 2.154 * * [simplify]: Extracting #2: cost 8 inf + 0 2.154 * * [simplify]: Extracting #3: cost 9 inf + 1 2.154 * * [simplify]: Extracting #4: cost 10 inf + 83 2.154 * * [simplify]: Extracting #5: cost 20 inf + 83 2.154 * * [simplify]: Extracting #6: cost 31 inf + 83 2.154 * * [simplify]: Extracting #7: cost 26 inf + 512 2.154 * * [simplify]: Extracting #8: cost 22 inf + 899 2.155 * * [simplify]: Extracting #9: cost 12 inf + 2765 2.156 * * [simplify]: Extracting #10: cost 3 inf + 5843 2.157 * * [simplify]: Extracting #11: cost 0 inf + 7907 2.159 * [simplify]: Simplified to (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)) 2.159 * [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 (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (sqrt R)))) 2.159 * * * * [progress]: [ 32 / 73 ] simplifiying candidate # 2.159 * [simplify]: Simplifying (cbrt R) 2.159 * * [simplify]: iters left: 1 (2 enodes) 2.160 * * [simplify]: Extracting #0: cost 1 inf + 0 2.160 * * [simplify]: Extracting #1: cost 3 inf + 0 2.160 * * [simplify]: Extracting #2: cost 2 inf + 1 2.160 * * [simplify]: Extracting #3: cost 0 inf + 163 2.160 * [simplify]: Simplified to (cbrt R) 2.160 * [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))) 2.161 * * * * [progress]: [ 33 / 73 ] simplifiying candidate # 2.161 * [simplify]: Simplifying (sqrt R) 2.161 * * [simplify]: iters left: 1 (2 enodes) 2.162 * * [simplify]: Extracting #0: cost 1 inf + 0 2.162 * * [simplify]: Extracting #1: cost 3 inf + 0 2.162 * * [simplify]: Extracting #2: cost 2 inf + 1 2.162 * * [simplify]: Extracting #3: cost 0 inf + 83 2.162 * [simplify]: Simplified to (sqrt R) 2.162 * [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))) 2.162 * * * * [progress]: [ 34 / 73 ] simplifiying candidate # 2.162 * * * * [progress]: [ 35 / 73 ] simplifiying candidate # 2.162 * [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))))))) 2.163 * * [simplify]: iters left: 6 (17 enodes) 2.170 * * [simplify]: iters left: 5 (59 enodes) 2.186 * * [simplify]: iters left: 4 (70 enodes) 2.196 * * [simplify]: iters left: 3 (76 enodes) 2.206 * * [simplify]: Extracting #0: cost 1 inf + 0 2.206 * * [simplify]: Extracting #1: cost 3 inf + 0 2.206 * * [simplify]: Extracting #2: cost 5 inf + 0 2.206 * * [simplify]: Extracting #3: cost 7 inf + 0 2.206 * * [simplify]: Extracting #4: cost 10 inf + 0 2.206 * * [simplify]: Extracting #5: cost 20 inf + 0 2.206 * * [simplify]: Extracting #6: cost 31 inf + 0 2.206 * * [simplify]: Extracting #7: cost 27 inf + 368 2.206 * * [simplify]: Extracting #8: cost 21 inf + 978 2.207 * * [simplify]: Extracting #9: cost 10 inf + 2724 2.207 * * [simplify]: Extracting #10: cost 0 inf + 7902 2.208 * [simplify]: Simplified to (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) 2.208 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) 2.209 * * * * [progress]: [ 36 / 73 ] simplifiying candidate # 2.209 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) 2.209 * * [simplify]: iters left: 6 (16 enodes) 2.212 * * [simplify]: iters left: 5 (56 enodes) 2.221 * * [simplify]: iters left: 4 (67 enodes) 2.240 * * [simplify]: iters left: 3 (73 enodes) 2.258 * * [simplify]: Extracting #0: cost 1 inf + 0 2.258 * * [simplify]: Extracting #1: cost 3 inf + 0 2.258 * * [simplify]: Extracting #2: cost 5 inf + 0 2.258 * * [simplify]: Extracting #3: cost 8 inf + 0 2.259 * * [simplify]: Extracting #4: cost 18 inf + 0 2.259 * * [simplify]: Extracting #5: cost 29 inf + 0 2.259 * * [simplify]: Extracting #6: cost 26 inf + 307 2.259 * * [simplify]: Extracting #7: cost 20 inf + 816 2.260 * * [simplify]: Extracting #8: cost 8 inf + 2825 2.262 * * [simplify]: Extracting #9: cost 1 inf + 5760 2.263 * * [simplify]: Extracting #10: cost 0 inf + 6394 2.265 * [simplify]: Simplified to (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) 2.265 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))) (* (sin phi2) (sin phi1))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))))) R))) 2.265 * * * * [progress]: [ 37 / 73 ] simplifiying candidate # 2.265 * * * * [progress]: [ 38 / 73 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R))))> 2.265 * * * * [progress]: [ 39 / 73 ] simplifiying candidate # 2.266 * * * * [progress]: [ 40 / 73 ] simplifiying candidate # 2.266 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 2.266 * * [simplify]: iters left: 5 (10 enodes) 2.270 * * [simplify]: iters left: 4 (36 enodes) 2.280 * * [simplify]: iters left: 3 (47 enodes) 2.292 * * [simplify]: iters left: 2 (52 enodes) 2.298 * * [simplify]: Extracting #0: cost 1 inf + 0 2.298 * * [simplify]: Extracting #1: cost 8 inf + 0 2.298 * * [simplify]: Extracting #2: cost 17 inf + 0 2.298 * * [simplify]: Extracting #3: cost 18 inf + 63 2.298 * * [simplify]: Extracting #4: cost 14 inf + 228 2.298 * * [simplify]: Extracting #5: cost 7 inf + 900 2.299 * * [simplify]: Extracting #6: cost 0 inf + 2362 2.299 * [simplify]: Simplified to (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2.299 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 1))) R)) 2.299 * * * * [progress]: [ 41 / 73 ] simplifiying candidate # 2.300 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 2.300 * * [simplify]: iters left: 5 (10 enodes) 2.302 * * [simplify]: iters left: 4 (36 enodes) 2.306 * * [simplify]: iters left: 3 (47 enodes) 2.312 * * [simplify]: iters left: 2 (52 enodes) 2.318 * * [simplify]: Extracting #0: cost 1 inf + 0 2.318 * * [simplify]: Extracting #1: cost 8 inf + 0 2.318 * * [simplify]: Extracting #2: cost 17 inf + 0 2.318 * * [simplify]: Extracting #3: cost 18 inf + 63 2.318 * * [simplify]: Extracting #4: cost 14 inf + 228 2.319 * * [simplify]: Extracting #5: cost 7 inf + 900 2.319 * * [simplify]: Extracting #6: cost 0 inf + 2362 2.319 * [simplify]: Simplified to (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 2.319 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (pow (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) 1))) R)) 2.319 * * * * [progress]: [ 42 / 73 ] simplifiying candidate # 2.319 * * * * [progress]: [ 43 / 73 ] simplifiying candidate # 2.320 * [simplify]: Simplifying (+ (+ (log (cos phi1)) (log (cos phi2))) (log (cos (- lambda1 lambda2)))) 2.320 * * [simplify]: iters left: 6 (13 enodes) 2.322 * * [simplify]: iters left: 5 (45 enodes) 2.331 * * [simplify]: iters left: 4 (56 enodes) 2.346 * * [simplify]: iters left: 3 (61 enodes) 2.359 * * [simplify]: Extracting #0: cost 1 inf + 0 2.359 * * [simplify]: Extracting #1: cost 8 inf + 0 2.359 * * [simplify]: Extracting #2: cost 17 inf + 0 2.359 * * [simplify]: Extracting #3: cost 23 inf + 0 2.359 * * [simplify]: Extracting #4: cost 25 inf + 2 2.359 * * [simplify]: Extracting #5: cost 20 inf + 299 2.359 * * [simplify]: Extracting #6: cost 4 inf + 2947 2.360 * * [simplify]: Extracting #7: cost 0 inf + 4490 2.361 * [simplify]: Simplified to (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2)))) 2.361 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (+ (log (cos phi2)) (log (cos phi1))) (log (cos (- lambda1 lambda2))))))) R)) 2.361 * * * * [progress]: [ 44 / 73 ] simplifiying candidate # 2.361 * [simplify]: Simplifying (+ (log (* (cos phi1) (cos phi2))) (log (cos (- lambda1 lambda2)))) 2.361 * * [simplify]: iters left: 6 (12 enodes) 2.363 * * [simplify]: iters left: 5 (43 enodes) 2.369 * * [simplify]: iters left: 4 (55 enodes) 2.375 * * [simplify]: iters left: 3 (64 enodes) 2.383 * * [simplify]: Extracting #0: cost 1 inf + 0 2.383 * * [simplify]: Extracting #1: cost 8 inf + 0 2.383 * * [simplify]: Extracting #2: cost 18 inf + 0 2.383 * * [simplify]: Extracting #3: cost 25 inf + 0 2.383 * * [simplify]: Extracting #4: cost 23 inf + 316 2.383 * * [simplify]: Extracting #5: cost 13 inf + 1351 2.384 * * [simplify]: Extracting #6: cost 2 inf + 3747 2.384 * * [simplify]: Extracting #7: cost 0 inf + 4534 2.385 * [simplify]: Simplified to (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1)))) 2.385 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (exp (+ (log (cos (- lambda1 lambda2))) (log (* (cos phi2) (cos phi1))))))) R)) 2.385 * * * * [progress]: [ 45 / 73 ] simplifiying candidate # 2.385 * * * * [progress]: [ 46 / 73 ] simplifiying candidate # 2.385 * * * * [progress]: [ 47 / 73 ] simplifiying candidate # 2.385 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi1)) (cos phi1)) (* (* (cos phi2) (cos phi2)) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) 2.385 * * [simplify]: iters left: 6 (16 enodes) 2.389 * * [simplify]: iters left: 5 (63 enodes) 2.406 * * [simplify]: iters left: 4 (139 enodes) 2.461 * * [simplify]: iters left: 3 (395 enodes) 2.673 * * [simplify]: Extracting #0: cost 1 inf + 0 2.674 * * [simplify]: Extracting #1: cost 87 inf + 0 2.675 * * [simplify]: Extracting #2: cost 274 inf + 0 2.677 * * [simplify]: Extracting #3: cost 259 inf + 2435 2.679 * * [simplify]: Extracting #4: cost 223 inf + 13037 2.687 * * [simplify]: Extracting #5: cost 176 inf + 29070 2.727 * * [simplify]: Extracting #6: cost 21 inf + 93374 2.753 * * [simplify]: Extracting #7: cost 0 inf + 99655 2.776 * * [simplify]: Extracting #8: cost 0 inf + 99135 2.797 * [simplify]: Simplified to (* (* (cos phi2) (cos phi1)) (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2))))) 2.797 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (cos phi2) (cos phi1)) (* (* (* (cos phi2) (cos phi1)) (* (cos phi2) (cos phi1))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))))))) R)) 2.797 * * * * [progress]: [ 48 / 73 ] simplifiying candidate # 2.798 * [simplify]: Simplifying (* (* (* (* (cos phi1) (cos phi2)) (* (cos phi1) (cos phi2))) (* (cos phi1) (cos phi2))) (* (* (cos (- lambda1 lambda2)) (cos (- lambda1 lambda2))) (cos (- lambda1 lambda2)))) 2.798 * * [simplify]: iters left: 6 (14 enodes) 2.801 * * [simplify]: iters left: 5 (61 enodes) 2.821 * * [simplify]: iters left: 4 (146 enodes) 2.871 * * [simplify]: iters left: 3 (447 enodes) 3.269 * * [simplify]: Extracting #0: cost 1 inf + 0 3.269 * * [simplify]: Extracting #1: cost 79 inf + 0 3.271 * * [simplify]: Extracting #2: cost 211 inf + 1 3.274 * * [simplify]: Extracting #3: cost 198 inf + 2589 3.283 * * [simplify]: Extracting #4: cost 112 inf + 31465 3.304 * * [simplify]: Extracting #5: cost 12 inf + 68214 3.324 * * [simplify]: Extracting #6: cost 0 inf + 71959 3.363 * * [simplify]: Extracting #7: cost 0 inf + 71759 3.395 * * [simplify]: Extracting #8: cost 0 inf + 71719 3.416 * [simplify]: Simplified to (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)))) 3.416 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (cbrt (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1)) (* (* (cos (- lambda1 lambda2)) (cos phi2)) (cos phi1))))))) R)) 3.417 * * * * [progress]: [ 49 / 73 ] simplifiying candidate # 3.417 * * * * [progress]: [ 50 / 73 ] simplifiying candidate # 3.417 * * * * [progress]: [ 51 / 73 ] simplifiying candidate # 3.417 * * * * [progress]: [ 52 / 73 ] simplifiying candidate # 3.417 * * * * [progress]: [ 53 / 73 ] simplifiying candidate # 3.417 * [simplify]: Simplifying (* (* (cos phi1) (cos phi2)) (* (sin lambda1) (sin lambda2))) 3.418 * * [simplify]: iters left: 5 (11 enodes) 3.422 * * [simplify]: iters left: 4 (40 enodes) 3.434 * * [simplify]: iters left: 3 (63 enodes) 3.453 * * [simplify]: iters left: 2 (101 enodes) 3.476 * * [simplify]: iters left: 1 (122 enodes) 3.490 * * [simplify]: Extracting #0: cost 1 inf + 0 3.490 * * [simplify]: Extracting #1: cost 16 inf + 0 3.490 * * [simplify]: Extracting #2: cost 34 inf + 0 3.490 * * [simplify]: Extracting #3: cost 27 inf + 187 3.491 * * [simplify]: Extracting #4: cost 8 inf + 3366 3.492 * * [simplify]: Extracting #5: cost 0 inf + 5268 3.493 * [simplify]: Simplified to (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1)) 3.493 * [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) (cos lambda2))) (* (* (cos phi1) (* (sin lambda2) (cos phi2))) (sin lambda1))))) R)) 3.493 * * * * [progress]: [ 54 / 73 ] simplifiying candidate # 3.493 * [simplify]: Simplifying (* (* (sin lambda1) (sin lambda2)) (* (cos phi1) (cos phi2))) 3.493 * * [simplify]: iters left: 5 (11 enodes) 3.496 * * [simplify]: iters left: 4 (40 enodes) 3.502 * * [simplify]: iters left: 3 (63 enodes) 3.518 * * [simplify]: iters left: 2 (101 enodes) 3.532 * * [simplify]: iters left: 1 (122 enodes) 3.549 * * [simplify]: Extracting #0: cost 1 inf + 0 3.550 * * [simplify]: Extracting #1: cost 16 inf + 0 3.550 * * [simplify]: Extracting #2: cost 34 inf + 0 3.550 * * [simplify]: Extracting #3: cost 27 inf + 187 3.551 * * [simplify]: Extracting #4: cost 8 inf + 3366 3.553 * * [simplify]: Extracting #5: cost 0 inf + 5268 3.555 * [simplify]: Simplified to (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1)) 3.555 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (+ (* (* (cos lambda1) (cos lambda2)) (* (cos phi1) (cos phi2))) (* (* (sin lambda1) (* (cos phi2) (sin lambda2))) (cos phi1))))) R)) 3.555 * * * * [progress]: [ 55 / 73 ] simplifiying candidate # 3.556 * [simplify]: Simplifying (cbrt (cos (- lambda1 lambda2))) 3.556 * * [simplify]: iters left: 4 (5 enodes) 3.558 * * [simplify]: iters left: 3 (17 enodes) 3.562 * * [simplify]: iters left: 2 (20 enodes) 3.567 * * [simplify]: Extracting #0: cost 1 inf + 0 3.567 * * [simplify]: Extracting #1: cost 3 inf + 0 3.567 * * [simplify]: Extracting #2: cost 5 inf + 0 3.567 * * [simplify]: Extracting #3: cost 9 inf + 0 3.568 * * [simplify]: Extracting #4: cost 7 inf + 43 3.568 * * [simplify]: Extracting #5: cost 0 inf + 736 3.568 * [simplify]: Simplified to (cbrt (cos (- lambda1 lambda2))) 3.568 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (* (cbrt (cos (- lambda1 lambda2))) (cbrt (cos (- lambda1 lambda2))))) (cbrt (cos (- lambda1 lambda2)))))) R)) 3.568 * * * * [progress]: [ 56 / 73 ] simplifiying candidate # 3.569 * [simplify]: Simplifying (sqrt (cos (- lambda1 lambda2))) 3.569 * * [simplify]: iters left: 4 (5 enodes) 3.571 * * [simplify]: iters left: 3 (17 enodes) 3.575 * * [simplify]: iters left: 2 (20 enodes) 3.580 * * [simplify]: Extracting #0: cost 1 inf + 0 3.580 * * [simplify]: Extracting #1: cost 3 inf + 0 3.580 * * [simplify]: Extracting #2: cost 5 inf + 0 3.580 * * [simplify]: Extracting #3: cost 9 inf + 0 3.581 * * [simplify]: Extracting #4: cost 7 inf + 43 3.581 * * [simplify]: Extracting #5: cost 0 inf + 656 3.581 * [simplify]: Simplified to (sqrt (cos (- lambda1 lambda2))) 3.581 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) (sqrt (cos (- lambda1 lambda2)))) (sqrt (cos (- lambda1 lambda2)))))) R)) 3.581 * * * * [progress]: [ 57 / 73 ] simplifiying candidate # 3.582 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 3.582 * * [simplify]: iters left: 3 (4 enodes) 3.583 * * [simplify]: iters left: 2 (14 enodes) 3.587 * * [simplify]: iters left: 1 (17 enodes) 3.592 * * [simplify]: Extracting #0: cost 1 inf + 0 3.592 * * [simplify]: Extracting #1: cost 3 inf + 0 3.592 * * [simplify]: Extracting #2: cost 7 inf + 0 3.592 * * [simplify]: Extracting #3: cost 5 inf + 43 3.592 * * [simplify]: Extracting #4: cost 0 inf + 372 3.592 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 3.592 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (* (cos phi1) (cos phi2)) 1) (cos (- lambda1 lambda2))))) R)) 3.592 * * * * [progress]: [ 58 / 73 ] simplifiying candidate # 3.593 * [simplify]: Simplifying (cos phi1) 3.593 * * [simplify]: iters left: 1 (2 enodes) 3.594 * * [simplify]: Extracting #0: cost 1 inf + 0 3.594 * * [simplify]: Extracting #1: cost 3 inf + 0 3.594 * * [simplify]: Extracting #2: cost 2 inf + 1 3.594 * * [simplify]: Extracting #3: cost 0 inf + 123 3.594 * [simplify]: Simplified to (cos phi1) 3.594 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (cos phi1) (* (cos phi2) (cos (- lambda1 lambda2)))))) R)) 3.594 * * * * [progress]: [ 59 / 73 ] simplifiying candidate # 3.594 * [simplify]: Simplifying (* (+ (cos (+ phi1 phi2)) (cos (- phi1 phi2))) (cos (- lambda1 lambda2))) 3.594 * * [simplify]: iters left: 6 (12 enodes) 3.599 * * [simplify]: iters left: 5 (43 enodes) 3.611 * * [simplify]: iters left: 4 (57 enodes) 3.628 * * [simplify]: iters left: 3 (65 enodes) 3.638 * * [simplify]: Extracting #0: cost 1 inf + 0 3.638 * * [simplify]: Extracting #1: cost 6 inf + 0 3.638 * * [simplify]: Extracting #2: cost 13 inf + 0 3.638 * * [simplify]: Extracting #3: cost 21 inf + 0 3.638 * * [simplify]: Extracting #4: cost 22 inf + 127 3.638 * * [simplify]: Extracting #5: cost 18 inf + 374 3.639 * * [simplify]: Extracting #6: cost 9 inf + 1193 3.639 * * [simplify]: Extracting #7: cost 2 inf + 2632 3.640 * * [simplify]: Extracting #8: cost 0 inf + 3260 3.640 * [simplify]: Simplified to (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 3.640 * [simplify]: Simplified (2 1 1 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (/ (* (cos (- lambda1 lambda2)) (+ (cos (+ phi2 phi1)) (cos (- phi1 phi2)))) 2))) R)) 3.640 * * * * [progress]: [ 60 / 73 ] simplifiying candidate #real (real->posit16 (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))))) R))> 3.641 * * * * [progress]: [ 61 / 73 ] simplifiying candidate # 3.641 * * * * [progress]: [ 62 / 73 ] simplifiying candidate # 3.641 * [simplify]: Simplifying (- (+ 1 (* lambda2 lambda1)) (* 1/2 (pow lambda1 2))) 3.641 * * [simplify]: iters left: 6 (10 enodes) 3.645 * * [simplify]: iters left: 5 (43 enodes) 3.652 * * [simplify]: iters left: 4 (68 enodes) 3.662 * * [simplify]: iters left: 3 (99 enodes) 3.688 * * [simplify]: iters left: 2 (121 enodes) 3.720 * * [simplify]: iters left: 1 (130 enodes) 3.755 * * [simplify]: Extracting #0: cost 1 inf + 0 3.755 * * [simplify]: Extracting #1: cost 15 inf + 0 3.755 * * [simplify]: Extracting #2: cost 30 inf + 2 3.755 * * [simplify]: Extracting #3: cost 30 inf + 130 3.756 * * [simplify]: Extracting #4: cost 12 inf + 1530 3.758 * * [simplify]: Extracting #5: cost 1 inf + 2680 3.760 * * [simplify]: Extracting #6: cost 0 inf + 2843 3.761 * [simplify]: Simplified to (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1) 3.761 * [simplify]: Simplified (2 1 1 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (+ (* lambda1 -1/2) lambda2) lambda1) 1)))) R)) 3.761 * * * * [progress]: [ 63 / 73 ] simplifiying candidate # 3.762 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 3.762 * * [simplify]: iters left: 3 (4 enodes) 3.763 * * [simplify]: iters left: 2 (14 enodes) 3.767 * * [simplify]: iters left: 1 (17 enodes) 3.772 * * [simplify]: Extracting #0: cost 1 inf + 0 3.772 * * [simplify]: Extracting #1: cost 3 inf + 0 3.772 * * [simplify]: Extracting #2: cost 7 inf + 0 3.772 * * [simplify]: Extracting #3: cost 5 inf + 43 3.772 * * [simplify]: Extracting #4: cost 0 inf + 372 3.772 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 3.772 * [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)) 3.773 * * * * [progress]: [ 64 / 73 ] simplifiying candidate # 3.773 * [simplify]: Simplifying (cos (- lambda1 lambda2)) 3.773 * * [simplify]: iters left: 3 (4 enodes) 3.775 * * [simplify]: iters left: 2 (14 enodes) 3.779 * * [simplify]: iters left: 1 (17 enodes) 3.783 * * [simplify]: Extracting #0: cost 1 inf + 0 3.783 * * [simplify]: Extracting #1: cost 3 inf + 0 3.783 * * [simplify]: Extracting #2: cost 7 inf + 0 3.783 * * [simplify]: Extracting #3: cost 5 inf + 43 3.783 * * [simplify]: Extracting #4: cost 0 inf + 372 3.783 * [simplify]: Simplified to (cos (- lambda1 lambda2)) 3.784 * [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)) 3.784 * * * * [progress]: [ 65 / 73 ] simplifiying candidate # 3.784 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 3.784 * * [simplify]: iters left: 6 (15 enodes) 3.790 * * [simplify]: iters left: 5 (53 enodes) 3.805 * * [simplify]: iters left: 4 (64 enodes) 3.822 * * [simplify]: iters left: 3 (69 enodes) 3.832 * * [simplify]: Extracting #0: cost 1 inf + 0 3.832 * * [simplify]: Extracting #1: cost 3 inf + 0 3.832 * * [simplify]: Extracting #2: cost 6 inf + 0 3.832 * * [simplify]: Extracting #3: cost 16 inf + 0 3.832 * * [simplify]: Extracting #4: cost 27 inf + 0 3.832 * * [simplify]: Extracting #5: cost 24 inf + 307 3.832 * * [simplify]: Extracting #6: cost 10 inf + 2175 3.833 * * [simplify]: Extracting #7: cost 0 inf + 5126 3.834 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3.834 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.834 * * * * [progress]: [ 66 / 73 ] simplifiying candidate # 3.834 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 3.834 * * [simplify]: iters left: 6 (15 enodes) 3.837 * * [simplify]: iters left: 5 (53 enodes) 3.844 * * [simplify]: iters left: 4 (64 enodes) 3.852 * * [simplify]: iters left: 3 (69 enodes) 3.871 * * [simplify]: Extracting #0: cost 1 inf + 0 3.871 * * [simplify]: Extracting #1: cost 3 inf + 0 3.871 * * [simplify]: Extracting #2: cost 6 inf + 0 3.871 * * [simplify]: Extracting #3: cost 16 inf + 0 3.871 * * [simplify]: Extracting #4: cost 27 inf + 0 3.871 * * [simplify]: Extracting #5: cost 24 inf + 307 3.872 * * [simplify]: Extracting #6: cost 10 inf + 2175 3.873 * * [simplify]: Extracting #7: cost 0 inf + 5126 3.875 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3.875 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.875 * * * * [progress]: [ 67 / 73 ] simplifiying candidate # 3.876 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) 3.876 * * [simplify]: iters left: 6 (15 enodes) 3.882 * * [simplify]: iters left: 5 (53 enodes) 3.897 * * [simplify]: iters left: 4 (64 enodes) 3.914 * * [simplify]: iters left: 3 (69 enodes) 3.930 * * [simplify]: Extracting #0: cost 1 inf + 0 3.930 * * [simplify]: Extracting #1: cost 3 inf + 0 3.931 * * [simplify]: Extracting #2: cost 6 inf + 0 3.931 * * [simplify]: Extracting #3: cost 16 inf + 0 3.931 * * [simplify]: Extracting #4: cost 27 inf + 0 3.931 * * [simplify]: Extracting #5: cost 24 inf + 307 3.931 * * [simplify]: Extracting #6: cost 10 inf + 2175 3.933 * * [simplify]: Extracting #7: cost 0 inf + 5126 3.934 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) 3.934 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 3.935 * * * * [progress]: [ 68 / 73 ] simplifiying candidate # 3.935 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 3.935 * * [simplify]: iters left: 6 (17 enodes) 3.942 * * [simplify]: iters left: 5 (60 enodes) 3.951 * * [simplify]: iters left: 4 (71 enodes) 3.961 * * [simplify]: iters left: 3 (76 enodes) 3.970 * * [simplify]: Extracting #0: cost 1 inf + 0 3.970 * * [simplify]: Extracting #1: cost 4 inf + 0 3.970 * * [simplify]: Extracting #2: cost 5 inf + 1 3.970 * * [simplify]: Extracting #3: cost 8 inf + 1 3.970 * * [simplify]: Extracting #4: cost 18 inf + 1 3.970 * * [simplify]: Extracting #5: cost 29 inf + 1 3.970 * * [simplify]: Extracting #6: cost 26 inf + 308 3.970 * * [simplify]: Extracting #7: cost 15 inf + 1931 3.971 * * [simplify]: Extracting #8: cost 2 inf + 5991 3.973 * * [simplify]: Extracting #9: cost 0 inf + 6397 3.974 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 3.974 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 3.974 * * * * [progress]: [ 69 / 73 ] simplifiying candidate # 3.974 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 3.974 * * [simplify]: iters left: 6 (17 enodes) 3.978 * * [simplify]: iters left: 5 (60 enodes) 3.986 * * [simplify]: iters left: 4 (71 enodes) 4.001 * * [simplify]: iters left: 3 (76 enodes) 4.020 * * [simplify]: Extracting #0: cost 1 inf + 0 4.020 * * [simplify]: Extracting #1: cost 4 inf + 0 4.020 * * [simplify]: Extracting #2: cost 5 inf + 1 4.020 * * [simplify]: Extracting #3: cost 8 inf + 1 4.020 * * [simplify]: Extracting #4: cost 18 inf + 1 4.020 * * [simplify]: Extracting #5: cost 29 inf + 1 4.020 * * [simplify]: Extracting #6: cost 26 inf + 308 4.021 * * [simplify]: Extracting #7: cost 15 inf + 1931 4.023 * * [simplify]: Extracting #8: cost 2 inf + 5991 4.024 * * [simplify]: Extracting #9: cost 0 inf + 6397 4.026 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 4.026 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 4.026 * * * * [progress]: [ 70 / 73 ] simplifiying candidate # 4.026 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) (* (sin phi1) (sin phi2)))) R) 4.027 * * [simplify]: iters left: 6 (17 enodes) 4.034 * * [simplify]: iters left: 5 (60 enodes) 4.050 * * [simplify]: iters left: 4 (71 enodes) 4.069 * * [simplify]: iters left: 3 (76 enodes) 4.088 * * [simplify]: Extracting #0: cost 1 inf + 0 4.088 * * [simplify]: Extracting #1: cost 4 inf + 0 4.088 * * [simplify]: Extracting #2: cost 5 inf + 1 4.088 * * [simplify]: Extracting #3: cost 8 inf + 1 4.088 * * [simplify]: Extracting #4: cost 18 inf + 1 4.088 * * [simplify]: Extracting #5: cost 29 inf + 1 4.089 * * [simplify]: Extracting #6: cost 26 inf + 308 4.089 * * [simplify]: Extracting #7: cost 15 inf + 1931 4.091 * * [simplify]: Extracting #8: cost 2 inf + 5991 4.092 * * [simplify]: Extracting #9: cost 0 inf + 6397 4.094 * [simplify]: Simplified to (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2)))))) 4.094 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi1) (sin phi2)) (* (cos (- lambda1 lambda2)) (* (cos phi1) (cos phi2))))))) 4.094 * * * * [progress]: [ 71 / 73 ] simplifiying candidate # 4.095 * [simplify]: Simplifying (- 1 (+ (* 1/2 (pow phi2 2)) (* 1/2 (pow phi1 2)))) 4.095 * * [simplify]: iters left: 6 (11 enodes) 4.102 * * [simplify]: iters left: 5 (51 enodes) 4.111 * * [simplify]: iters left: 4 (84 enodes) 4.124 * * [simplify]: iters left: 3 (144 enodes) 4.156 * * [simplify]: iters left: 2 (197 enodes) 4.196 * * [simplify]: iters left: 1 (241 enodes) 4.268 * * [simplify]: Extracting #0: cost 1 inf + 0 4.268 * * [simplify]: Extracting #1: cost 16 inf + 0 4.269 * * [simplify]: Extracting #2: cost 45 inf + 2 4.269 * * [simplify]: Extracting #3: cost 49 inf + 332 4.271 * * [simplify]: Extracting #4: cost 16 inf + 3195 4.274 * * [simplify]: Extracting #5: cost 1 inf + 5438 4.277 * * [simplify]: Extracting #6: cost 0 inf + 5561 4.278 * [simplify]: Simplified to (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1) 4.279 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (- (* -1/2 (+ (* phi1 phi1) (* phi2 phi2))) -1))) R)) 4.279 * * * * [progress]: [ 72 / 73 ] simplifiying candidate # 4.279 * [simplify]: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 4.279 * * [simplify]: iters left: 6 (10 enodes) 4.281 * * [simplify]: iters left: 5 (36 enodes) 4.286 * * [simplify]: iters left: 4 (47 enodes) 4.291 * * [simplify]: iters left: 3 (52 enodes) 4.299 * * [simplify]: Extracting #0: cost 1 inf + 0 4.299 * * [simplify]: Extracting #1: cost 8 inf + 0 4.299 * * [simplify]: Extracting #2: cost 17 inf + 0 4.299 * * [simplify]: Extracting #3: cost 17 inf + 124 4.299 * * [simplify]: Extracting #4: cost 15 inf + 187 4.299 * * [simplify]: Extracting #5: cost 4 inf + 1550 4.300 * * [simplify]: Extracting #6: cost 0 inf + 2362 4.300 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 4.300 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.300 * * * * [progress]: [ 73 / 73 ] simplifiying candidate # 4.300 * [simplify]: Simplifying (* (cos phi1) (* (cos (- lambda1 lambda2)) (cos phi2))) 4.301 * * [simplify]: iters left: 6 (10 enodes) 4.302 * * [simplify]: iters left: 5 (36 enodes) 4.310 * * [simplify]: iters left: 4 (47 enodes) 4.322 * * [simplify]: iters left: 3 (52 enodes) 4.334 * * [simplify]: Extracting #0: cost 1 inf + 0 4.335 * * [simplify]: Extracting #1: cost 8 inf + 0 4.335 * * [simplify]: Extracting #2: cost 17 inf + 0 4.335 * * [simplify]: Extracting #3: cost 17 inf + 124 4.335 * * [simplify]: Extracting #4: cost 15 inf + 187 4.335 * * [simplify]: Extracting #5: cost 4 inf + 1550 4.336 * * [simplify]: Extracting #6: cost 0 inf + 2362 4.337 * [simplify]: Simplified to (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))) 4.337 * [simplify]: Simplified (2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R)) 4.337 * * * [progress]: adding candidates to table 5.525 * * [progress]: iteration 2 / 4 5.525 * * * [progress]: picking best candidate 5.621 * * * * [pick]: Picked # 5.621 * * * [progress]: localizing error 5.689 * * * [progress]: generating rewritten candidates 5.689 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 5.691 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 5.702 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 2) 5.723 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 5.745 * * * [progress]: generating series expansions 5.745 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 5.746 * [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))))) 5.746 * [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 5.746 * [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 5.746 * [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))))) 5.746 * [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 5.747 * [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))))) 5.747 * [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 5.747 * [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))))) 5.748 * [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 5.748 * [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))))) 5.748 * [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 5.749 * [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))))) 5.749 * [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 5.749 * [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))))) 5.749 * [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 5.750 * [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))))) 5.750 * [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 5.751 * [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))))) 5.751 * [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))))) 5.751 * [taylor]: Taking taylor expansion of 0 in phi2 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [taylor]: Taking taylor expansion of 0 in lambda1 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [taylor]: Taking taylor expansion of 0 in lambda2 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [taylor]: Taking taylor expansion of 0 in lambda1 5.751 * [backup-simplify]: Simplify 0 into 0 5.751 * [taylor]: Taking taylor expansion of 0 in lambda2 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [taylor]: Taking taylor expansion of 0 in lambda2 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [taylor]: Taking taylor expansion of 0 in phi2 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [taylor]: Taking taylor expansion of 0 in lambda1 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [taylor]: Taking taylor expansion of 0 in lambda2 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [taylor]: Taking taylor expansion of 0 in lambda1 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [taylor]: Taking taylor expansion of 0 in lambda2 5.752 * [backup-simplify]: Simplify 0 into 0 5.752 * [backup-simplify]: Simplify 0 into 0 5.753 * [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))))) 5.753 * [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)))))))) 5.753 * [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 5.753 * [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 5.753 * [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)))))))) 5.753 * [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 5.754 * [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)))))))) 5.754 * [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 5.754 * [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)))))))) 5.754 * [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 5.755 * [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)))))))) 5.755 * [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 5.755 * [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)))))))) 5.755 * [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 5.756 * [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)))))))) 5.756 * [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 5.756 * [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)))))))) 5.756 * [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 5.757 * [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)))))))) 5.757 * [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)))))))) 5.757 * [taylor]: Taking taylor expansion of 0 in phi2 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda1 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda2 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda1 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda2 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda2 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in phi2 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda1 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda2 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda1 5.757 * [backup-simplify]: Simplify 0 into 0 5.757 * [taylor]: Taking taylor expansion of 0 in lambda2 5.757 * [backup-simplify]: Simplify 0 into 0 5.758 * [backup-simplify]: Simplify 0 into 0 5.758 * [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))))) 5.758 * [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)))))))) 5.758 * [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 5.758 * [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 5.759 * [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)))))))) 5.759 * [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 5.759 * [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)))))))) 5.759 * [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 5.760 * [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)))))))) 5.760 * [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 5.760 * [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)))))))) 5.760 * [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 5.761 * [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)))))))) 5.761 * [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 5.761 * [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)))))))) 5.761 * [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 5.761 * [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)))))))) 5.761 * [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 5.762 * [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)))))))) 5.762 * [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)))))))) 5.762 * [taylor]: Taking taylor expansion of 0 in phi2 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [taylor]: Taking taylor expansion of 0 in lambda1 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [taylor]: Taking taylor expansion of 0 in lambda2 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [backup-simplify]: Simplify 0 into 0 5.762 * [taylor]: Taking taylor expansion of 0 in lambda1 5.762 * [backup-simplify]: Simplify 0 into 0 5.763 * [taylor]: Taking taylor expansion of 0 in lambda2 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [taylor]: Taking taylor expansion of 0 in lambda2 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [taylor]: Taking taylor expansion of 0 in phi2 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [taylor]: Taking taylor expansion of 0 in lambda1 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [taylor]: Taking taylor expansion of 0 in lambda2 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [taylor]: Taking taylor expansion of 0 in lambda1 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [taylor]: Taking taylor expansion of 0 in lambda2 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [backup-simplify]: Simplify 0 into 0 5.763 * [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))))) 5.763 * * * * [progress]: [ 2 / 4 ] generating series at (2) 5.764 * [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)))))) 5.764 * [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 5.764 * [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 5.764 * [taylor]: Taking taylor expansion of R in R 5.764 * [backup-simplify]: Simplify 0 into 0 5.764 * [backup-simplify]: Simplify 1 into 1 5.764 * [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 5.764 * [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))))) 5.764 * [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 5.764 * [taylor]: Taking taylor expansion of R in lambda2 5.764 * [backup-simplify]: Simplify R into R 5.764 * [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 5.764 * [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))))) 5.764 * [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 5.764 * [taylor]: Taking taylor expansion of R in lambda1 5.765 * [backup-simplify]: Simplify R into R 5.765 * [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 5.765 * [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))))) 5.765 * [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 5.765 * [taylor]: Taking taylor expansion of R in phi2 5.765 * [backup-simplify]: Simplify R into R 5.765 * [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 5.765 * [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))))) 5.765 * [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 5.765 * [taylor]: Taking taylor expansion of R in phi1 5.765 * [backup-simplify]: Simplify R into R 5.765 * [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 5.766 * [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))))) 5.766 * [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 5.766 * [taylor]: Taking taylor expansion of R in phi1 5.766 * [backup-simplify]: Simplify R into R 5.766 * [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 5.766 * [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))))) 5.766 * [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)))))) 5.766 * [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 5.766 * [taylor]: Taking taylor expansion of R in phi2 5.766 * [backup-simplify]: Simplify R into R 5.766 * [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 5.767 * [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))))) 5.767 * [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)))))) 5.767 * [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 5.767 * [taylor]: Taking taylor expansion of R in lambda1 5.767 * [backup-simplify]: Simplify R into R 5.767 * [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 5.767 * [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))))) 5.767 * [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)))))) 5.768 * [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 5.768 * [taylor]: Taking taylor expansion of R in lambda2 5.768 * [backup-simplify]: Simplify R into R 5.768 * [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 5.768 * [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))))) 5.768 * [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)))))) 5.768 * [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 5.768 * [taylor]: Taking taylor expansion of R in R 5.768 * [backup-simplify]: Simplify 0 into 0 5.768 * [backup-simplify]: Simplify 1 into 1 5.768 * [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 5.769 * [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))))) 5.769 * [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 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [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 5.769 * [taylor]: Taking taylor expansion of 0 in phi2 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [taylor]: Taking taylor expansion of 0 in lambda1 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [taylor]: Taking taylor expansion of 0 in lambda2 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [taylor]: Taking taylor expansion of 0 in R 5.769 * [backup-simplify]: Simplify 0 into 0 5.769 * [backup-simplify]: Simplify 0 into 0 5.770 * [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 5.770 * [taylor]: Taking taylor expansion of 0 in lambda1 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [taylor]: Taking taylor expansion of 0 in lambda2 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [taylor]: Taking taylor expansion of 0 in R 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [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 5.770 * [taylor]: Taking taylor expansion of 0 in lambda2 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [taylor]: Taking taylor expansion of 0 in R 5.770 * [backup-simplify]: Simplify 0 into 0 5.770 * [backup-simplify]: Simplify 0 into 0 5.771 * [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 5.771 * [taylor]: Taking taylor expansion of 0 in R 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [backup-simplify]: Simplify 0 into 0 5.771 * [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))))) 5.772 * [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))))) 5.772 * [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 5.773 * [taylor]: Taking taylor expansion of 0 in phi2 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [taylor]: Taking taylor expansion of 0 in lambda1 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [taylor]: Taking taylor expansion of 0 in lambda2 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [taylor]: Taking taylor expansion of 0 in R 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [taylor]: Taking taylor expansion of 0 in lambda1 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [taylor]: Taking taylor expansion of 0 in lambda2 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [taylor]: Taking taylor expansion of 0 in R 5.773 * [backup-simplify]: Simplify 0 into 0 5.773 * [backup-simplify]: Simplify 0 into 0 5.774 * [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 5.774 * [taylor]: Taking taylor expansion of 0 in lambda1 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [taylor]: Taking taylor expansion of 0 in lambda2 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [taylor]: Taking taylor expansion of 0 in R 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [taylor]: Taking taylor expansion of 0 in lambda2 5.774 * [backup-simplify]: Simplify 0 into 0 5.774 * [taylor]: Taking taylor expansion of 0 in R 5.774 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [taylor]: Taking taylor expansion of 0 in lambda2 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [taylor]: Taking taylor expansion of 0 in R 5.775 * [backup-simplify]: Simplify 0 into 0 5.775 * [backup-simplify]: Simplify 0 into 0 5.776 * [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 5.776 * [taylor]: Taking taylor expansion of 0 in lambda2 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [taylor]: Taking taylor expansion of 0 in R 5.776 * [backup-simplify]: Simplify 0 into 0 5.776 * [backup-simplify]: Simplify 0 into 0 5.777 * [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)))))) 5.778 * [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) 5.778 * [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 5.778 * [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 5.778 * [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 5.779 * [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)))))))) 5.779 * [taylor]: Taking taylor expansion of R in R 5.779 * [backup-simplify]: Simplify 0 into 0 5.779 * [backup-simplify]: Simplify 1 into 1 5.780 * [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)))))))) 5.780 * [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 5.780 * [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 5.781 * [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)))))))) 5.781 * [taylor]: Taking taylor expansion of R in lambda2 5.781 * [backup-simplify]: Simplify R into R 5.782 * [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) 5.782 * [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 5.782 * [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 5.783 * [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)))))))) 5.783 * [taylor]: Taking taylor expansion of R in lambda1 5.783 * [backup-simplify]: Simplify R into R 5.783 * [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) 5.784 * [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 5.784 * [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 5.784 * [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)))))))) 5.784 * [taylor]: Taking taylor expansion of R in phi2 5.784 * [backup-simplify]: Simplify R into R 5.785 * [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) 5.785 * [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 5.785 * [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 5.786 * [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)))))))) 5.786 * [taylor]: Taking taylor expansion of R in phi1 5.786 * [backup-simplify]: Simplify R into R 5.787 * [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) 5.787 * [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 5.787 * [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 5.788 * [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)))))))) 5.788 * [taylor]: Taking taylor expansion of R in phi1 5.788 * [backup-simplify]: Simplify R into R 5.789 * [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) 5.789 * [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 5.789 * [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 5.790 * [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)))))))) 5.790 * [taylor]: Taking taylor expansion of R in phi2 5.790 * [backup-simplify]: Simplify R into R 5.791 * [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) 5.791 * [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 5.791 * [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 5.791 * [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)))))))) 5.792 * [taylor]: Taking taylor expansion of R in lambda1 5.792 * [backup-simplify]: Simplify R into R 5.795 * [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) 5.795 * [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 5.795 * [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 5.796 * [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)))))))) 5.796 * [taylor]: Taking taylor expansion of R in lambda2 5.796 * [backup-simplify]: Simplify R into R 5.797 * [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) 5.797 * [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 5.797 * [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 5.798 * [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)))))))) 5.798 * [taylor]: Taking taylor expansion of R in R 5.798 * [backup-simplify]: Simplify 0 into 0 5.798 * [backup-simplify]: Simplify 1 into 1 5.799 * [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)))))))) 5.799 * [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)))))))) 5.800 * [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 5.800 * [taylor]: Taking taylor expansion of 0 in phi2 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [taylor]: Taking taylor expansion of 0 in lambda1 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [taylor]: Taking taylor expansion of 0 in lambda2 5.801 * [backup-simplify]: Simplify 0 into 0 5.801 * [taylor]: Taking taylor expansion of 0 in R 5.801 * [backup-simplify]: Simplify 0 into 0 5.802 * [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 5.802 * [taylor]: Taking taylor expansion of 0 in lambda1 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [taylor]: Taking taylor expansion of 0 in lambda2 5.802 * [backup-simplify]: Simplify 0 into 0 5.802 * [taylor]: Taking taylor expansion of 0 in R 5.802 * [backup-simplify]: Simplify 0 into 0 5.803 * [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 5.803 * [taylor]: Taking taylor expansion of 0 in lambda2 5.803 * [backup-simplify]: Simplify 0 into 0 5.803 * [taylor]: Taking taylor expansion of 0 in R 5.803 * [backup-simplify]: Simplify 0 into 0 5.804 * [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 5.804 * [taylor]: Taking taylor expansion of 0 in R 5.804 * [backup-simplify]: Simplify 0 into 0 5.807 * [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 5.807 * [backup-simplify]: Simplify 0 into 0 5.808 * [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 5.808 * [taylor]: Taking taylor expansion of 0 in phi2 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [taylor]: Taking taylor expansion of 0 in lambda1 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [taylor]: Taking taylor expansion of 0 in lambda2 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [taylor]: Taking taylor expansion of 0 in R 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [taylor]: Taking taylor expansion of 0 in lambda1 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [taylor]: Taking taylor expansion of 0 in lambda2 5.808 * [backup-simplify]: Simplify 0 into 0 5.808 * [taylor]: Taking taylor expansion of 0 in R 5.808 * [backup-simplify]: Simplify 0 into 0 5.809 * [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 5.809 * [taylor]: Taking taylor expansion of 0 in lambda1 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [taylor]: Taking taylor expansion of 0 in lambda2 5.809 * [backup-simplify]: Simplify 0 into 0 5.809 * [taylor]: Taking taylor expansion of 0 in R 5.809 * [backup-simplify]: Simplify 0 into 0 5.810 * [taylor]: Taking taylor expansion of 0 in lambda2 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [taylor]: Taking taylor expansion of 0 in R 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [taylor]: Taking taylor expansion of 0 in lambda2 5.810 * [backup-simplify]: Simplify 0 into 0 5.810 * [taylor]: Taking taylor expansion of 0 in R 5.810 * [backup-simplify]: Simplify 0 into 0 5.811 * [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 5.811 * [taylor]: Taking taylor expansion of 0 in lambda2 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [taylor]: Taking taylor expansion of 0 in R 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [taylor]: Taking taylor expansion of 0 in R 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [taylor]: Taking taylor expansion of 0 in R 5.811 * [backup-simplify]: Simplify 0 into 0 5.811 * [taylor]: Taking taylor expansion of 0 in R 5.811 * [backup-simplify]: Simplify 0 into 0 5.812 * [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 5.812 * [taylor]: Taking taylor expansion of 0 in R 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.812 * [backup-simplify]: Simplify 0 into 0 5.815 * [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 5.815 * [backup-simplify]: Simplify 0 into 0 5.817 * [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) 5.818 * [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)) 5.818 * [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 5.818 * [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 5.818 * [taylor]: Taking taylor expansion of -1 in R 5.818 * [backup-simplify]: Simplify -1 into -1 5.818 * [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 5.818 * [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 5.819 * [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)))))))) 5.819 * [taylor]: Taking taylor expansion of R in R 5.819 * [backup-simplify]: Simplify 0 into 0 5.819 * [backup-simplify]: Simplify 1 into 1 5.820 * [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)))))))) 5.820 * [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 5.820 * [taylor]: Taking taylor expansion of -1 in lambda2 5.820 * [backup-simplify]: Simplify -1 into -1 5.820 * [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 5.820 * [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 5.821 * [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)))))))) 5.821 * [taylor]: Taking taylor expansion of R in lambda2 5.821 * [backup-simplify]: Simplify R into R 5.822 * [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) 5.822 * [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 5.822 * [taylor]: Taking taylor expansion of -1 in lambda1 5.822 * [backup-simplify]: Simplify -1 into -1 5.822 * [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 5.822 * [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 5.823 * [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)))))))) 5.823 * [taylor]: Taking taylor expansion of R in lambda1 5.823 * [backup-simplify]: Simplify R into R 5.824 * [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) 5.824 * [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 5.824 * [taylor]: Taking taylor expansion of -1 in phi2 5.824 * [backup-simplify]: Simplify -1 into -1 5.824 * [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 5.824 * [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 5.825 * [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)))))))) 5.825 * [taylor]: Taking taylor expansion of R in phi2 5.825 * [backup-simplify]: Simplify R into R 5.826 * [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) 5.826 * [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 5.826 * [taylor]: Taking taylor expansion of -1 in phi1 5.826 * [backup-simplify]: Simplify -1 into -1 5.826 * [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 5.826 * [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 5.827 * [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)))))))) 5.827 * [taylor]: Taking taylor expansion of R in phi1 5.827 * [backup-simplify]: Simplify R into R 5.828 * [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) 5.828 * [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 5.828 * [taylor]: Taking taylor expansion of -1 in phi1 5.828 * [backup-simplify]: Simplify -1 into -1 5.828 * [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 5.828 * [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 5.829 * [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)))))))) 5.829 * [taylor]: Taking taylor expansion of R in phi1 5.829 * [backup-simplify]: Simplify R into R 5.829 * [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) 5.830 * [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)) 5.830 * [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 5.830 * [taylor]: Taking taylor expansion of -1 in phi2 5.830 * [backup-simplify]: Simplify -1 into -1 5.830 * [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 5.830 * [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 5.830 * [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)))))))) 5.830 * [taylor]: Taking taylor expansion of R in phi2 5.830 * [backup-simplify]: Simplify R into R 5.831 * [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) 5.831 * [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)) 5.831 * [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 5.831 * [taylor]: Taking taylor expansion of -1 in lambda1 5.831 * [backup-simplify]: Simplify -1 into -1 5.831 * [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 5.831 * [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 5.832 * [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)))))))) 5.832 * [taylor]: Taking taylor expansion of R in lambda1 5.832 * [backup-simplify]: Simplify R into R 5.832 * [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) 5.832 * [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)) 5.832 * [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 5.833 * [taylor]: Taking taylor expansion of -1 in lambda2 5.833 * [backup-simplify]: Simplify -1 into -1 5.833 * [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 5.833 * [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 5.833 * [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)))))))) 5.833 * [taylor]: Taking taylor expansion of R in lambda2 5.833 * [backup-simplify]: Simplify R into R 5.833 * [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) 5.834 * [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)) 5.834 * [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 5.834 * [taylor]: Taking taylor expansion of -1 in R 5.834 * [backup-simplify]: Simplify -1 into -1 5.834 * [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 5.834 * [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 5.834 * [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)))))))) 5.834 * [taylor]: Taking taylor expansion of R in R 5.834 * [backup-simplify]: Simplify 0 into 0 5.834 * [backup-simplify]: Simplify 1 into 1 5.835 * [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)))))))) 5.835 * [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))))))))) 5.836 * [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))))))))) 5.836 * [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 5.837 * [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 5.837 * [taylor]: Taking taylor expansion of 0 in phi2 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [taylor]: Taking taylor expansion of 0 in lambda1 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [taylor]: Taking taylor expansion of 0 in lambda2 5.837 * [backup-simplify]: Simplify 0 into 0 5.837 * [taylor]: Taking taylor expansion of 0 in R 5.837 * [backup-simplify]: Simplify 0 into 0 5.838 * [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 5.839 * [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 5.839 * [taylor]: Taking taylor expansion of 0 in lambda1 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [taylor]: Taking taylor expansion of 0 in lambda2 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [taylor]: Taking taylor expansion of 0 in R 5.839 * [backup-simplify]: Simplify 0 into 0 5.839 * [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 5.840 * [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 5.840 * [taylor]: Taking taylor expansion of 0 in lambda2 5.840 * [backup-simplify]: Simplify 0 into 0 5.840 * [taylor]: Taking taylor expansion of 0 in R 5.840 * [backup-simplify]: Simplify 0 into 0 5.841 * [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 5.841 * [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 5.841 * [taylor]: Taking taylor expansion of 0 in R 5.841 * [backup-simplify]: Simplify 0 into 0 5.843 * [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 5.843 * [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 5.843 * [backup-simplify]: Simplify 0 into 0 5.844 * [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 5.845 * [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 5.845 * [taylor]: Taking taylor expansion of 0 in phi2 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [taylor]: Taking taylor expansion of 0 in lambda1 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [taylor]: Taking taylor expansion of 0 in lambda2 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [taylor]: Taking taylor expansion of 0 in R 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [taylor]: Taking taylor expansion of 0 in lambda1 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [taylor]: Taking taylor expansion of 0 in lambda2 5.845 * [backup-simplify]: Simplify 0 into 0 5.845 * [taylor]: Taking taylor expansion of 0 in R 5.845 * [backup-simplify]: Simplify 0 into 0 5.846 * [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 5.847 * [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 5.847 * [taylor]: Taking taylor expansion of 0 in lambda1 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [taylor]: Taking taylor expansion of 0 in lambda2 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [taylor]: Taking taylor expansion of 0 in R 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [taylor]: Taking taylor expansion of 0 in lambda2 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [taylor]: Taking taylor expansion of 0 in R 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [taylor]: Taking taylor expansion of 0 in lambda2 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [taylor]: Taking taylor expansion of 0 in R 5.847 * [backup-simplify]: Simplify 0 into 0 5.847 * [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 5.848 * [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 5.848 * [taylor]: Taking taylor expansion of 0 in lambda2 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [taylor]: Taking taylor expansion of 0 in R 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [taylor]: Taking taylor expansion of 0 in R 5.848 * [backup-simplify]: Simplify 0 into 0 5.848 * [taylor]: Taking taylor expansion of 0 in R 5.848 * [backup-simplify]: Simplify 0 into 0 5.849 * [taylor]: Taking taylor expansion of 0 in R 5.849 * [backup-simplify]: Simplify 0 into 0 5.849 * [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 5.850 * [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 5.850 * [taylor]: Taking taylor expansion of 0 in R 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.850 * [backup-simplify]: Simplify 0 into 0 5.852 * [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 5.852 * [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 5.852 * [backup-simplify]: Simplify 0 into 0 5.853 * [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)))))) 5.854 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 2) 5.854 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 5.854 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 5.854 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 5.854 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 5.854 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.854 * [backup-simplify]: Simplify lambda1 into lambda1 5.854 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 5.854 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 5.854 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.854 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 5.854 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 5.854 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 5.854 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.854 * [backup-simplify]: Simplify lambda2 into lambda2 5.854 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 5.854 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 5.854 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 5.854 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 5.854 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.854 * [backup-simplify]: Simplify 0 into 0 5.854 * [backup-simplify]: Simplify 1 into 1 5.854 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 5.854 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.854 * [backup-simplify]: Simplify lambda2 into lambda2 5.854 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 5.854 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 5.854 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 5.855 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 5.855 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 5.855 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 5.855 * [taylor]: Taking taylor expansion of 0 in lambda2 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify 0 into 0 5.855 * [backup-simplify]: Simplify (+ 0) into 0 5.855 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 5.856 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.856 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 5.856 * [backup-simplify]: Simplify (+ 0 0) into 0 5.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.857 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 5.857 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.857 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.857 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 1 into 1 5.858 * [backup-simplify]: Simplify 0 into 0 5.858 * [backup-simplify]: Simplify 0 into 0 5.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.859 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 5.860 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.861 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 5.861 * [backup-simplify]: Simplify (+ 0 0) into 0 5.862 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.863 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 5.863 * [taylor]: Taking taylor expansion of 0 in lambda2 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify 0 into 0 5.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.863 * [backup-simplify]: Simplify 1 into 1 5.864 * [backup-simplify]: Simplify 0 into 0 5.865 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.866 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.868 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.868 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.869 * [backup-simplify]: Simplify (+ 0 0) into 0 5.870 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 5.872 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 5.872 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 5.872 * [taylor]: Taking taylor expansion of 1/6 in lambda2 5.872 * [backup-simplify]: Simplify 1/6 into 1/6 5.872 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 5.872 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.872 * [backup-simplify]: Simplify 0 into 0 5.872 * [backup-simplify]: Simplify 1 into 1 5.872 * [backup-simplify]: Simplify (* 1/6 0) into 0 5.873 * [backup-simplify]: Simplify (- 0) into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.873 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.874 * [backup-simplify]: Simplify 0 into 0 5.876 * [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 5.877 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.879 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.880 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 5.880 * [backup-simplify]: Simplify (+ 0 0) into 0 5.882 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.883 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 5.884 * [taylor]: Taking taylor expansion of 0 in lambda2 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 5.884 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.884 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 5.884 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 5.884 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 5.884 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 5.884 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.884 * [backup-simplify]: Simplify 0 into 0 5.884 * [backup-simplify]: Simplify 1 into 1 5.884 * [backup-simplify]: Simplify (/ 1 1) into 1 5.885 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.885 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 5.885 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 5.885 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.885 * [backup-simplify]: Simplify lambda1 into lambda1 5.885 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 5.885 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.885 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 5.885 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 5.885 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 5.885 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 5.885 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.885 * [backup-simplify]: Simplify lambda2 into lambda2 5.885 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 5.885 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.885 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 5.885 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 5.885 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 5.885 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.885 * [backup-simplify]: Simplify 0 into 0 5.885 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (/ 1 1) into 1 5.886 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.886 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 5.886 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 5.886 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 5.886 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.886 * [backup-simplify]: Simplify lambda2 into lambda2 5.886 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 5.886 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.886 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 5.886 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 5.886 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 5.886 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.886 * [backup-simplify]: Simplify 0 into 0 5.886 * [backup-simplify]: Simplify 1 into 1 5.886 * [backup-simplify]: Simplify (/ 1 1) into 1 5.886 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.886 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 5.886 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 5.886 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 5.886 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.887 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 5.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 5.887 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 5.887 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.887 * [backup-simplify]: Simplify 0 into 0 5.887 * [backup-simplify]: Simplify 1 into 1 5.887 * [backup-simplify]: Simplify (/ 1 1) into 1 5.887 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 5.887 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 5.887 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 5.887 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.887 * [backup-simplify]: Simplify lambda1 into lambda1 5.887 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 5.887 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 5.887 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 5.887 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 5.887 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 5.887 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 5.887 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.887 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 5.888 * [backup-simplify]: Simplify (+ 0) into 0 5.888 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 5.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 5.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.889 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 5.889 * [backup-simplify]: Simplify (+ 0 0) into 0 5.889 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 5.889 * [taylor]: Taking taylor expansion of 0 in lambda2 5.889 * [backup-simplify]: Simplify 0 into 0 5.889 * [backup-simplify]: Simplify 0 into 0 5.890 * [backup-simplify]: Simplify (+ 0) into 0 5.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 5.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 5.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 5.891 * [backup-simplify]: Simplify (+ 0 0) into 0 5.891 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 5.891 * [backup-simplify]: Simplify 0 into 0 5.892 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.892 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.893 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.893 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.893 * [backup-simplify]: Simplify (+ 0 0) into 0 5.893 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 5.894 * [taylor]: Taking taylor expansion of 0 in lambda2 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify 0 into 0 5.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.895 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 5.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.896 * [backup-simplify]: Simplify (+ 0 0) into 0 5.896 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 5.896 * [backup-simplify]: Simplify 0 into 0 5.897 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.897 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.899 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.899 * [backup-simplify]: Simplify (+ 0 0) into 0 5.899 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 5.899 * [taylor]: Taking taylor expansion of 0 in lambda2 5.899 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 5.900 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.900 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 5.900 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 5.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 5.900 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 5.900 * [taylor]: Taking taylor expansion of -1 in lambda2 5.900 * [backup-simplify]: Simplify -1 into -1 5.900 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.900 * [backup-simplify]: Simplify lambda1 into lambda1 5.900 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 5.900 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.900 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 5.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 5.900 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 5.900 * [taylor]: Taking taylor expansion of -1 in lambda2 5.900 * [backup-simplify]: Simplify -1 into -1 5.900 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.900 * [backup-simplify]: Simplify 0 into 0 5.900 * [backup-simplify]: Simplify 1 into 1 5.900 * [backup-simplify]: Simplify (/ -1 1) into -1 5.900 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.900 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 5.900 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 5.900 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 5.900 * [taylor]: Taking taylor expansion of -1 in lambda1 5.900 * [backup-simplify]: Simplify -1 into -1 5.901 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 1 into 1 5.901 * [backup-simplify]: Simplify (/ -1 1) into -1 5.901 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 5.901 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 5.901 * [taylor]: Taking taylor expansion of -1 in lambda1 5.901 * [backup-simplify]: Simplify -1 into -1 5.901 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.901 * [backup-simplify]: Simplify lambda2 into lambda2 5.901 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 5.901 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.901 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 5.901 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 5.901 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 5.901 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 5.901 * [taylor]: Taking taylor expansion of -1 in lambda1 5.901 * [backup-simplify]: Simplify -1 into -1 5.901 * [taylor]: Taking taylor expansion of lambda1 in lambda1 5.901 * [backup-simplify]: Simplify 0 into 0 5.901 * [backup-simplify]: Simplify 1 into 1 5.901 * [backup-simplify]: Simplify (/ -1 1) into -1 5.902 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.902 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 5.902 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 5.902 * [taylor]: Taking taylor expansion of -1 in lambda1 5.902 * [backup-simplify]: Simplify -1 into -1 5.902 * [taylor]: Taking taylor expansion of lambda2 in lambda1 5.902 * [backup-simplify]: Simplify lambda2 into lambda2 5.902 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 5.902 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.902 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 5.902 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 5.902 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 5.902 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 5.902 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.902 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 5.902 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 5.902 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 5.902 * [taylor]: Taking taylor expansion of -1 in lambda2 5.902 * [backup-simplify]: Simplify -1 into -1 5.902 * [taylor]: Taking taylor expansion of lambda1 in lambda2 5.902 * [backup-simplify]: Simplify lambda1 into lambda1 5.902 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 5.902 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 5.902 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 5.902 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 5.902 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 5.902 * [taylor]: Taking taylor expansion of -1 in lambda2 5.902 * [backup-simplify]: Simplify -1 into -1 5.902 * [taylor]: Taking taylor expansion of lambda2 in lambda2 5.902 * [backup-simplify]: Simplify 0 into 0 5.902 * [backup-simplify]: Simplify 1 into 1 5.905 * [backup-simplify]: Simplify (/ -1 1) into -1 5.905 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 5.905 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 5.906 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 5.906 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 5.906 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.906 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 5.906 * [backup-simplify]: Simplify (+ 0) into 0 5.906 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 5.907 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 5.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.907 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 5.908 * [backup-simplify]: Simplify (+ 0 0) into 0 5.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 5.908 * [taylor]: Taking taylor expansion of 0 in lambda2 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify 0 into 0 5.908 * [backup-simplify]: Simplify (+ 0) into 0 5.908 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 5.908 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 5.909 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.909 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 5.909 * [backup-simplify]: Simplify (+ 0 0) into 0 5.909 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 5.909 * [backup-simplify]: Simplify 0 into 0 5.910 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.910 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.911 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.911 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.911 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.912 * [backup-simplify]: Simplify (+ 0 0) into 0 5.912 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 5.912 * [taylor]: Taking taylor expansion of 0 in lambda2 5.912 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify 0 into 0 5.912 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.913 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.913 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 5.914 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.914 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.914 * [backup-simplify]: Simplify (+ 0 0) into 0 5.914 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 5.914 * [backup-simplify]: Simplify 0 into 0 5.915 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.916 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.916 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 5.917 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.917 * [backup-simplify]: Simplify (+ 0 0) into 0 5.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 5.918 * [taylor]: Taking taylor expansion of 0 in lambda2 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 5.918 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 5.918 * [backup-simplify]: Simplify (* (sin phi1) (sin phi2)) into (* (sin phi1) (sin phi2)) 5.918 * [approximate]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in (phi1 phi2) around 0 5.918 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi2 5.918 * [taylor]: Taking taylor expansion of (sin phi1) in phi2 5.918 * [taylor]: Taking taylor expansion of phi1 in phi2 5.918 * [backup-simplify]: Simplify phi1 into phi1 5.918 * [backup-simplify]: Simplify (sin phi1) into (sin phi1) 5.918 * [backup-simplify]: Simplify (cos phi1) into (cos phi1) 5.918 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.918 * [taylor]: Taking taylor expansion of phi2 in phi2 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.918 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 5.918 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 5.918 * [taylor]: Taking taylor expansion of phi1 in phi1 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.918 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 5.918 * [taylor]: Taking taylor expansion of phi2 in phi1 5.918 * [backup-simplify]: Simplify phi2 into phi2 5.918 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 5.918 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 5.918 * [taylor]: Taking taylor expansion of (* (sin phi1) (sin phi2)) in phi1 5.918 * [taylor]: Taking taylor expansion of (sin phi1) in phi1 5.918 * [taylor]: Taking taylor expansion of phi1 in phi1 5.918 * [backup-simplify]: Simplify 0 into 0 5.918 * [backup-simplify]: Simplify 1 into 1 5.918 * [taylor]: Taking taylor expansion of (sin phi2) in phi1 5.919 * [taylor]: Taking taylor expansion of phi2 in phi1 5.919 * [backup-simplify]: Simplify phi2 into phi2 5.919 * [backup-simplify]: Simplify (sin phi2) into (sin phi2) 5.919 * [backup-simplify]: Simplify (cos phi2) into (cos phi2) 5.919 * [backup-simplify]: Simplify (* (sin phi2) 1) into (sin phi2) 5.919 * [backup-simplify]: Simplify (* (cos phi2) 0) into 0 5.919 * [backup-simplify]: Simplify (+ (sin phi2) 0) into (sin phi2) 5.919 * [backup-simplify]: Simplify (* 0 (sin phi2)) into 0 5.919 * [taylor]: Taking taylor expansion of 0 in phi2 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify 0 into 0 5.919 * [backup-simplify]: Simplify (+ 0) into 0 5.919 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (* 0 1)) into 0 5.920 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.920 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (* 0 0)) into 0 5.920 * [backup-simplify]: Simplify (+ 0 0) into 0 5.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin phi2))) into (sin phi2) 5.921 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.921 * [taylor]: Taking taylor expansion of phi2 in phi2 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 1 into 1 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify 0 into 0 5.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.923 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (* 0 1))) into 0 5.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.924 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (* 0 0))) into 0 5.925 * [backup-simplify]: Simplify (+ 0 0) into 0 5.926 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.927 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin phi2)))) into 0 5.927 * [taylor]: Taking taylor expansion of 0 in phi2 5.927 * [backup-simplify]: Simplify 0 into 0 5.927 * [backup-simplify]: Simplify 0 into 0 5.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 5.928 * [backup-simplify]: Simplify 1 into 1 5.928 * [backup-simplify]: Simplify 0 into 0 5.929 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.929 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.931 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.932 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.932 * [backup-simplify]: Simplify (+ 0 0) into 0 5.934 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 5.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin phi2))))) into (- (* 1/6 (sin phi2))) 5.935 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin phi2))) in phi2 5.935 * [taylor]: Taking taylor expansion of (* 1/6 (sin phi2)) in phi2 5.935 * [taylor]: Taking taylor expansion of 1/6 in phi2 5.935 * [backup-simplify]: Simplify 1/6 into 1/6 5.935 * [taylor]: Taking taylor expansion of (sin phi2) in phi2 5.935 * [taylor]: Taking taylor expansion of phi2 in phi2 5.935 * [backup-simplify]: Simplify 0 into 0 5.935 * [backup-simplify]: Simplify 1 into 1 5.935 * [backup-simplify]: Simplify (* 1/6 0) into 0 5.936 * [backup-simplify]: Simplify (- 0) into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.936 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.937 * [backup-simplify]: Simplify 0 into 0 5.937 * [backup-simplify]: Simplify 0 into 0 5.939 * [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 5.940 * [backup-simplify]: Simplify (+ (* (sin phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 5.942 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.942 * [backup-simplify]: Simplify (+ (* (cos phi2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 5.943 * [backup-simplify]: Simplify (+ 0 0) into 0 5.944 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 5.946 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin phi2)))))) into 0 5.946 * [taylor]: Taking taylor expansion of 0 in phi2 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify (* 1 (* phi2 phi1)) into (* phi1 phi2) 5.946 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) (sin (/ 1 phi2))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.946 * [approximate]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in (phi1 phi2) around 0 5.946 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 5.946 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 5.946 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 5.946 * [taylor]: Taking taylor expansion of phi2 in phi2 5.946 * [backup-simplify]: Simplify 0 into 0 5.946 * [backup-simplify]: Simplify 1 into 1 5.947 * [backup-simplify]: Simplify (/ 1 1) into 1 5.947 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 5.947 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 5.947 * [taylor]: Taking taylor expansion of phi1 in phi2 5.947 * [backup-simplify]: Simplify phi1 into phi1 5.947 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 5.947 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.947 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 5.947 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 5.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 5.947 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 5.947 * [taylor]: Taking taylor expansion of phi2 in phi1 5.947 * [backup-simplify]: Simplify phi2 into phi2 5.947 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 5.947 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.947 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 5.947 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 5.947 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 5.947 * [taylor]: Taking taylor expansion of phi1 in phi1 5.947 * [backup-simplify]: Simplify 0 into 0 5.947 * [backup-simplify]: Simplify 1 into 1 5.948 * [backup-simplify]: Simplify (/ 1 1) into 1 5.948 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.948 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi1 5.948 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi1 5.948 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi1 5.948 * [taylor]: Taking taylor expansion of phi2 in phi1 5.948 * [backup-simplify]: Simplify phi2 into phi2 5.948 * [backup-simplify]: Simplify (/ 1 phi2) into (/ 1 phi2) 5.948 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.948 * [backup-simplify]: Simplify (cos (/ 1 phi2)) into (cos (/ 1 phi2)) 5.948 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi1 5.948 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi1 5.948 * [taylor]: Taking taylor expansion of phi1 in phi1 5.948 * [backup-simplify]: Simplify 0 into 0 5.948 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (/ 1 1) into 1 5.949 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.949 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) 1) into (sin (/ 1 phi2)) 5.949 * [backup-simplify]: Simplify (* (cos (/ 1 phi2)) 0) into 0 5.949 * [backup-simplify]: Simplify (+ (sin (/ 1 phi2)) 0) into (sin (/ 1 phi2)) 5.949 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.949 * [taylor]: Taking taylor expansion of (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) in phi2 5.949 * [taylor]: Taking taylor expansion of (sin (/ 1 phi2)) in phi2 5.949 * [taylor]: Taking taylor expansion of (/ 1 phi2) in phi2 5.949 * [taylor]: Taking taylor expansion of phi2 in phi2 5.949 * [backup-simplify]: Simplify 0 into 0 5.949 * [backup-simplify]: Simplify 1 into 1 5.949 * [backup-simplify]: Simplify (/ 1 1) into 1 5.949 * [backup-simplify]: Simplify (sin (/ 1 phi2)) into (sin (/ 1 phi2)) 5.949 * [taylor]: Taking taylor expansion of (sin (/ 1 phi1)) in phi2 5.949 * [taylor]: Taking taylor expansion of (/ 1 phi1) in phi2 5.949 * [taylor]: Taking taylor expansion of phi1 in phi2 5.949 * [backup-simplify]: Simplify phi1 into phi1 5.949 * [backup-simplify]: Simplify (/ 1 phi1) into (/ 1 phi1) 5.949 * [backup-simplify]: Simplify (sin (/ 1 phi1)) into (sin (/ 1 phi1)) 5.949 * [backup-simplify]: Simplify (cos (/ 1 phi1)) into (cos (/ 1 phi1)) 5.950 * [backup-simplify]: Simplify (* (sin (/ 1 phi1)) 1) into (sin (/ 1 phi1)) 5.950 * [backup-simplify]: Simplify (* (cos (/ 1 phi1)) 0) into 0 5.950 * [backup-simplify]: Simplify (+ (sin (/ 1 phi1)) 0) into (sin (/ 1 phi1)) 5.950 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.950 * [backup-simplify]: Simplify (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) into (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) 5.950 * [backup-simplify]: Simplify (+ 0) into 0 5.950 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 1)) into 0 5.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)))) into 0 5.951 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.951 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (* 0 0)) into 0 5.951 * [backup-simplify]: Simplify (+ 0 0) into 0 5.951 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 5.951 * [taylor]: Taking taylor expansion of 0 in phi2 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify 0 into 0 5.952 * [backup-simplify]: Simplify (+ 0) into 0 5.952 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (* 0 1)) into 0 5.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)))) into 0 5.953 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.953 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (* 0 0)) into 0 5.953 * [backup-simplify]: Simplify (+ 0 0) into 0 5.953 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (* 0 (sin (/ 1 phi1)))) into 0 5.953 * [backup-simplify]: Simplify 0 into 0 5.954 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.954 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.955 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.955 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.955 * [backup-simplify]: Simplify (+ 0 0) into 0 5.956 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 5.956 * [taylor]: Taking taylor expansion of 0 in phi2 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify 0 into 0 5.956 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.957 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 5.957 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.958 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.958 * [backup-simplify]: Simplify (+ 0 0) into 0 5.958 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1))))) into 0 5.958 * [backup-simplify]: Simplify 0 into 0 5.959 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.959 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.960 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.961 * [backup-simplify]: Simplify (+ (* (cos (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.961 * [backup-simplify]: Simplify (+ 0 0) into 0 5.961 * [backup-simplify]: Simplify (+ (* (sin (/ 1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 phi1)))))) into 0 5.961 * [taylor]: Taking taylor expansion of 0 in phi2 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify 0 into 0 5.961 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 phi2))) (sin (/ 1 (/ 1 phi1)))) into (* (sin phi1) (sin phi2)) 5.962 * [backup-simplify]: Simplify (* (sin (/ 1 (- phi1))) (sin (/ 1 (- phi2)))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.962 * [approximate]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in (phi1 phi2) around 0 5.962 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 5.962 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 5.962 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 5.962 * [taylor]: Taking taylor expansion of -1 in phi2 5.962 * [backup-simplify]: Simplify -1 into -1 5.962 * [taylor]: Taking taylor expansion of phi1 in phi2 5.962 * [backup-simplify]: Simplify phi1 into phi1 5.962 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 5.962 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.962 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 5.962 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 5.962 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 5.962 * [taylor]: Taking taylor expansion of -1 in phi2 5.962 * [backup-simplify]: Simplify -1 into -1 5.962 * [taylor]: Taking taylor expansion of phi2 in phi2 5.962 * [backup-simplify]: Simplify 0 into 0 5.962 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (/ -1 1) into -1 5.963 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.963 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 5.963 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 5.963 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 5.963 * [taylor]: Taking taylor expansion of -1 in phi1 5.963 * [backup-simplify]: Simplify -1 into -1 5.963 * [taylor]: Taking taylor expansion of phi1 in phi1 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.963 * [backup-simplify]: Simplify (/ -1 1) into -1 5.963 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.963 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 5.963 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 5.963 * [taylor]: Taking taylor expansion of -1 in phi1 5.963 * [backup-simplify]: Simplify -1 into -1 5.963 * [taylor]: Taking taylor expansion of phi2 in phi1 5.963 * [backup-simplify]: Simplify phi2 into phi2 5.963 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 5.963 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.963 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 5.963 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi1 5.963 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi1 5.963 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi1 5.963 * [taylor]: Taking taylor expansion of -1 in phi1 5.963 * [backup-simplify]: Simplify -1 into -1 5.963 * [taylor]: Taking taylor expansion of phi1 in phi1 5.963 * [backup-simplify]: Simplify 0 into 0 5.963 * [backup-simplify]: Simplify 1 into 1 5.964 * [backup-simplify]: Simplify (/ -1 1) into -1 5.964 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.964 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi1 5.964 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi1 5.964 * [taylor]: Taking taylor expansion of -1 in phi1 5.964 * [backup-simplify]: Simplify -1 into -1 5.964 * [taylor]: Taking taylor expansion of phi2 in phi1 5.964 * [backup-simplify]: Simplify phi2 into phi2 5.964 * [backup-simplify]: Simplify (/ -1 phi2) into (/ -1 phi2) 5.964 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.964 * [backup-simplify]: Simplify (cos (/ -1 phi2)) into (cos (/ -1 phi2)) 5.964 * [backup-simplify]: Simplify (* (sin (/ -1 phi2)) 1) into (sin (/ -1 phi2)) 5.964 * [backup-simplify]: Simplify (* (cos (/ -1 phi2)) 0) into 0 5.964 * [backup-simplify]: Simplify (+ (sin (/ -1 phi2)) 0) into (sin (/ -1 phi2)) 5.964 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.964 * [taylor]: Taking taylor expansion of (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) in phi2 5.964 * [taylor]: Taking taylor expansion of (sin (/ -1 phi1)) in phi2 5.964 * [taylor]: Taking taylor expansion of (/ -1 phi1) in phi2 5.964 * [taylor]: Taking taylor expansion of -1 in phi2 5.964 * [backup-simplify]: Simplify -1 into -1 5.964 * [taylor]: Taking taylor expansion of phi1 in phi2 5.964 * [backup-simplify]: Simplify phi1 into phi1 5.964 * [backup-simplify]: Simplify (/ -1 phi1) into (/ -1 phi1) 5.964 * [backup-simplify]: Simplify (sin (/ -1 phi1)) into (sin (/ -1 phi1)) 5.964 * [backup-simplify]: Simplify (cos (/ -1 phi1)) into (cos (/ -1 phi1)) 5.964 * [taylor]: Taking taylor expansion of (sin (/ -1 phi2)) in phi2 5.965 * [taylor]: Taking taylor expansion of (/ -1 phi2) in phi2 5.965 * [taylor]: Taking taylor expansion of -1 in phi2 5.965 * [backup-simplify]: Simplify -1 into -1 5.965 * [taylor]: Taking taylor expansion of phi2 in phi2 5.965 * [backup-simplify]: Simplify 0 into 0 5.965 * [backup-simplify]: Simplify 1 into 1 5.965 * [backup-simplify]: Simplify (/ -1 1) into -1 5.965 * [backup-simplify]: Simplify (sin (/ -1 phi2)) into (sin (/ -1 phi2)) 5.965 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) 1) into (sin (/ -1 phi1)) 5.965 * [backup-simplify]: Simplify (* (cos (/ -1 phi1)) 0) into 0 5.965 * [backup-simplify]: Simplify (+ (sin (/ -1 phi1)) 0) into (sin (/ -1 phi1)) 5.965 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.965 * [backup-simplify]: Simplify (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) into (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) 5.965 * [backup-simplify]: Simplify (+ 0) into 0 5.966 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (* 0 1)) into 0 5.966 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)))) into 0 5.966 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.967 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (* 0 0)) into 0 5.967 * [backup-simplify]: Simplify (+ 0 0) into 0 5.967 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 5.967 * [taylor]: Taking taylor expansion of 0 in phi2 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify 0 into 0 5.967 * [backup-simplify]: Simplify (+ 0) into 0 5.968 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 1)) into 0 5.968 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)))) into 0 5.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 5.968 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (* 0 0)) into 0 5.969 * [backup-simplify]: Simplify (+ 0 0) into 0 5.969 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (* 0 (sin (/ -1 phi2)))) into 0 5.969 * [backup-simplify]: Simplify 0 into 0 5.969 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.970 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (* 0 1))) into 0 5.970 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.970 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.971 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (* 0 0))) into 0 5.971 * [backup-simplify]: Simplify (+ 0 0) into 0 5.971 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 5.971 * [taylor]: Taking taylor expansion of 0 in phi2 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.971 * [backup-simplify]: Simplify 0 into 0 5.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 5.972 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 1))) into 0 5.972 * [backup-simplify]: Simplify (- (/ 0 phi1) (+ (* (/ -1 phi1) (/ 0 phi1)) (* 0 (/ 0 phi1)))) into 0 5.973 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 5.973 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi1)) 0) (+ (* 0 0) (* 0 0))) into 0 5.973 * [backup-simplify]: Simplify (+ 0 0) into 0 5.974 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2))))) into 0 5.974 * [backup-simplify]: Simplify 0 into 0 5.974 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 5.975 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 5.975 * [backup-simplify]: Simplify (- (/ 0 phi2) (+ (* (/ -1 phi2) (/ 0 phi2)) (* 0 (/ 0 phi2)) (* 0 (/ 0 phi2)))) into 0 5.976 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 5.976 * [backup-simplify]: Simplify (+ (* (cos (/ -1 phi2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 5.977 * [backup-simplify]: Simplify (+ 0 0) into 0 5.978 * [backup-simplify]: Simplify (+ (* (sin (/ -1 phi1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 phi2)))))) into 0 5.978 * [taylor]: Taking taylor expansion of 0 in phi2 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify 0 into 0 5.978 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- phi1)))) (sin (/ -1 (/ 1 (- phi2))))) into (* (sin phi1) (sin phi2)) 5.978 * * * [progress]: simplifying candidates 5.978 * * * * [progress]: [ 1 / 80 ] simplifiying candidate # 5.978 * * * * [progress]: [ 2 / 80 ] simplifiying candidate # 5.978 * * * * [progress]: [ 3 / 80 ] simplifiying candidate # 5.978 * * * * [progress]: [ 4 / 80 ] simplifiying candidate # 5.978 * * * * [progress]: [ 5 / 80 ] simplifiying candidate # 5.978 * * * * [progress]: [ 6 / 80 ] simplifiying candidate # 5.978 * * * * [progress]: [ 7 / 80 ] simplifiying candidate # 5.979 * * * * [progress]: [ 8 / 80 ] simplifiying candidate # 5.979 * * * * [progress]: [ 9 / 80 ] simplifiying candidate #real (real->posit16 (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R))> 5.979 * * * * [progress]: [ 10 / 80 ] simplifiying candidate # 5.979 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R) 5.979 * * [simplify]: iters left: 6 (22 enodes) 5.989 * * [simplify]: iters left: 5 (82 enodes) 6.015 * * [simplify]: iters left: 4 (144 enodes) 6.048 * * [simplify]: iters left: 3 (254 enodes) 6.109 * * [simplify]: iters left: 2 (346 enodes) 6.181 * * [simplify]: Extracting #0: cost 1 inf + 0 6.181 * * [simplify]: Extracting #1: cost 4 inf + 0 6.181 * * [simplify]: Extracting #2: cost 5 inf + 1 6.181 * * [simplify]: Extracting #3: cost 12 inf + 1 6.181 * * [simplify]: Extracting #4: cost 48 inf + 1 6.181 * * [simplify]: Extracting #5: cost 82 inf + 1 6.181 * * [simplify]: Extracting #6: cost 70 inf + 594 6.182 * * [simplify]: Extracting #7: cost 51 inf + 3167 6.184 * * [simplify]: Extracting #8: cost 13 inf + 13749 6.187 * * [simplify]: Extracting #9: cost 4 inf + 18141 6.191 * * [simplify]: Extracting #10: cost 1 inf + 20744 6.195 * * [simplify]: Extracting #11: cost 0 inf + 21559 6.199 * * [simplify]: Extracting #12: cost 0 inf + 21519 6.203 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 6.203 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 1)) 6.203 * * * * [progress]: [ 11 / 80 ] simplifiying candidate # 6.203 * * * * [progress]: [ 12 / 80 ] simplifiying candidate # 6.203 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (log R)) 6.203 * * [simplify]: iters left: 6 (24 enodes) 6.208 * * [simplify]: iters left: 5 (88 enodes) 6.222 * * [simplify]: iters left: 4 (150 enodes) 6.247 * * [simplify]: iters left: 3 (260 enodes) 6.301 * * [simplify]: iters left: 2 (361 enodes) 6.356 * * [simplify]: Extracting #0: cost 1 inf + 0 6.356 * * [simplify]: Extracting #1: cost 4 inf + 0 6.356 * * [simplify]: Extracting #2: cost 8 inf + 0 6.356 * * [simplify]: Extracting #3: cost 7 inf + 143 6.356 * * [simplify]: Extracting #4: cost 14 inf + 143 6.357 * * [simplify]: Extracting #5: cost 50 inf + 143 6.357 * * [simplify]: Extracting #6: cost 84 inf + 143 6.357 * * [simplify]: Extracting #7: cost 71 inf + 898 6.359 * * [simplify]: Extracting #8: cost 31 inf + 9809 6.363 * * [simplify]: Extracting #9: cost 9 inf + 17595 6.370 * * [simplify]: Extracting #10: cost 2 inf + 21990 6.378 * * [simplify]: Extracting #11: cost 0 inf + 23869 6.386 * * [simplify]: Extracting #12: cost 0 inf + 23789 6.394 * [simplify]: Simplified to (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R)) 6.394 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (log R)))) 6.394 * * * * [progress]: [ 13 / 80 ] simplifiying candidate # 6.395 * * * * [progress]: [ 14 / 80 ] simplifiying candidate # 6.395 * * * * [progress]: [ 15 / 80 ] simplifiying candidate # 6.395 * [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)) 6.395 * * [simplify]: iters left: 6 (26 enodes) 6.406 * * [simplify]: iters left: 5 (100 enodes) 6.440 * * [simplify]: iters left: 4 (191 enodes) 6.502 * * [simplify]: iters left: 3 (353 enodes) 6.622 * * [simplify]: Extracting #0: cost 1 inf + 0 6.622 * * [simplify]: Extracting #1: cost 23 inf + 0 6.622 * * [simplify]: Extracting #2: cost 48 inf + 2 6.623 * * [simplify]: Extracting #3: cost 52 inf + 166 6.624 * * [simplify]: Extracting #4: cost 104 inf + 672 6.625 * * [simplify]: Extracting #5: cost 137 inf + 884 6.626 * * [simplify]: Extracting #6: cost 120 inf + 1984 6.629 * * [simplify]: Extracting #7: cost 77 inf + 11545 6.638 * * [simplify]: Extracting #8: cost 45 inf + 26064 6.650 * * [simplify]: Extracting #9: cost 30 inf + 37545 6.674 * * [simplify]: Extracting #10: cost 3 inf + 65671 6.687 * * [simplify]: Extracting #11: cost 0 inf + 68685 6.701 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))) 6.701 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R))))) 6.701 * * * * [progress]: [ 16 / 80 ] simplifiying candidate # 6.701 * * * * [progress]: [ 17 / 80 ] simplifiying candidate # 6.701 * * * * [progress]: [ 18 / 80 ] simplifiying candidate # 6.701 * * * * [progress]: [ 19 / 80 ] simplifiying candidate # 6.701 * * * * [progress]: [ 20 / 80 ] simplifiying candidate # 6.701 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 6.701 * * [simplify]: iters left: 6 (24 enodes) 6.708 * * [simplify]: iters left: 5 (88 enodes) 6.736 * * [simplify]: iters left: 4 (150 enodes) 6.776 * * [simplify]: iters left: 3 (260 enodes) 6.833 * * [simplify]: iters left: 2 (361 enodes) 6.935 * * [simplify]: Extracting #0: cost 1 inf + 0 6.935 * * [simplify]: Extracting #1: cost 4 inf + 0 6.935 * * [simplify]: Extracting #2: cost 8 inf + 0 6.935 * * [simplify]: Extracting #3: cost 7 inf + 83 6.935 * * [simplify]: Extracting #4: cost 14 inf + 83 6.935 * * [simplify]: Extracting #5: cost 50 inf + 83 6.935 * * [simplify]: Extracting #6: cost 84 inf + 83 6.936 * * [simplify]: Extracting #7: cost 71 inf + 838 6.937 * * [simplify]: Extracting #8: cost 31 inf + 9749 6.940 * * [simplify]: Extracting #9: cost 9 inf + 17535 6.944 * * [simplify]: Extracting #10: cost 2 inf + 21840 6.948 * * [simplify]: Extracting #11: cost 0 inf + 23629 6.952 * * [simplify]: Extracting #12: cost 0 inf + 23549 6.956 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 6.956 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos 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)))) 6.956 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) (sqrt R)) 6.957 * * [simplify]: iters left: 6 (24 enodes) 6.966 * * [simplify]: iters left: 5 (88 enodes) 6.993 * * [simplify]: iters left: 4 (150 enodes) 7.019 * * [simplify]: iters left: 3 (260 enodes) 7.064 * * [simplify]: iters left: 2 (361 enodes) 7.147 * * [simplify]: Extracting #0: cost 1 inf + 0 7.147 * * [simplify]: Extracting #1: cost 4 inf + 0 7.147 * * [simplify]: Extracting #2: cost 8 inf + 0 7.147 * * [simplify]: Extracting #3: cost 7 inf + 83 7.147 * * [simplify]: Extracting #4: cost 14 inf + 83 7.147 * * [simplify]: Extracting #5: cost 50 inf + 83 7.148 * * [simplify]: Extracting #6: cost 84 inf + 83 7.149 * * [simplify]: Extracting #7: cost 71 inf + 838 7.151 * * [simplify]: Extracting #8: cost 31 inf + 9749 7.158 * * [simplify]: Extracting #9: cost 9 inf + 17535 7.165 * * [simplify]: Extracting #10: cost 2 inf + 21840 7.172 * * [simplify]: Extracting #11: cost 0 inf + 23629 7.180 * * [simplify]: Extracting #12: cost 0 inf + 23549 7.186 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 7.186 * [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 (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))))) 7.187 * * * * [progress]: [ 21 / 80 ] simplifiying candidate # 7.187 * [simplify]: Simplifying (cbrt R) 7.187 * * [simplify]: iters left: 1 (2 enodes) 7.187 * * [simplify]: Extracting #0: cost 1 inf + 0 7.187 * * [simplify]: Extracting #1: cost 3 inf + 0 7.187 * * [simplify]: Extracting #2: cost 2 inf + 1 7.188 * * [simplify]: Extracting #3: cost 0 inf + 163 7.188 * [simplify]: Simplified to (cbrt R) 7.188 * [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))) 7.188 * * * * [progress]: [ 22 / 80 ] simplifiying candidate # 7.188 * [simplify]: Simplifying (sqrt R) 7.188 * * [simplify]: iters left: 1 (2 enodes) 7.188 * * [simplify]: Extracting #0: cost 1 inf + 0 7.188 * * [simplify]: Extracting #1: cost 3 inf + 0 7.188 * * [simplify]: Extracting #2: cost 2 inf + 1 7.188 * * [simplify]: Extracting #3: cost 0 inf + 83 7.188 * [simplify]: Simplified to (sqrt R) 7.189 * [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))) 7.189 * * * * [progress]: [ 23 / 80 ] simplifiying candidate # 7.189 * * * * [progress]: [ 24 / 80 ] simplifiying candidate # 7.189 * [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)))))))) 7.189 * * [simplify]: iters left: 6 (22 enodes) 7.193 * * [simplify]: iters left: 5 (81 enodes) 7.206 * * [simplify]: iters left: 4 (143 enodes) 7.248 * * [simplify]: iters left: 3 (253 enodes) 7.317 * * [simplify]: iters left: 2 (345 enodes) 7.382 * * [simplify]: Extracting #0: cost 1 inf + 0 7.382 * * [simplify]: Extracting #1: cost 3 inf + 0 7.382 * * [simplify]: Extracting #2: cost 5 inf + 0 7.382 * * [simplify]: Extracting #3: cost 7 inf + 0 7.382 * * [simplify]: Extracting #4: cost 14 inf + 0 7.382 * * [simplify]: Extracting #5: cost 50 inf + 0 7.382 * * [simplify]: Extracting #6: cost 84 inf + 0 7.382 * * [simplify]: Extracting #7: cost 73 inf + 431 7.383 * * [simplify]: Extracting #8: cost 49 inf + 4014 7.386 * * [simplify]: Extracting #9: cost 11 inf + 15602 7.389 * * [simplify]: Extracting #10: cost 2 inf + 21596 7.393 * * [simplify]: Extracting #11: cost 1 inf + 22570 7.397 * * [simplify]: Extracting #12: cost 0 inf + 23544 7.402 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) 7.402 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi2) (sin phi1)))))) (* (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) 7.402 * * * * [progress]: [ 25 / 80 ] simplifiying candidate # 7.402 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) 7.402 * * [simplify]: iters left: 6 (21 enodes) 7.406 * * [simplify]: iters left: 5 (78 enodes) 7.419 * * [simplify]: iters left: 4 (140 enodes) 7.451 * * [simplify]: iters left: 3 (250 enodes) 7.501 * * [simplify]: iters left: 2 (351 enodes) 7.572 * * [simplify]: Extracting #0: cost 1 inf + 0 7.572 * * [simplify]: Extracting #1: cost 3 inf + 0 7.572 * * [simplify]: Extracting #2: cost 5 inf + 0 7.572 * * [simplify]: Extracting #3: cost 12 inf + 0 7.572 * * [simplify]: Extracting #4: cost 48 inf + 0 7.572 * * [simplify]: Extracting #5: cost 82 inf + 0 7.572 * * [simplify]: Extracting #6: cost 64 inf + 1161 7.574 * * [simplify]: Extracting #7: cost 33 inf + 7871 7.576 * * [simplify]: Extracting #8: cost 7 inf + 16730 7.580 * * [simplify]: Extracting #9: cost 1 inf + 20622 7.583 * * [simplify]: Extracting #10: cost 0 inf + 21516 7.587 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) 7.587 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))))) R))) 7.587 * * * * [progress]: [ 26 / 80 ] simplifiying candidate # 7.587 * * * * [progress]: [ 27 / 80 ] simplifiying candidate #real (real->posit16 (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))))> 7.587 * * * * [progress]: [ 28 / 80 ] simplifiying candidate # 7.587 * * * * [progress]: [ 29 / 80 ] simplifiying candidate # 7.588 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 7.588 * * [simplify]: iters left: 5 (7 enodes) 7.589 * * [simplify]: iters left: 4 (26 enodes) 7.592 * * [simplify]: iters left: 3 (32 enodes) 7.601 * * [simplify]: Extracting #0: cost 1 inf + 0 7.601 * * [simplify]: Extracting #1: cost 5 inf + 0 7.601 * * [simplify]: Extracting #2: cost 10 inf + 0 7.601 * * [simplify]: Extracting #3: cost 15 inf + 0 7.601 * * [simplify]: Extracting #4: cost 13 inf + 43 7.601 * * [simplify]: Extracting #5: cost 4 inf + 800 7.602 * * [simplify]: Extracting #6: cost 1 inf + 1186 7.602 * * [simplify]: Extracting #7: cost 0 inf + 1428 7.603 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 7.603 * [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)) 7.603 * * * * [progress]: [ 30 / 80 ] simplifiying candidate # 7.603 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 7.603 * * [simplify]: iters left: 3 (5 enodes) 7.605 * * [simplify]: iters left: 2 (16 enodes) 7.610 * * [simplify]: Extracting #0: cost 1 inf + 0 7.610 * * [simplify]: Extracting #1: cost 4 inf + 0 7.610 * * [simplify]: Extracting #2: cost 8 inf + 0 7.610 * * [simplify]: Extracting #3: cost 4 inf + 124 7.610 * * [simplify]: Extracting #4: cost 0 inf + 570 7.610 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 7.610 * [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)) 7.610 * * * * [progress]: [ 31 / 80 ] simplifiying candidate # 7.610 * * * * [progress]: [ 32 / 80 ] simplifiying candidate # 7.611 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 7.611 * * [simplify]: iters left: 4 (7 enodes) 7.614 * * [simplify]: iters left: 3 (22 enodes) 7.619 * * [simplify]: Extracting #0: cost 1 inf + 0 7.619 * * [simplify]: Extracting #1: cost 4 inf + 0 7.619 * * [simplify]: Extracting #2: cost 8 inf + 0 7.619 * * [simplify]: Extracting #3: cost 12 inf + 0 7.619 * * [simplify]: Extracting #4: cost 10 inf + 2 7.619 * * [simplify]: Extracting #5: cost 4 inf + 508 7.620 * * [simplify]: Extracting #6: cost 1 inf + 1072 7.620 * * [simplify]: Extracting #7: cost 0 inf + 1374 7.620 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 7.620 * [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)) 7.621 * * * * [progress]: [ 33 / 80 ] simplifiying candidate # 7.621 * * * * [progress]: [ 34 / 80 ] simplifiying candidate # 7.621 * * * * [progress]: [ 35 / 80 ] simplifiying candidate # 7.621 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 7.621 * * [simplify]: iters left: 6 (9 enodes) 7.625 * * [simplify]: iters left: 5 (34 enodes) 7.636 * * [simplify]: iters left: 4 (63 enodes) 7.662 * * [simplify]: iters left: 3 (122 enodes) 7.689 * * [simplify]: iters left: 2 (196 enodes) 7.735 * * [simplify]: iters left: 1 (356 enodes) 7.852 * * [simplify]: Extracting #0: cost 1 inf + 0 7.852 * * [simplify]: Extracting #1: cost 70 inf + 0 7.853 * * [simplify]: Extracting #2: cost 169 inf + 1 7.854 * * [simplify]: Extracting #3: cost 154 inf + 2658 7.857 * * [simplify]: Extracting #4: cost 86 inf + 31524 7.865 * * [simplify]: Extracting #5: cost 7 inf + 77226 7.873 * * [simplify]: Extracting #6: cost 0 inf + 81813 7.881 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 7.881 * [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)) 7.882 * * * * [progress]: [ 36 / 80 ] simplifiying candidate # 7.882 * * * * [progress]: [ 37 / 80 ] simplifiying candidate # 7.882 * * * * [progress]: [ 38 / 80 ] simplifiying candidate # 7.882 * * * * [progress]: [ 39 / 80 ] simplifiying candidate # 7.882 * * * * [progress]: [ 40 / 80 ] simplifiying candidate # 7.882 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.882 * * [simplify]: iters left: 4 (7 enodes) 7.883 * * [simplify]: iters left: 3 (22 enodes) 7.886 * * [simplify]: Extracting #0: cost 1 inf + 0 7.886 * * [simplify]: Extracting #1: cost 4 inf + 0 7.886 * * [simplify]: Extracting #2: cost 8 inf + 0 7.886 * * [simplify]: Extracting #3: cost 12 inf + 0 7.886 * * [simplify]: Extracting #4: cost 10 inf + 2 7.886 * * [simplify]: Extracting #5: cost 4 inf + 448 7.886 * * [simplify]: Extracting #6: cost 1 inf + 892 7.886 * * [simplify]: Extracting #7: cost 0 inf + 1134 7.887 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.887 * [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)) 7.887 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.887 * * [simplify]: iters left: 4 (7 enodes) 7.888 * * [simplify]: iters left: 3 (22 enodes) 7.894 * * [simplify]: Extracting #0: cost 1 inf + 0 7.894 * * [simplify]: Extracting #1: cost 4 inf + 0 7.894 * * [simplify]: Extracting #2: cost 8 inf + 0 7.894 * * [simplify]: Extracting #3: cost 12 inf + 0 7.894 * * [simplify]: Extracting #4: cost 10 inf + 2 7.894 * * [simplify]: Extracting #5: cost 4 inf + 448 7.895 * * [simplify]: Extracting #6: cost 1 inf + 892 7.895 * * [simplify]: Extracting #7: cost 0 inf + 1134 7.895 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 7.895 * [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)) 7.896 * * * * [progress]: [ 41 / 80 ] simplifiying candidate # 7.896 * [simplify]: Simplifying (cbrt (sin lambda2)) 7.896 * * [simplify]: iters left: 2 (3 enodes) 7.897 * * [simplify]: iters left: 1 (9 enodes) 7.900 * * [simplify]: Extracting #0: cost 1 inf + 0 7.900 * * [simplify]: Extracting #1: cost 3 inf + 0 7.900 * * [simplify]: Extracting #2: cost 5 inf + 0 7.900 * * [simplify]: Extracting #3: cost 4 inf + 1 7.900 * * [simplify]: Extracting #4: cost 0 inf + 405 7.900 * [simplify]: Simplified to (cbrt (sin lambda2)) 7.900 * [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)) 7.900 * * * * [progress]: [ 42 / 80 ] simplifiying candidate # 7.900 * [simplify]: Simplifying (sqrt (sin lambda2)) 7.901 * * [simplify]: iters left: 2 (3 enodes) 7.902 * * [simplify]: iters left: 1 (9 enodes) 7.904 * * [simplify]: Extracting #0: cost 1 inf + 0 7.904 * * [simplify]: Extracting #1: cost 3 inf + 0 7.904 * * [simplify]: Extracting #2: cost 5 inf + 0 7.904 * * [simplify]: Extracting #3: cost 4 inf + 1 7.904 * * [simplify]: Extracting #4: cost 0 inf + 325 7.904 * [simplify]: Simplified to (sqrt (sin lambda2)) 7.904 * [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)) 7.905 * * * * [progress]: [ 43 / 80 ] simplifiying candidate # 7.905 * [simplify]: Simplifying (sin lambda2) 7.905 * * [simplify]: iters left: 1 (2 enodes) 7.906 * * [simplify]: Extracting #0: cost 1 inf + 0 7.906 * * [simplify]: Extracting #1: cost 3 inf + 0 7.906 * * [simplify]: Extracting #2: cost 2 inf + 1 7.906 * * [simplify]: Extracting #3: cost 0 inf + 123 7.906 * [simplify]: Simplified to (sin lambda2) 7.906 * [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)) 7.906 * * * * [progress]: [ 44 / 80 ] simplifiying candidate # 7.907 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 7.907 * * [simplify]: iters left: 4 (4 enodes) 7.908 * * [simplify]: iters left: 3 (12 enodes) 7.912 * * [simplify]: Extracting #0: cost 1 inf + 0 7.912 * * [simplify]: Extracting #1: cost 3 inf + 0 7.912 * * [simplify]: Extracting #2: cost 5 inf + 0 7.912 * * [simplify]: Extracting #3: cost 7 inf + 0 7.912 * * [simplify]: Extracting #4: cost 6 inf + 1 7.912 * * [simplify]: Extracting #5: cost 0 inf + 767 7.912 * [simplify]: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 7.912 * [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)) 7.913 * * * * [progress]: [ 45 / 80 ] simplifiying candidate # 7.913 * [simplify]: Simplifying (sqrt (sin lambda1)) 7.913 * * [simplify]: iters left: 2 (3 enodes) 7.914 * * [simplify]: iters left: 1 (9 enodes) 7.916 * * [simplify]: Extracting #0: cost 1 inf + 0 7.917 * * [simplify]: Extracting #1: cost 3 inf + 0 7.917 * * [simplify]: Extracting #2: cost 5 inf + 0 7.917 * * [simplify]: Extracting #3: cost 4 inf + 1 7.917 * * [simplify]: Extracting #4: cost 0 inf + 325 7.917 * [simplify]: Simplified to (sqrt (sin lambda1)) 7.917 * [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)) 7.917 * * * * [progress]: [ 46 / 80 ] simplifiying candidate # 7.917 * * * * [progress]: [ 47 / 80 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> 7.917 * * * * [progress]: [ 48 / 80 ] simplifiying candidate # 7.917 * * * * [progress]: [ 49 / 80 ] simplifiying candidate # 7.917 * [simplify]: Simplifying (- (cos (- phi1 phi2)) (cos (+ phi1 phi2))) 7.917 * * [simplify]: iters left: 5 (7 enodes) 7.920 * * [simplify]: iters left: 4 (26 enodes) 7.923 * * [simplify]: iters left: 3 (32 enodes) 7.927 * * [simplify]: Extracting #0: cost 1 inf + 0 7.927 * * [simplify]: Extracting #1: cost 5 inf + 0 7.927 * * [simplify]: Extracting #2: cost 10 inf + 0 7.927 * * [simplify]: Extracting #3: cost 15 inf + 0 7.927 * * [simplify]: Extracting #4: cost 13 inf + 43 7.927 * * [simplify]: Extracting #5: cost 4 inf + 800 7.927 * * [simplify]: Extracting #6: cost 1 inf + 1186 7.927 * * [simplify]: Extracting #7: cost 0 inf + 1428 7.928 * [simplify]: Simplified to (- (cos (- phi1 phi2)) (cos (+ phi2 phi1))) 7.928 * [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)) 7.928 * * * * [progress]: [ 50 / 80 ] simplifiying candidate # 7.928 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 7.928 * * [simplify]: iters left: 3 (5 enodes) 7.929 * * [simplify]: iters left: 2 (16 enodes) 7.931 * * [simplify]: Extracting #0: cost 1 inf + 0 7.931 * * [simplify]: Extracting #1: cost 4 inf + 0 7.931 * * [simplify]: Extracting #2: cost 8 inf + 0 7.931 * * [simplify]: Extracting #3: cost 4 inf + 124 7.931 * * [simplify]: Extracting #4: cost 0 inf + 570 7.931 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 7.931 * [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)) 7.931 * * * * [progress]: [ 51 / 80 ] simplifiying candidate # 7.931 * * * * [progress]: [ 52 / 80 ] simplifiying candidate # 7.931 * [simplify]: Simplifying (+ (log (sin phi1)) (log (sin phi2))) 7.931 * * [simplify]: iters left: 4 (7 enodes) 7.933 * * [simplify]: iters left: 3 (22 enodes) 7.935 * * [simplify]: Extracting #0: cost 1 inf + 0 7.935 * * [simplify]: Extracting #1: cost 4 inf + 0 7.935 * * [simplify]: Extracting #2: cost 8 inf + 0 7.935 * * [simplify]: Extracting #3: cost 12 inf + 0 7.935 * * [simplify]: Extracting #4: cost 10 inf + 2 7.936 * * [simplify]: Extracting #5: cost 4 inf + 508 7.936 * * [simplify]: Extracting #6: cost 1 inf + 1072 7.936 * * [simplify]: Extracting #7: cost 0 inf + 1374 7.936 * [simplify]: Simplified to (+ (log (sin phi2)) (log (sin phi1))) 7.936 * [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)) 7.936 * * * * [progress]: [ 53 / 80 ] simplifiying candidate # 7.936 * * * * [progress]: [ 54 / 80 ] simplifiying candidate # 7.936 * * * * [progress]: [ 55 / 80 ] simplifiying candidate # 7.936 * [simplify]: Simplifying (* (* (* (sin phi1) (sin phi1)) (sin phi1)) (* (* (sin phi2) (sin phi2)) (sin phi2))) 7.937 * * [simplify]: iters left: 6 (9 enodes) 7.940 * * [simplify]: iters left: 5 (34 enodes) 7.945 * * [simplify]: iters left: 4 (63 enodes) 7.964 * * [simplify]: iters left: 3 (122 enodes) 7.987 * * [simplify]: iters left: 2 (196 enodes) 8.067 * * [simplify]: iters left: 1 (356 enodes) 8.231 * * [simplify]: Extracting #0: cost 1 inf + 0 8.231 * * [simplify]: Extracting #1: cost 70 inf + 0 8.232 * * [simplify]: Extracting #2: cost 169 inf + 1 8.234 * * [simplify]: Extracting #3: cost 154 inf + 2658 8.241 * * [simplify]: Extracting #4: cost 86 inf + 31524 8.256 * * [simplify]: Extracting #5: cost 7 inf + 77226 8.264 * * [simplify]: Extracting #6: cost 0 inf + 81813 8.273 * [simplify]: Simplified to (* (* (* (sin phi2) (sin phi1)) (* (sin phi2) (sin phi1))) (* (sin phi2) (sin phi1))) 8.273 * [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)) 8.273 * * * * [progress]: [ 56 / 80 ] simplifiying candidate # 8.273 * * * * [progress]: [ 57 / 80 ] simplifiying candidate # 8.273 * * * * [progress]: [ 58 / 80 ] simplifiying candidate # 8.273 * * * * [progress]: [ 59 / 80 ] simplifiying candidate # 8.273 * * * * [progress]: [ 60 / 80 ] simplifiying candidate # 8.273 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.274 * * [simplify]: iters left: 4 (7 enodes) 8.275 * * [simplify]: iters left: 3 (22 enodes) 8.278 * * [simplify]: Extracting #0: cost 1 inf + 0 8.278 * * [simplify]: Extracting #1: cost 4 inf + 0 8.278 * * [simplify]: Extracting #2: cost 8 inf + 0 8.278 * * [simplify]: Extracting #3: cost 12 inf + 0 8.278 * * [simplify]: Extracting #4: cost 10 inf + 2 8.278 * * [simplify]: Extracting #5: cost 4 inf + 448 8.278 * * [simplify]: Extracting #6: cost 1 inf + 892 8.278 * * [simplify]: Extracting #7: cost 0 inf + 1134 8.278 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.278 * [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)) 8.279 * [simplify]: Simplifying (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.279 * * [simplify]: iters left: 4 (7 enodes) 8.280 * * [simplify]: iters left: 3 (22 enodes) 8.283 * * [simplify]: Extracting #0: cost 1 inf + 0 8.283 * * [simplify]: Extracting #1: cost 4 inf + 0 8.283 * * [simplify]: Extracting #2: cost 8 inf + 0 8.283 * * [simplify]: Extracting #3: cost 12 inf + 0 8.283 * * [simplify]: Extracting #4: cost 10 inf + 2 8.283 * * [simplify]: Extracting #5: cost 4 inf + 448 8.283 * * [simplify]: Extracting #6: cost 1 inf + 892 8.283 * * [simplify]: Extracting #7: cost 0 inf + 1134 8.284 * [simplify]: Simplified to (* (sqrt (sin phi1)) (sqrt (sin phi2))) 8.284 * [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)) 8.284 * * * * [progress]: [ 61 / 80 ] simplifiying candidate # 8.284 * [simplify]: Simplifying (cbrt (sin phi2)) 8.284 * * [simplify]: iters left: 2 (3 enodes) 8.285 * * [simplify]: iters left: 1 (9 enodes) 8.287 * * [simplify]: Extracting #0: cost 1 inf + 0 8.287 * * [simplify]: Extracting #1: cost 3 inf + 0 8.287 * * [simplify]: Extracting #2: cost 5 inf + 0 8.287 * * [simplify]: Extracting #3: cost 4 inf + 1 8.287 * * [simplify]: Extracting #4: cost 0 inf + 405 8.287 * [simplify]: Simplified to (cbrt (sin phi2)) 8.288 * [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)) 8.288 * * * * [progress]: [ 62 / 80 ] simplifiying candidate # 8.288 * [simplify]: Simplifying (sqrt (sin phi2)) 8.288 * * [simplify]: iters left: 2 (3 enodes) 8.290 * * [simplify]: iters left: 1 (9 enodes) 8.292 * * [simplify]: Extracting #0: cost 1 inf + 0 8.292 * * [simplify]: Extracting #1: cost 3 inf + 0 8.292 * * [simplify]: Extracting #2: cost 5 inf + 0 8.292 * * [simplify]: Extracting #3: cost 4 inf + 1 8.292 * * [simplify]: Extracting #4: cost 0 inf + 325 8.292 * [simplify]: Simplified to (sqrt (sin phi2)) 8.292 * [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)) 8.293 * * * * [progress]: [ 63 / 80 ] simplifiying candidate # 8.293 * [simplify]: Simplifying (sin phi2) 8.293 * * [simplify]: iters left: 1 (2 enodes) 8.294 * * [simplify]: Extracting #0: cost 1 inf + 0 8.294 * * [simplify]: Extracting #1: cost 3 inf + 0 8.294 * * [simplify]: Extracting #2: cost 2 inf + 1 8.294 * * [simplify]: Extracting #3: cost 0 inf + 123 8.294 * [simplify]: Simplified to (sin phi2) 8.294 * [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)) 8.294 * * * * [progress]: [ 64 / 80 ] simplifiying candidate # 8.295 * [simplify]: Simplifying (* (cbrt (sin phi1)) (cbrt (sin phi1))) 8.295 * * [simplify]: iters left: 4 (4 enodes) 8.296 * * [simplify]: iters left: 3 (12 enodes) 8.300 * * [simplify]: Extracting #0: cost 1 inf + 0 8.300 * * [simplify]: Extracting #1: cost 3 inf + 0 8.300 * * [simplify]: Extracting #2: cost 5 inf + 0 8.300 * * [simplify]: Extracting #3: cost 7 inf + 0 8.300 * * [simplify]: Extracting #4: cost 6 inf + 1 8.300 * * [simplify]: Extracting #5: cost 0 inf + 767 8.300 * [simplify]: Simplified to (* (cbrt (sin phi1)) (cbrt (sin phi1))) 8.300 * [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)) 8.301 * * * * [progress]: [ 65 / 80 ] simplifiying candidate # 8.301 * [simplify]: Simplifying (sqrt (sin phi1)) 8.301 * * [simplify]: iters left: 2 (3 enodes) 8.302 * * [simplify]: iters left: 1 (9 enodes) 8.304 * * [simplify]: Extracting #0: cost 1 inf + 0 8.304 * * [simplify]: Extracting #1: cost 3 inf + 0 8.304 * * [simplify]: Extracting #2: cost 5 inf + 0 8.304 * * [simplify]: Extracting #3: cost 4 inf + 1 8.305 * * [simplify]: Extracting #4: cost 0 inf + 325 8.305 * [simplify]: Simplified to (sqrt (sin phi1)) 8.305 * [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)) 8.305 * * * * [progress]: [ 66 / 80 ] simplifiying candidate # 8.305 * * * * [progress]: [ 67 / 80 ] simplifiying candidate #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> 8.305 * * * * [progress]: [ 68 / 80 ] simplifiying candidate # 8.305 * * * * [progress]: [ 69 / 80 ] simplifiying candidate # 8.306 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.306 * * [simplify]: iters left: 6 (22 enodes) 8.315 * * [simplify]: iters left: 5 (84 enodes) 8.344 * * [simplify]: iters left: 4 (141 enodes) 8.372 * * [simplify]: iters left: 3 (241 enodes) 8.438 * * [simplify]: iters left: 2 (280 enodes) 8.476 * * [simplify]: Extracting #0: cost 1 inf + 0 8.476 * * [simplify]: Extracting #1: cost 3 inf + 0 8.477 * * [simplify]: Extracting #2: cost 10 inf + 0 8.477 * * [simplify]: Extracting #3: cost 46 inf + 0 8.477 * * [simplify]: Extracting #4: cost 80 inf + 0 8.478 * * [simplify]: Extracting #5: cost 63 inf + 1504 8.481 * * [simplify]: Extracting #6: cost 22 inf + 9796 8.486 * * [simplify]: Extracting #7: cost 5 inf + 17031 8.493 * * [simplify]: Extracting #8: cost 0 inf + 19888 8.499 * * [simplify]: Extracting #9: cost 0 inf + 19728 8.506 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 8.506 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 8.506 * * * * [progress]: [ 70 / 80 ] simplifiying candidate # 8.506 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 8.507 * * [simplify]: iters left: 6 (22 enodes) 8.518 * * [simplify]: iters left: 5 (84 enodes) 8.543 * * [simplify]: iters left: 4 (141 enodes) 8.594 * * [simplify]: iters left: 3 (241 enodes) 8.673 * * [simplify]: iters left: 2 (280 enodes) 8.745 * * [simplify]: Extracting #0: cost 1 inf + 0 8.745 * * [simplify]: Extracting #1: cost 3 inf + 0 8.745 * * [simplify]: Extracting #2: cost 10 inf + 0 8.745 * * [simplify]: Extracting #3: cost 46 inf + 0 8.745 * * [simplify]: Extracting #4: cost 80 inf + 0 8.746 * * [simplify]: Extracting #5: cost 58 inf + 2112 8.749 * * [simplify]: Extracting #6: cost 20 inf + 10221 8.755 * * [simplify]: Extracting #7: cost 2 inf + 18300 8.762 * * [simplify]: Extracting #8: cost 0 inf + 19888 8.769 * * [simplify]: Extracting #9: cost 0 inf + 19728 8.776 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 8.776 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) 8.776 * * * * [progress]: [ 71 / 80 ] simplifiying candidate # 8.777 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 8.777 * * [simplify]: iters left: 6 (22 enodes) 8.787 * * [simplify]: iters left: 5 (84 enodes) 8.811 * * [simplify]: iters left: 4 (141 enodes) 8.841 * * [simplify]: iters left: 3 (241 enodes) 8.893 * * [simplify]: iters left: 2 (280 enodes) 8.938 * * [simplify]: Extracting #0: cost 1 inf + 0 8.939 * * [simplify]: Extracting #1: cost 3 inf + 0 8.939 * * [simplify]: Extracting #2: cost 10 inf + 0 8.939 * * [simplify]: Extracting #3: cost 46 inf + 0 8.939 * * [simplify]: Extracting #4: cost 80 inf + 0 8.940 * * [simplify]: Extracting #5: cost 63 inf + 1504 8.943 * * [simplify]: Extracting #6: cost 22 inf + 9796 8.950 * * [simplify]: Extracting #7: cost 5 inf + 17031 8.956 * * [simplify]: Extracting #8: cost 0 inf + 19888 8.960 * * [simplify]: Extracting #9: cost 0 inf + 19728 8.963 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 8.963 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 8.963 * * * * [progress]: [ 72 / 80 ] simplifiying candidate # 8.963 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 8.964 * * [simplify]: iters left: 6 (24 enodes) 8.969 * * [simplify]: iters left: 5 (91 enodes) 8.982 * * [simplify]: iters left: 4 (148 enodes) 9.009 * * [simplify]: iters left: 3 (248 enodes) 9.084 * * [simplify]: iters left: 2 (295 enodes) 9.163 * * [simplify]: Extracting #0: cost 1 inf + 0 9.164 * * [simplify]: Extracting #1: cost 4 inf + 0 9.164 * * [simplify]: Extracting #2: cost 5 inf + 1 9.164 * * [simplify]: Extracting #3: cost 12 inf + 1 9.164 * * [simplify]: Extracting #4: cost 48 inf + 1 9.164 * * [simplify]: Extracting #5: cost 82 inf + 1 9.165 * * [simplify]: Extracting #6: cost 71 inf + 634 9.166 * * [simplify]: Extracting #7: cost 31 inf + 8806 9.169 * * [simplify]: Extracting #8: cost 5 inf + 18631 9.172 * * [simplify]: Extracting #9: cost 1 inf + 20704 9.176 * * [simplify]: Extracting #10: cost 0 inf + 21559 9.180 * * [simplify]: Extracting #11: cost 0 inf + 21519 9.183 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 9.183 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 9.183 * * * * [progress]: [ 73 / 80 ] simplifiying candidate # 9.184 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 9.184 * * [simplify]: iters left: 6 (24 enodes) 9.189 * * [simplify]: iters left: 5 (91 enodes) 9.203 * * [simplify]: iters left: 4 (148 enodes) 9.230 * * [simplify]: iters left: 3 (248 enodes) 9.272 * * [simplify]: iters left: 2 (292 enodes) 9.345 * * [simplify]: Extracting #0: cost 1 inf + 0 9.345 * * [simplify]: Extracting #1: cost 4 inf + 0 9.345 * * [simplify]: Extracting #2: cost 5 inf + 1 9.345 * * [simplify]: Extracting #3: cost 12 inf + 1 9.345 * * [simplify]: Extracting #4: cost 48 inf + 1 9.346 * * [simplify]: Extracting #5: cost 82 inf + 1 9.347 * * [simplify]: Extracting #6: cost 61 inf + 2052 9.350 * * [simplify]: Extracting #7: cost 23 inf + 9919 9.355 * * [simplify]: Extracting #8: cost 4 inf + 18021 9.362 * * [simplify]: Extracting #9: cost 1 inf + 20624 9.370 * * [simplify]: Extracting #10: cost 0 inf + 21519 9.377 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 9.377 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 9.378 * * * * [progress]: [ 74 / 80 ] simplifiying candidate # 9.378 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 9.378 * * [simplify]: iters left: 6 (24 enodes) 9.389 * * [simplify]: iters left: 5 (91 enodes) 9.410 * * [simplify]: iters left: 4 (148 enodes) 9.442 * * [simplify]: iters left: 3 (248 enodes) 9.523 * * [simplify]: iters left: 2 (295 enodes) 9.589 * * [simplify]: Extracting #0: cost 1 inf + 0 9.589 * * [simplify]: Extracting #1: cost 4 inf + 0 9.589 * * [simplify]: Extracting #2: cost 5 inf + 1 9.589 * * [simplify]: Extracting #3: cost 12 inf + 1 9.589 * * [simplify]: Extracting #4: cost 48 inf + 1 9.589 * * [simplify]: Extracting #5: cost 82 inf + 1 9.590 * * [simplify]: Extracting #6: cost 71 inf + 634 9.591 * * [simplify]: Extracting #7: cost 31 inf + 8806 9.594 * * [simplify]: Extracting #8: cost 5 inf + 18631 9.597 * * [simplify]: Extracting #9: cost 1 inf + 20704 9.601 * * [simplify]: Extracting #10: cost 0 inf + 21559 9.604 * * [simplify]: Extracting #11: cost 0 inf + 21519 9.608 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 9.608 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 9.608 * * * * [progress]: [ 75 / 80 ] simplifiying candidate # 9.608 * [simplify]: Simplifying (* lambda2 lambda1) 9.608 * * [simplify]: iters left: 2 (3 enodes) 9.609 * * [simplify]: iters left: 1 (10 enodes) 9.610 * * [simplify]: Extracting #0: cost 1 inf + 0 9.610 * * [simplify]: Extracting #1: cost 4 inf + 0 9.610 * * [simplify]: Extracting #2: cost 2 inf + 2 9.610 * * [simplify]: Extracting #3: cost 0 inf + 86 9.610 * [simplify]: Simplified to (* lambda2 lambda1) 9.610 * [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)) 9.610 * * * * [progress]: [ 76 / 80 ] simplifiying candidate # 9.611 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 9.611 * * [simplify]: iters left: 3 (5 enodes) 9.612 * * [simplify]: iters left: 2 (16 enodes) 9.614 * * [simplify]: Extracting #0: cost 1 inf + 0 9.614 * * [simplify]: Extracting #1: cost 4 inf + 0 9.614 * * [simplify]: Extracting #2: cost 8 inf + 0 9.614 * * [simplify]: Extracting #3: cost 4 inf + 124 9.614 * * [simplify]: Extracting #4: cost 0 inf + 570 9.614 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 9.614 * [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)) 9.614 * * * * [progress]: [ 77 / 80 ] simplifiying candidate # 9.614 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 9.614 * * [simplify]: iters left: 3 (5 enodes) 9.615 * * [simplify]: iters left: 2 (16 enodes) 9.618 * * [simplify]: Extracting #0: cost 1 inf + 0 9.618 * * [simplify]: Extracting #1: cost 4 inf + 0 9.618 * * [simplify]: Extracting #2: cost 8 inf + 0 9.618 * * [simplify]: Extracting #3: cost 4 inf + 124 9.619 * * [simplify]: Extracting #4: cost 0 inf + 570 9.619 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 9.619 * [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)) 9.619 * * * * [progress]: [ 78 / 80 ] simplifiying candidate # 9.619 * [simplify]: Simplifying (* phi1 phi2) 9.619 * * [simplify]: iters left: 2 (3 enodes) 9.621 * * [simplify]: iters left: 1 (10 enodes) 9.623 * * [simplify]: Extracting #0: cost 1 inf + 0 9.623 * * [simplify]: Extracting #1: cost 4 inf + 0 9.623 * * [simplify]: Extracting #2: cost 2 inf + 2 9.623 * * [simplify]: Extracting #3: cost 0 inf + 86 9.623 * [simplify]: Simplified to (* phi1 phi2) 9.624 * [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)) 9.624 * * * * [progress]: [ 79 / 80 ] simplifiying candidate # 9.624 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 9.624 * * [simplify]: iters left: 3 (5 enodes) 9.626 * * [simplify]: iters left: 2 (16 enodes) 9.630 * * [simplify]: Extracting #0: cost 1 inf + 0 9.630 * * [simplify]: Extracting #1: cost 4 inf + 0 9.630 * * [simplify]: Extracting #2: cost 8 inf + 0 9.630 * * [simplify]: Extracting #3: cost 4 inf + 124 9.630 * * [simplify]: Extracting #4: cost 0 inf + 570 9.631 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 9.631 * [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)) 9.631 * * * * [progress]: [ 80 / 80 ] simplifiying candidate # 9.631 * [simplify]: Simplifying (* (sin phi1) (sin phi2)) 9.631 * * [simplify]: iters left: 3 (5 enodes) 9.633 * * [simplify]: iters left: 2 (16 enodes) 9.638 * * [simplify]: Extracting #0: cost 1 inf + 0 9.638 * * [simplify]: Extracting #1: cost 4 inf + 0 9.638 * * [simplify]: Extracting #2: cost 8 inf + 0 9.638 * * [simplify]: Extracting #3: cost 4 inf + 124 9.638 * * [simplify]: Extracting #4: cost 0 inf + 570 9.638 * [simplify]: Simplified to (* (sin phi2) (sin phi1)) 9.638 * [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)) 9.639 * * * [progress]: adding candidates to table 11.472 * * [progress]: iteration 3 / 4 11.472 * * * [progress]: picking best candidate 11.700 * * * * [pick]: Picked # 11.700 * * * [progress]: localizing error 11.762 * * * [progress]: generating rewritten candidates 11.762 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2 2) 11.766 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 11.775 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 11.787 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 2 1 1) 11.807 * * * [progress]: generating series expansions 11.807 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2 2) 11.807 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 11.807 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 11.807 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 11.807 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 11.807 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.807 * [backup-simplify]: Simplify lambda1 into lambda1 11.807 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 11.807 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 11.807 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.807 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.807 * [backup-simplify]: Simplify 0 into 0 11.807 * [backup-simplify]: Simplify 1 into 1 11.807 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.807 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.807 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.807 * [backup-simplify]: Simplify 0 into 0 11.807 * [backup-simplify]: Simplify 1 into 1 11.807 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.807 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.807 * [backup-simplify]: Simplify lambda2 into lambda2 11.807 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 11.807 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 11.807 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.807 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.807 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.807 * [backup-simplify]: Simplify 0 into 0 11.807 * [backup-simplify]: Simplify 1 into 1 11.807 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.807 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.807 * [backup-simplify]: Simplify lambda2 into lambda2 11.807 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 11.807 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 11.808 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 11.808 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 11.808 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 11.808 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 11.808 * [taylor]: Taking taylor expansion of 0 in lambda2 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify 0 into 0 11.808 * [backup-simplify]: Simplify (+ 0) into 0 11.809 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 11.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.810 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 11.810 * [backup-simplify]: Simplify (+ 0 0) into 0 11.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 11.811 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.811 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.811 * [backup-simplify]: Simplify 0 into 0 11.811 * [backup-simplify]: Simplify 1 into 1 11.811 * [backup-simplify]: Simplify 0 into 0 11.811 * [backup-simplify]: Simplify 0 into 0 11.811 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.812 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 11.812 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.812 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 11.813 * [backup-simplify]: Simplify (+ 0 0) into 0 11.813 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.814 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 11.814 * [taylor]: Taking taylor expansion of 0 in lambda2 11.814 * [backup-simplify]: Simplify 0 into 0 11.814 * [backup-simplify]: Simplify 0 into 0 11.814 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.814 * [backup-simplify]: Simplify 1 into 1 11.814 * [backup-simplify]: Simplify 0 into 0 11.815 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.815 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.816 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.817 * [backup-simplify]: Simplify (+ 0 0) into 0 11.817 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 11.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 11.818 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 11.818 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 11.818 * [taylor]: Taking taylor expansion of 1/6 in lambda2 11.818 * [backup-simplify]: Simplify 1/6 into 1/6 11.818 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.818 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.818 * [backup-simplify]: Simplify 0 into 0 11.818 * [backup-simplify]: Simplify 1 into 1 11.819 * [backup-simplify]: Simplify (* 1/6 0) into 0 11.819 * [backup-simplify]: Simplify (- 0) into 0 11.819 * [backup-simplify]: Simplify 0 into 0 11.819 * [backup-simplify]: Simplify 0 into 0 11.820 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.820 * [backup-simplify]: Simplify 0 into 0 11.820 * [backup-simplify]: Simplify 0 into 0 11.821 * [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 11.821 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.822 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.823 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 11.823 * [backup-simplify]: Simplify (+ 0 0) into 0 11.824 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.825 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 11.825 * [taylor]: Taking taylor expansion of 0 in lambda2 11.825 * [backup-simplify]: Simplify 0 into 0 11.825 * [backup-simplify]: Simplify 0 into 0 11.825 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 11.825 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.825 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 11.825 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 11.825 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.825 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.825 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.825 * [backup-simplify]: Simplify 0 into 0 11.825 * [backup-simplify]: Simplify 1 into 1 11.825 * [backup-simplify]: Simplify (/ 1 1) into 1 11.825 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.825 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.825 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.825 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.825 * [backup-simplify]: Simplify lambda1 into lambda1 11.826 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 11.826 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.826 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 11.826 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 11.826 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.826 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.826 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.826 * [backup-simplify]: Simplify lambda2 into lambda2 11.826 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 11.826 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.826 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 11.826 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.826 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.826 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify 1 into 1 11.826 * [backup-simplify]: Simplify (/ 1 1) into 1 11.826 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.826 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 11.826 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.826 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.826 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.826 * [backup-simplify]: Simplify lambda2 into lambda2 11.826 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 11.826 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.826 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 11.826 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.826 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.826 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify 1 into 1 11.827 * [backup-simplify]: Simplify (/ 1 1) into 1 11.827 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.827 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 11.827 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 11.827 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 11.827 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.827 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 11.827 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.827 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.827 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.827 * [backup-simplify]: Simplify 0 into 0 11.827 * [backup-simplify]: Simplify 1 into 1 11.827 * [backup-simplify]: Simplify (/ 1 1) into 1 11.827 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.827 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.827 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.827 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.827 * [backup-simplify]: Simplify lambda1 into lambda1 11.827 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 11.828 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.828 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 11.828 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 11.828 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 11.828 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 11.828 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.828 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.828 * [backup-simplify]: Simplify (+ 0) into 0 11.828 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 11.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 11.829 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.829 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 11.829 * [backup-simplify]: Simplify (+ 0 0) into 0 11.830 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 11.830 * [taylor]: Taking taylor expansion of 0 in lambda2 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify 0 into 0 11.830 * [backup-simplify]: Simplify (+ 0) into 0 11.830 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 11.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 11.831 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 11.831 * [backup-simplify]: Simplify (+ 0 0) into 0 11.831 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 11.831 * [backup-simplify]: Simplify 0 into 0 11.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 11.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 11.833 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 11.833 * [backup-simplify]: Simplify (+ 0 0) into 0 11.834 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 11.834 * [taylor]: Taking taylor expansion of 0 in lambda2 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 11.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 11.835 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 11.836 * [backup-simplify]: Simplify (+ 0 0) into 0 11.836 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 11.836 * [backup-simplify]: Simplify 0 into 0 11.837 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.837 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.837 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 11.838 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.839 * [backup-simplify]: Simplify (+ 0 0) into 0 11.839 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 11.839 * [taylor]: Taking taylor expansion of 0 in lambda2 11.839 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 11.840 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 11.840 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 11.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 11.840 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.840 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.840 * [taylor]: Taking taylor expansion of -1 in lambda2 11.840 * [backup-simplify]: Simplify -1 into -1 11.840 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.840 * [backup-simplify]: Simplify lambda1 into lambda1 11.840 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 11.840 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 11.840 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 11.840 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.840 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.840 * [taylor]: Taking taylor expansion of -1 in lambda2 11.840 * [backup-simplify]: Simplify -1 into -1 11.840 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.840 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify 1 into 1 11.840 * [backup-simplify]: Simplify (/ -1 1) into -1 11.840 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 11.840 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.840 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.840 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.840 * [taylor]: Taking taylor expansion of -1 in lambda1 11.840 * [backup-simplify]: Simplify -1 into -1 11.841 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.841 * [backup-simplify]: Simplify 0 into 0 11.841 * [backup-simplify]: Simplify 1 into 1 11.841 * [backup-simplify]: Simplify (/ -1 1) into -1 11.841 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 11.841 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.841 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.841 * [taylor]: Taking taylor expansion of -1 in lambda1 11.841 * [backup-simplify]: Simplify -1 into -1 11.841 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.841 * [backup-simplify]: Simplify lambda2 into lambda2 11.841 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 11.841 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 11.841 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 11.841 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 11.841 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 11.841 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 11.841 * [taylor]: Taking taylor expansion of -1 in lambda1 11.841 * [backup-simplify]: Simplify -1 into -1 11.841 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.841 * [backup-simplify]: Simplify 0 into 0 11.841 * [backup-simplify]: Simplify 1 into 1 11.841 * [backup-simplify]: Simplify (/ -1 1) into -1 11.842 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 11.842 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 11.842 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 11.842 * [taylor]: Taking taylor expansion of -1 in lambda1 11.842 * [backup-simplify]: Simplify -1 into -1 11.842 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.842 * [backup-simplify]: Simplify lambda2 into lambda2 11.842 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 11.842 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 11.842 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 11.842 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 11.842 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 11.842 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 11.842 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 11.842 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 11.842 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 11.842 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 11.842 * [taylor]: Taking taylor expansion of -1 in lambda2 11.842 * [backup-simplify]: Simplify -1 into -1 11.842 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.842 * [backup-simplify]: Simplify lambda1 into lambda1 11.842 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 11.842 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 11.842 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 11.842 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 11.842 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 11.842 * [taylor]: Taking taylor expansion of -1 in lambda2 11.842 * [backup-simplify]: Simplify -1 into -1 11.842 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.842 * [backup-simplify]: Simplify 0 into 0 11.842 * [backup-simplify]: Simplify 1 into 1 11.843 * [backup-simplify]: Simplify (/ -1 1) into -1 11.843 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 11.843 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 11.843 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 11.843 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 11.843 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 11.843 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 11.843 * [backup-simplify]: Simplify (+ 0) into 0 11.844 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 11.844 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 11.844 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 11.845 * [backup-simplify]: Simplify (+ 0 0) into 0 11.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 11.845 * [taylor]: Taking taylor expansion of 0 in lambda2 11.845 * [backup-simplify]: Simplify 0 into 0 11.845 * [backup-simplify]: Simplify 0 into 0 11.845 * [backup-simplify]: Simplify (+ 0) into 0 11.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 11.845 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 11.846 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 11.846 * [backup-simplify]: Simplify (+ 0 0) into 0 11.847 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.848 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 11.848 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 11.848 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.848 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 11.849 * [backup-simplify]: Simplify (+ 0 0) into 0 11.849 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 11.849 * [taylor]: Taking taylor expansion of 0 in lambda2 11.849 * [backup-simplify]: Simplify 0 into 0 11.849 * [backup-simplify]: Simplify 0 into 0 11.849 * [backup-simplify]: Simplify 0 into 0 11.850 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.850 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 11.850 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 11.851 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 11.851 * [backup-simplify]: Simplify (+ 0 0) into 0 11.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 11.851 * [backup-simplify]: Simplify 0 into 0 11.852 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.853 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.853 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 11.854 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.854 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.854 * [backup-simplify]: Simplify (+ 0 0) into 0 11.855 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 11.855 * [taylor]: Taking taylor expansion of 0 in lambda2 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 11.855 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 11.855 * [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))))) 11.855 * [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 11.855 * [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 11.856 * [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))))) 11.856 * [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 11.856 * [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))))) 11.856 * [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 11.856 * [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))))) 11.856 * [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 11.857 * [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))))) 11.857 * [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 11.857 * [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))))) 11.857 * [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 11.857 * [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))))) 11.857 * [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 11.858 * [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))))) 11.858 * [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 11.858 * [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))))) 11.858 * [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))))) 11.858 * [taylor]: Taking taylor expansion of 0 in phi2 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [taylor]: Taking taylor expansion of 0 in lambda1 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [taylor]: Taking taylor expansion of 0 in lambda2 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [backup-simplify]: Simplify 0 into 0 11.858 * [taylor]: Taking taylor expansion of 0 in lambda1 11.858 * [backup-simplify]: Simplify 0 into 0 11.859 * [taylor]: Taking taylor expansion of 0 in lambda2 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [taylor]: Taking taylor expansion of 0 in lambda2 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [taylor]: Taking taylor expansion of 0 in phi2 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [taylor]: Taking taylor expansion of 0 in lambda1 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [taylor]: Taking taylor expansion of 0 in lambda2 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [taylor]: Taking taylor expansion of 0 in lambda1 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [taylor]: Taking taylor expansion of 0 in lambda2 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [backup-simplify]: Simplify 0 into 0 11.859 * [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))))) 11.859 * [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)))))))) 11.860 * [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 11.860 * [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 11.860 * [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)))))))) 11.860 * [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 11.861 * [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)))))))) 11.861 * [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 11.861 * [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)))))))) 11.861 * [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 11.861 * [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)))))))) 11.861 * [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 11.862 * [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)))))))) 11.862 * [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 11.862 * [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)))))))) 11.862 * [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 11.863 * [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)))))))) 11.863 * [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 11.863 * [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)))))))) 11.864 * [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)))))))) 11.864 * [taylor]: Taking taylor expansion of 0 in phi2 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda1 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda2 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda1 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda2 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda2 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in phi2 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda1 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda2 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda1 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [taylor]: Taking taylor expansion of 0 in lambda2 11.864 * [backup-simplify]: Simplify 0 into 0 11.864 * [backup-simplify]: Simplify 0 into 0 11.865 * [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))))) 11.865 * [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)))))))) 11.865 * [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 11.865 * [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 11.865 * [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)))))))) 11.866 * [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 11.866 * [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)))))))) 11.866 * [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 11.866 * [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)))))))) 11.866 * [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 11.867 * [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)))))))) 11.867 * [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 11.867 * [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)))))))) 11.867 * [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 11.868 * [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)))))))) 11.868 * [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 11.868 * [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)))))))) 11.868 * [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 11.869 * [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)))))))) 11.869 * [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)))))))) 11.872 * [taylor]: Taking taylor expansion of 0 in phi2 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [taylor]: Taking taylor expansion of 0 in lambda1 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [taylor]: Taking taylor expansion of 0 in lambda2 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [taylor]: Taking taylor expansion of 0 in lambda1 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [taylor]: Taking taylor expansion of 0 in lambda2 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [taylor]: Taking taylor expansion of 0 in lambda2 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [taylor]: Taking taylor expansion of 0 in phi2 11.872 * [backup-simplify]: Simplify 0 into 0 11.872 * [taylor]: Taking taylor expansion of 0 in lambda1 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [taylor]: Taking taylor expansion of 0 in lambda2 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [taylor]: Taking taylor expansion of 0 in lambda1 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [taylor]: Taking taylor expansion of 0 in lambda2 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [backup-simplify]: Simplify 0 into 0 11.873 * [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))))) 11.873 * * * * [progress]: [ 3 / 4 ] generating series at (2) 11.874 * [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)))))) 11.874 * [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 11.874 * [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 11.874 * [taylor]: Taking taylor expansion of R in R 11.874 * [backup-simplify]: Simplify 0 into 0 11.874 * [backup-simplify]: Simplify 1 into 1 11.874 * [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 11.874 * [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))))) 11.874 * [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 11.874 * [taylor]: Taking taylor expansion of R in lambda2 11.874 * [backup-simplify]: Simplify R into R 11.874 * [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 11.874 * [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))))) 11.874 * [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 11.874 * [taylor]: Taking taylor expansion of R in lambda1 11.874 * [backup-simplify]: Simplify R into R 11.874 * [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 11.875 * [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))))) 11.875 * [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 11.875 * [taylor]: Taking taylor expansion of R in phi2 11.875 * [backup-simplify]: Simplify R into R 11.875 * [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 11.875 * [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))))) 11.875 * [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 11.875 * [taylor]: Taking taylor expansion of R in phi1 11.875 * [backup-simplify]: Simplify R into R 11.875 * [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 11.875 * [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))))) 11.875 * [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 11.875 * [taylor]: Taking taylor expansion of R in phi1 11.875 * [backup-simplify]: Simplify R into R 11.875 * [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 11.876 * [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))))) 11.876 * [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)))))) 11.876 * [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 11.876 * [taylor]: Taking taylor expansion of R in phi2 11.876 * [backup-simplify]: Simplify R into R 11.876 * [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 11.877 * [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))))) 11.877 * [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)))))) 11.877 * [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 11.877 * [taylor]: Taking taylor expansion of R in lambda1 11.877 * [backup-simplify]: Simplify R into R 11.877 * [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 11.878 * [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))))) 11.878 * [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)))))) 11.878 * [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 11.878 * [taylor]: Taking taylor expansion of R in lambda2 11.878 * [backup-simplify]: Simplify R into R 11.878 * [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 11.879 * [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))))) 11.879 * [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)))))) 11.879 * [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 11.879 * [taylor]: Taking taylor expansion of R in R 11.880 * [backup-simplify]: Simplify 0 into 0 11.880 * [backup-simplify]: Simplify 1 into 1 11.880 * [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 11.880 * [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))))) 11.881 * [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 11.881 * [backup-simplify]: Simplify 0 into 0 11.881 * [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 11.881 * [taylor]: Taking taylor expansion of 0 in phi2 11.881 * [backup-simplify]: Simplify 0 into 0 11.881 * [taylor]: Taking taylor expansion of 0 in lambda1 11.881 * [backup-simplify]: Simplify 0 into 0 11.881 * [taylor]: Taking taylor expansion of 0 in lambda2 11.881 * [backup-simplify]: Simplify 0 into 0 11.881 * [taylor]: Taking taylor expansion of 0 in R 11.881 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [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 11.882 * [taylor]: Taking taylor expansion of 0 in lambda1 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [taylor]: Taking taylor expansion of 0 in lambda2 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [taylor]: Taking taylor expansion of 0 in R 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.883 * [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 11.883 * [taylor]: Taking taylor expansion of 0 in lambda2 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [taylor]: Taking taylor expansion of 0 in R 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 0 into 0 11.884 * [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 11.884 * [taylor]: Taking taylor expansion of 0 in R 11.884 * [backup-simplify]: Simplify 0 into 0 11.884 * [backup-simplify]: Simplify 0 into 0 11.885 * [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))))) 11.885 * [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))))) 11.886 * [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 11.886 * [taylor]: Taking taylor expansion of 0 in phi2 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [taylor]: Taking taylor expansion of 0 in lambda1 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [taylor]: Taking taylor expansion of 0 in lambda2 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [taylor]: Taking taylor expansion of 0 in R 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [taylor]: Taking taylor expansion of 0 in lambda1 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [taylor]: Taking taylor expansion of 0 in lambda2 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [taylor]: Taking taylor expansion of 0 in R 11.887 * [backup-simplify]: Simplify 0 into 0 11.887 * [backup-simplify]: Simplify 0 into 0 11.888 * [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 11.888 * [taylor]: Taking taylor expansion of 0 in lambda1 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [taylor]: Taking taylor expansion of 0 in lambda2 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [taylor]: Taking taylor expansion of 0 in R 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [taylor]: Taking taylor expansion of 0 in lambda2 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [taylor]: Taking taylor expansion of 0 in R 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [taylor]: Taking taylor expansion of 0 in lambda2 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [taylor]: Taking taylor expansion of 0 in R 11.888 * [backup-simplify]: Simplify 0 into 0 11.888 * [backup-simplify]: Simplify 0 into 0 11.889 * [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 11.889 * [taylor]: Taking taylor expansion of 0 in lambda2 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [taylor]: Taking taylor expansion of 0 in R 11.889 * [backup-simplify]: Simplify 0 into 0 11.889 * [backup-simplify]: Simplify 0 into 0 11.891 * [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)))))) 11.891 * [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) 11.891 * [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 11.891 * [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 11.891 * [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 11.892 * [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)))))))) 11.892 * [taylor]: Taking taylor expansion of R in R 11.892 * [backup-simplify]: Simplify 0 into 0 11.892 * [backup-simplify]: Simplify 1 into 1 11.893 * [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)))))))) 11.893 * [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 11.893 * [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 11.894 * [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)))))))) 11.894 * [taylor]: Taking taylor expansion of R in lambda2 11.894 * [backup-simplify]: Simplify R into R 11.895 * [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) 11.895 * [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 11.895 * [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 11.896 * [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)))))))) 11.896 * [taylor]: Taking taylor expansion of R in lambda1 11.896 * [backup-simplify]: Simplify R into R 11.896 * [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) 11.897 * [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 11.897 * [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 11.898 * [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)))))))) 11.898 * [taylor]: Taking taylor expansion of R in phi2 11.898 * [backup-simplify]: Simplify R into R 11.898 * [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) 11.899 * [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 11.899 * [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 11.899 * [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)))))))) 11.900 * [taylor]: Taking taylor expansion of R in phi1 11.900 * [backup-simplify]: Simplify R into R 11.900 * [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) 11.900 * [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 11.901 * [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 11.901 * [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)))))))) 11.901 * [taylor]: Taking taylor expansion of R in phi1 11.901 * [backup-simplify]: Simplify R into R 11.902 * [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) 11.902 * [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 11.902 * [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 11.903 * [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)))))))) 11.903 * [taylor]: Taking taylor expansion of R in phi2 11.903 * [backup-simplify]: Simplify R into R 11.904 * [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) 11.904 * [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 11.904 * [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 11.905 * [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)))))))) 11.905 * [taylor]: Taking taylor expansion of R in lambda1 11.905 * [backup-simplify]: Simplify R into R 11.906 * [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) 11.906 * [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 11.906 * [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 11.907 * [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)))))))) 11.907 * [taylor]: Taking taylor expansion of R in lambda2 11.907 * [backup-simplify]: Simplify R into R 11.907 * [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) 11.907 * [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 11.908 * [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 11.908 * [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)))))))) 11.908 * [taylor]: Taking taylor expansion of R in R 11.908 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify 1 into 1 11.909 * [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)))))))) 11.910 * [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)))))))) 11.911 * [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 11.911 * [taylor]: Taking taylor expansion of 0 in phi2 11.911 * [backup-simplify]: Simplify 0 into 0 11.911 * [taylor]: Taking taylor expansion of 0 in lambda1 11.911 * [backup-simplify]: Simplify 0 into 0 11.912 * [taylor]: Taking taylor expansion of 0 in lambda2 11.912 * [backup-simplify]: Simplify 0 into 0 11.912 * [taylor]: Taking taylor expansion of 0 in R 11.912 * [backup-simplify]: Simplify 0 into 0 11.912 * [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 11.913 * [taylor]: Taking taylor expansion of 0 in lambda1 11.913 * [backup-simplify]: Simplify 0 into 0 11.913 * [taylor]: Taking taylor expansion of 0 in lambda2 11.913 * [backup-simplify]: Simplify 0 into 0 11.913 * [taylor]: Taking taylor expansion of 0 in R 11.913 * [backup-simplify]: Simplify 0 into 0 11.914 * [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 11.914 * [taylor]: Taking taylor expansion of 0 in lambda2 11.914 * [backup-simplify]: Simplify 0 into 0 11.914 * [taylor]: Taking taylor expansion of 0 in R 11.914 * [backup-simplify]: Simplify 0 into 0 11.915 * [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 11.915 * [taylor]: Taking taylor expansion of 0 in R 11.915 * [backup-simplify]: Simplify 0 into 0 11.917 * [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 11.917 * [backup-simplify]: Simplify 0 into 0 11.918 * [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 11.918 * [taylor]: Taking taylor expansion of 0 in phi2 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [taylor]: Taking taylor expansion of 0 in lambda1 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [taylor]: Taking taylor expansion of 0 in lambda2 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [taylor]: Taking taylor expansion of 0 in R 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [taylor]: Taking taylor expansion of 0 in lambda1 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [taylor]: Taking taylor expansion of 0 in lambda2 11.918 * [backup-simplify]: Simplify 0 into 0 11.918 * [taylor]: Taking taylor expansion of 0 in R 11.918 * [backup-simplify]: Simplify 0 into 0 11.919 * [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 11.919 * [taylor]: Taking taylor expansion of 0 in lambda1 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [taylor]: Taking taylor expansion of 0 in lambda2 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [taylor]: Taking taylor expansion of 0 in R 11.919 * [backup-simplify]: Simplify 0 into 0 11.919 * [taylor]: Taking taylor expansion of 0 in lambda2 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [taylor]: Taking taylor expansion of 0 in R 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [taylor]: Taking taylor expansion of 0 in lambda2 11.920 * [backup-simplify]: Simplify 0 into 0 11.920 * [taylor]: Taking taylor expansion of 0 in R 11.920 * [backup-simplify]: Simplify 0 into 0 11.921 * [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 11.921 * [taylor]: Taking taylor expansion of 0 in lambda2 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [taylor]: Taking taylor expansion of 0 in R 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [taylor]: Taking taylor expansion of 0 in R 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [taylor]: Taking taylor expansion of 0 in R 11.921 * [backup-simplify]: Simplify 0 into 0 11.921 * [taylor]: Taking taylor expansion of 0 in R 11.921 * [backup-simplify]: Simplify 0 into 0 11.922 * [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 11.922 * [taylor]: Taking taylor expansion of 0 in R 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify 0 into 0 11.925 * [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 11.925 * [backup-simplify]: Simplify 0 into 0 11.927 * [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) 11.927 * [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)) 11.928 * [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 11.928 * [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 11.928 * [taylor]: Taking taylor expansion of -1 in R 11.928 * [backup-simplify]: Simplify -1 into -1 11.928 * [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 11.928 * [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 11.928 * [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)))))))) 11.928 * [taylor]: Taking taylor expansion of R in R 11.929 * [backup-simplify]: Simplify 0 into 0 11.929 * [backup-simplify]: Simplify 1 into 1 11.929 * [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)))))))) 11.929 * [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 11.929 * [taylor]: Taking taylor expansion of -1 in lambda2 11.929 * [backup-simplify]: Simplify -1 into -1 11.929 * [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 11.929 * [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 11.929 * [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)))))))) 11.929 * [taylor]: Taking taylor expansion of R in lambda2 11.930 * [backup-simplify]: Simplify R into R 11.930 * [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) 11.930 * [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 11.930 * [taylor]: Taking taylor expansion of -1 in lambda1 11.930 * [backup-simplify]: Simplify -1 into -1 11.930 * [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 11.930 * [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 11.930 * [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)))))))) 11.930 * [taylor]: Taking taylor expansion of R in lambda1 11.930 * [backup-simplify]: Simplify R into R 11.931 * [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) 11.931 * [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 11.931 * [taylor]: Taking taylor expansion of -1 in phi2 11.931 * [backup-simplify]: Simplify -1 into -1 11.931 * [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 11.931 * [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 11.931 * [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)))))))) 11.931 * [taylor]: Taking taylor expansion of R in phi2 11.931 * [backup-simplify]: Simplify R into R 11.932 * [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) 11.932 * [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 11.932 * [taylor]: Taking taylor expansion of -1 in phi1 11.932 * [backup-simplify]: Simplify -1 into -1 11.932 * [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 11.932 * [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 11.932 * [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)))))))) 11.933 * [taylor]: Taking taylor expansion of R in phi1 11.933 * [backup-simplify]: Simplify R into R 11.933 * [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) 11.933 * [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 11.933 * [taylor]: Taking taylor expansion of -1 in phi1 11.933 * [backup-simplify]: Simplify -1 into -1 11.933 * [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 11.933 * [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 11.933 * [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)))))))) 11.933 * [taylor]: Taking taylor expansion of R in phi1 11.933 * [backup-simplify]: Simplify R into R 11.934 * [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) 11.934 * [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)) 11.934 * [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 11.934 * [taylor]: Taking taylor expansion of -1 in phi2 11.934 * [backup-simplify]: Simplify -1 into -1 11.934 * [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 11.935 * [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 11.935 * [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)))))))) 11.935 * [taylor]: Taking taylor expansion of R in phi2 11.935 * [backup-simplify]: Simplify R into R 11.935 * [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) 11.936 * [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)) 11.936 * [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 11.936 * [taylor]: Taking taylor expansion of -1 in lambda1 11.936 * [backup-simplify]: Simplify -1 into -1 11.936 * [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 11.936 * [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 11.936 * [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)))))))) 11.936 * [taylor]: Taking taylor expansion of R in lambda1 11.936 * [backup-simplify]: Simplify R into R 11.937 * [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) 11.937 * [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)) 11.937 * [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 11.937 * [taylor]: Taking taylor expansion of -1 in lambda2 11.937 * [backup-simplify]: Simplify -1 into -1 11.937 * [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 11.937 * [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 11.938 * [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)))))))) 11.938 * [taylor]: Taking taylor expansion of R in lambda2 11.938 * [backup-simplify]: Simplify R into R 11.938 * [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) 11.939 * [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)) 11.939 * [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 11.939 * [taylor]: Taking taylor expansion of -1 in R 11.939 * [backup-simplify]: Simplify -1 into -1 11.939 * [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 11.939 * [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 11.939 * [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)))))))) 11.939 * [taylor]: Taking taylor expansion of R in R 11.939 * [backup-simplify]: Simplify 0 into 0 11.939 * [backup-simplify]: Simplify 1 into 1 11.940 * [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)))))))) 11.940 * [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))))))))) 11.941 * [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))))))))) 11.941 * [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 11.942 * [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 11.942 * [taylor]: Taking taylor expansion of 0 in phi2 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in lambda1 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in lambda2 11.942 * [backup-simplify]: Simplify 0 into 0 11.942 * [taylor]: Taking taylor expansion of 0 in R 11.942 * [backup-simplify]: Simplify 0 into 0 11.943 * [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 11.943 * [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 11.944 * [taylor]: Taking taylor expansion of 0 in lambda1 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [taylor]: Taking taylor expansion of 0 in lambda2 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [taylor]: Taking taylor expansion of 0 in R 11.944 * [backup-simplify]: Simplify 0 into 0 11.944 * [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 11.945 * [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 11.945 * [taylor]: Taking taylor expansion of 0 in lambda2 11.945 * [backup-simplify]: Simplify 0 into 0 11.945 * [taylor]: Taking taylor expansion of 0 in R 11.945 * [backup-simplify]: Simplify 0 into 0 11.945 * [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 11.946 * [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 11.946 * [taylor]: Taking taylor expansion of 0 in R 11.946 * [backup-simplify]: Simplify 0 into 0 11.947 * [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 11.948 * [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 11.948 * [backup-simplify]: Simplify 0 into 0 11.949 * [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 11.950 * [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 11.950 * [taylor]: Taking taylor expansion of 0 in phi2 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [taylor]: Taking taylor expansion of 0 in lambda1 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [taylor]: Taking taylor expansion of 0 in lambda2 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [taylor]: Taking taylor expansion of 0 in R 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [taylor]: Taking taylor expansion of 0 in lambda1 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [taylor]: Taking taylor expansion of 0 in lambda2 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [taylor]: Taking taylor expansion of 0 in R 11.950 * [backup-simplify]: Simplify 0 into 0 11.950 * [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 11.951 * [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 11.951 * [taylor]: Taking taylor expansion of 0 in lambda1 11.951 * [backup-simplify]: Simplify 0 into 0 11.951 * [taylor]: Taking taylor expansion of 0 in lambda2 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [taylor]: Taking taylor expansion of 0 in R 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [taylor]: Taking taylor expansion of 0 in lambda2 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [taylor]: Taking taylor expansion of 0 in R 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [taylor]: Taking taylor expansion of 0 in lambda2 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [taylor]: Taking taylor expansion of 0 in R 11.952 * [backup-simplify]: Simplify 0 into 0 11.952 * [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 11.953 * [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 11.953 * [taylor]: Taking taylor expansion of 0 in lambda2 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [taylor]: Taking taylor expansion of 0 in R 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [taylor]: Taking taylor expansion of 0 in R 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [taylor]: Taking taylor expansion of 0 in R 11.953 * [backup-simplify]: Simplify 0 into 0 11.953 * [taylor]: Taking taylor expansion of 0 in R 11.953 * [backup-simplify]: Simplify 0 into 0 11.954 * [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 11.955 * [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 11.955 * [taylor]: Taking taylor expansion of 0 in R 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.955 * [backup-simplify]: Simplify 0 into 0 11.956 * [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 11.957 * [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 11.957 * [backup-simplify]: Simplify 0 into 0 11.958 * [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)))))) 11.958 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 2 1 1) 11.959 * [backup-simplify]: Simplify (* (sin lambda1) (sin lambda2)) into (* (sin lambda1) (sin lambda2)) 11.959 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 11.959 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 11.959 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 11.959 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.959 * [backup-simplify]: Simplify lambda1 into lambda1 11.959 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 11.959 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 11.959 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.959 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.959 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.959 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.959 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.959 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.959 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.959 * [backup-simplify]: Simplify lambda2 into lambda2 11.959 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 11.959 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 11.959 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 11.959 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 11.959 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.959 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 11.959 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.959 * [backup-simplify]: Simplify lambda2 into lambda2 11.959 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 11.959 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 11.959 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 11.959 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 11.959 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 11.959 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 11.959 * [taylor]: Taking taylor expansion of 0 in lambda2 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 0 into 0 11.960 * [backup-simplify]: Simplify (+ 0) into 0 11.960 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 11.960 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.961 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 11.961 * [backup-simplify]: Simplify (+ 0 0) into 0 11.962 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.962 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 11.962 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.962 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.962 * [backup-simplify]: Simplify 0 into 0 11.962 * [backup-simplify]: Simplify 1 into 1 11.963 * [backup-simplify]: Simplify 0 into 0 11.963 * [backup-simplify]: Simplify 0 into 0 11.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.964 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 11.965 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.965 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 11.966 * [backup-simplify]: Simplify (+ 0 0) into 0 11.967 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 11.968 * [taylor]: Taking taylor expansion of 0 in lambda2 11.968 * [backup-simplify]: Simplify 0 into 0 11.968 * [backup-simplify]: Simplify 0 into 0 11.968 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 11.968 * [backup-simplify]: Simplify 1 into 1 11.968 * [backup-simplify]: Simplify 0 into 0 11.969 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 11.970 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.972 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 11.973 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 11.973 * [backup-simplify]: Simplify (+ 0 0) into 0 11.975 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 11.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 11.978 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 11.979 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 11.979 * [taylor]: Taking taylor expansion of 1/6 in lambda2 11.979 * [backup-simplify]: Simplify 1/6 into 1/6 11.979 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 11.979 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.979 * [backup-simplify]: Simplify 0 into 0 11.979 * [backup-simplify]: Simplify 1 into 1 11.979 * [backup-simplify]: Simplify (* 1/6 0) into 0 11.980 * [backup-simplify]: Simplify (- 0) into 0 11.980 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.980 * [backup-simplify]: Simplify 0 into 0 11.981 * [backup-simplify]: Simplify 0 into 0 11.983 * [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 11.984 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.985 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.986 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 11.987 * [backup-simplify]: Simplify (+ 0 0) into 0 11.988 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 11.989 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 11.989 * [taylor]: Taking taylor expansion of 0 in lambda2 11.989 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify 0 into 0 11.989 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 11.990 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.990 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 11.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 11.990 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.990 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.990 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.990 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify 1 into 1 11.990 * [backup-simplify]: Simplify (/ 1 1) into 1 11.990 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.990 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.990 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.990 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.990 * [backup-simplify]: Simplify lambda1 into lambda1 11.990 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 11.990 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.990 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 11.990 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 11.990 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.990 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.990 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.990 * [backup-simplify]: Simplify lambda2 into lambda2 11.990 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 11.990 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.990 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 11.990 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.990 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.990 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.990 * [backup-simplify]: Simplify 0 into 0 11.990 * [backup-simplify]: Simplify 1 into 1 11.991 * [backup-simplify]: Simplify (/ 1 1) into 1 11.991 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.991 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 11.991 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 11.991 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 11.991 * [taylor]: Taking taylor expansion of lambda2 in lambda1 11.991 * [backup-simplify]: Simplify lambda2 into lambda2 11.991 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 11.991 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.991 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 11.991 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 11.991 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 11.991 * [taylor]: Taking taylor expansion of lambda1 in lambda1 11.991 * [backup-simplify]: Simplify 0 into 0 11.991 * [backup-simplify]: Simplify 1 into 1 11.991 * [backup-simplify]: Simplify (/ 1 1) into 1 11.991 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.991 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 11.991 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 11.992 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 11.992 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.992 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 11.992 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 11.992 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 11.992 * [taylor]: Taking taylor expansion of lambda2 in lambda2 11.992 * [backup-simplify]: Simplify 0 into 0 11.992 * [backup-simplify]: Simplify 1 into 1 11.992 * [backup-simplify]: Simplify (/ 1 1) into 1 11.992 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 11.992 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 11.992 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 11.992 * [taylor]: Taking taylor expansion of lambda1 in lambda2 11.992 * [backup-simplify]: Simplify lambda1 into lambda1 11.992 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 11.992 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 11.992 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 11.992 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 11.992 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 11.992 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 11.992 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.992 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 11.993 * [backup-simplify]: Simplify (+ 0) into 0 11.993 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 11.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 11.994 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.994 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 11.994 * [backup-simplify]: Simplify (+ 0 0) into 0 11.994 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 11.994 * [taylor]: Taking taylor expansion of 0 in lambda2 11.994 * [backup-simplify]: Simplify 0 into 0 11.994 * [backup-simplify]: Simplify 0 into 0 11.995 * [backup-simplify]: Simplify (+ 0) into 0 11.995 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 11.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 11.995 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 11.996 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 11.996 * [backup-simplify]: Simplify (+ 0 0) into 0 11.996 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 11.996 * [backup-simplify]: Simplify 0 into 0 11.997 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 11.997 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 11.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 11.998 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 11.998 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 11.999 * [backup-simplify]: Simplify (+ 0 0) into 0 11.999 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 11.999 * [taylor]: Taking taylor expansion of 0 in lambda2 11.999 * [backup-simplify]: Simplify 0 into 0 11.999 * [backup-simplify]: Simplify 0 into 0 11.999 * [backup-simplify]: Simplify 0 into 0 12.000 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.000 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 12.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 12.001 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.001 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 12.001 * [backup-simplify]: Simplify (+ 0 0) into 0 12.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 12.002 * [backup-simplify]: Simplify 0 into 0 12.002 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.003 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 12.004 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.004 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.004 * [backup-simplify]: Simplify (+ 0 0) into 0 12.005 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 12.005 * [taylor]: Taking taylor expansion of 0 in lambda2 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify 0 into 0 12.005 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 12.005 * [backup-simplify]: Simplify (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 12.005 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 12.005 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 12.005 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 12.005 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 12.005 * [taylor]: Taking taylor expansion of -1 in lambda2 12.005 * [backup-simplify]: Simplify -1 into -1 12.005 * [taylor]: Taking taylor expansion of lambda1 in lambda2 12.005 * [backup-simplify]: Simplify lambda1 into lambda1 12.005 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 12.005 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 12.005 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 12.005 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 12.005 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 12.005 * [taylor]: Taking taylor expansion of -1 in lambda2 12.006 * [backup-simplify]: Simplify -1 into -1 12.006 * [taylor]: Taking taylor expansion of lambda2 in lambda2 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 1 into 1 12.006 * [backup-simplify]: Simplify (/ -1 1) into -1 12.006 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 12.006 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 12.006 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 12.006 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 12.006 * [taylor]: Taking taylor expansion of -1 in lambda1 12.006 * [backup-simplify]: Simplify -1 into -1 12.006 * [taylor]: Taking taylor expansion of lambda1 in lambda1 12.006 * [backup-simplify]: Simplify 0 into 0 12.006 * [backup-simplify]: Simplify 1 into 1 12.006 * [backup-simplify]: Simplify (/ -1 1) into -1 12.006 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 12.006 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 12.006 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 12.006 * [taylor]: Taking taylor expansion of -1 in lambda1 12.007 * [backup-simplify]: Simplify -1 into -1 12.007 * [taylor]: Taking taylor expansion of lambda2 in lambda1 12.007 * [backup-simplify]: Simplify lambda2 into lambda2 12.007 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 12.007 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 12.007 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 12.007 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 12.007 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 12.007 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 12.007 * [taylor]: Taking taylor expansion of -1 in lambda1 12.007 * [backup-simplify]: Simplify -1 into -1 12.007 * [taylor]: Taking taylor expansion of lambda1 in lambda1 12.007 * [backup-simplify]: Simplify 0 into 0 12.007 * [backup-simplify]: Simplify 1 into 1 12.007 * [backup-simplify]: Simplify (/ -1 1) into -1 12.007 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 12.007 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 12.007 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 12.007 * [taylor]: Taking taylor expansion of -1 in lambda1 12.007 * [backup-simplify]: Simplify -1 into -1 12.007 * [taylor]: Taking taylor expansion of lambda2 in lambda1 12.007 * [backup-simplify]: Simplify lambda2 into lambda2 12.007 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 12.007 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 12.007 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 12.007 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 12.007 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 12.008 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 12.008 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 12.008 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 12.008 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 12.008 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 12.008 * [taylor]: Taking taylor expansion of -1 in lambda2 12.008 * [backup-simplify]: Simplify -1 into -1 12.008 * [taylor]: Taking taylor expansion of lambda1 in lambda2 12.008 * [backup-simplify]: Simplify lambda1 into lambda1 12.008 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 12.008 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 12.008 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 12.008 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 12.008 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 12.008 * [taylor]: Taking taylor expansion of -1 in lambda2 12.008 * [backup-simplify]: Simplify -1 into -1 12.008 * [taylor]: Taking taylor expansion of lambda2 in lambda2 12.008 * [backup-simplify]: Simplify 0 into 0 12.008 * [backup-simplify]: Simplify 1 into 1 12.008 * [backup-simplify]: Simplify (/ -1 1) into -1 12.008 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 12.008 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 12.008 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 12.008 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 12.008 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 12.009 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 12.009 * [backup-simplify]: Simplify (+ 0) into 0 12.009 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 12.009 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 12.010 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.010 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 12.010 * [backup-simplify]: Simplify (+ 0 0) into 0 12.010 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 12.010 * [taylor]: Taking taylor expansion of 0 in lambda2 12.010 * [backup-simplify]: Simplify 0 into 0 12.010 * [backup-simplify]: Simplify 0 into 0 12.011 * [backup-simplify]: Simplify (+ 0) into 0 12.011 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 12.011 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 12.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 12.012 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 12.012 * [backup-simplify]: Simplify (+ 0 0) into 0 12.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 12.012 * [backup-simplify]: Simplify 0 into 0 12.013 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.013 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 12.013 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 12.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.014 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 12.015 * [backup-simplify]: Simplify (+ 0 0) into 0 12.015 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 12.015 * [taylor]: Taking taylor expansion of 0 in lambda2 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify 0 into 0 12.015 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 12.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 12.016 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 12.017 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 12.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 12.017 * [backup-simplify]: Simplify (+ 0 0) into 0 12.017 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 12.017 * [backup-simplify]: Simplify 0 into 0 12.018 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 12.018 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.019 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 12.019 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 12.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 12.020 * [backup-simplify]: Simplify (+ 0 0) into 0 12.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 12.021 * [taylor]: Taking taylor expansion of 0 in lambda2 12.021 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify 0 into 0 12.021 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 12.021 * * * [progress]: simplifying candidates 12.021 * * * * [progress]: [ 1 / 75 ] simplifiying candidate # 12.021 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 12.021 * * [simplify]: iters left: 6 (9 enodes) 12.023 * * [simplify]: iters left: 5 (32 enodes) 12.028 * * [simplify]: iters left: 4 (42 enodes) 12.034 * * [simplify]: iters left: 3 (55 enodes) 12.047 * * [simplify]: iters left: 2 (82 enodes) 12.070 * * [simplify]: iters left: 1 (147 enodes) 12.108 * * [simplify]: Extracting #0: cost 1 inf + 0 12.108 * * [simplify]: Extracting #1: cost 4 inf + 0 12.108 * * [simplify]: Extracting #2: cost 7 inf + 0 12.108 * * [simplify]: Extracting #3: cost 9 inf + 0 12.108 * * [simplify]: Extracting #4: cost 29 inf + 0 12.108 * * [simplify]: Extracting #5: cost 81 inf + 1 12.109 * * [simplify]: Extracting #6: cost 88 inf + 728 12.111 * * [simplify]: Extracting #7: cost 51 inf + 7790 12.116 * * [simplify]: Extracting #8: cost 10 inf + 27988 12.123 * * [simplify]: Extracting #9: cost 0 inf + 35489 12.129 * * [simplify]: Extracting #10: cost 0 inf + 35027 12.133 * * [simplify]: Extracting #11: cost 0 inf + 34987 12.136 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 12.136 * [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)) 12.137 * * * * [progress]: [ 2 / 75 ] simplifiying candidate # 12.137 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 12.137 * * [simplify]: iters left: 6 (8 enodes) 12.138 * * [simplify]: iters left: 5 (27 enodes) 12.142 * * [simplify]: iters left: 4 (35 enodes) 12.147 * * [simplify]: iters left: 3 (49 enodes) 12.154 * * [simplify]: iters left: 2 (76 enodes) 12.167 * * [simplify]: iters left: 1 (141 enodes) 12.197 * * [simplify]: Extracting #0: cost 1 inf + 0 12.197 * * [simplify]: Extracting #1: cost 3 inf + 0 12.197 * * [simplify]: Extracting #2: cost 6 inf + 0 12.197 * * [simplify]: Extracting #3: cost 31 inf + 0 12.198 * * [simplify]: Extracting #4: cost 85 inf + 1 12.198 * * [simplify]: Extracting #5: cost 85 inf + 1064 12.199 * * [simplify]: Extracting #6: cost 53 inf + 5478 12.201 * * [simplify]: Extracting #7: cost 20 inf + 18813 12.204 * * [simplify]: Extracting #8: cost 1 inf + 30565 12.211 * * [simplify]: Extracting #9: cost 0 inf + 30837 12.218 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 12.218 * [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)) 12.218 * * * * [progress]: [ 3 / 75 ] simplifiying candidate # 12.218 * [simplify]: Simplifying (log 1) 12.218 * * [simplify]: iters left: 1 (2 enodes) 12.221 * * [simplify]: Extracting #0: cost 1 inf + 0 12.221 * * [simplify]: Extracting #1: cost 0 inf + 1 12.221 * [simplify]: Simplified to 0 12.221 * [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)) 12.221 * * * * [progress]: [ 4 / 75 ] simplifiying candidate # 12.222 * [simplify]: Simplifying (sin lambda2) 12.222 * * [simplify]: iters left: 1 (2 enodes) 12.222 * * [simplify]: Extracting #0: cost 1 inf + 0 12.222 * * [simplify]: Extracting #1: cost 3 inf + 0 12.223 * * [simplify]: Extracting #2: cost 2 inf + 1 12.223 * * [simplify]: Extracting #3: cost 0 inf + 123 12.223 * [simplify]: Simplified to (sin lambda2) 12.223 * [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)) 12.223 * * * * [progress]: [ 5 / 75 ] simplifiying candidate # 12.223 * * * * [progress]: [ 6 / 75 ] simplifiying candidate # 12.223 * [simplify]: Simplifying (sin lambda2) 12.223 * * [simplify]: iters left: 1 (2 enodes) 12.224 * * [simplify]: Extracting #0: cost 1 inf + 0 12.224 * * [simplify]: Extracting #1: cost 3 inf + 0 12.224 * * [simplify]: Extracting #2: cost 2 inf + 1 12.224 * * [simplify]: Extracting #3: cost 0 inf + 123 12.224 * [simplify]: Simplified to (sin lambda2) 12.224 * [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)) 12.225 * * * * [progress]: [ 7 / 75 ] simplifiying candidate # 12.225 * * * * [progress]: [ 8 / 75 ] simplifiying candidate # 12.225 * [simplify]: Simplifying (sin lambda1) 12.225 * * [simplify]: iters left: 1 (2 enodes) 12.226 * * [simplify]: Extracting #0: cost 1 inf + 0 12.226 * * [simplify]: Extracting #1: cost 3 inf + 0 12.226 * * [simplify]: Extracting #2: cost 2 inf + 1 12.226 * * [simplify]: Extracting #3: cost 0 inf + 123 12.226 * [simplify]: Simplified to (sin lambda1) 12.226 * [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)) 12.226 * * * * [progress]: [ 9 / 75 ] simplifiying candidate # 12.226 * * * * [progress]: [ 10 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 11 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 12 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 13 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 14 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 15 / 75 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))> 12.227 * * * * [progress]: [ 16 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 17 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 18 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 19 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 20 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 21 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 22 / 75 ] simplifiying candidate # 12.227 * * * * [progress]: [ 23 / 75 ] simplifiying candidate # 12.228 * * * * [progress]: [ 24 / 75 ] 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))> 12.228 * * * * [progress]: [ 25 / 75 ] simplifiying candidate # 12.228 * [simplify]: Simplifying (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) R) 12.228 * * [simplify]: iters left: 6 (24 enodes) 12.238 * * [simplify]: iters left: 5 (88 enodes) 12.266 * * [simplify]: iters left: 4 (160 enodes) 12.327 * * [simplify]: iters left: 3 (285 enodes) 12.387 * * [simplify]: iters left: 2 (432 enodes) 12.496 * * [simplify]: Extracting #0: cost 1 inf + 0 12.496 * * [simplify]: Extracting #1: cost 4 inf + 0 12.496 * * [simplify]: Extracting #2: cost 5 inf + 1 12.496 * * [simplify]: Extracting #3: cost 14 inf + 1 12.497 * * [simplify]: Extracting #4: cost 65 inf + 1 12.497 * * [simplify]: Extracting #5: cost 135 inf + 1 12.499 * * [simplify]: Extracting #6: cost 146 inf + 1334 12.502 * * [simplify]: Extracting #7: cost 105 inf + 11046 12.512 * * [simplify]: Extracting #8: cost 46 inf + 32062 12.520 * * [simplify]: Extracting #9: cost 9 inf + 47774 12.528 * * [simplify]: Extracting #10: cost 0 inf + 53868 12.537 * * [simplify]: Extracting #11: cost 0 inf + 53708 12.546 * [simplify]: Simplified to (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) 12.546 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) 1)) 12.546 * * * * [progress]: [ 26 / 75 ] simplifiying candidate # 12.546 * * * * [progress]: [ 27 / 75 ] simplifiying candidate # 12.547 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) 12.547 * * [simplify]: iters left: 6 (26 enodes) 12.558 * * [simplify]: iters left: 5 (94 enodes) 12.592 * * [simplify]: iters left: 4 (166 enodes) 12.632 * * [simplify]: iters left: 3 (290 enodes) 12.701 * * [simplify]: iters left: 2 (437 enodes) 12.853 * * [simplify]: Extracting #0: cost 1 inf + 0 12.853 * * [simplify]: Extracting #1: cost 4 inf + 0 12.853 * * [simplify]: Extracting #2: cost 8 inf + 0 12.853 * * [simplify]: Extracting #3: cost 8 inf + 72 12.854 * * [simplify]: Extracting #4: cost 16 inf + 143 12.854 * * [simplify]: Extracting #5: cost 67 inf + 143 12.855 * * [simplify]: Extracting #6: cost 137 inf + 143 12.856 * * [simplify]: Extracting #7: cost 148 inf + 1781 12.858 * * [simplify]: Extracting #8: cost 96 inf + 14358 12.864 * * [simplify]: Extracting #9: cost 44 inf + 36529 12.873 * * [simplify]: Extracting #10: cost 1 inf + 56398 12.884 * * [simplify]: Extracting #11: cost 0 inf + 56581 12.893 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 12.893 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 12.893 * * * * [progress]: [ 28 / 75 ] simplifiying candidate # 12.893 * * * * [progress]: [ 29 / 75 ] simplifiying candidate # 12.893 * * * * [progress]: [ 30 / 75 ] simplifiying candidate # 12.893 * [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)) 12.893 * * [simplify]: iters left: 6 (28 enodes) 12.899 * * [simplify]: iters left: 5 (106 enodes) 12.917 * * [simplify]: iters left: 4 (207 enodes) 12.993 * * [simplify]: iters left: 3 (388 enodes) 13.109 * * [simplify]: Extracting #0: cost 1 inf + 0 13.110 * * [simplify]: Extracting #1: cost 31 inf + 0 13.110 * * [simplify]: Extracting #2: cost 58 inf + 1 13.110 * * [simplify]: Extracting #3: cost 62 inf + 256 13.110 * * [simplify]: Extracting #4: cost 115 inf + 672 13.111 * * [simplify]: Extracting #5: cost 159 inf + 884 13.112 * * [simplify]: Extracting #6: cost 160 inf + 1761 13.113 * * [simplify]: Extracting #7: cost 136 inf + 7284 13.117 * * [simplify]: Extracting #8: cost 68 inf + 31797 13.124 * * [simplify]: Extracting #9: cost 42 inf + 46999 13.137 * * [simplify]: Extracting #10: cost 6 inf + 84210 13.153 * * [simplify]: Extracting #11: cost 0 inf + 89228 13.173 * * [simplify]: Extracting #12: cost 0 inf + 89149 13.204 * [simplify]: Simplified to (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R))) 13.204 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R) (* (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))) R))))) 13.204 * * * * [progress]: [ 31 / 75 ] simplifiying candidate # 13.204 * * * * [progress]: [ 32 / 75 ] simplifiying candidate # 13.205 * * * * [progress]: [ 33 / 75 ] simplifiying candidate # 13.205 * * * * [progress]: [ 34 / 75 ] simplifiying candidate # 13.205 * * * * [progress]: [ 35 / 75 ] simplifiying candidate # 13.205 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 13.205 * * [simplify]: iters left: 6 (26 enodes) 13.216 * * [simplify]: iters left: 5 (94 enodes) 13.231 * * [simplify]: iters left: 4 (166 enodes) 13.269 * * [simplify]: iters left: 3 (290 enodes) 13.341 * * [simplify]: iters left: 2 (437 enodes) 13.507 * * [simplify]: Extracting #0: cost 1 inf + 0 13.507 * * [simplify]: Extracting #1: cost 4 inf + 0 13.507 * * [simplify]: Extracting #2: cost 8 inf + 0 13.507 * * [simplify]: Extracting #3: cost 8 inf + 42 13.507 * * [simplify]: Extracting #4: cost 16 inf + 83 13.508 * * [simplify]: Extracting #5: cost 67 inf + 83 13.509 * * [simplify]: Extracting #6: cost 137 inf + 83 13.510 * * [simplify]: Extracting #7: cost 148 inf + 1721 13.514 * * [simplify]: Extracting #8: cost 96 inf + 14298 13.525 * * [simplify]: Extracting #9: cost 44 inf + 36379 13.542 * * [simplify]: Extracting #10: cost 1 inf + 56158 13.560 * * [simplify]: Extracting #11: cost 0 inf + 56341 13.576 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 13.577 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)))) 13.577 * [simplify]: Simplifying (* (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (sqrt R)) 13.577 * * [simplify]: iters left: 6 (26 enodes) 13.588 * * [simplify]: iters left: 5 (94 enodes) 13.619 * * [simplify]: iters left: 4 (166 enodes) 13.663 * * [simplify]: iters left: 3 (290 enodes) 13.746 * * [simplify]: iters left: 2 (437 enodes) 13.876 * * [simplify]: Extracting #0: cost 1 inf + 0 13.876 * * [simplify]: Extracting #1: cost 4 inf + 0 13.876 * * [simplify]: Extracting #2: cost 8 inf + 0 13.876 * * [simplify]: Extracting #3: cost 8 inf + 42 13.876 * * [simplify]: Extracting #4: cost 16 inf + 83 13.877 * * [simplify]: Extracting #5: cost 67 inf + 83 13.877 * * [simplify]: Extracting #6: cost 137 inf + 83 13.879 * * [simplify]: Extracting #7: cost 148 inf + 1721 13.883 * * [simplify]: Extracting #8: cost 96 inf + 14298 13.894 * * [simplify]: Extracting #9: cost 44 inf + 36379 13.910 * * [simplify]: Extracting #10: cost 1 inf + 56158 13.927 * * [simplify]: Extracting #11: cost 0 inf + 56341 13.944 * [simplify]: Simplified to (* (sqrt R) (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 13.945 * [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 (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 13.945 * * * * [progress]: [ 36 / 75 ] simplifiying candidate # 13.945 * [simplify]: Simplifying (cbrt R) 13.945 * * [simplify]: iters left: 1 (2 enodes) 13.946 * * [simplify]: Extracting #0: cost 1 inf + 0 13.946 * * [simplify]: Extracting #1: cost 3 inf + 0 13.946 * * [simplify]: Extracting #2: cost 2 inf + 1 13.946 * * [simplify]: Extracting #3: cost 0 inf + 163 13.946 * [simplify]: Simplified to (cbrt R) 13.947 * [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))) 13.947 * * * * [progress]: [ 37 / 75 ] simplifiying candidate # 13.947 * [simplify]: Simplifying (sqrt R) 13.947 * * [simplify]: iters left: 1 (2 enodes) 13.948 * * [simplify]: Extracting #0: cost 1 inf + 0 13.948 * * [simplify]: Extracting #1: cost 3 inf + 0 13.948 * * [simplify]: Extracting #2: cost 2 inf + 1 13.948 * * [simplify]: Extracting #3: cost 0 inf + 83 13.948 * [simplify]: Simplified to (sqrt R) 13.948 * [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))) 13.948 * * * * [progress]: [ 38 / 75 ] simplifiying candidate # 13.948 * * * * [progress]: [ 39 / 75 ] simplifiying candidate # 13.949 * [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)))))))))) 13.949 * * [simplify]: iters left: 6 (24 enodes) 13.960 * * [simplify]: iters left: 5 (87 enodes) 13.991 * * [simplify]: iters left: 4 (159 enodes) 14.026 * * [simplify]: iters left: 3 (284 enodes) 14.126 * * [simplify]: iters left: 2 (431 enodes) 14.221 * * [simplify]: Extracting #0: cost 1 inf + 0 14.221 * * [simplify]: Extracting #1: cost 3 inf + 0 14.221 * * [simplify]: Extracting #2: cost 5 inf + 0 14.221 * * [simplify]: Extracting #3: cost 7 inf + 0 14.221 * * [simplify]: Extracting #4: cost 16 inf + 0 14.222 * * [simplify]: Extracting #5: cost 67 inf + 0 14.222 * * [simplify]: Extracting #6: cost 137 inf + 0 14.223 * * [simplify]: Extracting #7: cost 147 inf + 1334 14.225 * * [simplify]: Extracting #8: cost 91 inf + 14640 14.233 * * [simplify]: Extracting #9: cost 33 inf + 38011 14.249 * * [simplify]: Extracting #10: cost 6 inf + 51638 14.269 * * [simplify]: Extracting #11: cost 1 inf + 55239 14.286 * * [simplify]: Extracting #12: cost 0 inf + 56213 14.303 * [simplify]: Simplified to (* (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) 14.303 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1))))) (cbrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (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))) 14.304 * * * * [progress]: [ 40 / 75 ] simplifiying candidate # 14.304 * [simplify]: Simplifying (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) 14.304 * * [simplify]: iters left: 6 (23 enodes) 14.311 * * [simplify]: iters left: 5 (84 enodes) 14.324 * * [simplify]: iters left: 4 (156 enodes) 14.362 * * [simplify]: iters left: 3 (282 enodes) 14.442 * * [simplify]: iters left: 2 (433 enodes) 14.526 * * [simplify]: Extracting #0: cost 1 inf + 0 14.526 * * [simplify]: Extracting #1: cost 3 inf + 0 14.526 * * [simplify]: Extracting #2: cost 5 inf + 0 14.526 * * [simplify]: Extracting #3: cost 12 inf + 0 14.526 * * [simplify]: Extracting #4: cost 57 inf + 0 14.528 * * [simplify]: Extracting #5: cost 125 inf + 0 14.529 * * [simplify]: Extracting #6: cost 143 inf + 1354 14.532 * * [simplify]: Extracting #7: cost 90 inf + 18219 14.538 * * [simplify]: Extracting #8: cost 22 inf + 43446 14.546 * * [simplify]: Extracting #9: cost 2 inf + 53170 14.555 * * [simplify]: Extracting #10: cost 0 inf + 53613 14.564 * * [simplify]: Extracting #11: cost 0 inf + 53573 14.576 * [simplify]: Simplified to (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) 14.576 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (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))) 14.576 * * * * [progress]: [ 41 / 75 ] simplifiying candidate # 14.576 * * * * [progress]: [ 42 / 75 ] 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))))> 14.576 * * * * [progress]: [ 43 / 75 ] simplifiying candidate # 14.577 * * * * [progress]: [ 44 / 75 ] simplifiying candidate # 14.577 * [simplify]: Simplifying (- (cos (- lambda1 lambda2)) (cos (+ lambda1 lambda2))) 14.577 * * [simplify]: iters left: 5 (7 enodes) 14.580 * * [simplify]: iters left: 4 (26 enodes) 14.587 * * [simplify]: iters left: 3 (32 enodes) 14.595 * * [simplify]: Extracting #0: cost 1 inf + 0 14.595 * * [simplify]: Extracting #1: cost 5 inf + 0 14.595 * * [simplify]: Extracting #2: cost 10 inf + 0 14.596 * * [simplify]: Extracting #3: cost 15 inf + 0 14.596 * * [simplify]: Extracting #4: cost 13 inf + 43 14.596 * * [simplify]: Extracting #5: cost 4 inf + 800 14.596 * * [simplify]: Extracting #6: cost 1 inf + 1186 14.597 * * [simplify]: Extracting #7: cost 0 inf + 1428 14.597 * [simplify]: Simplified to (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 14.598 * [simplify]: Simplified (2 1 1 2 2 2 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 (/ (- (cos (- lambda1 lambda2)) (cos (+ lambda2 lambda1))) 2))))))) R)) 14.598 * * * * [progress]: [ 45 / 75 ] simplifiying candidate # 14.598 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 14.598 * * [simplify]: iters left: 3 (5 enodes) 14.600 * * [simplify]: iters left: 2 (16 enodes) 14.604 * * [simplify]: Extracting #0: cost 1 inf + 0 14.605 * * [simplify]: Extracting #1: cost 4 inf + 0 14.605 * * [simplify]: Extracting #2: cost 8 inf + 0 14.605 * * [simplify]: Extracting #3: cost 4 inf + 124 14.605 * * [simplify]: Extracting #4: cost 0 inf + 570 14.605 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 14.605 * [simplify]: Simplified (2 1 1 2 2 2 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 (pow (* (sin lambda2) (sin lambda1)) 1))))))) R)) 14.606 * * * * [progress]: [ 46 / 75 ] simplifiying candidate # 14.606 * * * * [progress]: [ 47 / 75 ] simplifiying candidate # 14.606 * [simplify]: Simplifying (+ (log (sin lambda1)) (log (sin lambda2))) 14.606 * * [simplify]: iters left: 4 (7 enodes) 14.609 * * [simplify]: iters left: 3 (22 enodes) 14.615 * * [simplify]: Extracting #0: cost 1 inf + 0 14.615 * * [simplify]: Extracting #1: cost 4 inf + 0 14.615 * * [simplify]: Extracting #2: cost 8 inf + 0 14.615 * * [simplify]: Extracting #3: cost 12 inf + 0 14.615 * * [simplify]: Extracting #4: cost 10 inf + 2 14.615 * * [simplify]: Extracting #5: cost 4 inf + 508 14.615 * * [simplify]: Extracting #6: cost 1 inf + 1072 14.616 * * [simplify]: Extracting #7: cost 0 inf + 1374 14.616 * [simplify]: Simplified to (+ (log (sin lambda2)) (log (sin lambda1))) 14.616 * [simplify]: Simplified (2 1 1 2 2 2 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 (exp (+ (log (sin lambda2)) (log (sin lambda1)))))))))) R)) 14.616 * * * * [progress]: [ 48 / 75 ] simplifiying candidate # 14.616 * * * * [progress]: [ 49 / 75 ] simplifiying candidate # 14.617 * * * * [progress]: [ 50 / 75 ] simplifiying candidate # 14.617 * [simplify]: Simplifying (* (* (* (sin lambda1) (sin lambda1)) (sin lambda1)) (* (* (sin lambda2) (sin lambda2)) (sin lambda2))) 14.617 * * [simplify]: iters left: 6 (9 enodes) 14.621 * * [simplify]: iters left: 5 (34 enodes) 14.628 * * [simplify]: iters left: 4 (63 enodes) 14.643 * * [simplify]: iters left: 3 (122 enodes) 14.670 * * [simplify]: iters left: 2 (196 enodes) 14.734 * * [simplify]: iters left: 1 (356 enodes) 14.916 * * [simplify]: Extracting #0: cost 1 inf + 0 14.916 * * [simplify]: Extracting #1: cost 70 inf + 0 14.918 * * [simplify]: Extracting #2: cost 169 inf + 1 14.919 * * [simplify]: Extracting #3: cost 154 inf + 2658 14.927 * * [simplify]: Extracting #4: cost 86 inf + 31524 14.941 * * [simplify]: Extracting #5: cost 7 inf + 77226 14.958 * * [simplify]: Extracting #6: cost 0 inf + 81813 14.975 * [simplify]: Simplified to (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1))) 14.975 * [simplify]: Simplified (2 1 1 2 2 2 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 (cbrt (* (* (* (sin lambda2) (sin lambda1)) (* (sin lambda2) (sin lambda1))) (* (sin lambda2) (sin lambda1)))))))))) R)) 14.975 * * * * [progress]: [ 51 / 75 ] simplifiying candidate # 14.975 * * * * [progress]: [ 52 / 75 ] simplifiying candidate # 14.975 * * * * [progress]: [ 53 / 75 ] simplifiying candidate # 14.975 * * * * [progress]: [ 54 / 75 ] simplifiying candidate # 14.975 * * * * [progress]: [ 55 / 75 ] simplifiying candidate # 14.976 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 14.976 * * [simplify]: iters left: 4 (7 enodes) 14.979 * * [simplify]: iters left: 3 (22 enodes) 14.984 * * [simplify]: Extracting #0: cost 1 inf + 0 14.985 * * [simplify]: Extracting #1: cost 4 inf + 0 14.985 * * [simplify]: Extracting #2: cost 8 inf + 0 14.985 * * [simplify]: Extracting #3: cost 12 inf + 0 14.985 * * [simplify]: Extracting #4: cost 10 inf + 2 14.985 * * [simplify]: Extracting #5: cost 4 inf + 448 14.985 * * [simplify]: Extracting #6: cost 1 inf + 892 14.985 * * [simplify]: Extracting #7: cost 0 inf + 1134 14.986 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 14.986 * [simplify]: Simplified (2 1 1 2 2 2 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 (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))))) R)) 14.986 * [simplify]: Simplifying (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 14.986 * * [simplify]: iters left: 4 (7 enodes) 14.989 * * [simplify]: iters left: 3 (22 enodes) 14.995 * * [simplify]: Extracting #0: cost 1 inf + 0 14.995 * * [simplify]: Extracting #1: cost 4 inf + 0 14.995 * * [simplify]: Extracting #2: cost 8 inf + 0 14.995 * * [simplify]: Extracting #3: cost 12 inf + 0 14.996 * * [simplify]: Extracting #4: cost 10 inf + 2 14.996 * * [simplify]: Extracting #5: cost 4 inf + 448 14.996 * * [simplify]: Extracting #6: cost 1 inf + 892 14.996 * * [simplify]: Extracting #7: cost 0 inf + 1134 14.997 * [simplify]: Simplified to (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) 14.997 * [simplify]: Simplified (2 1 1 2 2 2 1 1 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (* (sqrt (sin lambda1)) (sqrt (sin lambda2))) (* (sqrt (sin lambda1)) (sqrt (sin lambda2)))))))))) R)) 14.997 * * * * [progress]: [ 56 / 75 ] simplifiying candidate # 14.997 * [simplify]: Simplifying (cbrt (sin lambda2)) 14.997 * * [simplify]: iters left: 2 (3 enodes) 14.999 * * [simplify]: iters left: 1 (9 enodes) 15.001 * * [simplify]: Extracting #0: cost 1 inf + 0 15.001 * * [simplify]: Extracting #1: cost 3 inf + 0 15.001 * * [simplify]: Extracting #2: cost 5 inf + 0 15.001 * * [simplify]: Extracting #3: cost 4 inf + 1 15.001 * * [simplify]: Extracting #4: cost 0 inf + 405 15.001 * [simplify]: Simplified to (cbrt (sin lambda2)) 15.001 * [simplify]: Simplified (2 1 1 2 2 2 1 1 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) (* (cbrt (sin lambda2)) (cbrt (sin lambda2)))) (cbrt (sin lambda2))))))))) R)) 15.001 * * * * [progress]: [ 57 / 75 ] simplifiying candidate # 15.001 * [simplify]: Simplifying (sqrt (sin lambda2)) 15.001 * * [simplify]: iters left: 2 (3 enodes) 15.002 * * [simplify]: iters left: 1 (9 enodes) 15.003 * * [simplify]: Extracting #0: cost 1 inf + 0 15.003 * * [simplify]: Extracting #1: cost 3 inf + 0 15.003 * * [simplify]: Extracting #2: cost 5 inf + 0 15.003 * * [simplify]: Extracting #3: cost 4 inf + 1 15.003 * * [simplify]: Extracting #4: cost 0 inf + 325 15.003 * [simplify]: Simplified to (sqrt (sin lambda2)) 15.003 * [simplify]: Simplified (2 1 1 2 2 2 1 1 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) (sqrt (sin lambda2))) (sqrt (sin lambda2))))))))) R)) 15.003 * * * * [progress]: [ 58 / 75 ] simplifiying candidate # 15.004 * [simplify]: Simplifying (sin lambda2) 15.004 * * [simplify]: iters left: 1 (2 enodes) 15.004 * * [simplify]: Extracting #0: cost 1 inf + 0 15.004 * * [simplify]: Extracting #1: cost 3 inf + 0 15.004 * * [simplify]: Extracting #2: cost 2 inf + 1 15.004 * * [simplify]: Extracting #3: cost 0 inf + 123 15.004 * [simplify]: Simplified to (sin lambda2) 15.004 * [simplify]: Simplified (2 1 1 2 2 2 1 1 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) 1) (sin lambda2)))))))) R)) 15.004 * * * * [progress]: [ 59 / 75 ] simplifiying candidate # 15.005 * [simplify]: Simplifying (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 15.005 * * [simplify]: iters left: 4 (4 enodes) 15.005 * * [simplify]: iters left: 3 (12 enodes) 15.007 * * [simplify]: Extracting #0: cost 1 inf + 0 15.007 * * [simplify]: Extracting #1: cost 3 inf + 0 15.007 * * [simplify]: Extracting #2: cost 5 inf + 0 15.007 * * [simplify]: Extracting #3: cost 7 inf + 0 15.007 * * [simplify]: Extracting #4: cost 6 inf + 1 15.007 * * [simplify]: Extracting #5: cost 0 inf + 767 15.007 * [simplify]: Simplified to (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) 15.007 * [simplify]: Simplified (2 1 1 2 2 2 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 (* (* (cbrt (sin lambda1)) (cbrt (sin lambda1))) (* (cbrt (sin lambda1)) (sin lambda2))))))))) R)) 15.007 * * * * [progress]: [ 60 / 75 ] simplifiying candidate # 15.008 * [simplify]: Simplifying (sqrt (sin lambda1)) 15.008 * * [simplify]: iters left: 2 (3 enodes) 15.008 * * [simplify]: iters left: 1 (9 enodes) 15.009 * * [simplify]: Extracting #0: cost 1 inf + 0 15.009 * * [simplify]: Extracting #1: cost 3 inf + 0 15.009 * * [simplify]: Extracting #2: cost 5 inf + 0 15.010 * * [simplify]: Extracting #3: cost 4 inf + 1 15.010 * * [simplify]: Extracting #4: cost 0 inf + 325 15.010 * [simplify]: Simplified to (sqrt (sin lambda1)) 15.010 * [simplify]: Simplified (2 1 1 2 2 2 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 (* (sqrt (sin lambda1)) (* (sqrt (sin lambda1)) (sin lambda2))))))))) R)) 15.010 * * * * [progress]: [ 61 / 75 ] simplifiying candidate # 15.010 * * * * [progress]: [ 62 / 75 ] simplifiying candidate #real (real->posit16 (* (sin lambda1) (sin lambda2)))))))))) R))> 15.010 * * * * [progress]: [ 63 / 75 ] simplifiying candidate # 15.010 * * * * [progress]: [ 64 / 75 ] simplifiying candidate # 15.010 * [simplify]: Simplifying (* lambda2 lambda1) 15.010 * * [simplify]: iters left: 2 (3 enodes) 15.011 * * [simplify]: iters left: 1 (10 enodes) 15.012 * * [simplify]: Extracting #0: cost 1 inf + 0 15.012 * * [simplify]: Extracting #1: cost 4 inf + 0 15.012 * * [simplify]: Extracting #2: cost 2 inf + 2 15.012 * * [simplify]: Extracting #3: cost 0 inf + 86 15.012 * [simplify]: Simplified to (* lambda2 lambda1) 15.012 * [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)) 15.012 * * * * [progress]: [ 65 / 75 ] simplifiying candidate # 15.012 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 15.012 * * [simplify]: iters left: 3 (5 enodes) 15.013 * * [simplify]: iters left: 2 (16 enodes) 15.015 * * [simplify]: Extracting #0: cost 1 inf + 0 15.015 * * [simplify]: Extracting #1: cost 4 inf + 0 15.015 * * [simplify]: Extracting #2: cost 8 inf + 0 15.015 * * [simplify]: Extracting #3: cost 4 inf + 124 15.015 * * [simplify]: Extracting #4: cost 0 inf + 570 15.016 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 15.016 * [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)) 15.016 * * * * [progress]: [ 66 / 75 ] simplifiying candidate # 15.016 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 15.016 * * [simplify]: iters left: 3 (5 enodes) 15.017 * * [simplify]: iters left: 2 (16 enodes) 15.019 * * [simplify]: Extracting #0: cost 1 inf + 0 15.019 * * [simplify]: Extracting #1: cost 4 inf + 0 15.019 * * [simplify]: Extracting #2: cost 8 inf + 0 15.019 * * [simplify]: Extracting #3: cost 4 inf + 124 15.019 * * [simplify]: Extracting #4: cost 0 inf + 570 15.019 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 15.019 * [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)) 15.019 * * * * [progress]: [ 67 / 75 ] simplifiying candidate # 15.019 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 15.020 * * [simplify]: iters left: 6 (22 enodes) 15.024 * * [simplify]: iters left: 5 (84 enodes) 15.049 * * [simplify]: iters left: 4 (141 enodes) 15.081 * * [simplify]: iters left: 3 (241 enodes) 15.132 * * [simplify]: iters left: 2 (280 enodes) 15.204 * * [simplify]: Extracting #0: cost 1 inf + 0 15.204 * * [simplify]: Extracting #1: cost 3 inf + 0 15.204 * * [simplify]: Extracting #2: cost 10 inf + 0 15.204 * * [simplify]: Extracting #3: cost 46 inf + 0 15.205 * * [simplify]: Extracting #4: cost 80 inf + 0 15.206 * * [simplify]: Extracting #5: cost 63 inf + 1504 15.208 * * [simplify]: Extracting #6: cost 22 inf + 9796 15.214 * * [simplify]: Extracting #7: cost 5 inf + 17031 15.221 * * [simplify]: Extracting #8: cost 0 inf + 19888 15.228 * * [simplify]: Extracting #9: cost 0 inf + 19728 15.235 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 15.235 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 15.235 * * * * [progress]: [ 68 / 75 ] simplifiying candidate # 15.235 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 15.235 * * [simplify]: iters left: 6 (22 enodes) 15.246 * * [simplify]: iters left: 5 (84 enodes) 15.269 * * [simplify]: iters left: 4 (141 enodes) 15.302 * * [simplify]: iters left: 3 (241 enodes) 15.351 * * [simplify]: iters left: 2 (280 enodes) 15.423 * * [simplify]: Extracting #0: cost 1 inf + 0 15.423 * * [simplify]: Extracting #1: cost 3 inf + 0 15.423 * * [simplify]: Extracting #2: cost 10 inf + 0 15.423 * * [simplify]: Extracting #3: cost 46 inf + 0 15.423 * * [simplify]: Extracting #4: cost 80 inf + 0 15.424 * * [simplify]: Extracting #5: cost 58 inf + 2112 15.427 * * [simplify]: Extracting #6: cost 20 inf + 10221 15.434 * * [simplify]: Extracting #7: cost 2 inf + 18300 15.440 * * [simplify]: Extracting #8: cost 0 inf + 19888 15.448 * * [simplify]: Extracting #9: cost 0 inf + 19728 15.455 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 15.455 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) R)) 15.455 * * * * [progress]: [ 69 / 75 ] simplifiying candidate # 15.455 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 15.456 * * [simplify]: iters left: 6 (22 enodes) 15.461 * * [simplify]: iters left: 5 (84 enodes) 15.473 * * [simplify]: iters left: 4 (141 enodes) 15.498 * * [simplify]: iters left: 3 (241 enodes) 15.554 * * [simplify]: iters left: 2 (280 enodes) 15.592 * * [simplify]: Extracting #0: cost 1 inf + 0 15.592 * * [simplify]: Extracting #1: cost 3 inf + 0 15.592 * * [simplify]: Extracting #2: cost 10 inf + 0 15.592 * * [simplify]: Extracting #3: cost 46 inf + 0 15.592 * * [simplify]: Extracting #4: cost 80 inf + 0 15.592 * * [simplify]: Extracting #5: cost 63 inf + 1504 15.594 * * [simplify]: Extracting #6: cost 22 inf + 9796 15.597 * * [simplify]: Extracting #7: cost 5 inf + 17031 15.601 * * [simplify]: Extracting #8: cost 0 inf + 19888 15.604 * * [simplify]: Extracting #9: cost 0 inf + 19728 15.608 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 15.608 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) R)) 15.608 * * * * [progress]: [ 70 / 75 ] simplifiying candidate # 15.608 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 15.608 * * [simplify]: iters left: 6 (24 enodes) 15.613 * * [simplify]: iters left: 5 (91 enodes) 15.631 * * [simplify]: iters left: 4 (148 enodes) 15.666 * * [simplify]: iters left: 3 (248 enodes) 15.721 * * [simplify]: iters left: 2 (295 enodes) 15.760 * * [simplify]: Extracting #0: cost 1 inf + 0 15.760 * * [simplify]: Extracting #1: cost 4 inf + 0 15.760 * * [simplify]: Extracting #2: cost 5 inf + 1 15.760 * * [simplify]: Extracting #3: cost 12 inf + 1 15.760 * * [simplify]: Extracting #4: cost 48 inf + 1 15.760 * * [simplify]: Extracting #5: cost 82 inf + 1 15.761 * * [simplify]: Extracting #6: cost 71 inf + 634 15.762 * * [simplify]: Extracting #7: cost 31 inf + 8806 15.765 * * [simplify]: Extracting #8: cost 5 inf + 18631 15.768 * * [simplify]: Extracting #9: cost 1 inf + 20704 15.772 * * [simplify]: Extracting #10: cost 0 inf + 21559 15.775 * * [simplify]: Extracting #11: cost 0 inf + 21519 15.779 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 15.779 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 15.779 * * * * [progress]: [ 71 / 75 ] simplifiying candidate # 15.779 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 15.779 * * [simplify]: iters left: 6 (24 enodes) 15.784 * * [simplify]: iters left: 5 (91 enodes) 15.807 * * [simplify]: iters left: 4 (148 enodes) 15.841 * * [simplify]: iters left: 3 (248 enodes) 15.922 * * [simplify]: iters left: 2 (292 enodes) 15.999 * * [simplify]: Extracting #0: cost 1 inf + 0 16.000 * * [simplify]: Extracting #1: cost 4 inf + 0 16.000 * * [simplify]: Extracting #2: cost 5 inf + 1 16.000 * * [simplify]: Extracting #3: cost 12 inf + 1 16.000 * * [simplify]: Extracting #4: cost 48 inf + 1 16.000 * * [simplify]: Extracting #5: cost 82 inf + 1 16.001 * * [simplify]: Extracting #6: cost 61 inf + 2052 16.005 * * [simplify]: Extracting #7: cost 23 inf + 9919 16.010 * * [simplify]: Extracting #8: cost 4 inf + 18021 16.017 * * [simplify]: Extracting #9: cost 1 inf + 20624 16.024 * * [simplify]: Extracting #10: cost 0 inf + 21519 16.031 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 16.031 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 16.031 * * * * [progress]: [ 72 / 75 ] simplifiying candidate # 16.032 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 16.032 * * [simplify]: iters left: 6 (24 enodes) 16.043 * * [simplify]: iters left: 5 (91 enodes) 16.071 * * [simplify]: iters left: 4 (148 enodes) 16.125 * * [simplify]: iters left: 3 (248 enodes) 16.206 * * [simplify]: iters left: 2 (295 enodes) 16.271 * * [simplify]: Extracting #0: cost 1 inf + 0 16.271 * * [simplify]: Extracting #1: cost 4 inf + 0 16.271 * * [simplify]: Extracting #2: cost 5 inf + 1 16.271 * * [simplify]: Extracting #3: cost 12 inf + 1 16.272 * * [simplify]: Extracting #4: cost 48 inf + 1 16.272 * * [simplify]: Extracting #5: cost 82 inf + 1 16.272 * * [simplify]: Extracting #6: cost 71 inf + 634 16.273 * * [simplify]: Extracting #7: cost 31 inf + 8806 16.276 * * [simplify]: Extracting #8: cost 5 inf + 18631 16.280 * * [simplify]: Extracting #9: cost 1 inf + 20704 16.283 * * [simplify]: Extracting #10: cost 0 inf + 21559 16.289 * * [simplify]: Extracting #11: cost 0 inf + 21519 16.296 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 16.296 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 16.297 * * * * [progress]: [ 73 / 75 ] simplifiying candidate # 16.297 * [simplify]: Simplifying (* lambda2 lambda1) 16.297 * * [simplify]: iters left: 2 (3 enodes) 16.299 * * [simplify]: iters left: 1 (10 enodes) 16.301 * * [simplify]: Extracting #0: cost 1 inf + 0 16.301 * * [simplify]: Extracting #1: cost 4 inf + 0 16.302 * * [simplify]: Extracting #2: cost 2 inf + 2 16.302 * * [simplify]: Extracting #3: cost 0 inf + 86 16.302 * [simplify]: Simplified to (* lambda2 lambda1) 16.302 * [simplify]: Simplified (2 1 1 2 2 2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* lambda2 lambda1))))))) R)) 16.302 * * * * [progress]: [ 74 / 75 ] simplifiying candidate # 16.302 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 16.302 * * [simplify]: iters left: 3 (5 enodes) 16.305 * * [simplify]: iters left: 2 (16 enodes) 16.306 * * [simplify]: Extracting #0: cost 1 inf + 0 16.306 * * [simplify]: Extracting #1: cost 4 inf + 0 16.307 * * [simplify]: Extracting #2: cost 8 inf + 0 16.307 * * [simplify]: Extracting #3: cost 4 inf + 124 16.307 * * [simplify]: Extracting #4: cost 0 inf + 570 16.307 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 16.307 * [simplify]: Simplified (2 1 1 2 2 2 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)) 16.307 * * * * [progress]: [ 75 / 75 ] simplifiying candidate # 16.307 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 16.307 * * [simplify]: iters left: 3 (5 enodes) 16.308 * * [simplify]: iters left: 2 (16 enodes) 16.310 * * [simplify]: Extracting #0: cost 1 inf + 0 16.310 * * [simplify]: Extracting #1: cost 4 inf + 0 16.310 * * [simplify]: Extracting #2: cost 8 inf + 0 16.310 * * [simplify]: Extracting #3: cost 4 inf + 124 16.310 * * [simplify]: Extracting #4: cost 0 inf + 570 16.310 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 16.310 * [simplify]: Simplified (2 1 1 2 2 2 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 lambda2) (sin lambda1)))))))) R)) 16.311 * * * [progress]: adding candidates to table 18.161 * * [progress]: iteration 4 / 4 18.161 * * * [progress]: picking best candidate 18.316 * * * * [pick]: Picked # 18.316 * * * [progress]: localizing error 18.442 * * * [progress]: generating rewritten candidates 18.442 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 1 1 2 2 2) 18.446 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 18.448 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 18.449 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 18.480 * * * [progress]: generating series expansions 18.480 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 1 1 2 2 2) 18.481 * [backup-simplify]: Simplify (log (exp (* (sin lambda1) (sin lambda2)))) into (* (sin lambda1) (sin lambda2)) 18.481 * [approximate]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in (lambda1 lambda2) around 0 18.481 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda2 18.481 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda2 18.481 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.481 * [backup-simplify]: Simplify lambda1 into lambda1 18.481 * [backup-simplify]: Simplify (sin lambda1) into (sin lambda1) 18.481 * [backup-simplify]: Simplify (cos lambda1) into (cos lambda1) 18.481 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 18.481 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.481 * [backup-simplify]: Simplify 0 into 0 18.481 * [backup-simplify]: Simplify 1 into 1 18.481 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 18.481 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 18.481 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.481 * [backup-simplify]: Simplify 0 into 0 18.481 * [backup-simplify]: Simplify 1 into 1 18.481 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 18.481 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.481 * [backup-simplify]: Simplify lambda2 into lambda2 18.481 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 18.481 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 18.481 * [taylor]: Taking taylor expansion of (* (sin lambda1) (sin lambda2)) in lambda1 18.481 * [taylor]: Taking taylor expansion of (sin lambda1) in lambda1 18.481 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.481 * [backup-simplify]: Simplify 0 into 0 18.481 * [backup-simplify]: Simplify 1 into 1 18.481 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda1 18.482 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.482 * [backup-simplify]: Simplify lambda2 into lambda2 18.482 * [backup-simplify]: Simplify (sin lambda2) into (sin lambda2) 18.482 * [backup-simplify]: Simplify (cos lambda2) into (cos lambda2) 18.482 * [backup-simplify]: Simplify (* (sin lambda2) 1) into (sin lambda2) 18.482 * [backup-simplify]: Simplify (* (cos lambda2) 0) into 0 18.482 * [backup-simplify]: Simplify (+ (sin lambda2) 0) into (sin lambda2) 18.482 * [backup-simplify]: Simplify (* 0 (sin lambda2)) into 0 18.482 * [taylor]: Taking taylor expansion of 0 in lambda2 18.482 * [backup-simplify]: Simplify 0 into 0 18.482 * [backup-simplify]: Simplify 0 into 0 18.483 * [backup-simplify]: Simplify (+ 0) into 0 18.483 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (* 0 1)) into 0 18.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.485 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (* 0 0)) into 0 18.485 * [backup-simplify]: Simplify (+ 0 0) into 0 18.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 18.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sin lambda2))) into (sin lambda2) 18.486 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 18.486 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.486 * [backup-simplify]: Simplify 0 into 0 18.486 * [backup-simplify]: Simplify 1 into 1 18.486 * [backup-simplify]: Simplify 0 into 0 18.487 * [backup-simplify]: Simplify 0 into 0 18.487 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.488 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (* 0 1))) into 0 18.489 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.490 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (* 0 0))) into 0 18.490 * [backup-simplify]: Simplify (+ 0 0) into 0 18.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sin lambda2)))) into 0 18.493 * [taylor]: Taking taylor expansion of 0 in lambda2 18.493 * [backup-simplify]: Simplify 0 into 0 18.493 * [backup-simplify]: Simplify 0 into 0 18.494 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 18.494 * [backup-simplify]: Simplify 1 into 1 18.494 * [backup-simplify]: Simplify 0 into 0 18.495 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.496 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.498 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.498 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.499 * [backup-simplify]: Simplify (+ 0 0) into 0 18.500 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into -1/6 18.501 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* -1/6 (sin lambda2))))) into (- (* 1/6 (sin lambda2))) 18.502 * [taylor]: Taking taylor expansion of (- (* 1/6 (sin lambda2))) in lambda2 18.502 * [taylor]: Taking taylor expansion of (* 1/6 (sin lambda2)) in lambda2 18.502 * [taylor]: Taking taylor expansion of 1/6 in lambda2 18.502 * [backup-simplify]: Simplify 1/6 into 1/6 18.502 * [taylor]: Taking taylor expansion of (sin lambda2) in lambda2 18.502 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.502 * [backup-simplify]: Simplify 0 into 0 18.502 * [backup-simplify]: Simplify 1 into 1 18.502 * [backup-simplify]: Simplify (* 1/6 0) into 0 18.503 * [backup-simplify]: Simplify (- 0) into 0 18.503 * [backup-simplify]: Simplify 0 into 0 18.503 * [backup-simplify]: Simplify 0 into 0 18.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.504 * [backup-simplify]: Simplify 0 into 0 18.504 * [backup-simplify]: Simplify 0 into 0 18.506 * [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 18.507 * [backup-simplify]: Simplify (+ (* (sin lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.508 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.509 * [backup-simplify]: Simplify (+ (* (cos lambda2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0 18.509 * [backup-simplify]: Simplify (+ 0 0) into 0 18.511 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 18.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* -1/6 0) (* 0 (sin lambda2)))))) into 0 18.513 * [taylor]: Taking taylor expansion of 0 in lambda2 18.513 * [backup-simplify]: Simplify 0 into 0 18.513 * [backup-simplify]: Simplify 0 into 0 18.513 * [backup-simplify]: Simplify (* 1 (* lambda2 lambda1)) into (* lambda2 lambda1) 18.513 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 lambda1)) (sin (/ 1 lambda2))))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.513 * [approximate]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in (lambda1 lambda2) around 0 18.513 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 18.513 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 18.513 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 18.513 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.513 * [backup-simplify]: Simplify 0 into 0 18.513 * [backup-simplify]: Simplify 1 into 1 18.514 * [backup-simplify]: Simplify (/ 1 1) into 1 18.514 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.514 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 18.514 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 18.514 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.514 * [backup-simplify]: Simplify lambda1 into lambda1 18.514 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 18.514 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.514 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 18.514 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 18.514 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 18.514 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 18.514 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.514 * [backup-simplify]: Simplify lambda2 into lambda2 18.514 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 18.514 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.514 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 18.514 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 18.514 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 18.514 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.514 * [backup-simplify]: Simplify 0 into 0 18.514 * [backup-simplify]: Simplify 1 into 1 18.515 * [backup-simplify]: Simplify (/ 1 1) into 1 18.515 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.515 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda1 18.515 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda1 18.515 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda1 18.515 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.515 * [backup-simplify]: Simplify lambda2 into lambda2 18.515 * [backup-simplify]: Simplify (/ 1 lambda2) into (/ 1 lambda2) 18.515 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.515 * [backup-simplify]: Simplify (cos (/ 1 lambda2)) into (cos (/ 1 lambda2)) 18.515 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda1 18.515 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda1 18.515 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.515 * [backup-simplify]: Simplify 0 into 0 18.515 * [backup-simplify]: Simplify 1 into 1 18.516 * [backup-simplify]: Simplify (/ 1 1) into 1 18.516 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.516 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) 1) into (sin (/ 1 lambda2)) 18.516 * [backup-simplify]: Simplify (* (cos (/ 1 lambda2)) 0) into 0 18.516 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda2)) 0) into (sin (/ 1 lambda2)) 18.516 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.516 * [taylor]: Taking taylor expansion of (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) in lambda2 18.516 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda2)) in lambda2 18.516 * [taylor]: Taking taylor expansion of (/ 1 lambda2) in lambda2 18.516 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.516 * [backup-simplify]: Simplify 0 into 0 18.516 * [backup-simplify]: Simplify 1 into 1 18.517 * [backup-simplify]: Simplify (/ 1 1) into 1 18.517 * [backup-simplify]: Simplify (sin (/ 1 lambda2)) into (sin (/ 1 lambda2)) 18.517 * [taylor]: Taking taylor expansion of (sin (/ 1 lambda1)) in lambda2 18.517 * [taylor]: Taking taylor expansion of (/ 1 lambda1) in lambda2 18.517 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.517 * [backup-simplify]: Simplify lambda1 into lambda1 18.517 * [backup-simplify]: Simplify (/ 1 lambda1) into (/ 1 lambda1) 18.517 * [backup-simplify]: Simplify (sin (/ 1 lambda1)) into (sin (/ 1 lambda1)) 18.517 * [backup-simplify]: Simplify (cos (/ 1 lambda1)) into (cos (/ 1 lambda1)) 18.517 * [backup-simplify]: Simplify (* (sin (/ 1 lambda1)) 1) into (sin (/ 1 lambda1)) 18.517 * [backup-simplify]: Simplify (* (cos (/ 1 lambda1)) 0) into 0 18.517 * [backup-simplify]: Simplify (+ (sin (/ 1 lambda1)) 0) into (sin (/ 1 lambda1)) 18.517 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.518 * [backup-simplify]: Simplify (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) into (* (sin (/ 1 lambda2)) (sin (/ 1 lambda1))) 18.518 * [backup-simplify]: Simplify (+ 0) into 0 18.519 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 1)) into 0 18.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)))) into 0 18.519 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (* 0 0)) into 0 18.520 * [backup-simplify]: Simplify (+ 0 0) into 0 18.520 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 18.521 * [taylor]: Taking taylor expansion of 0 in lambda2 18.521 * [backup-simplify]: Simplify 0 into 0 18.521 * [backup-simplify]: Simplify 0 into 0 18.521 * [backup-simplify]: Simplify (+ 0) into 0 18.521 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (* 0 1)) into 0 18.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)))) into 0 18.522 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (* 0 0)) into 0 18.523 * [backup-simplify]: Simplify (+ 0 0) into 0 18.523 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (* 0 (sin (/ 1 lambda1)))) into 0 18.523 * [backup-simplify]: Simplify 0 into 0 18.524 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.525 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 18.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.526 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.527 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 18.527 * [backup-simplify]: Simplify (+ 0 0) into 0 18.528 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 18.528 * [taylor]: Taking taylor expansion of 0 in lambda2 18.528 * [backup-simplify]: Simplify 0 into 0 18.528 * [backup-simplify]: Simplify 0 into 0 18.528 * [backup-simplify]: Simplify 0 into 0 18.529 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.530 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 18.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 18.531 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 18.532 * [backup-simplify]: Simplify (+ 0 0) into 0 18.532 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1))))) into 0 18.532 * [backup-simplify]: Simplify 0 into 0 18.533 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.534 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.534 * [backup-simplify]: Simplify (- (+ (* (/ 1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.536 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.537 * [backup-simplify]: Simplify (+ (* (cos (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.537 * [backup-simplify]: Simplify (+ 0 0) into 0 18.538 * [backup-simplify]: Simplify (+ (* (sin (/ 1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ 1 lambda1)))))) into 0 18.538 * [taylor]: Taking taylor expansion of 0 in lambda2 18.538 * [backup-simplify]: Simplify 0 into 0 18.538 * [backup-simplify]: Simplify 0 into 0 18.538 * [backup-simplify]: Simplify (* (sin (/ 1 (/ 1 lambda2))) (sin (/ 1 (/ 1 lambda1)))) into (* (sin lambda2) (sin lambda1)) 18.538 * [backup-simplify]: Simplify (log (exp (* (sin (/ 1 (- lambda1))) (sin (/ 1 (- lambda2)))))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.538 * [approximate]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in (lambda1 lambda2) around 0 18.538 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 18.538 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 18.538 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 18.538 * [taylor]: Taking taylor expansion of -1 in lambda2 18.538 * [backup-simplify]: Simplify -1 into -1 18.539 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.539 * [backup-simplify]: Simplify lambda1 into lambda1 18.539 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 18.539 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.539 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 18.539 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 18.539 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 18.539 * [taylor]: Taking taylor expansion of -1 in lambda2 18.539 * [backup-simplify]: Simplify -1 into -1 18.539 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.539 * [backup-simplify]: Simplify 0 into 0 18.539 * [backup-simplify]: Simplify 1 into 1 18.539 * [backup-simplify]: Simplify (/ -1 1) into -1 18.539 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.539 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 18.540 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 18.540 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 18.540 * [taylor]: Taking taylor expansion of -1 in lambda1 18.540 * [backup-simplify]: Simplify -1 into -1 18.540 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.540 * [backup-simplify]: Simplify 0 into 0 18.540 * [backup-simplify]: Simplify 1 into 1 18.540 * [backup-simplify]: Simplify (/ -1 1) into -1 18.540 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.540 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 18.540 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 18.540 * [taylor]: Taking taylor expansion of -1 in lambda1 18.540 * [backup-simplify]: Simplify -1 into -1 18.540 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.540 * [backup-simplify]: Simplify lambda2 into lambda2 18.540 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 18.540 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.541 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 18.541 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda1 18.541 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda1 18.541 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda1 18.541 * [taylor]: Taking taylor expansion of -1 in lambda1 18.541 * [backup-simplify]: Simplify -1 into -1 18.541 * [taylor]: Taking taylor expansion of lambda1 in lambda1 18.541 * [backup-simplify]: Simplify 0 into 0 18.541 * [backup-simplify]: Simplify 1 into 1 18.541 * [backup-simplify]: Simplify (/ -1 1) into -1 18.541 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.541 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda1 18.541 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda1 18.541 * [taylor]: Taking taylor expansion of -1 in lambda1 18.541 * [backup-simplify]: Simplify -1 into -1 18.541 * [taylor]: Taking taylor expansion of lambda2 in lambda1 18.541 * [backup-simplify]: Simplify lambda2 into lambda2 18.542 * [backup-simplify]: Simplify (/ -1 lambda2) into (/ -1 lambda2) 18.542 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.542 * [backup-simplify]: Simplify (cos (/ -1 lambda2)) into (cos (/ -1 lambda2)) 18.542 * [backup-simplify]: Simplify (* (sin (/ -1 lambda2)) 1) into (sin (/ -1 lambda2)) 18.542 * [backup-simplify]: Simplify (* (cos (/ -1 lambda2)) 0) into 0 18.542 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda2)) 0) into (sin (/ -1 lambda2)) 18.542 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.542 * [taylor]: Taking taylor expansion of (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) in lambda2 18.542 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda1)) in lambda2 18.542 * [taylor]: Taking taylor expansion of (/ -1 lambda1) in lambda2 18.542 * [taylor]: Taking taylor expansion of -1 in lambda2 18.542 * [backup-simplify]: Simplify -1 into -1 18.542 * [taylor]: Taking taylor expansion of lambda1 in lambda2 18.542 * [backup-simplify]: Simplify lambda1 into lambda1 18.542 * [backup-simplify]: Simplify (/ -1 lambda1) into (/ -1 lambda1) 18.542 * [backup-simplify]: Simplify (sin (/ -1 lambda1)) into (sin (/ -1 lambda1)) 18.543 * [backup-simplify]: Simplify (cos (/ -1 lambda1)) into (cos (/ -1 lambda1)) 18.543 * [taylor]: Taking taylor expansion of (sin (/ -1 lambda2)) in lambda2 18.543 * [taylor]: Taking taylor expansion of (/ -1 lambda2) in lambda2 18.543 * [taylor]: Taking taylor expansion of -1 in lambda2 18.543 * [backup-simplify]: Simplify -1 into -1 18.543 * [taylor]: Taking taylor expansion of lambda2 in lambda2 18.543 * [backup-simplify]: Simplify 0 into 0 18.543 * [backup-simplify]: Simplify 1 into 1 18.543 * [backup-simplify]: Simplify (/ -1 1) into -1 18.543 * [backup-simplify]: Simplify (sin (/ -1 lambda2)) into (sin (/ -1 lambda2)) 18.543 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) 1) into (sin (/ -1 lambda1)) 18.543 * [backup-simplify]: Simplify (* (cos (/ -1 lambda1)) 0) into 0 18.544 * [backup-simplify]: Simplify (+ (sin (/ -1 lambda1)) 0) into (sin (/ -1 lambda1)) 18.544 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.544 * [backup-simplify]: Simplify (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) into (* (sin (/ -1 lambda1)) (sin (/ -1 lambda2))) 18.544 * [backup-simplify]: Simplify (+ 0) into 0 18.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (* 0 1)) into 0 18.545 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)))) into 0 18.546 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (* 0 0)) into 0 18.547 * [backup-simplify]: Simplify (+ 0 0) into 0 18.547 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 18.547 * [taylor]: Taking taylor expansion of 0 in lambda2 18.547 * [backup-simplify]: Simplify 0 into 0 18.547 * [backup-simplify]: Simplify 0 into 0 18.547 * [backup-simplify]: Simplify (+ 0) into 0 18.548 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 1)) into 0 18.548 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)))) into 0 18.549 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0 18.549 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (* 0 0)) into 0 18.549 * [backup-simplify]: Simplify (+ 0 0) into 0 18.550 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (* 0 (sin (/ -1 lambda2)))) into 0 18.550 * [backup-simplify]: Simplify 0 into 0 18.550 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 1))) into 0 18.551 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.552 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.553 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (* 0 0))) into 0 18.553 * [backup-simplify]: Simplify (+ 0 0) into 0 18.554 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 18.554 * [taylor]: Taking taylor expansion of 0 in lambda2 18.554 * [backup-simplify]: Simplify 0 into 0 18.554 * [backup-simplify]: Simplify 0 into 0 18.554 * [backup-simplify]: Simplify 0 into 0 18.555 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0 18.555 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 1))) into 0 18.556 * [backup-simplify]: Simplify (- (/ 0 lambda1) (+ (* (/ -1 lambda1) (/ 0 lambda1)) (* 0 (/ 0 lambda1)))) into 0 18.556 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 18.557 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 0))) into 0 18.557 * [backup-simplify]: Simplify (+ 0 0) into 0 18.558 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2))))) into 0 18.558 * [backup-simplify]: Simplify 0 into 0 18.559 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0 18.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.560 * [backup-simplify]: Simplify (- (/ 0 lambda2) (+ (* (/ -1 lambda2) (/ 0 lambda2)) (* 0 (/ 0 lambda2)) (* 0 (/ 0 lambda2)))) into 0 18.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0 18.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1 lambda2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0 18.563 * [backup-simplify]: Simplify (+ 0 0) into 0 18.563 * [backup-simplify]: Simplify (+ (* (sin (/ -1 lambda1)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sin (/ -1 lambda2)))))) into 0 18.563 * [taylor]: Taking taylor expansion of 0 in lambda2 18.563 * [backup-simplify]: Simplify 0 into 0 18.564 * [backup-simplify]: Simplify 0 into 0 18.564 * [backup-simplify]: Simplify (* (sin (/ -1 (/ 1 (- lambda1)))) (sin (/ -1 (/ 1 (- lambda2))))) into (* (sin lambda1) (sin lambda2)) 18.564 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 18.564 * [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))))) 18.564 * [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 18.564 * [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 18.565 * [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))))) 18.565 * [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 18.566 * [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))))) 18.566 * [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 18.566 * [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))))) 18.566 * [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 18.567 * [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))))) 18.567 * [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 18.567 * [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))))) 18.567 * [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 18.568 * [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))))) 18.568 * [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 18.569 * [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))))) 18.569 * [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 18.569 * [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))))) 18.570 * [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))))) 18.570 * [taylor]: Taking taylor expansion of 0 in phi2 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in lambda1 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in lambda2 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in lambda1 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in lambda2 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in lambda2 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in phi2 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in lambda1 18.570 * [backup-simplify]: Simplify 0 into 0 18.570 * [taylor]: Taking taylor expansion of 0 in lambda2 18.570 * [backup-simplify]: Simplify 0 into 0 18.571 * [backup-simplify]: Simplify 0 into 0 18.571 * [taylor]: Taking taylor expansion of 0 in lambda1 18.571 * [backup-simplify]: Simplify 0 into 0 18.571 * [taylor]: Taking taylor expansion of 0 in lambda2 18.571 * [backup-simplify]: Simplify 0 into 0 18.571 * [backup-simplify]: Simplify 0 into 0 18.571 * [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))))) 18.572 * [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)))))))) 18.572 * [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 18.572 * [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 18.573 * [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)))))))) 18.573 * [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 18.573 * [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)))))))) 18.574 * [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 18.574 * [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)))))))) 18.574 * [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 18.575 * [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)))))))) 18.575 * [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 18.576 * [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)))))))) 18.576 * [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 18.577 * [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)))))))) 18.577 * [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 18.578 * [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)))))))) 18.578 * [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 18.579 * [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)))))))) 18.579 * [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)))))))) 18.580 * [taylor]: Taking taylor expansion of 0 in phi2 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda1 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda2 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda1 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda2 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda2 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in phi2 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda1 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda2 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda1 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [taylor]: Taking taylor expansion of 0 in lambda2 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify 0 into 0 18.581 * [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))))) 18.582 * [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)))))))) 18.582 * [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 18.582 * [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 18.583 * [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)))))))) 18.583 * [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 18.584 * [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)))))))) 18.584 * [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 18.584 * [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)))))))) 18.585 * [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 18.585 * [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)))))))) 18.585 * [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 18.586 * [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)))))))) 18.586 * [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 18.587 * [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)))))))) 18.587 * [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 18.588 * [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)))))))) 18.588 * [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 18.589 * [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)))))))) 18.589 * [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)))))))) 18.590 * [taylor]: Taking taylor expansion of 0 in phi2 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [taylor]: Taking taylor expansion of 0 in lambda1 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [taylor]: Taking taylor expansion of 0 in lambda2 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [taylor]: Taking taylor expansion of 0 in lambda1 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [taylor]: Taking taylor expansion of 0 in lambda2 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [taylor]: Taking taylor expansion of 0 in lambda2 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [taylor]: Taking taylor expansion of 0 in phi2 18.590 * [backup-simplify]: Simplify 0 into 0 18.590 * [taylor]: Taking taylor expansion of 0 in lambda1 18.590 * [backup-simplify]: Simplify 0 into 0 18.591 * [taylor]: Taking taylor expansion of 0 in lambda2 18.591 * [backup-simplify]: Simplify 0 into 0 18.591 * [backup-simplify]: Simplify 0 into 0 18.591 * [taylor]: Taking taylor expansion of 0 in lambda1 18.591 * [backup-simplify]: Simplify 0 into 0 18.591 * [taylor]: Taking taylor expansion of 0 in lambda2 18.591 * [backup-simplify]: Simplify 0 into 0 18.591 * [backup-simplify]: Simplify 0 into 0 18.592 * [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))))) 18.592 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 18.592 * [backup-simplify]: Simplify (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 18.592 * [approximate]: Taking taylor expansion of (log (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 18.593 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 18.593 * [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 18.593 * [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))))) 18.594 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 18.594 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 18.594 * [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 18.594 * [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))))) 18.595 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 18.595 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 18.595 * [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 18.596 * [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))))) 18.596 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 18.596 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 18.596 * [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 18.597 * [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))))) 18.597 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 18.597 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi1 18.597 * [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 18.598 * [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))))) 18.598 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.008 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in phi2 19.008 * [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 19.009 * [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))))) 19.009 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.009 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda1 19.009 * [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 19.009 * [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))))) 19.010 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.010 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) in lambda2 19.010 * [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 19.010 * [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))))) 19.010 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.010 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.012 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 19.012 * [taylor]: Taking taylor expansion of 0 in phi2 19.012 * [backup-simplify]: Simplify 0 into 0 19.012 * [taylor]: Taking taylor expansion of 0 in lambda1 19.012 * [backup-simplify]: Simplify 0 into 0 19.012 * [taylor]: Taking taylor expansion of 0 in lambda2 19.012 * [backup-simplify]: Simplify 0 into 0 19.012 * [backup-simplify]: Simplify 0 into 0 19.013 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 19.013 * [taylor]: Taking taylor expansion of 0 in lambda1 19.013 * [backup-simplify]: Simplify 0 into 0 19.013 * [taylor]: Taking taylor expansion of 0 in lambda2 19.013 * [backup-simplify]: Simplify 0 into 0 19.013 * [backup-simplify]: Simplify 0 into 0 19.014 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 19.014 * [taylor]: Taking taylor expansion of 0 in lambda2 19.014 * [backup-simplify]: Simplify 0 into 0 19.014 * [backup-simplify]: Simplify 0 into 0 19.015 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 1) into 0 19.015 * [backup-simplify]: Simplify 0 into 0 19.017 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 1)))) 2) into 0 19.017 * [taylor]: Taking taylor expansion of 0 in phi2 19.017 * [backup-simplify]: Simplify 0 into 0 19.017 * [taylor]: Taking taylor expansion of 0 in lambda1 19.017 * [backup-simplify]: Simplify 0 into 0 19.017 * [taylor]: Taking taylor expansion of 0 in lambda2 19.017 * [backup-simplify]: Simplify 0 into 0 19.017 * [backup-simplify]: Simplify 0 into 0 19.018 * [taylor]: Taking taylor expansion of 0 in lambda1 19.018 * [backup-simplify]: Simplify 0 into 0 19.018 * [taylor]: Taking taylor expansion of 0 in lambda2 19.018 * [backup-simplify]: Simplify 0 into 0 19.018 * [backup-simplify]: Simplify 0 into 0 19.019 * [backup-simplify]: Simplify (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) into (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.019 * [backup-simplify]: Simplify (log (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.019 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.019 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.019 * [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 19.020 * [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)))))))) 19.020 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.020 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.020 * [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 19.020 * [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)))))))) 19.021 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.021 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.021 * [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 19.021 * [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)))))))) 19.022 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.022 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.022 * [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 19.022 * [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)))))))) 19.023 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.023 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.023 * [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 19.023 * [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)))))))) 19.023 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.023 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.023 * [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 19.024 * [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)))))))) 19.024 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.024 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.024 * [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 19.025 * [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)))))))) 19.025 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.025 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 19.025 * [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 19.026 * [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)))))))) 19.026 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.026 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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 (log (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1))))))))) 19.028 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))) 1) into 0 19.028 * [taylor]: Taking taylor expansion of 0 in phi2 19.028 * [backup-simplify]: Simplify 0 into 0 19.028 * [taylor]: Taking taylor expansion of 0 in lambda1 19.028 * [backup-simplify]: Simplify 0 into 0 19.028 * [taylor]: Taking taylor expansion of 0 in lambda2 19.028 * [backup-simplify]: Simplify 0 into 0 19.028 * [backup-simplify]: Simplify 0 into 0 19.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))) 1) into 0 19.029 * [taylor]: Taking taylor expansion of 0 in lambda1 19.029 * [backup-simplify]: Simplify 0 into 0 19.029 * [taylor]: Taking taylor expansion of 0 in lambda2 19.029 * [backup-simplify]: Simplify 0 into 0 19.029 * [backup-simplify]: Simplify 0 into 0 19.030 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))) 1) into 0 19.030 * [taylor]: Taking taylor expansion of 0 in lambda2 19.030 * [backup-simplify]: Simplify 0 into 0 19.030 * [backup-simplify]: Simplify 0 into 0 19.031 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))) 1) into 0 19.031 * [backup-simplify]: Simplify 0 into 0 19.033 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (sin (/ 1 lambda1)) (cos (/ 1 phi1))))) (+ (* (sin (/ 1 phi2)) (sin (/ 1 phi1))) (* (cos (/ 1 phi2)) (* (cos (/ 1 lambda2)) (* (cos (/ 1 lambda1)) (cos (/ 1 phi1)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ 1 phi2)) (* (sin (/ 1 lambda2)) (* (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)))) 2) into 0 19.033 * [taylor]: Taking taylor expansion of 0 in phi2 19.033 * [backup-simplify]: Simplify 0 into 0 19.033 * [taylor]: Taking taylor expansion of 0 in lambda1 19.033 * [backup-simplify]: Simplify 0 into 0 19.033 * [taylor]: Taking taylor expansion of 0 in lambda2 19.033 * [backup-simplify]: Simplify 0 into 0 19.033 * [backup-simplify]: Simplify 0 into 0 19.033 * [taylor]: Taking taylor expansion of 0 in lambda1 19.033 * [backup-simplify]: Simplify 0 into 0 19.033 * [taylor]: Taking taylor expansion of 0 in lambda2 19.033 * [backup-simplify]: Simplify 0 into 0 19.033 * [backup-simplify]: Simplify 0 into 0 19.034 * [backup-simplify]: Simplify (log (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 (log (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 19.035 * [backup-simplify]: Simplify (log (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.035 * [approximate]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.035 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.035 * [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 19.036 * [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)))))))) 19.037 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.037 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.037 * [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 19.038 * [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)))))))) 19.039 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.039 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.039 * [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 19.040 * [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)))))))) 19.040 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.041 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.041 * [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 19.041 * [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)))))))) 19.042 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.042 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.042 * [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 19.043 * [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)))))))) 19.044 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.044 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.044 * [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 19.045 * [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)))))))) 19.046 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.046 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.046 * [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 19.047 * [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)))))))) 19.047 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.047 * [taylor]: Taking taylor expansion of (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 19.047 * [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 19.048 * [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)))))))) 19.049 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 phi2)) (cos (/ -1 lambda2))))))))) 19.050 * [backup-simplify]: Simplify (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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 (log (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2))))))))) 19.052 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))) 1) into 0 19.052 * [taylor]: Taking taylor expansion of 0 in phi2 19.052 * [backup-simplify]: Simplify 0 into 0 19.052 * [taylor]: Taking taylor expansion of 0 in lambda1 19.052 * [backup-simplify]: Simplify 0 into 0 19.052 * [taylor]: Taking taylor expansion of 0 in lambda2 19.052 * [backup-simplify]: Simplify 0 into 0 19.052 * [backup-simplify]: Simplify 0 into 0 19.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))) 1) into 0 19.054 * [taylor]: Taking taylor expansion of 0 in lambda1 19.054 * [backup-simplify]: Simplify 0 into 0 19.054 * [taylor]: Taking taylor expansion of 0 in lambda2 19.054 * [backup-simplify]: Simplify 0 into 0 19.054 * [backup-simplify]: Simplify 0 into 0 19.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))) 1) into 0 19.056 * [taylor]: Taking taylor expansion of 0 in lambda2 19.056 * [backup-simplify]: Simplify 0 into 0 19.056 * [backup-simplify]: Simplify 0 into 0 19.057 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))) 1) into 0 19.058 * [backup-simplify]: Simplify 0 into 0 19.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (cos (/ -1 phi2)) (sin (/ -1 lambda2))))) (+ (* (sin (/ -1 phi1)) (sin (/ -1 phi2))) (* (cos (/ -1 phi1)) (* (cos (/ -1 lambda1)) (* (cos (/ -1 lambda2)) (cos (/ -1 phi2)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (acos (+ (* (cos (/ -1 phi1)) (* (sin (/ -1 lambda1)) (* (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)))) 2) into 0 19.061 * [taylor]: Taking taylor expansion of 0 in phi2 19.061 * [backup-simplify]: Simplify 0 into 0 19.061 * [taylor]: Taking taylor expansion of 0 in lambda1 19.061 * [backup-simplify]: Simplify 0 into 0 19.061 * [taylor]: Taking taylor expansion of 0 in lambda2 19.061 * [backup-simplify]: Simplify 0 into 0 19.061 * [backup-simplify]: Simplify 0 into 0 19.062 * [taylor]: Taking taylor expansion of 0 in lambda1 19.062 * [backup-simplify]: Simplify 0 into 0 19.062 * [taylor]: Taking taylor expansion of 0 in lambda2 19.062 * [backup-simplify]: Simplify 0 into 0 19.062 * [backup-simplify]: Simplify 0 into 0 19.063 * [backup-simplify]: Simplify (log (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 (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 19.063 * * * * [progress]: [ 4 / 4 ] generating series at (2) 19.064 * [backup-simplify]: Simplify (* (exp (log (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)))))) 19.064 * [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 19.064 * [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 19.064 * [taylor]: Taking taylor expansion of R in R 19.064 * [backup-simplify]: Simplify 0 into 0 19.064 * [backup-simplify]: Simplify 1 into 1 19.064 * [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 19.064 * [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))))) 19.064 * [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 19.064 * [taylor]: Taking taylor expansion of R in lambda2 19.065 * [backup-simplify]: Simplify R into R 19.065 * [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 19.065 * [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))))) 19.065 * [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 19.065 * [taylor]: Taking taylor expansion of R in lambda1 19.065 * [backup-simplify]: Simplify R into R 19.065 * [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 19.066 * [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))))) 19.066 * [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 19.066 * [taylor]: Taking taylor expansion of R in phi2 19.066 * [backup-simplify]: Simplify R into R 19.066 * [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 19.066 * [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))))) 19.066 * [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 19.067 * [taylor]: Taking taylor expansion of R in phi1 19.067 * [backup-simplify]: Simplify R into R 19.067 * [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 19.067 * [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))))) 19.067 * [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 19.067 * [taylor]: Taking taylor expansion of R in phi1 19.067 * [backup-simplify]: Simplify R into R 19.067 * [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 19.068 * [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))))) 19.069 * [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)))))) 19.069 * [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 19.069 * [taylor]: Taking taylor expansion of R in phi2 19.069 * [backup-simplify]: Simplify R into R 19.069 * [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 19.070 * [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))))) 19.070 * [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)))))) 19.070 * [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 19.070 * [taylor]: Taking taylor expansion of R in lambda1 19.070 * [backup-simplify]: Simplify R into R 19.070 * [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 19.071 * [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))))) 19.072 * [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)))))) 19.072 * [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 19.072 * [taylor]: Taking taylor expansion of R in lambda2 19.072 * [backup-simplify]: Simplify R into R 19.072 * [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 19.072 * [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))))) 19.073 * [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)))))) 19.073 * [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 19.073 * [taylor]: Taking taylor expansion of R in R 19.073 * [backup-simplify]: Simplify 0 into 0 19.073 * [backup-simplify]: Simplify 1 into 1 19.073 * [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 19.074 * [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))))) 19.074 * [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 19.074 * [backup-simplify]: Simplify 0 into 0 19.075 * [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 19.075 * [taylor]: Taking taylor expansion of 0 in phi2 19.075 * [backup-simplify]: Simplify 0 into 0 19.075 * [taylor]: Taking taylor expansion of 0 in lambda1 19.075 * [backup-simplify]: Simplify 0 into 0 19.075 * [taylor]: Taking taylor expansion of 0 in lambda2 19.075 * [backup-simplify]: Simplify 0 into 0 19.075 * [taylor]: Taking taylor expansion of 0 in R 19.075 * [backup-simplify]: Simplify 0 into 0 19.075 * [backup-simplify]: Simplify 0 into 0 19.076 * [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 19.076 * [taylor]: Taking taylor expansion of 0 in lambda1 19.076 * [backup-simplify]: Simplify 0 into 0 19.076 * [taylor]: Taking taylor expansion of 0 in lambda2 19.076 * [backup-simplify]: Simplify 0 into 0 19.076 * [taylor]: Taking taylor expansion of 0 in R 19.076 * [backup-simplify]: Simplify 0 into 0 19.076 * [backup-simplify]: Simplify 0 into 0 19.077 * [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 19.077 * [taylor]: Taking taylor expansion of 0 in lambda2 19.077 * [backup-simplify]: Simplify 0 into 0 19.077 * [taylor]: Taking taylor expansion of 0 in R 19.077 * [backup-simplify]: Simplify 0 into 0 19.077 * [backup-simplify]: Simplify 0 into 0 19.078 * [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 19.078 * [taylor]: Taking taylor expansion of 0 in R 19.078 * [backup-simplify]: Simplify 0 into 0 19.078 * [backup-simplify]: Simplify 0 into 0 19.079 * [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))))) 19.080 * [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))))) 19.081 * [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 19.081 * [taylor]: Taking taylor expansion of 0 in phi2 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [taylor]: Taking taylor expansion of 0 in lambda1 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [taylor]: Taking taylor expansion of 0 in lambda2 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [taylor]: Taking taylor expansion of 0 in R 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [taylor]: Taking taylor expansion of 0 in lambda1 19.081 * [backup-simplify]: Simplify 0 into 0 19.081 * [taylor]: Taking taylor expansion of 0 in lambda2 19.081 * [backup-simplify]: Simplify 0 into 0 19.082 * [taylor]: Taking taylor expansion of 0 in R 19.082 * [backup-simplify]: Simplify 0 into 0 19.082 * [backup-simplify]: Simplify 0 into 0 19.083 * [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 19.083 * [taylor]: Taking taylor expansion of 0 in lambda1 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [taylor]: Taking taylor expansion of 0 in lambda2 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [taylor]: Taking taylor expansion of 0 in R 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [taylor]: Taking taylor expansion of 0 in lambda2 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [taylor]: Taking taylor expansion of 0 in R 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [taylor]: Taking taylor expansion of 0 in lambda2 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [taylor]: Taking taylor expansion of 0 in R 19.083 * [backup-simplify]: Simplify 0 into 0 19.083 * [backup-simplify]: Simplify 0 into 0 19.084 * [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 19.084 * [taylor]: Taking taylor expansion of 0 in lambda2 19.084 * [backup-simplify]: Simplify 0 into 0 19.084 * [taylor]: Taking taylor expansion of 0 in R 19.084 * [backup-simplify]: Simplify 0 into 0 19.084 * [backup-simplify]: Simplify 0 into 0 19.085 * [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)))))) 19.086 * [backup-simplify]: Simplify (* (exp (log (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) 19.086 * [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 19.086 * [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 19.086 * [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 19.086 * [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)))))))) 19.086 * [taylor]: Taking taylor expansion of R in R 19.086 * [backup-simplify]: Simplify 0 into 0 19.086 * [backup-simplify]: Simplify 1 into 1 19.087 * [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)))))))) 19.087 * [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 19.087 * [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 19.087 * [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)))))))) 19.087 * [taylor]: Taking taylor expansion of R in lambda2 19.087 * [backup-simplify]: Simplify R into R 19.088 * [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) 19.088 * [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 19.088 * [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 19.088 * [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)))))))) 19.088 * [taylor]: Taking taylor expansion of R in lambda1 19.088 * [backup-simplify]: Simplify R into R 19.089 * [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) 19.089 * [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 19.089 * [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 19.089 * [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)))))))) 19.089 * [taylor]: Taking taylor expansion of R in phi2 19.089 * [backup-simplify]: Simplify R into R 19.089 * [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) 19.089 * [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 19.089 * [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 19.090 * [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)))))))) 19.090 * [taylor]: Taking taylor expansion of R in phi1 19.090 * [backup-simplify]: Simplify R into R 19.090 * [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) 19.090 * [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 19.090 * [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 19.091 * [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)))))))) 19.091 * [taylor]: Taking taylor expansion of R in phi1 19.091 * [backup-simplify]: Simplify R into R 19.091 * [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) 19.091 * [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 19.091 * [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 19.092 * [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)))))))) 19.092 * [taylor]: Taking taylor expansion of R in phi2 19.092 * [backup-simplify]: Simplify R into R 19.092 * [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) 19.092 * [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 19.092 * [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 19.093 * [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)))))))) 19.093 * [taylor]: Taking taylor expansion of R in lambda1 19.093 * [backup-simplify]: Simplify R into R 19.093 * [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) 19.093 * [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 19.093 * [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 19.094 * [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)))))))) 19.094 * [taylor]: Taking taylor expansion of R in lambda2 19.094 * [backup-simplify]: Simplify R into R 19.094 * [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) 19.094 * [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 19.094 * [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 19.094 * [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)))))))) 19.094 * [taylor]: Taking taylor expansion of R in R 19.094 * [backup-simplify]: Simplify 0 into 0 19.094 * [backup-simplify]: Simplify 1 into 1 19.095 * [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)))))))) 19.095 * [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)))))))) 19.096 * [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 19.096 * [taylor]: Taking taylor expansion of 0 in phi2 19.096 * [backup-simplify]: Simplify 0 into 0 19.096 * [taylor]: Taking taylor expansion of 0 in lambda1 19.096 * [backup-simplify]: Simplify 0 into 0 19.096 * [taylor]: Taking taylor expansion of 0 in lambda2 19.096 * [backup-simplify]: Simplify 0 into 0 19.096 * [taylor]: Taking taylor expansion of 0 in R 19.096 * [backup-simplify]: Simplify 0 into 0 19.096 * [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 19.097 * [taylor]: Taking taylor expansion of 0 in lambda1 19.097 * [backup-simplify]: Simplify 0 into 0 19.097 * [taylor]: Taking taylor expansion of 0 in lambda2 19.097 * [backup-simplify]: Simplify 0 into 0 19.097 * [taylor]: Taking taylor expansion of 0 in R 19.097 * [backup-simplify]: Simplify 0 into 0 19.097 * [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 19.097 * [taylor]: Taking taylor expansion of 0 in lambda2 19.097 * [backup-simplify]: Simplify 0 into 0 19.097 * [taylor]: Taking taylor expansion of 0 in R 19.097 * [backup-simplify]: Simplify 0 into 0 19.098 * [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 19.098 * [taylor]: Taking taylor expansion of 0 in R 19.098 * [backup-simplify]: Simplify 0 into 0 19.099 * [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 19.099 * [backup-simplify]: Simplify 0 into 0 19.099 * [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 19.100 * [taylor]: Taking taylor expansion of 0 in phi2 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in lambda1 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in lambda2 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in R 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in lambda1 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in lambda2 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in R 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [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 19.100 * [taylor]: Taking taylor expansion of 0 in lambda1 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in lambda2 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in R 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in lambda2 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in R 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in lambda2 19.100 * [backup-simplify]: Simplify 0 into 0 19.100 * [taylor]: Taking taylor expansion of 0 in R 19.101 * [backup-simplify]: Simplify 0 into 0 19.101 * [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 19.101 * [taylor]: Taking taylor expansion of 0 in lambda2 19.101 * [backup-simplify]: Simplify 0 into 0 19.101 * [taylor]: Taking taylor expansion of 0 in R 19.101 * [backup-simplify]: Simplify 0 into 0 19.101 * [taylor]: Taking taylor expansion of 0 in R 19.101 * [backup-simplify]: Simplify 0 into 0 19.101 * [taylor]: Taking taylor expansion of 0 in R 19.101 * [backup-simplify]: Simplify 0 into 0 19.101 * [taylor]: Taking taylor expansion of 0 in R 19.101 * [backup-simplify]: Simplify 0 into 0 19.102 * [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 19.102 * [taylor]: Taking taylor expansion of 0 in R 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.102 * [backup-simplify]: Simplify 0 into 0 19.103 * [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 19.103 * [backup-simplify]: Simplify 0 into 0 19.107 * [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) 19.108 * [backup-simplify]: Simplify (* (exp (log (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)) 19.108 * [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 19.108 * [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 19.108 * [taylor]: Taking taylor expansion of -1 in R 19.108 * [backup-simplify]: Simplify -1 into -1 19.108 * [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 19.108 * [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 19.108 * [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)))))))) 19.108 * [taylor]: Taking taylor expansion of R in R 19.109 * [backup-simplify]: Simplify 0 into 0 19.109 * [backup-simplify]: Simplify 1 into 1 19.109 * [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)))))))) 19.109 * [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 19.109 * [taylor]: Taking taylor expansion of -1 in lambda2 19.109 * [backup-simplify]: Simplify -1 into -1 19.109 * [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 19.109 * [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 19.109 * [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)))))))) 19.109 * [taylor]: Taking taylor expansion of R in lambda2 19.109 * [backup-simplify]: Simplify R into R 19.110 * [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) 19.110 * [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 19.110 * [taylor]: Taking taylor expansion of -1 in lambda1 19.110 * [backup-simplify]: Simplify -1 into -1 19.110 * [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 19.110 * [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 19.110 * [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)))))))) 19.110 * [taylor]: Taking taylor expansion of R in lambda1 19.110 * [backup-simplify]: Simplify R into R 19.111 * [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) 19.111 * [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 19.111 * [taylor]: Taking taylor expansion of -1 in phi2 19.111 * [backup-simplify]: Simplify -1 into -1 19.111 * [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 19.111 * [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 19.111 * [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)))))))) 19.111 * [taylor]: Taking taylor expansion of R in phi2 19.111 * [backup-simplify]: Simplify R into R 19.112 * [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) 19.112 * [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 19.112 * [taylor]: Taking taylor expansion of -1 in phi1 19.112 * [backup-simplify]: Simplify -1 into -1 19.112 * [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 19.112 * [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 19.112 * [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)))))))) 19.112 * [taylor]: Taking taylor expansion of R in phi1 19.112 * [backup-simplify]: Simplify R into R 19.113 * [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) 19.113 * [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 19.113 * [taylor]: Taking taylor expansion of -1 in phi1 19.113 * [backup-simplify]: Simplify -1 into -1 19.113 * [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 19.113 * [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 19.113 * [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)))))))) 19.113 * [taylor]: Taking taylor expansion of R in phi1 19.113 * [backup-simplify]: Simplify R into R 19.114 * [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) 19.114 * [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)) 19.114 * [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 19.114 * [taylor]: Taking taylor expansion of -1 in phi2 19.114 * [backup-simplify]: Simplify -1 into -1 19.114 * [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 19.114 * [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 19.115 * [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)))))))) 19.115 * [taylor]: Taking taylor expansion of R in phi2 19.115 * [backup-simplify]: Simplify R into R 19.115 * [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) 19.116 * [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)) 19.116 * [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 19.116 * [taylor]: Taking taylor expansion of -1 in lambda1 19.116 * [backup-simplify]: Simplify -1 into -1 19.116 * [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 19.116 * [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 19.116 * [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)))))))) 19.116 * [taylor]: Taking taylor expansion of R in lambda1 19.116 * [backup-simplify]: Simplify R into R 19.117 * [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) 19.118 * [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)) 19.118 * [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 19.118 * [taylor]: Taking taylor expansion of -1 in lambda2 19.118 * [backup-simplify]: Simplify -1 into -1 19.118 * [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 19.118 * [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 19.119 * [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)))))))) 19.119 * [taylor]: Taking taylor expansion of R in lambda2 19.119 * [backup-simplify]: Simplify R into R 19.120 * [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) 19.121 * [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)) 19.121 * [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 19.121 * [taylor]: Taking taylor expansion of -1 in R 19.121 * [backup-simplify]: Simplify -1 into -1 19.121 * [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 19.121 * [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 19.122 * [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)))))))) 19.122 * [taylor]: Taking taylor expansion of R in R 19.122 * [backup-simplify]: Simplify 0 into 0 19.122 * [backup-simplify]: Simplify 1 into 1 19.123 * [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)))))))) 19.124 * [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))))))))) 19.124 * [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))))))))) 19.126 * [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 19.127 * [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 19.127 * [taylor]: Taking taylor expansion of 0 in phi2 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [taylor]: Taking taylor expansion of 0 in lambda1 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [taylor]: Taking taylor expansion of 0 in lambda2 19.127 * [backup-simplify]: Simplify 0 into 0 19.127 * [taylor]: Taking taylor expansion of 0 in R 19.127 * [backup-simplify]: Simplify 0 into 0 19.129 * [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 19.130 * [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 19.130 * [taylor]: Taking taylor expansion of 0 in lambda1 19.130 * [backup-simplify]: Simplify 0 into 0 19.130 * [taylor]: Taking taylor expansion of 0 in lambda2 19.130 * [backup-simplify]: Simplify 0 into 0 19.130 * [taylor]: Taking taylor expansion of 0 in R 19.130 * [backup-simplify]: Simplify 0 into 0 19.131 * [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 19.133 * [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 19.133 * [taylor]: Taking taylor expansion of 0 in lambda2 19.133 * [backup-simplify]: Simplify 0 into 0 19.133 * [taylor]: Taking taylor expansion of 0 in R 19.133 * [backup-simplify]: Simplify 0 into 0 19.134 * [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 19.135 * [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 19.135 * [taylor]: Taking taylor expansion of 0 in R 19.135 * [backup-simplify]: Simplify 0 into 0 19.137 * [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 19.138 * [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 19.139 * [backup-simplify]: Simplify 0 into 0 19.140 * [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 19.141 * [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 19.141 * [taylor]: Taking taylor expansion of 0 in phi2 19.141 * [backup-simplify]: Simplify 0 into 0 19.141 * [taylor]: Taking taylor expansion of 0 in lambda1 19.142 * [backup-simplify]: Simplify 0 into 0 19.142 * [taylor]: Taking taylor expansion of 0 in lambda2 19.142 * [backup-simplify]: Simplify 0 into 0 19.142 * [taylor]: Taking taylor expansion of 0 in R 19.142 * [backup-simplify]: Simplify 0 into 0 19.142 * [taylor]: Taking taylor expansion of 0 in lambda1 19.142 * [backup-simplify]: Simplify 0 into 0 19.142 * [taylor]: Taking taylor expansion of 0 in lambda2 19.142 * [backup-simplify]: Simplify 0 into 0 19.142 * [taylor]: Taking taylor expansion of 0 in R 19.142 * [backup-simplify]: Simplify 0 into 0 19.143 * [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 19.145 * [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 19.145 * [taylor]: Taking taylor expansion of 0 in lambda1 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [taylor]: Taking taylor expansion of 0 in lambda2 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [taylor]: Taking taylor expansion of 0 in R 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [taylor]: Taking taylor expansion of 0 in lambda2 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [taylor]: Taking taylor expansion of 0 in R 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [taylor]: Taking taylor expansion of 0 in lambda2 19.145 * [backup-simplify]: Simplify 0 into 0 19.145 * [taylor]: Taking taylor expansion of 0 in R 19.145 * [backup-simplify]: Simplify 0 into 0 19.146 * [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 19.148 * [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 19.148 * [taylor]: Taking taylor expansion of 0 in lambda2 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [taylor]: Taking taylor expansion of 0 in R 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [taylor]: Taking taylor expansion of 0 in R 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [taylor]: Taking taylor expansion of 0 in R 19.148 * [backup-simplify]: Simplify 0 into 0 19.148 * [taylor]: Taking taylor expansion of 0 in R 19.148 * [backup-simplify]: Simplify 0 into 0 19.149 * [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 19.151 * [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 19.151 * [taylor]: Taking taylor expansion of 0 in R 19.151 * [backup-simplify]: Simplify 0 into 0 19.151 * [backup-simplify]: Simplify 0 into 0 19.151 * [backup-simplify]: Simplify 0 into 0 19.152 * [backup-simplify]: Simplify 0 into 0 19.152 * [backup-simplify]: Simplify 0 into 0 19.153 * [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 19.154 * [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 19.154 * [backup-simplify]: Simplify 0 into 0 19.155 * [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)))))) 19.155 * * * [progress]: simplifying candidates 19.155 * * * * [progress]: [ 1 / 72 ] simplifiying candidate # 19.156 * [simplify]: Simplifying (log (* (cbrt (exp (* (sin lambda1) (sin lambda2)))) (cbrt (exp (* (sin lambda1) (sin lambda2)))))) 19.156 * * [simplify]: iters left: 6 (9 enodes) 19.158 * * [simplify]: iters left: 5 (32 enodes) 19.162 * * [simplify]: iters left: 4 (42 enodes) 19.168 * * [simplify]: iters left: 3 (55 enodes) 19.176 * * [simplify]: iters left: 2 (82 enodes) 19.194 * * [simplify]: iters left: 1 (147 enodes) 19.237 * * [simplify]: Extracting #0: cost 1 inf + 0 19.237 * * [simplify]: Extracting #1: cost 4 inf + 0 19.237 * * [simplify]: Extracting #2: cost 7 inf + 0 19.237 * * [simplify]: Extracting #3: cost 9 inf + 0 19.238 * * [simplify]: Extracting #4: cost 29 inf + 0 19.238 * * [simplify]: Extracting #5: cost 81 inf + 1 19.238 * * [simplify]: Extracting #6: cost 88 inf + 728 19.239 * * [simplify]: Extracting #7: cost 51 inf + 7790 19.242 * * [simplify]: Extracting #8: cost 10 inf + 27988 19.245 * * [simplify]: Extracting #9: cost 0 inf + 35489 19.249 * * [simplify]: Extracting #10: cost 0 inf + 35027 19.252 * * [simplify]: Extracting #11: cost 0 inf + 34987 19.259 * [simplify]: Simplified to (log (* (cbrt (exp (* (sin lambda2) (sin lambda1)))) (cbrt (exp (* (sin lambda2) (sin lambda1)))))) 19.259 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (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)) 19.259 * * * * [progress]: [ 2 / 72 ] simplifiying candidate # 19.260 * [simplify]: Simplifying (log (sqrt (exp (* (sin lambda1) (sin lambda2))))) 19.260 * * [simplify]: iters left: 6 (8 enodes) 19.263 * * [simplify]: iters left: 5 (27 enodes) 19.270 * * [simplify]: iters left: 4 (35 enodes) 19.281 * * [simplify]: iters left: 3 (49 enodes) 19.288 * * [simplify]: iters left: 2 (76 enodes) 19.302 * * [simplify]: iters left: 1 (141 enodes) 19.336 * * [simplify]: Extracting #0: cost 1 inf + 0 19.336 * * [simplify]: Extracting #1: cost 3 inf + 0 19.336 * * [simplify]: Extracting #2: cost 6 inf + 0 19.336 * * [simplify]: Extracting #3: cost 31 inf + 0 19.337 * * [simplify]: Extracting #4: cost 85 inf + 1 19.337 * * [simplify]: Extracting #5: cost 85 inf + 1064 19.339 * * [simplify]: Extracting #6: cost 53 inf + 5478 19.343 * * [simplify]: Extracting #7: cost 20 inf + 18813 19.349 * * [simplify]: Extracting #8: cost 1 inf + 30565 19.357 * * [simplify]: Extracting #9: cost 0 inf + 30837 19.364 * [simplify]: Simplified to (log (sqrt (exp (* (sin lambda2) (sin lambda1))))) 19.364 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (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)) 19.364 * * * * [progress]: [ 3 / 72 ] simplifiying candidate # 19.365 * [simplify]: Simplifying (log 1) 19.365 * * [simplify]: iters left: 1 (2 enodes) 19.367 * * [simplify]: Extracting #0: cost 1 inf + 0 19.367 * * [simplify]: Extracting #1: cost 0 inf + 1 19.367 * [simplify]: Simplified to 0 19.367 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (+ 0 (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 19.368 * * * * [progress]: [ 4 / 72 ] simplifiying candidate # 19.368 * [simplify]: Simplifying (sin lambda2) 19.368 * * [simplify]: iters left: 1 (2 enodes) 19.369 * * [simplify]: Extracting #0: cost 1 inf + 0 19.369 * * [simplify]: Extracting #1: cost 3 inf + 0 19.369 * * [simplify]: Extracting #2: cost 2 inf + 1 19.369 * * [simplify]: Extracting #3: cost 0 inf + 123 19.369 * [simplify]: Simplified to (sin lambda2) 19.369 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))))) R)) 19.369 * * * * [progress]: [ 5 / 72 ] simplifiying candidate # 19.369 * * * * [progress]: [ 6 / 72 ] simplifiying candidate # 19.370 * [simplify]: Simplifying (sin lambda2) 19.370 * * [simplify]: iters left: 1 (2 enodes) 19.371 * * [simplify]: Extracting #0: cost 1 inf + 0 19.371 * * [simplify]: Extracting #1: cost 3 inf + 0 19.371 * * [simplify]: Extracting #2: cost 2 inf + 1 19.371 * * [simplify]: Extracting #3: cost 0 inf + 123 19.371 * [simplify]: Simplified to (sin lambda2) 19.371 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (log (exp (sin lambda1)))))))))) R)) 19.371 * * * * [progress]: [ 7 / 72 ] simplifiying candidate # 19.371 * * * * [progress]: [ 8 / 72 ] simplifiying candidate # 19.371 * [simplify]: Simplifying (sin lambda1) 19.372 * * [simplify]: iters left: 1 (2 enodes) 19.372 * * [simplify]: Extracting #0: cost 1 inf + 0 19.372 * * [simplify]: Extracting #1: cost 3 inf + 0 19.372 * * [simplify]: Extracting #2: cost 2 inf + 1 19.372 * * [simplify]: Extracting #3: cost 0 inf + 123 19.373 * [simplify]: Simplified to (sin lambda1) 19.373 * [simplify]: Simplified (2 1 1 1 1 2 2 2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) 19.373 * * * * [progress]: [ 9 / 72 ] simplifiying candidate # 19.373 * * * * [progress]: [ 10 / 72 ] simplifiying candidate # 19.373 * * * * [progress]: [ 11 / 72 ] simplifiying candidate # 19.373 * * * * [progress]: [ 12 / 72 ] simplifiying candidate # 19.373 * * * * [progress]: [ 13 / 72 ] simplifiying candidate # 19.373 * * * * [progress]: [ 14 / 72 ] simplifiying candidate # 19.373 * * * * [progress]: [ 15 / 72 ] simplifiying candidate #real (real->posit16 (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> 19.373 * * * * [progress]: [ 16 / 72 ] simplifiying candidate # 19.373 * * * * [progress]: [ 17 / 72 ] simplifiying candidate # 19.374 * * * * [progress]: [ 18 / 72 ] simplifiying candidate # 19.374 * * * * [progress]: [ 19 / 72 ] simplifiying candidate # 19.374 * * * * [progress]: [ 20 / 72 ] simplifiying candidate # 19.374 * * * * [progress]: [ 21 / 72 ] simplifiying candidate # 19.374 * * * * [progress]: [ 22 / 72 ] simplifiying candidate # 19.374 * * * * [progress]: [ 23 / 72 ] simplifiying candidate # 19.374 * * * * [progress]: [ 24 / 72 ] 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))> 19.374 * * * * [progress]: [ 25 / 72 ] simplifiying candidate # 19.374 * [simplify]: Simplifying (log (* (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))))))))))) 19.375 * * [simplify]: iters left: 6 (25 enodes) 19.385 * * [simplify]: iters left: 5 (92 enodes) 19.415 * * [simplify]: iters left: 4 (166 enodes) 19.477 * * [simplify]: iters left: 3 (291 enodes) 19.552 * * [simplify]: iters left: 2 (442 enodes) 19.659 * * [simplify]: Extracting #0: cost 1 inf + 0 19.659 * * [simplify]: Extracting #1: cost 4 inf + 0 19.659 * * [simplify]: Extracting #2: cost 7 inf + 0 19.659 * * [simplify]: Extracting #3: cost 9 inf + 0 19.659 * * [simplify]: Extracting #4: cost 11 inf + 0 19.659 * * [simplify]: Extracting #5: cost 18 inf + 0 19.659 * * [simplify]: Extracting #6: cost 63 inf + 0 19.660 * * [simplify]: Extracting #7: cost 131 inf + 0 19.660 * * [simplify]: Extracting #8: cost 152 inf + 1182 19.665 * * [simplify]: Extracting #9: cost 99 inf + 14375 19.670 * * [simplify]: Extracting #10: cost 57 inf + 29880 19.678 * * [simplify]: Extracting #11: cost 3 inf + 57145 19.687 * * [simplify]: Extracting #12: cost 0 inf + 59467 19.703 * [simplify]: Simplified to (+ (log (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (log (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) 19.703 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (+ (+ (log (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (log (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))))) (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R)) 19.703 * * * * [progress]: [ 26 / 72 ] simplifiying candidate # 19.704 * [simplify]: Simplifying (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) 19.704 * * [simplify]: iters left: 6 (24 enodes) 19.714 * * [simplify]: iters left: 5 (87 enodes) 19.732 * * [simplify]: iters left: 4 (159 enodes) 19.763 * * [simplify]: iters left: 3 (284 enodes) 19.837 * * [simplify]: iters left: 2 (431 enodes) 19.966 * * [simplify]: Extracting #0: cost 1 inf + 0 19.966 * * [simplify]: Extracting #1: cost 3 inf + 0 19.966 * * [simplify]: Extracting #2: cost 5 inf + 0 19.966 * * [simplify]: Extracting #3: cost 7 inf + 0 19.966 * * [simplify]: Extracting #4: cost 16 inf + 0 19.966 * * [simplify]: Extracting #5: cost 67 inf + 0 19.967 * * [simplify]: Extracting #6: cost 137 inf + 0 19.968 * * [simplify]: Extracting #7: cost 147 inf + 1334 19.972 * * [simplify]: Extracting #8: cost 91 inf + 14640 19.985 * * [simplify]: Extracting #9: cost 33 inf + 38011 20.001 * * [simplify]: Extracting #10: cost 6 inf + 51598 20.021 * * [simplify]: Extracting #11: cost 1 inf + 55149 20.033 * * [simplify]: Extracting #12: cost 0 inf + 56113 20.041 * [simplify]: Simplified to (log (sqrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) 20.041 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (+ (log (sqrt (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))))) (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R)) 20.042 * * * * [progress]: [ 27 / 72 ] simplifiying candidate # 20.042 * [simplify]: Simplifying (log 1) 20.042 * * [simplify]: iters left: 1 (2 enodes) 20.044 * * [simplify]: Extracting #0: cost 1 inf + 0 20.044 * * [simplify]: Extracting #1: cost 0 inf + 1 20.044 * [simplify]: Simplified to 0 20.044 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (+ 0 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R)) 20.044 * * * * [progress]: [ 28 / 72 ] simplifiying candidate # 20.044 * * * * [progress]: [ 29 / 72 ] simplifiying candidate # 20.045 * * * * [progress]: [ 30 / 72 ] simplifiying candidate # 20.045 * [simplify]: Simplifying (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))) 20.045 * * [simplify]: iters left: 6 (22 enodes) 20.050 * * [simplify]: iters left: 5 (81 enodes) 20.066 * * [simplify]: iters left: 4 (153 enodes) 20.121 * * [simplify]: iters left: 3 (279 enodes) 20.190 * * [simplify]: iters left: 2 (427 enodes) 20.288 * * [simplify]: Extracting #0: cost 1 inf + 0 20.288 * * [simplify]: Extracting #1: cost 3 inf + 0 20.288 * * [simplify]: Extracting #2: cost 12 inf + 0 20.288 * * [simplify]: Extracting #3: cost 63 inf + 0 20.289 * * [simplify]: Extracting #4: cost 133 inf + 0 20.289 * * [simplify]: Extracting #5: cost 135 inf + 2388 20.292 * * [simplify]: Extracting #6: cost 82 inf + 18458 20.298 * * [simplify]: Extracting #7: cost 20 inf + 42839 20.308 * * [simplify]: Extracting #8: cost 4 inf + 50395 20.322 * * [simplify]: Extracting #9: cost 0 inf + 52951 20.331 * [simplify]: Simplified to (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi2) (sin phi1)))) 20.331 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2))) (* (sin phi2) (sin phi1)))))) R)) 20.331 * * * * [progress]: [ 31 / 72 ] simplifiying candidate # 20.331 * * * * [progress]: [ 32 / 72 ] simplifiying candidate # 20.331 * * * * [progress]: [ 33 / 72 ] simplifiying candidate # 20.331 * * * * [progress]: [ 34 / 72 ] simplifiying candidate # 20.331 * * * * [progress]: [ 35 / 72 ] simplifiying candidate # 20.331 * * * * [progress]: [ 36 / 72 ] simplifiying candidate # 20.331 * * * * [progress]: [ 37 / 72 ] simplifiying candidate #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> 20.331 * * * * [progress]: [ 38 / 72 ] simplifiying candidate # 20.331 * [simplify]: Simplifying (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R) 20.332 * * [simplify]: iters left: 6 (26 enodes) 20.337 * * [simplify]: iters left: 5 (92 enodes) 20.353 * * [simplify]: iters left: 4 (164 enodes) 20.413 * * [simplify]: iters left: 3 (288 enodes) 20.501 * * [simplify]: iters left: 2 (435 enodes) 20.596 * * [simplify]: Extracting #0: cost 1 inf + 0 20.597 * * [simplify]: Extracting #1: cost 4 inf + 0 20.597 * * [simplify]: Extracting #2: cost 6 inf + 1 20.597 * * [simplify]: Extracting #3: cost 16 inf + 1 20.597 * * [simplify]: Extracting #4: cost 67 inf + 1 20.597 * * [simplify]: Extracting #5: cost 137 inf + 1 20.598 * * [simplify]: Extracting #6: cost 146 inf + 1690 20.601 * * [simplify]: Extracting #7: cost 78 inf + 24704 20.613 * * [simplify]: Extracting #8: cost 20 inf + 48689 20.630 * * [simplify]: Extracting #9: cost 1 inf + 56351 20.640 * * [simplify]: Extracting #10: cost 0 inf + 56310 20.648 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) 20.649 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (pow (* R (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) 1)) 20.649 * * * * [progress]: [ 39 / 72 ] simplifiying candidate # 20.649 * * * * [progress]: [ 40 / 72 ] simplifiying candidate # 20.649 * [simplify]: Simplifying (+ (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))) (log R)) 20.649 * * [simplify]: iters left: 6 (26 enodes) 20.654 * * [simplify]: iters left: 5 (94 enodes) 20.679 * * [simplify]: iters left: 4 (166 enodes) 20.716 * * [simplify]: iters left: 3 (290 enodes) 20.795 * * [simplify]: iters left: 2 (437 enodes) 20.926 * * [simplify]: Extracting #0: cost 1 inf + 0 20.926 * * [simplify]: Extracting #1: cost 4 inf + 0 20.926 * * [simplify]: Extracting #2: cost 8 inf + 0 20.926 * * [simplify]: Extracting #3: cost 8 inf + 72 20.926 * * [simplify]: Extracting #4: cost 16 inf + 143 20.926 * * [simplify]: Extracting #5: cost 67 inf + 143 20.927 * * [simplify]: Extracting #6: cost 137 inf + 143 20.927 * * [simplify]: Extracting #7: cost 148 inf + 1781 20.930 * * [simplify]: Extracting #8: cost 96 inf + 14358 20.935 * * [simplify]: Extracting #9: cost 44 inf + 36529 20.944 * * [simplify]: Extracting #10: cost 1 inf + 56398 20.959 * * [simplify]: Extracting #11: cost 0 inf + 56581 20.976 * [simplify]: Simplified to (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 20.976 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (exp (+ (log R) (log (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))))) 20.976 * * * * [progress]: [ 41 / 72 ] simplifiying candidate # 20.977 * * * * [progress]: [ 42 / 72 ] simplifiying candidate # 20.977 * * * * [progress]: [ 43 / 72 ] simplifiying candidate # 20.977 * [simplify]: Simplifying (* (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (* (* R R) R)) 20.977 * * [simplify]: iters left: 6 (30 enodes) 20.991 * * [simplify]: iters left: 5 (112 enodes) 21.016 * * [simplify]: iters left: 4 (219 enodes) 21.067 * * [simplify]: iters left: 3 (402 enodes) 21.197 * * [simplify]: Extracting #0: cost 1 inf + 0 21.197 * * [simplify]: Extracting #1: cost 28 inf + 0 21.197 * * [simplify]: Extracting #2: cost 59 inf + 1 21.198 * * [simplify]: Extracting #3: cost 65 inf + 247 21.198 * * [simplify]: Extracting #4: cost 122 inf + 884 21.199 * * [simplify]: Extracting #5: cost 167 inf + 884 21.201 * * [simplify]: Extracting #6: cost 166 inf + 1984 21.204 * * [simplify]: Extracting #7: cost 138 inf + 9383 21.214 * * [simplify]: Extracting #8: cost 77 inf + 35722 21.236 * * [simplify]: Extracting #9: cost 18 inf + 79052 21.267 * * [simplify]: Extracting #10: cost 0 inf + 95216 21.302 * * [simplify]: Extracting #11: cost 0 inf + 95136 21.335 * [simplify]: Simplified to (* (* (* (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))) R)) 21.335 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (cbrt (* (* (* (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))) R) (* (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))) R)) (* (acos (+ (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)) (* (sin phi2) (sin phi1)))) R)))) 21.335 * * * * [progress]: [ 44 / 72 ] simplifiying candidate # 21.335 * * * * [progress]: [ 45 / 72 ] simplifiying candidate # 21.335 * * * * [progress]: [ 46 / 72 ] simplifiying candidate # 21.335 * * * * [progress]: [ 47 / 72 ] simplifiying candidate # 21.335 * * * * [progress]: [ 48 / 72 ] simplifiying candidate # 21.336 * [simplify]: Simplifying (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) 21.336 * * [simplify]: iters left: 6 (28 enodes) 21.347 * * [simplify]: iters left: 5 (98 enodes) 21.377 * * [simplify]: iters left: 4 (170 enodes) 21.437 * * [simplify]: iters left: 3 (295 enodes) 21.537 * * [simplify]: iters left: 2 (444 enodes) 21.657 * * [simplify]: Extracting #0: cost 1 inf + 0 21.657 * * [simplify]: Extracting #1: cost 4 inf + 0 21.657 * * [simplify]: Extracting #2: cost 9 inf + 0 21.657 * * [simplify]: Extracting #3: cost 10 inf + 42 21.657 * * [simplify]: Extracting #4: cost 18 inf + 83 21.658 * * [simplify]: Extracting #5: cost 69 inf + 83 21.658 * * [simplify]: Extracting #6: cost 139 inf + 83 21.660 * * [simplify]: Extracting #7: cost 144 inf + 2206 21.665 * * [simplify]: Extracting #8: cost 89 inf + 19303 21.678 * * [simplify]: Extracting #9: cost 36 inf + 45051 21.695 * * [simplify]: Extracting #10: cost 2 inf + 57403 21.711 * * [simplify]: Extracting #11: cost 0 inf + 57906 21.720 * * [simplify]: Extracting #12: cost 0 inf + 57785 21.728 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)) 21.728 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)))) 21.729 * [simplify]: Simplifying (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) 21.729 * * [simplify]: iters left: 6 (28 enodes) 21.735 * * [simplify]: iters left: 5 (98 enodes) 21.753 * * [simplify]: iters left: 4 (170 enodes) 21.793 * * [simplify]: iters left: 3 (295 enodes) 21.867 * * [simplify]: iters left: 2 (444 enodes) 21.957 * * [simplify]: Extracting #0: cost 1 inf + 0 21.957 * * [simplify]: Extracting #1: cost 4 inf + 0 21.957 * * [simplify]: Extracting #2: cost 9 inf + 0 21.958 * * [simplify]: Extracting #3: cost 10 inf + 42 21.958 * * [simplify]: Extracting #4: cost 18 inf + 83 21.958 * * [simplify]: Extracting #5: cost 69 inf + 83 21.959 * * [simplify]: Extracting #6: cost 139 inf + 83 21.960 * * [simplify]: Extracting #7: cost 144 inf + 2206 21.966 * * [simplify]: Extracting #8: cost 89 inf + 19303 21.978 * * [simplify]: Extracting #9: cost 36 inf + 45051 21.986 * * [simplify]: Extracting #10: cost 2 inf + 57403 21.997 * * [simplify]: Extracting #11: cost 0 inf + 57906 22.008 * * [simplify]: Extracting #12: cost 0 inf + 57785 22.025 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)) 22.026 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)))) 22.026 * * * * [progress]: [ 49 / 72 ] simplifiying candidate # 22.026 * [simplify]: Simplifying (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) 22.027 * * [simplify]: iters left: 6 (28 enodes) 22.038 * * [simplify]: iters left: 5 (98 enodes) 22.063 * * [simplify]: iters left: 4 (170 enodes) 22.103 * * [simplify]: iters left: 3 (295 enodes) 22.175 * * [simplify]: iters left: 2 (444 enodes) 22.294 * * [simplify]: Extracting #0: cost 1 inf + 0 22.294 * * [simplify]: Extracting #1: cost 4 inf + 0 22.295 * * [simplify]: Extracting #2: cost 8 inf + 0 22.295 * * [simplify]: Extracting #3: cost 8 inf + 83 22.295 * * [simplify]: Extracting #4: cost 18 inf + 83 22.295 * * [simplify]: Extracting #5: cost 69 inf + 83 22.296 * * [simplify]: Extracting #6: cost 139 inf + 83 22.297 * * [simplify]: Extracting #7: cost 145 inf + 1943 22.303 * * [simplify]: Extracting #8: cost 89 inf + 18823 22.316 * * [simplify]: Extracting #9: cost 38 inf + 42895 22.333 * * [simplify]: Extracting #10: cost 5 inf + 55303 22.343 * * [simplify]: Extracting #11: cost 0 inf + 57826 22.352 * * [simplify]: Extracting #12: cost 0 inf + 57705 22.361 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)) 22.362 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)))) 22.362 * [simplify]: Simplifying (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) 22.362 * * [simplify]: iters left: 6 (28 enodes) 22.371 * * [simplify]: iters left: 5 (98 enodes) 22.405 * * [simplify]: iters left: 4 (170 enodes) 22.464 * * [simplify]: iters left: 3 (295 enodes) 22.556 * * [simplify]: iters left: 2 (444 enodes) 22.668 * * [simplify]: Extracting #0: cost 1 inf + 0 22.668 * * [simplify]: Extracting #1: cost 4 inf + 0 22.668 * * [simplify]: Extracting #2: cost 8 inf + 0 22.668 * * [simplify]: Extracting #3: cost 8 inf + 83 22.668 * * [simplify]: Extracting #4: cost 18 inf + 83 22.668 * * [simplify]: Extracting #5: cost 69 inf + 83 22.668 * * [simplify]: Extracting #6: cost 139 inf + 83 22.669 * * [simplify]: Extracting #7: cost 145 inf + 1943 22.672 * * [simplify]: Extracting #8: cost 89 inf + 18823 22.678 * * [simplify]: Extracting #9: cost 38 inf + 42895 22.689 * * [simplify]: Extracting #10: cost 5 inf + 55303 22.699 * * [simplify]: Extracting #11: cost 0 inf + 57826 22.715 * * [simplify]: Extracting #12: cost 0 inf + 57705 22.723 * [simplify]: Simplified to (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)) 22.724 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (sqrt R)) (* (sqrt (acos (+ (* (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))) (cos phi2)) (cos phi1)) (* (sin phi2) (sin phi1))))) (sqrt R)))) 22.724 * * * * [progress]: [ 50 / 72 ] simplifiying candidate # 22.724 * [simplify]: Simplifying (cbrt R) 22.724 * * [simplify]: iters left: 1 (2 enodes) 22.724 * * [simplify]: Extracting #0: cost 1 inf + 0 22.724 * * [simplify]: Extracting #1: cost 3 inf + 0 22.724 * * [simplify]: Extracting #2: cost 2 inf + 1 22.725 * * [simplify]: Extracting #3: cost 0 inf + 163 22.725 * [simplify]: Simplified to (cbrt R) 22.725 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (exp (log (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))) 22.725 * * * * [progress]: [ 51 / 72 ] simplifiying candidate # 22.725 * [simplify]: Simplifying (sqrt R) 22.725 * * [simplify]: iters left: 1 (2 enodes) 22.725 * * [simplify]: Extracting #0: cost 1 inf + 0 22.725 * * [simplify]: Extracting #1: cost 3 inf + 0 22.725 * * [simplify]: Extracting #2: cost 2 inf + 1 22.725 * * [simplify]: Extracting #3: cost 0 inf + 83 22.725 * [simplify]: Simplified to (sqrt R) 22.725 * [simplify]: Simplified (2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) (sqrt R)) (sqrt R))) 22.726 * * * * [progress]: [ 52 / 72 ] simplifiying candidate # 22.726 * * * * [progress]: [ 53 / 72 ] simplifiying candidate # 22.726 * [simplify]: Simplifying (exp (log (* (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)))))))))))) 22.726 * * [simplify]: iters left: 6 (26 enodes) 22.731 * * [simplify]: iters left: 5 (93 enodes) 22.747 * * [simplify]: iters left: 4 (169 enodes) 22.786 * * [simplify]: iters left: 3 (294 enodes) 22.869 * * [simplify]: iters left: 2 (443 enodes) 23.021 * * [simplify]: Extracting #0: cost 1 inf + 0 23.021 * * [simplify]: Extracting #1: cost 4 inf + 0 23.021 * * [simplify]: Extracting #2: cost 8 inf + 0 23.021 * * [simplify]: Extracting #3: cost 11 inf + 0 23.021 * * [simplify]: Extracting #4: cost 20 inf + 0 23.022 * * [simplify]: Extracting #5: cost 71 inf + 0 23.022 * * [simplify]: Extracting #6: cost 141 inf + 0 23.024 * * [simplify]: Extracting #7: cost 150 inf + 1718 23.029 * * [simplify]: Extracting #8: cost 104 inf + 14855 23.040 * * [simplify]: Extracting #9: cost 49 inf + 35136 23.057 * * [simplify]: Extracting #10: cost 4 inf + 58002 23.068 * * [simplify]: Extracting #11: cost 0 inf + 60662 23.077 * * [simplify]: Extracting #12: cost 0 inf + 60582 23.087 * [simplify]: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) 23.087 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))))))) (* (exp (log (cbrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R))) 23.087 * * * * [progress]: [ 54 / 72 ] simplifiying candidate # 23.087 * [simplify]: Simplifying (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) 23.087 * * [simplify]: iters left: 6 (25 enodes) 23.094 * * [simplify]: iters left: 5 (88 enodes) 23.118 * * [simplify]: iters left: 4 (160 enodes) 23.147 * * [simplify]: iters left: 3 (286 enodes) 23.212 * * [simplify]: iters left: 2 (434 enodes) 23.343 * * [simplify]: Extracting #0: cost 1 inf + 0 23.343 * * [simplify]: Extracting #1: cost 4 inf + 0 23.343 * * [simplify]: Extracting #2: cost 7 inf + 0 23.343 * * [simplify]: Extracting #3: cost 16 inf + 0 23.343 * * [simplify]: Extracting #4: cost 67 inf + 0 23.343 * * [simplify]: Extracting #5: cost 137 inf + 0 23.344 * * [simplify]: Extracting #6: cost 145 inf + 1617 23.346 * * [simplify]: Extracting #7: cost 108 inf + 10542 23.351 * * [simplify]: Extracting #8: cost 37 inf + 36489 23.359 * * [simplify]: Extracting #9: cost 6 inf + 51553 23.375 * * [simplify]: Extracting #10: cost 0 inf + 56236 23.387 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) 23.387 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) (* (exp (log (sqrt (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R))) 23.387 * * * * [progress]: [ 55 / 72 ] simplifiying candidate # 23.387 * [simplify]: Simplifying (exp (log 1)) 23.387 * * [simplify]: iters left: 2 (3 enodes) 23.389 * * [simplify]: iters left: 1 (9 enodes) 23.390 * * [simplify]: Extracting #0: cost 1 inf + 0 23.390 * * [simplify]: Extracting #1: cost 0 inf + 1 23.390 * [simplify]: Simplified to 1 23.390 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* 1 (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))) 23.390 * * * * [progress]: [ 56 / 72 ] simplifiying candidate # 23.390 * [simplify]: Simplifying (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) 23.391 * * [simplify]: iters left: 6 (26 enodes) 23.396 * * [simplify]: iters left: 5 (91 enodes) 23.412 * * [simplify]: iters left: 4 (163 enodes) 23.468 * * [simplify]: iters left: 3 (287 enodes) 23.570 * * [simplify]: iters left: 2 (440 enodes) 23.740 * * [simplify]: Extracting #0: cost 1 inf + 0 23.740 * * [simplify]: Extracting #1: cost 3 inf + 0 23.740 * * [simplify]: Extracting #2: cost 5 inf + 0 23.740 * * [simplify]: Extracting #3: cost 8 inf + 0 23.740 * * [simplify]: Extracting #4: cost 18 inf + 0 23.740 * * [simplify]: Extracting #5: cost 69 inf + 0 23.741 * * [simplify]: Extracting #6: cost 139 inf + 0 23.742 * * [simplify]: Extracting #7: cost 153 inf + 918 23.746 * * [simplify]: Extracting #8: cost 102 inf + 13186 23.758 * * [simplify]: Extracting #9: cost 30 inf + 41565 23.774 * * [simplify]: Extracting #10: cost 1 inf + 57130 23.791 * * [simplify]: Extracting #11: cost 0 inf + 58104 23.809 * [simplify]: Simplified to (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)))))) 23.809 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (* (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2))))) (cbrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1)))) (cos phi2)))))) (* (cbrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R))) 23.809 * * * * [progress]: [ 57 / 72 ] simplifiying candidate # 23.810 * [simplify]: Simplifying (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) 23.810 * * [simplify]: iters left: 6 (25 enodes) 23.820 * * [simplify]: iters left: 5 (88 enodes) 23.847 * * [simplify]: iters left: 4 (160 enodes) 23.905 * * [simplify]: iters left: 3 (286 enodes) 23.967 * * [simplify]: iters left: 2 (434 enodes) 24.089 * * [simplify]: Extracting #0: cost 1 inf + 0 24.089 * * [simplify]: Extracting #1: cost 3 inf + 0 24.089 * * [simplify]: Extracting #2: cost 6 inf + 0 24.089 * * [simplify]: Extracting #3: cost 16 inf + 0 24.089 * * [simplify]: Extracting #4: cost 67 inf + 0 24.090 * * [simplify]: Extracting #5: cost 137 inf + 0 24.091 * * [simplify]: Extracting #6: cost 146 inf + 1455 24.094 * * [simplify]: Extracting #7: cost 106 inf + 10907 24.105 * * [simplify]: Extracting #8: cost 34 inf + 39161 24.122 * * [simplify]: Extracting #9: cost 2 inf + 55149 24.139 * * [simplify]: Extracting #10: cost 0 inf + 56156 24.156 * [simplify]: Simplified to (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) 24.156 * [simplify]: Simplified (2 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (sqrt (acos (+ (* (sin phi2) (sin phi1)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda2) (sin lambda1))))))) (* (sqrt (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))))))))) R))) 24.157 * * * * [progress]: [ 58 / 72 ] simplifiying candidate # 24.157 * * * * [progress]: [ 59 / 72 ] simplifiying candidate #real (real->posit16 (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))) R))))> 24.157 * * * * [progress]: [ 60 / 72 ] simplifiying candidate # 24.157 * * * * [progress]: [ 61 / 72 ] simplifiying candidate # 24.158 * [simplify]: Simplifying (* lambda2 lambda1) 24.158 * * [simplify]: iters left: 2 (3 enodes) 24.159 * * [simplify]: iters left: 1 (10 enodes) 24.162 * * [simplify]: Extracting #0: cost 1 inf + 0 24.162 * * [simplify]: Extracting #1: cost 4 inf + 0 24.162 * * [simplify]: Extracting #2: cost 2 inf + 2 24.162 * * [simplify]: Extracting #3: cost 0 inf + 86 24.162 * [simplify]: Simplified to (* lambda2 lambda1) 24.162 * [simplify]: Simplified (2 1 1 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* lambda2 lambda1))))))) R)) 24.162 * * * * [progress]: [ 62 / 72 ] simplifiying candidate # 24.163 * [simplify]: Simplifying (* (sin lambda2) (sin lambda1)) 24.163 * * [simplify]: iters left: 3 (5 enodes) 24.165 * * [simplify]: iters left: 2 (16 enodes) 24.167 * * [simplify]: Extracting #0: cost 1 inf + 0 24.167 * * [simplify]: Extracting #1: cost 4 inf + 0 24.167 * * [simplify]: Extracting #2: cost 8 inf + 0 24.167 * * [simplify]: Extracting #3: cost 4 inf + 124 24.167 * * [simplify]: Extracting #4: cost 0 inf + 570 24.167 * [simplify]: Simplified to (* (sin lambda1) (sin lambda2)) 24.167 * [simplify]: Simplified (2 1 1 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))))) R)) 24.167 * * * * [progress]: [ 63 / 72 ] simplifiying candidate # 24.167 * [simplify]: Simplifying (* (sin lambda1) (sin lambda2)) 24.167 * * [simplify]: iters left: 3 (5 enodes) 24.168 * * [simplify]: iters left: 2 (16 enodes) 24.172 * * [simplify]: Extracting #0: cost 1 inf + 0 24.172 * * [simplify]: Extracting #1: cost 4 inf + 0 24.173 * * [simplify]: Extracting #2: cost 8 inf + 0 24.173 * * [simplify]: Extracting #3: cost 4 inf + 124 24.173 * * [simplify]: Extracting #4: cost 0 inf + 570 24.173 * [simplify]: Simplified to (* (sin lambda2) (sin lambda1)) 24.173 * [simplify]: Simplified (2 1 1 1 1 2 2 2) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))))))) R)) 24.173 * * * * [progress]: [ 64 / 72 ] simplifiying candidate # 24.173 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.173 * * [simplify]: iters left: 6 (22 enodes) 24.178 * * [simplify]: iters left: 5 (84 enodes) 24.191 * * [simplify]: iters left: 4 (141 enodes) 24.216 * * [simplify]: iters left: 3 (241 enodes) 24.265 * * [simplify]: iters left: 2 (280 enodes) 24.304 * * [simplify]: Extracting #0: cost 1 inf + 0 24.305 * * [simplify]: Extracting #1: cost 3 inf + 0 24.305 * * [simplify]: Extracting #2: cost 10 inf + 0 24.305 * * [simplify]: Extracting #3: cost 46 inf + 0 24.305 * * [simplify]: Extracting #4: cost 80 inf + 0 24.305 * * [simplify]: Extracting #5: cost 63 inf + 1504 24.307 * * [simplify]: Extracting #6: cost 22 inf + 9796 24.310 * * [simplify]: Extracting #7: cost 5 inf + 17031 24.314 * * [simplify]: Extracting #8: cost 0 inf + 19888 24.319 * * [simplify]: Extracting #9: cost 0 inf + 19728 24.326 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 24.326 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) 24.326 * * * * [progress]: [ 65 / 72 ] simplifiying candidate # 24.326 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 24.327 * * [simplify]: iters left: 6 (22 enodes) 24.336 * * [simplify]: iters left: 5 (84 enodes) 24.361 * * [simplify]: iters left: 4 (141 enodes) 24.408 * * [simplify]: iters left: 3 (241 enodes) 24.484 * * [simplify]: iters left: 2 (280 enodes) 24.559 * * [simplify]: Extracting #0: cost 1 inf + 0 24.559 * * [simplify]: Extracting #1: cost 3 inf + 0 24.559 * * [simplify]: Extracting #2: cost 10 inf + 0 24.559 * * [simplify]: Extracting #3: cost 46 inf + 0 24.559 * * [simplify]: Extracting #4: cost 80 inf + 0 24.560 * * [simplify]: Extracting #5: cost 58 inf + 2112 24.565 * * [simplify]: Extracting #6: cost 20 inf + 10221 24.571 * * [simplify]: Extracting #7: cost 2 inf + 18300 24.578 * * [simplify]: Extracting #8: cost 0 inf + 19888 24.585 * * [simplify]: Extracting #9: cost 0 inf + 19728 24.588 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))) 24.588 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1))) (* (cos phi2) (cos phi1))))))) R)) 24.588 * * * * [progress]: [ 66 / 72 ] simplifiying candidate # 24.589 * [simplify]: Simplifying (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2))))) 24.589 * * [simplify]: iters left: 6 (22 enodes) 24.594 * * [simplify]: iters left: 5 (84 enodes) 24.606 * * [simplify]: iters left: 4 (141 enodes) 24.639 * * [simplify]: iters left: 3 (241 enodes) 24.683 * * [simplify]: iters left: 2 (280 enodes) 24.744 * * [simplify]: Extracting #0: cost 1 inf + 0 24.745 * * [simplify]: Extracting #1: cost 3 inf + 0 24.745 * * [simplify]: Extracting #2: cost 10 inf + 0 24.745 * * [simplify]: Extracting #3: cost 46 inf + 0 24.745 * * [simplify]: Extracting #4: cost 80 inf + 0 24.746 * * [simplify]: Extracting #5: cost 63 inf + 1504 24.749 * * [simplify]: Extracting #6: cost 22 inf + 9796 24.754 * * [simplify]: Extracting #7: cost 5 inf + 17031 24.761 * * [simplify]: Extracting #8: cost 0 inf + 19888 24.768 * * [simplify]: Extracting #9: cost 0 inf + 19728 24.774 * [simplify]: Simplified to (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))) 24.774 * [simplify]: Simplified (2 1 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (sin phi1) (sin phi2)) (* (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1))) (* (cos phi2) (cos phi1))))))) R)) 24.775 * * * * [progress]: [ 67 / 72 ] simplifiying candidate # 24.775 * [simplify]: Simplifying (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 24.775 * * [simplify]: iters left: 6 (23 enodes) 24.785 * * [simplify]: iters left: 5 (87 enodes) 24.810 * * [simplify]: iters left: 4 (144 enodes) 24.855 * * [simplify]: iters left: 3 (245 enodes) 24.904 * * [simplify]: iters left: 2 (290 enodes) 24.945 * * [simplify]: Extracting #0: cost 1 inf + 0 24.945 * * [simplify]: Extracting #1: cost 3 inf + 0 24.945 * * [simplify]: Extracting #2: cost 5 inf + 0 24.945 * * [simplify]: Extracting #3: cost 12 inf + 0 24.945 * * [simplify]: Extracting #4: cost 48 inf + 0 24.946 * * [simplify]: Extracting #5: cost 82 inf + 0 24.946 * * [simplify]: Extracting #6: cost 68 inf + 917 24.947 * * [simplify]: Extracting #7: cost 37 inf + 6545 24.950 * * [simplify]: Extracting #8: cost 6 inf + 17113 24.953 * * [simplify]: Extracting #9: cost 2 inf + 19838 24.958 * * [simplify]: Extracting #10: cost 0 inf + 21576 24.964 * [simplify]: Simplified to (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 24.965 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R)) 24.965 * * * * [progress]: [ 68 / 72 ] simplifiying candidate # 24.965 * [simplify]: Simplifying (log (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) 24.965 * * [simplify]: iters left: 6 (23 enodes) 24.975 * * [simplify]: iters left: 5 (87 enodes) 24.991 * * [simplify]: iters left: 4 (144 enodes) 25.020 * * [simplify]: iters left: 3 (245 enodes) 25.071 * * [simplify]: iters left: 2 (290 enodes) 25.126 * * [simplify]: Extracting #0: cost 1 inf + 0 25.126 * * [simplify]: Extracting #1: cost 3 inf + 0 25.126 * * [simplify]: Extracting #2: cost 5 inf + 0 25.126 * * [simplify]: Extracting #3: cost 12 inf + 0 25.127 * * [simplify]: Extracting #4: cost 48 inf + 0 25.127 * * [simplify]: Extracting #5: cost 82 inf + 0 25.128 * * [simplify]: Extracting #6: cost 65 inf + 1201 25.129 * * [simplify]: Extracting #7: cost 32 inf + 7557 25.132 * * [simplify]: Extracting #8: cost 6 inf + 17113 25.135 * * [simplify]: Extracting #9: cost 2 inf + 19838 25.139 * * [simplify]: Extracting #10: cost 0 inf + 21576 25.143 * [simplify]: Simplified to (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2))))) 25.143 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))) (* (sin phi1) (sin phi2)))))) R)) 25.143 * * * * [progress]: [ 69 / 72 ] simplifiying candidate # 25.143 * [simplify]: Simplifying (log (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 25.143 * * [simplify]: iters left: 6 (23 enodes) 25.148 * * [simplify]: iters left: 5 (87 enodes) 25.160 * * [simplify]: iters left: 4 (144 enodes) 25.209 * * [simplify]: iters left: 3 (245 enodes) 25.288 * * [simplify]: iters left: 2 (290 enodes) 25.340 * * [simplify]: Extracting #0: cost 1 inf + 0 25.340 * * [simplify]: Extracting #1: cost 3 inf + 0 25.340 * * [simplify]: Extracting #2: cost 5 inf + 0 25.340 * * [simplify]: Extracting #3: cost 12 inf + 0 25.341 * * [simplify]: Extracting #4: cost 48 inf + 0 25.341 * * [simplify]: Extracting #5: cost 82 inf + 0 25.342 * * [simplify]: Extracting #6: cost 68 inf + 917 25.343 * * [simplify]: Extracting #7: cost 37 inf + 6545 25.349 * * [simplify]: Extracting #8: cost 6 inf + 17113 25.354 * * [simplify]: Extracting #9: cost 2 inf + 19838 25.357 * * [simplify]: Extracting #10: cost 0 inf + 21576 25.362 * [simplify]: Simplified to (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) 25.362 * [simplify]: Simplified (2 1 1) to (λ (R lambda1 lambda2 phi1 phi2) (* (exp (log (acos (+ (* (* (cos phi2) (cos phi1)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2)))))) R)) 25.362 * * * * [progress]: [ 70 / 72 ] simplifiying candidate # 25.362 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 25.362 * * [simplify]: iters left: 6 (24 enodes) 25.367 * * [simplify]: iters left: 5 (91 enodes) 25.383 * * [simplify]: iters left: 4 (148 enodes) 25.414 * * [simplify]: iters left: 3 (248 enodes) 25.489 * * [simplify]: iters left: 2 (295 enodes) 25.533 * * [simplify]: Extracting #0: cost 1 inf + 0 25.533 * * [simplify]: Extracting #1: cost 4 inf + 0 25.534 * * [simplify]: Extracting #2: cost 5 inf + 1 25.534 * * [simplify]: Extracting #3: cost 12 inf + 1 25.534 * * [simplify]: Extracting #4: cost 48 inf + 1 25.534 * * [simplify]: Extracting #5: cost 82 inf + 1 25.535 * * [simplify]: Extracting #6: cost 71 inf + 634 25.537 * * [simplify]: Extracting #7: cost 31 inf + 8806 25.543 * * [simplify]: Extracting #8: cost 5 inf + 18631 25.549 * * [simplify]: Extracting #9: cost 1 inf + 20704 25.556 * * [simplify]: Extracting #10: cost 0 inf + 21559 25.563 * * [simplify]: Extracting #11: cost 0 inf + 21519 25.570 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 25.570 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 25.571 * * * * [progress]: [ 71 / 72 ] simplifiying candidate # 25.571 * [simplify]: Simplifying (* (acos (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (sin lambda2) (sin lambda1)))) (* (sin phi1) (sin phi2))))) R) 25.571 * * [simplify]: iters left: 6 (24 enodes) 25.583 * * [simplify]: iters left: 5 (91 enodes) 25.610 * * [simplify]: iters left: 4 (148 enodes) 25.662 * * [simplify]: iters left: 3 (248 enodes) 25.744 * * [simplify]: iters left: 2 (292 enodes) 25.798 * * [simplify]: Extracting #0: cost 1 inf + 0 25.798 * * [simplify]: Extracting #1: cost 4 inf + 0 25.798 * * [simplify]: Extracting #2: cost 5 inf + 1 25.798 * * [simplify]: Extracting #3: cost 12 inf + 1 25.798 * * [simplify]: Extracting #4: cost 48 inf + 1 25.799 * * [simplify]: Extracting #5: cost 82 inf + 1 25.799 * * [simplify]: Extracting #6: cost 61 inf + 2052 25.801 * * [simplify]: Extracting #7: cost 23 inf + 9919 25.807 * * [simplify]: Extracting #8: cost 4 inf + 18021 25.815 * * [simplify]: Extracting #9: cost 1 inf + 20624 25.822 * * [simplify]: Extracting #10: cost 0 inf + 21519 25.830 * [simplify]: Simplified to (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R) 25.830 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi2) (cos phi1)) (+ (* (sin lambda2) (sin lambda1)) (* (cos lambda2) (cos lambda1)))))) R)) 25.830 * * * * [progress]: [ 72 / 72 ] simplifiying candidate # 25.831 * [simplify]: Simplifying (* R (acos (+ (* (cos phi1) (* (cos phi2) (* (sin lambda1) (sin lambda2)))) (+ (* (cos phi1) (* (cos phi2) (* (cos lambda1) (cos lambda2)))) (* (sin phi1) (sin phi2)))))) 25.831 * * [simplify]: iters left: 6 (24 enodes) 25.841 * * [simplify]: iters left: 5 (91 enodes) 25.865 * * [simplify]: iters left: 4 (148 enodes) 25.890 * * [simplify]: iters left: 3 (248 enodes) 25.944 * * [simplify]: iters left: 2 (295 enodes) 26.017 * * [simplify]: Extracting #0: cost 1 inf + 0 26.017 * * [simplify]: Extracting #1: cost 4 inf + 0 26.018 * * [simplify]: Extracting #2: cost 5 inf + 1 26.018 * * [simplify]: Extracting #3: cost 12 inf + 1 26.018 * * [simplify]: Extracting #4: cost 48 inf + 1 26.018 * * [simplify]: Extracting #5: cost 82 inf + 1 26.018 * * [simplify]: Extracting #6: cost 71 inf + 634 26.019 * * [simplify]: Extracting #7: cost 31 inf + 8806 26.022 * * [simplify]: Extracting #8: cost 5 inf + 18631 26.026 * * [simplify]: Extracting #9: cost 1 inf + 20704 26.029 * * [simplify]: Extracting #10: cost 0 inf + 21559 26.033 * * [simplify]: Extracting #11: cost 0 inf + 21519 26.036 * [simplify]: Simplified to (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2)))))) 26.037 * [simplify]: Simplified (2) to (λ (R lambda1 lambda2 phi1 phi2) (* R (acos (+ (* (sin phi2) (sin phi1)) (* (cos phi1) (* (+ (* (cos lambda2) (cos lambda1)) (* (sin lambda1) (sin lambda2))) (cos phi2))))))) 26.037 * * * [progress]: adding candidates to table 27.994 * [progress]: [Phase 3 of 3] Extracting. 27.995 * * [regime]: Finding splitpoints for: (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 28.009 * * * [regime-changes]: Trying 10 branch expressions: (R lambda2 lambda1 (- lambda1 lambda2) (cos (- lambda1 lambda2)) phi2 phi1 (+ (* (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)) 28.009 * * * * [regimes]: Trying to branch on R from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 28.268 * * * * [regimes]: Trying to branch on lambda2 from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 28.573 * * * * [regimes]: Trying to branch on lambda1 from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 28.845 * * * * [regimes]: Trying to branch on (- lambda1 lambda2) from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 29.105 * * * * [regimes]: Trying to branch on (cos (- lambda1 lambda2)) from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 29.369 * * * * [regimes]: Trying to branch on phi2 from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 29.689 * * * * [regimes]: Trying to branch on phi1 from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 29.935 * * * * [regimes]: Trying to branch on (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)))) from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 30.232 * * * * [regimes]: Trying to branch on (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 30.557 * * * * [regimes]: Trying to branch on (* (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2))))) R) from (#real (real->posit16 (* (sin lambda1) (sin lambda2)))))))) R))> # # #real (real->posit16 (log (acos (+ (* (sin phi1) (sin phi2)) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2)))))))))))) R))> # # # # # # # # #real (real->posit16 (* (sin phi1) (sin phi2)))) (* (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))) R))> # # # # # #) 30.857 * * * [regime]: Found split indices: #