* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) in l * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in l * [misc]taylor: Taking taylor expansion of (/ Om Omc) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ Om Omc) into (/ Om Omc) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in l * [misc]taylor: Taking taylor expansion of (/ t l) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ t 1) into t * [misc]backup-simplify: Simplify (* (/ Om Omc) (/ Om Omc)) into (/ (sqr Om) (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ (sqr Om) (sqr Omc))) into (- (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Om) (sqr Omc)))) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* 2 (sqr t)) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr t))) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Om) (sqr Omc))) (* 2 (sqr t))) into (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t))) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t)))) into (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (sqr Om) (sqr Omc))))) * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ Om Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Om Omc) 0) (* 0 (/ Om Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* t (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr t))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr t))) (+ (* (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t))) (/ 0 (* 2 (sqr t)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in t * [misc]taylor: Taking taylor expansion of (/ Om Omc) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ Om Omc) into (/ Om Omc) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in t * [misc]taylor: Taking taylor expansion of (/ t l) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* (/ Om Omc) (/ Om Omc)) into (/ (sqr Om) (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ (sqr Om) (sqr Omc))) into (- (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Om) (sqr Omc)))) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Om) (sqr Omc))) 1) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) into (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ Om Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Om Omc) 0) (* 0 (/ Om Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (/ (sqr Om) (sqr Omc))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Om) (sqr Omc)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ Om 1) into Om * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Omc * [misc]taylor: Taking taylor expansion of (/ t l) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (- (sqr Om)) into (- (sqr Om)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Om))) into (- (sqr Om)) * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ (- (sqr Om)) (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (* -1 (/ (sqr Om) (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (sqrt (* -1 (/ (sqr Om) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (sqrt (* -1 (/ (sqr Om) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* Om (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* Om 0) (* 0 Om)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (* -1 (/ (sqr Om) (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (/ (sqr Om) (+ 1 (* 2 (/ (sqr t) (sqr l))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Om * [misc]taylor: Taking taylor expansion of (/ t l) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Om * [misc]taylor: Taking taylor expansion of (/ t l) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in Omc * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ (sqr t) (sqr l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr l)) (+ (* (/ (sqr t) (sqr l)) (/ 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in t * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ 1 (sqr l)) into (/ 1 (sqr l)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr Omc))) into (- (/ 1 (sqr Omc))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr Omc)))) into (- (/ 1 (sqr Omc))) * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (+ (* 0 0) (* 0 (/ t l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr t) (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (* 0 (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into (- (/ 1 (* (sqr Omc) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (* (sqr Omc) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into (* -1/2 (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) in Omc * [misc]taylor: Taking taylor expansion of -1/2 in Omc * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in Omc * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ (sqr t) (sqr l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr l)) (+ (* (/ (sqr t) (sqr l)) (/ 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in l * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in l * [misc]taylor: Taking taylor expansion of (/ 1 Om) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in l * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ (/ 1 Om) (/ 1 Omc)) into (/ Omc Om) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of (/ 1 t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 t) 1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) 1) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Om) (/ 0 Om)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (/ (sqr Omc) (sqr Om))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in t * [misc]taylor: Taking taylor expansion of (/ 1 Om) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in t * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ (/ 1 Om) (/ 1 Omc)) into (/ Omc Om) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ 1 (/ 1 l)) into l * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (* 2 (sqr l))) into (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))) into (* (/ (sqrt 1/2) l) (sqrt (- 1 (/ (sqr Omc) (sqr Om))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Om) (/ 0 Om)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr l))) (+ (* (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 Om) 1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- (sqr Omc)) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- (sqr Omc)) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]taylor: Taking taylor expansion of (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of -1 in Omc * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (* -1 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in t * [misc]taylor: Taking taylor expansion of (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in t * [misc]taylor: Taking taylor expansion of -1 in t * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in t * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (sqr l) 1) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqr l))) into (/ -1/2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (/ -1/2 (sqr l))) into (sqrt (/ -1/2 (sqr l))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqr l) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr l))) (+ (* (/ -1/2 (sqr l)) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1/2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1/2 (sqr l))) in l * [misc]taylor: Taking taylor expansion of (/ -1/2 (sqr l)) in l * [misc]taylor: Taking taylor expansion of -1/2 in l * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (sqr l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sqrt -1/2) into (sqrt -1/2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1/2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (+ (* 0 0) (* 0 (/ l t)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr l) (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (* 0 (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (/ (- (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (sqr 0) (+)) (* 2 (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into (/ 1/2 (* (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of 1/2 in Omc * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]taylor: Taking taylor expansion of (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of -1 in Omc * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (* -1 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (* (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (/ 1/2 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into (/ 1/2 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) 0) (* 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) (+ (* (/ 1/2 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) (/ 0 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in l * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in l * [misc]taylor: Taking taylor expansion of (- Om) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in l * [misc]taylor: Taking taylor expansion of (- Omc) in l * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ (/ -1 Om) (/ -1 Omc)) into (/ Omc Om) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in l * [misc]taylor: Taking taylor expansion of (- t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) 1) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Om) (/ 0 (- Om))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (/ (sqr Omc) (sqr Om))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in t * [misc]taylor: Taking taylor expansion of (- Om) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in t * [misc]taylor: Taking taylor expansion of (- Omc) in t * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ (/ -1 Om) (/ -1 Omc)) into (/ Omc Om) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in t * [misc]taylor: Taking taylor expansion of (- l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ -1 (/ -1 l)) into l * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (* 2 (sqr l))) into (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))) into (* (/ (sqrt 1/2) l) (sqrt (- 1 (/ (sqr Omc) (sqr Om))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Om) (/ 0 (- Om))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr l))) (+ (* (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Omc * [misc]taylor: Taking taylor expansion of (- Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Omc * [misc]taylor: Taking taylor expansion of (- Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 Om) -1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Omc * [misc]taylor: Taking taylor expansion of (- t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Omc * [misc]taylor: Taking taylor expansion of (- l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Om * [misc]taylor: Taking taylor expansion of (- t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Om * [misc]taylor: Taking taylor expansion of (- l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- (sqr Omc)) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Om * [misc]taylor: Taking taylor expansion of (- t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Om * [misc]taylor: Taking taylor expansion of (- l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- (sqr Omc)) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]taylor: Taking taylor expansion of (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of -1 in Omc * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (* -1 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in t * [misc]taylor: Taking taylor expansion of (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in t * [misc]taylor: Taking taylor expansion of -1 in t * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in t * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (sqr l) 1) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqr l))) into (/ -1/2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (/ -1/2 (sqr l))) into (sqrt (/ -1/2 (sqr l))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqr l) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr l))) (+ (* (/ -1/2 (sqr l)) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1/2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1/2 (sqr l))) in l * [misc]taylor: Taking taylor expansion of (/ -1/2 (sqr l)) in l * [misc]taylor: Taking taylor expansion of -1/2 in l * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (sqr l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -1/2 1) into -1/2 * [misc]backup-simplify: Simplify (sqrt -1/2) into (sqrt -1/2) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1/2))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (+ (* 0 0) (* 0 (/ l t)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr l) (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (* 0 (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (/ (- (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (sqr 0) (+)) (* 2 (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into (/ 1/2 (* (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of 1/2 in Omc * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]taylor: Taking taylor expansion of (* -1 (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of -1 in Omc * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (* -1 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (* (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (/ 1/2 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into (/ 1/2 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) 0) (* 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) (+ (* (/ 1/2 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) (/ 0 (* (+ 1 (* 2 (/ (sqr l) (sqr t)))) (sqrt (/ -1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]approximate: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]approximate: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (sqr (/ Om Omc)) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ Om 1) into Om * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (* 0 (/ 1 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (* 0 (/ 1 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 Omc))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 Omc)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 Omc) Om))) into (/ (sqr Om) (sqr Omc)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 Om) 1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (+ (* 0 0) (* 0 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 Omc) (/ 1 (/ 1 Om))))) into (/ (sqr Om) (sqr Omc)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Omc * [misc]taylor: Taking taylor expansion of (- Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Omc * [misc]taylor: Taking taylor expansion of (- Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 Om) -1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (+ (* 0 0) (* 0 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (- Omc)) (/ 1 (/ 1 (- Om)))))) into (/ (sqr Om) (sqr Omc)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 2 2 2) * [misc]approximate: Taking taylor expansion of (sqr (/ t l)) in (t l) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in l * [misc]taylor: Taking taylor expansion of (/ t l) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ t 1) into t * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in t * [misc]taylor: Taking taylor expansion of (/ t l) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in t * [misc]taylor: Taking taylor expansion of (/ t l) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 1 l)) into (/ 1 (sqr l)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr l)) in l * [misc]taylor: Taking taylor expansion of (sqr l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 l) 0) (* 0 (/ 1 l))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 l) 0) (+ (* 0 0) (* 0 (/ 1 l)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 l) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 l) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 l)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 l) t))) into (/ (sqr t) (sqr l)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in (t l) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of (/ 1 t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 t) 1) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ 1 (/ 1 l)) into l * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ 1 (/ 1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]taylor: Taking taylor expansion of (sqr l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 l) (/ 1 (/ 1 t))))) into (/ (sqr t) (sqr l)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in (t l) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in l * [misc]taylor: Taking taylor expansion of (- t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 t) -1) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in t * [misc]taylor: Taking taylor expansion of (- l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ -1 (/ -1 l)) into l * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in t * [misc]taylor: Taking taylor expansion of (- l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ -1 (/ -1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]taylor: Taking taylor expansion of (sqr l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (- l)) (/ 1 (/ 1 (- t)))))) into (/ (sqr t) (sqr l)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 2 2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 2 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 3 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 4 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (sqr (/ t l)) (+ (sqr (/ t l)) 1))))) * * * * [misc]progress: [ 5 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Omc Om))) (+ (sqr (/ l t)) (+ (sqr (/ l t)) 1))))) * * * * [misc]progress: [ 6 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Omc Om))) (+ (sqr (/ l t)) (+ (sqr (/ l t)) 1))))) * * * * [misc]progress: [ 7 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l)))))) * * * * [misc]progress: [ 8 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l)))))) * * * * [misc]progress: [ 9 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l)))))) * * * * [misc]progress: [ 10 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (+ (sqr (/ t l)) (sqr (/ t l))) 1)))) * * * * [misc]progress: [ 11 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (+ (sqr (/ t l)) (sqr (/ t l))) 1)))) * * * * [misc]progress: [ 12 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (+ (sqr (/ t l)) (sqr (/ t l))) 1)))) * * * * [misc]progress: [ 13 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * * * * [misc]progress: [ 16 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * * * * [misc]progress: [ 17 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * * * * [misc]progress: [ 18 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (+ (/ t l) (/ t l)) (/ t l))))) (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (+ (/ t l) (/ t l)) (/ t l))))) * [exit]simplify: Simplified to (* (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (+ (/ t l) (/ t l)) (/ t l))))) (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (+ (/ t l) (/ t l)) (/ t l))))) * * * * [misc]progress: [ 19 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))) * * * * [misc]progress: [ 20 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))) * * * * [misc]progress: [ 21 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (sqr (/ Om Omc)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 22 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (pow 1 3) (pow (* 2 (sqr (/ t l))) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1))) * [enter]simplify: Simplifying (sqrt (+ (sqr 1) (- (sqr (* 2 (sqr (/ t l)))) (* 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 23 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (sqr (/ Om Omc))) (- (sqr 1) (sqr (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (315 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (- 1 (* (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (- 1 (* (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [enter]simplify: Simplifying (sqrt (- 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ t l) (+ (/ t l) (/ t l))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ t l) (+ (/ t l) (/ t l))))) * * * * [misc]progress: [ 24 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (sqr (/ Om Omc)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [enter]simplify: Simplifying (sqrt (+ 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * * * * [misc]progress: [ 25 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * * * * [misc]progress: [ 26 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (acos (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (acos (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [exit]simplify: Simplified to (acos (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * * * * [misc]progress: [ 30 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (log (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * [exit]simplify: Simplified to (log (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * * * * [misc]progress: [ 32 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (exp (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * [exit]simplify: Simplified to (exp (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * * * * [misc]progress: [ 33 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (cbrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * [exit]simplify: Simplified to (cbrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * * * * [misc]progress: [ 34 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (cube (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (/ t l) (+ (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (cube (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (/ t l) (+ (/ t l) (/ t l)))))))) * * * * [misc]progress: [ 35 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * [exit]simplify: Simplified to (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * * * * [misc]progress: [ 36 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 40 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 41 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 42 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * * * * [misc]progress: [ 43 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * * * * [misc]progress: [ 44 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (/ Om Omc)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ Om Omc) (/ Om Omc)) * [exit]simplify: Simplified to (* (/ Om Omc) (/ Om Omc)) * * * * [misc]progress: [ 45 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr Om) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Om Om) * [exit]simplify: Simplified to (* Om Om) * [enter]simplify: Simplifying (sqr (/ 1 Omc)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 Omc) Omc) * [exit]simplify: Simplified to (/ (/ 1 Omc) Omc) * * * * [misc]progress: [ 46 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr Om) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Om Om) * [exit]simplify: Simplified to (* Om Om) * [enter]simplify: Simplifying (sqr Omc) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Omc Omc) * [exit]simplify: Simplified to (* Omc Omc) * * * * [misc]progress: [ 47 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (/ t l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (* (/ t l) (/ t l))) * [exit]simplify: Simplified to (log (* (/ t l) (/ t l))) * * * * [misc]progress: [ 52 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (/ t l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (* (/ t l) (/ t l))) * [exit]simplify: Simplified to (exp (* (/ t l) (/ t l))) * * * * [misc]progress: [ 53 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (/ t l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ t l) (/ t l))) * [exit]simplify: Simplified to (cbrt (* (/ t l) (/ t l))) * * * * [misc]progress: [ 54 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ t l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cube (/ t l)) (cube (/ t l))) * [exit]simplify: Simplified to (* (cube (/ t l)) (cube (/ t l))) * * * * [misc]progress: [ 55 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (/ t l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fabs (/ t l)) * [exit]simplify: Simplified to (fabs (/ t l)) * * * * [misc]progress: [ 56 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (/ t l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ t l) (/ t l)) * [exit]simplify: Simplified to (* (/ t l) (/ t l)) * * * * [misc]progress: [ 57 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr t) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* t t) * [exit]simplify: Simplified to (* t t) * [enter]simplify: Simplifying (sqr (/ 1 l)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 l) l) * [exit]simplify: Simplified to (/ (/ 1 l) l) * * * * [misc]progress: [ 58 / 60 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr t) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* t t) * [exit]simplify: Simplified to (* t t) * [enter]simplify: Simplifying (sqr l) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* l l) * [exit]simplify: Simplified to (* l l) * * * * [misc]progress: [ 59 / 60 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 60 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in Omc * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ Om 1) into Om * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (exp (sqr (/ Om Omc))) into (exp (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Om) (sqr Omc)))) into (/ (sqr Om) (sqr Omc)) * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1 (sqr Omc)) 1) 1)))) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqr Omc))) 1)) (pow 1 1)))) 2) into (/ 1 (sqr Omc)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Omc * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 Om) 1) into (/ 1 Om) * [misc]backup-simplify: Simplify (* (/ 1 Om) (/ 1 Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (sqr Om)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (/ 1 (sqr Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqr Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ (sqr Omc) (sqr Om))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* Om 0) (* 0 Om)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr Om)) (+ (* (/ 1 (sqr Om)) (/ 0 (sqr Om))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ (sqr Omc) (sqr Om))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 24) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (sqr Om)) (sqr (* (/ 1 Omc) 1))) into (/ 1 (* (sqr Om) (sqr Omc))) * [misc]approximate: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Omc * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Omc * [misc]taylor: Taking taylor expansion of (- Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Omc * [misc]taylor: Taking taylor expansion of (- Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 Om) -1) into (/ 1 Om) * [misc]backup-simplify: Simplify (* (/ 1 Om) (/ 1 Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (sqr Om)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (/ 1 (sqr Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 2) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (sqr Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (exp (/ (sqr Omc) (sqr Om))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 6) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* Om 0) (* 0 Om)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr Om)) (+ (* (/ 1 (sqr Om)) (/ 0 (sqr Om))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (exp (/ (sqr Omc) (sqr Om))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 24) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (sqr Om)) (sqr (* (/ 1 (- Omc)) 1))) into (/ 1 (* (sqr Om) (sqr Omc))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) in l * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ Om Omc))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in l * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in l * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in l * [misc]taylor: Taking taylor expansion of (/ Om Omc) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ Om Omc) into (/ Om Omc) * [misc]backup-simplify: Simplify (* (/ Om Omc) (/ Om Omc)) into (/ (sqr Om) (sqr Omc)) * [misc]backup-simplify: Simplify (exp (/ (sqr Om) (sqr Omc))) into (exp (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Om) (sqr Omc)))) into (/ (sqr Om) (sqr Omc)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in l * [misc]taylor: Taking taylor expansion of (/ t l) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ t 1) into t * [misc]backup-simplify: Simplify (- (/ (sqr Om) (sqr Omc))) into (- (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Om) (sqr Omc)))) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* 2 (sqr t)) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr t))) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Om) (sqr Omc))) (* 2 (sqr t))) into (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t))) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t)))) into (* (/ (sqrt 1/2) t) (sqrt (- 1 (/ (sqr Om) (sqr Omc))))) * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ Om Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Om Omc) 0) (* 0 (/ Om Omc))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (sqr Om) (sqr Omc))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Om) (sqr Omc))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* t (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr t))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr t))) (+ (* (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t))) (/ 0 (* 2 (sqr t)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ (- 1 (/ (sqr Om) (sqr Omc))) (sqr t)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ Om Omc))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in t * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in t * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in t * [misc]taylor: Taking taylor expansion of (/ Om Omc) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ Om Omc) into (/ Om Omc) * [misc]backup-simplify: Simplify (* (/ Om Omc) (/ Om Omc)) into (/ (sqr Om) (sqr Omc)) * [misc]backup-simplify: Simplify (exp (/ (sqr Om) (sqr Omc))) into (exp (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Om) (sqr Omc)))) into (/ (sqr Om) (sqr Omc)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in t * [misc]taylor: Taking taylor expansion of (/ t l) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (- (/ (sqr Om) (sqr Omc))) into (- (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Om) (sqr Omc)))) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Om) (sqr Omc))) 1) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) into (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ Om Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Om Omc) 0) (* 0 (/ Om Omc))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (sqr Om) (sqr Omc))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Om) (sqr Omc))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (/ (sqr Om) (sqr Omc))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Om) (sqr Omc)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ Om Omc))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in Omc * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ Om 1) into Om * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (exp (sqr (/ Om Omc))) into (exp (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Om) (sqr Omc)))) into (/ (sqr Om) (sqr Omc)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Omc * [misc]taylor: Taking taylor expansion of (/ t l) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (- (/ (sqr Om) (sqr Omc))) into (- (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Om) (sqr Omc)))) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Om) (sqr Omc))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ Om Omc))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Om * [misc]taylor: Taking taylor expansion of (/ t l) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ Om Omc))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ Om Omc)))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Om * [misc]taylor: Taking taylor expansion of (/ t l) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in Omc * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ (sqr t) (sqr l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr l)) (+ (* (/ (sqr t) (sqr l)) (/ 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in t * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ 1 (sqr l)) into (/ 1 (sqr l)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1 (sqr Omc)) 1) 1)))) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (sqr Omc))) 1)) (pow 1 1)))) 2) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr Omc))) into (- (/ 1 (sqr Omc))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr Omc)))) into (- (/ 1 (sqr Omc))) * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (+ (* 0 0) (* 0 (/ t l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr t) (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ 1 (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (* 0 (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into (- (/ 1 (* (sqr Omc) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (* (sqr Omc) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into (* -1/2 (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) * [misc]taylor: Taking taylor expansion of (* -1/2 (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) in Omc * [misc]taylor: Taking taylor expansion of -1/2 in Omc * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in Omc * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ (sqr t) (sqr l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr l)) (+ (* (/ (sqr t) (sqr l)) (/ 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (+ (* 0 0) (* 0 t))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr l)) (+ (* (/ (sqr t) (sqr l)) (/ 0 (sqr l))) (* 0 (/ 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr t) (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (* 0 (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in l * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in l * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in l * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in l * [misc]taylor: Taking taylor expansion of (/ 1 Om) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in l * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ (/ 1 Om) (/ 1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (exp (/ (sqr Omc) (sqr Om))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of (/ 1 t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 t) 1) into (/ 1 t) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) 1) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Om) (/ 0 Om)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (sqr Omc) (sqr Om))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (/ (sqr Omc) (sqr Om))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in t * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in t * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in t * [misc]taylor: Taking taylor expansion of (/ 1 Om) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in t * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ (/ 1 Om) (/ 1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (exp (/ (sqr Omc) (sqr Om))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ 1 (/ 1 l)) into l * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (* 2 (sqr l))) into (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))) into (* (/ (sqrt 1/2) l) (sqrt (- 1 (/ (sqr Omc) (sqr Om))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Om) (/ 0 Om)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (sqr Omc) (sqr Om))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr l))) (+ (* (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Omc * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 Om) 1) into (/ 1 Om) * [misc]backup-simplify: Simplify (* (/ 1 Om) (/ 1 Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (/ (sqr Omc) (sqr Om))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (sqr Om)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (/ 1 (sqr Om)) into (/ 1 (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in t * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (sqr l) 1) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqr l))) into (/ 1/2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (/ 1/2 (sqr l))) into (/ (sqrt 1/2) l) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqr l) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (sqr l)) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1/2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) l) in l * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (+ (* 0 0) (* 0 (/ l t)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr l) (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (* 0 (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in l * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in l * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in l * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in l * [misc]taylor: Taking taylor expansion of (- Om) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in l * [misc]taylor: Taking taylor expansion of (- Omc) in l * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ (/ -1 Om) (/ -1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (exp (/ (sqr Omc) (sqr Om))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in l * [misc]taylor: Taking taylor expansion of (- t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) 1) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Om) (/ 0 (- Om))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (sqr Omc) (sqr Om))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (- 1 (/ (sqr Omc) (sqr Om))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in t * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in t * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in t * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in t * [misc]taylor: Taking taylor expansion of (- Om) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in t * [misc]taylor: Taking taylor expansion of (- Omc) in t * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ (/ -1 Om) (/ -1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (exp (/ (sqr Omc) (sqr Om))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in t * [misc]taylor: Taking taylor expansion of (- l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ -1 (/ -1 l)) into l * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (* 2 (sqr l))) into (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) * [misc]backup-simplify: Simplify (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))) into (* (/ (sqrt 1/2) l) (sqrt (- 1 (/ (sqr Omc) (sqr Om))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Om) (/ 0 (- Om))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (* (exp (/ (sqr Omc) (sqr Om))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 (sqr l))) (+ (* (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l))) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ (- 1 (/ (sqr Omc) (sqr Om))) (sqr l)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Omc * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Omc * [misc]taylor: Taking taylor expansion of (- Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Omc * [misc]taylor: Taking taylor expansion of (- Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 Om) -1) into (/ 1 Om) * [misc]backup-simplify: Simplify (* (/ 1 Om) (/ 1 Om)) into (/ 1 (sqr Om)) * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Omc * [misc]taylor: Taking taylor expansion of (- t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Omc * [misc]taylor: Taking taylor expansion of (- l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Om * [misc]taylor: Taking taylor expansion of (- t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Om * [misc]taylor: Taking taylor expansion of (- l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Om * [misc]taylor: Taking taylor expansion of (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Om * [misc]taylor: Taking taylor expansion of (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) into (exp (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (log (exp (/ (sqr Omc) (sqr Om)))) into (/ (sqr Omc) (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Om * [misc]taylor: Taking taylor expansion of (- t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Om * [misc]taylor: Taking taylor expansion of (- l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (/ (sqr Omc) (sqr Om))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (sqr Omc) (sqr Om)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (/ 1 (sqr Om)) into (/ 1 (sqr Om)) * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in t * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (sqr l) 1) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqr l))) into (/ 1/2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (/ 1/2 (sqr l))) into (/ (sqrt 1/2) l) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqr l) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (sqr l)) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1/2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt 1/2) l) in l * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (sqrt 1/2) 1) into (sqrt 1/2) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 1/2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (exp (/ (sqr Omc) (sqr Om))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (exp (/ (sqr Omc) (sqr Om))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (+ (* 0 0) (* 0 (/ l t)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr l) (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (+ (* (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (* 0 (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]approximate: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 Om) (/ 1 Omc)))))) (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]approximate: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Om * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (log (exp (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))))) (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2 1 1) * [misc]approximate: Taking taylor expansion of (sqr (/ Om Omc)) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ Om 1) into Om * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (* 0 (/ 1 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (* 0 (/ 1 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 Omc))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 Omc)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 Omc) Om))) into (/ (sqr Om) (sqr Omc)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 Om) 1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (+ (* 0 0) (* 0 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 Omc) (/ 1 (/ 1 Om))))) into (/ (sqr Om) (sqr Omc)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Omc * [misc]taylor: Taking taylor expansion of (- Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Omc * [misc]taylor: Taking taylor expansion of (- Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 Om) -1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (+ (* 0 0) (* 0 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (- Omc)) (/ 1 (/ 1 (- Om)))))) into (/ (sqr Om) (sqr Omc)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 0) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 0) (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)))) * * * * [misc]progress: [ 2 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ 1 (* (sqr Om) (sqr Omc)))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (/ 1 (* (* Omc Om) (* Omc Om)))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 3 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ 1 (* (sqr Om) (sqr Omc)))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (/ 1 (* (* Omc Om) (* Omc Om)))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 4 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 5 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 6 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 7 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (sqr (/ t l)) (+ (sqr (/ t l)) 1))))) * * * * [misc]progress: [ 8 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Omc Om))) (+ (sqr (/ l t)) (+ (sqr (/ l t)) 1))))) * * * * [misc]progress: [ 9 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Omc Om))) (+ (sqr (/ l t)) (+ (sqr (/ l t)) 1))))) * * * * [misc]progress: [ 10 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (log (exp (/ (sqr Om) (sqr Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 11 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (log (exp (/ (sqr Om) (sqr Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 12 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (log (exp (/ (sqr Om) (sqr Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 13 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [enter]simplify: Simplifying (log (exp (sqr (/ Om Omc)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqr (/ Om Omc)) * [exit]simplify: Simplified to (sqr (/ Om Omc)) * * * * [misc]progress: [ 14 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqr (/ Om Omc)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqr (/ Om Omc)) * [exit]simplify: Simplified to (sqr (/ Om Omc)) * * * * [misc]progress: [ 15 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqr 1))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 16 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (sqr Om))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (* Om Om) * [exit]simplify: Simplified to (* Om Om) * * * * [misc]progress: [ 17 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ Om Omc) * [exit]simplify: Simplified to (/ Om Omc) * * * * [misc]progress: [ 18 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 19 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (exp (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 21 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (exp (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 22 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (exp (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 23 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (exp (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * * * * [misc]progress: [ 24 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (exp (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * * * * [misc]progress: [ 25 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (log (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 29 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 30 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 31 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (143 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (sqr (/ Om Omc))) (+ (* (/ t l) (/ t l)) (+ (* (/ t l) (/ t l)) 1))) (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (* (/ t l) (/ t l)) (+ (* (/ t l) (/ t l)) 1))))) * [exit]simplify: Simplified to (* (/ (- 1 (sqr (/ Om Omc))) (+ (* (/ t l) (/ t l)) (+ (* (/ t l) (/ t l)) 1))) (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (* (/ t l) (/ t l)) (+ (* (/ t l) (/ t l)) 1))))) * * * * [misc]progress: [ 32 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))) * * * * [misc]progress: [ 33 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))) * * * * [misc]progress: [ 34 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (log (exp (sqr (/ Om Omc)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (/ 1 (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 35 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ (pow 1 3) (pow (* 2 (sqr (/ t l))) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (cube (* (+ (/ t l) (/ t l)) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ (cube (* (+ (/ t l) (/ t l)) (/ t l))) 1))) * [enter]simplify: Simplifying (sqrt (+ (sqr 1) (- (sqr (* 2 (sqr (/ t l)))) (* 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 36 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (- (sqr 1) (sqr (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (- 1 (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (- 1 (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [enter]simplify: Simplifying (sqrt (- 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ t l) (+ (/ t l) (/ t l))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ t l) (+ (/ t l) (/ t l))))) * * * * [misc]progress: [ 37 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (log (exp (sqr (/ Om Omc)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [enter]simplify: Simplifying (sqrt (+ 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * * * * [misc]progress: [ 38 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 39 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (acos (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (acos (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 43 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (log (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (log (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * * * * [misc]progress: [ 45 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (exp (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (exp (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * * * * [misc]progress: [ 46 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (cbrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (cbrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * * * * [misc]progress: [ 47 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (cube (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (cube (asin (sqrt (/ (- 1 (* (/ Om Omc) (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * * * * [misc]progress: [ 48 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * * * * [misc]progress: [ 49 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 53 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 54 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 55 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * * * * [misc]progress: [ 56 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * * * * [misc]progress: [ 57 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (/ Om Omc)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ Om Omc) (/ Om Omc)) * [exit]simplify: Simplified to (* (/ Om Omc) (/ Om Omc)) * * * * [misc]progress: [ 58 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr Om) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Om Om) * [exit]simplify: Simplified to (* Om Om) * [enter]simplify: Simplifying (sqr (/ 1 Omc)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 Omc) Omc) * [exit]simplify: Simplified to (/ (/ 1 Omc) Omc) * * * * [misc]progress: [ 59 / 61 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr Om) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Om Om) * [exit]simplify: Simplified to (* Om Om) * [enter]simplify: Simplifying (sqr Omc) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Omc Omc) * [exit]simplify: Simplified to (* Omc Omc) * * * * [misc]progress: [ 60 / 61 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 61 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in (t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in l * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in l * [misc]taylor: Taking taylor expansion of (/ t l) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ t 1) into t * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* 2 (sqr t)) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr t))) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr t))) into (* t (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* t (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr t))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr t))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in t * [misc]taylor: Taking taylor expansion of (/ t l) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in t * [misc]taylor: Taking taylor expansion of (/ t l) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (/ 1 l) (/ 1 l)) into (/ 1 (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ 1 (sqr l))) into (/ 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (/ 2 (sqr l))) into (* 2 (/ 1 (sqr l))) * [misc]backup-simplify: Simplify (/ (- (* 2 (/ 1 (sqr l))) (sqr 0) (+)) (* 2 1)) into (/ 1 (sqr l)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr l)) in l * [misc]taylor: Taking taylor expansion of (sqr l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 l) 0) (* 0 (/ 1 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1 (sqr l)))))) (* 2 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in (t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in l * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of (/ 1 t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 t) 1) into (/ 1 t) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ 1 (/ 1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr l))) into (* l (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ 1 (/ 1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr l))) into (* l (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (* l (sqrt 2)) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* l (sqrt 2)))) into (/ 1/2 (* l (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* l (sqrt 2))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* l (sqrt 2)) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* l (sqrt 2))))))) (* 2 (* l (sqrt 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (/ 1 l) (/ 1 (/ 1 t)))) into (/ (* t (sqrt 2)) l) * [misc]approximate: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in (t l) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in l * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in l * [misc]taylor: Taking taylor expansion of (- t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in t * [misc]taylor: Taking taylor expansion of (- l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ -1 (/ -1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr l))) into (* l (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in t * [misc]taylor: Taking taylor expansion of (- l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ -1 (/ -1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr l))) into (* l (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr l))))) into 0 * [misc]taylor: Taking taylor expansion of (* l (sqrt 2)) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (* 0 l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (* l (sqrt 2)))) into (/ 1/2 (* l (sqrt 2))) * [misc]taylor: Taking taylor expansion of (/ 1/2 (* l (sqrt 2))) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* l (sqrt 2)) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqrt 2) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (* 0 (sqrt 2)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (sqrt 2))) into (sqrt 2) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt 2)) into (/ 1/2 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (+ (* 0 0) (+ (* 0 0) (* 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (* l (sqrt 2))))))) (* 2 (* l (sqrt 2)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1/2 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (/ 1 (- l)) (/ 1 (/ 1 (- t))))) into (/ (* t (sqrt 2)) l) * * * * [misc]progress: [ 2 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) in l * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) in t * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) in Omc * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) in Om * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) in Om * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]approximate: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in l * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in t * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Omc * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Om * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) in Om * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]approximate: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in l * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in t * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Omc * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Om * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) in Om * [misc]backup-simplify: Simplify (asin (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in Omc * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in l * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) in l * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ Om Omc)))) in l * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in l * [misc]taylor: Taking taylor expansion of (/ Om Omc) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ Om Omc) into (/ Om Omc) * [misc]backup-simplify: Simplify (* (/ Om Omc) (/ Om Omc)) into (/ (sqr Om) (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ (sqr Om) (sqr Omc))) into (- (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Om) (sqr Omc)))) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) into (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ Om Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Om Omc) 0) (* 0 (/ Om Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Om) (sqr Omc)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in l * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in l * [misc]taylor: Taking taylor expansion of (/ t l) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ t 1) into t * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* 2 (sqr t)) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr t))) into (* 2 (sqr t)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr t))) into (* t (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* t (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr t))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) (* t (sqrt 2))) into (* (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) (/ 1 (* t (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ Om Omc)))) in t * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in t * [misc]taylor: Taking taylor expansion of (/ Om Omc) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ Om Omc) into (/ Om Omc) * [misc]backup-simplify: Simplify (* (/ Om Omc) (/ Om Omc)) into (/ (sqr Om) (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ (sqr Om) (sqr Omc))) into (- (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Om) (sqr Omc)))) into (- 1 (/ (sqr Om) (sqr Omc))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) into (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ Om Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Om Omc) 0) (* 0 (/ Om Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Om) (sqr Omc)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in t * [misc]taylor: Taking taylor expansion of (/ t l) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) 1) into (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ Om Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ Om 1) into Om * [misc]backup-simplify: Simplify (* Om Om) into (sqr Om) * [misc]backup-simplify: Simplify (- (sqr Om)) into (- (sqr Om)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Om))) into (- (sqr Om)) * [misc]backup-simplify: Simplify (sqrt (- (sqr Om))) into (sqrt (- (sqr Om))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* Om (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* Om 0) (* 0 Om)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr Om))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Omc * [misc]taylor: Taking taylor expansion of (/ t l) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- (sqr Om))) (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (* (sqrt (- (sqr Om))) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) in Om * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ Om Omc)))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in Om * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Om * [misc]taylor: Taking taylor expansion of (/ t l) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) in Om * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ Om Omc)))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ Om Omc))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ t l))))) in Om * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ t l)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ t l))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ t l)) in Om * [misc]taylor: Taking taylor expansion of (/ t l) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ t l) into (/ t l) * [misc]backup-simplify: Simplify (* (/ t l) (/ t l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (* 0 (/ t l))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in Omc * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ (sqr t) (sqr l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr l)) (+ (* (/ (sqr t) (sqr l)) (/ 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (+ (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (/ 0 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in t * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ 1 (sqr l)) into (/ 1 (sqr l)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr Omc))) into (- (/ 1 (sqr Omc))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr Omc)))) into (- (/ 1 (sqr Omc))) * [misc]backup-simplify: Simplify (/ (- (- (/ 1 (sqr Omc))) (sqr 0) (+)) (* 2 1)) into (/ -1/2 (sqr Omc)) * [misc]backup-simplify: Simplify (- (/ 0 l) (+ (* (/ t l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ t l) 0) (+ (* 0 0) (* 0 (/ t l)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr t) (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/2 (sqr Omc)) (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (+ (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) (/ 0 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))))) (* 0 (/ 0 (sqrt (+ 1 (* 2 (/ (sqr t) (sqr l))))))))) into (- (* 1/2 (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))))) in Omc * [misc]taylor: Taking taylor expansion of (* 1/2 (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) in Omc * [misc]taylor: Taking taylor expansion of 1/2 in Omc * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqr Omc)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr t) (sqr l)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr t) (sqr l))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr t) (sqr l)) in Omc * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (/ (sqr t) (sqr l)) into (/ (sqr t) (sqr l)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr t) (sqr l))) into (* 2 (/ (sqr t) (sqr l))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr t) (sqr l)))) into (+ 1 (* 2 (/ (sqr t) (sqr l)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) into (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr l)) (+ (* (/ (sqr t) (sqr l)) (/ 0 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr t) (sqr l)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))) (/ 0 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (* 1 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l))))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr t) (sqr l)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in l * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in l * [misc]taylor: Taking taylor expansion of (/ 1 Om) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in l * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ (/ 1 Om) (/ 1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Om) (/ 0 Om)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in l * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in l * [misc]taylor: Taking taylor expansion of (/ 1 t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 t) 1) into (/ 1 t) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) 1) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in t * [misc]taylor: Taking taylor expansion of (/ 1 Om) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in t * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ (/ 1 Om) (/ 1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Om) (/ 0 Om)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in t * [misc]taylor: Taking taylor expansion of (/ 1 t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ 1 (/ 1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr l))) into (* l (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* l (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) (* l (sqrt 2))) into (* (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) (/ 1 (* l (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 Om) 1) into (/ 1 Om) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Om * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (sqrt (- (sqr Omc))) into (sqrt (- (sqr Omc))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr Omc))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Om * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- (sqr Omc))) (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))))) in Om * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 Om) (/ 1 Omc)))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (sqrt (- (sqr Omc))) into (sqrt (- (sqr Omc))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr Omc))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l)))))) in Om * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 t) (/ 1 l))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 t) (/ 1 l)))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 t) (/ 1 l))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 t) (/ 1 l)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (/ 1 t) into (/ 1 t) * [misc]taylor: Taking taylor expansion of (/ 1 l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (/ 1 l) into (/ 1 l) * [misc]backup-simplify: Simplify (/ (/ 1 t) (/ 1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- (sqr Omc))) (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr Omc))) in Omc * [misc]taylor: Taking taylor expansion of (- (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (+ (* (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt -1)) into (* (sqrt -1) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (* (sqrt -1) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt -1) in t * [misc]taylor: Taking taylor expansion of -1 in t * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in t * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (sqr l) 1) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqr l))) into (/ 1/2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (/ 1/2 (sqr l))) into (/ (sqrt 1/2) l) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqr l) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (sqr l)) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1/2 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (/ (sqrt 1/2) l)) into (/ (* (sqrt -1) (sqrt 1/2)) l) * [misc]taylor: Taking taylor expansion of (/ (* (sqrt -1) (sqrt 1/2)) l) in l * [misc]taylor: Taking taylor expansion of (* (sqrt -1) (sqrt 1/2)) in l * [misc]taylor: Taking taylor expansion of (sqrt -1) in l * [misc]taylor: Taking taylor expansion of -1 in l * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sqrt -1) (sqrt 1/2)) into (* (sqrt -1) (sqrt 1/2)) * [misc]backup-simplify: Simplify (/ (* (sqrt -1) (sqrt 1/2)) 1) into (* (sqrt -1) (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt -1) (sqrt 1/2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr Omc))))) into (/ 1/2 (sqrt (- (sqr Omc)))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 t) (/ 0 t)) (* 0 (/ 0 t)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 l) (/ 0 l)) (* 0 (/ 0 l)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 l)) (+ (* (/ l t) (/ 0 (/ 1 l))) (* 0 (/ 0 (/ 1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (+ (* 0 0) (* 0 (/ l t)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr l) (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt (- (sqr Omc)))) (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (+ (* (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (* 0 (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into (* 1/2 (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt (- (sqr Omc)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt (- (sqr Omc)))))) in Omc * [misc]taylor: Taking taylor expansion of 1/2 in Omc * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt (- (sqr Omc))))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (sqr Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr Omc))) in Omc * [misc]taylor: Taking taylor expansion of (- (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt -1))) into (* (/ 1 (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (/ 1 (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) 0) (* 0 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in (Om Omc t l) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in l * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in l * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in l * [misc]taylor: Taking taylor expansion of (- Om) in l * [misc]taylor: Taking taylor expansion of Om in l * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in l * [misc]taylor: Taking taylor expansion of (- Omc) in l * [misc]taylor: Taking taylor expansion of Omc in l * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ (/ -1 Om) (/ -1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Om) (/ 0 (- Om))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in l * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in l * [misc]taylor: Taking taylor expansion of 1 in l * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in l * [misc]taylor: Taking taylor expansion of 2 in l * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in l * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in l * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in l * [misc]taylor: Taking taylor expansion of (- t) in l * [misc]taylor: Taking taylor expansion of t in l * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in l * [misc]taylor: Taking taylor expansion of (- l) in l * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 t) -1) into (/ 1 t) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) 1) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in t * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in t * [misc]taylor: Taking taylor expansion of (- Om) in t * [misc]taylor: Taking taylor expansion of Om in t * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in t * [misc]taylor: Taking taylor expansion of (- Omc) in t * [misc]taylor: Taking taylor expansion of Omc in t * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ (/ -1 Om) (/ -1 Omc)) into (/ Omc Om) * [misc]backup-simplify: Simplify (* (/ Omc Om) (/ Omc Om)) into (/ (sqr Omc) (sqr Om)) * [misc]backup-simplify: Simplify (- (/ (sqr Omc) (sqr Om))) into (- (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (+ 1 (- (/ (sqr Omc) (sqr Om)))) into (- 1 (/ (sqr Omc) (sqr Om))) * [misc]backup-simplify: Simplify (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) into (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Om) (/ 0 (- Om))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* (/ Omc Om) (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ Omc Om) 0) (* 0 (/ Omc Om))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- 1 (/ (sqr Omc) (sqr Om)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in t * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in t * [misc]taylor: Taking taylor expansion of (- t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in t * [misc]taylor: Taking taylor expansion of (- l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ -1 (/ -1 l)) into l * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (* 2 (sqr l))) into (* l (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* l (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* 2 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) (* l (sqrt 2))) into (* (sqrt (- 1 (/ (sqr Omc) (sqr Om)))) (/ 1 (* l (sqrt 2)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Omc * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Omc * [misc]taylor: Taking taylor expansion of (- Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Omc * [misc]taylor: Taking taylor expansion of (- Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 Om) -1) into (/ 1 Om) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Omc * [misc]taylor: Taking taylor expansion of (- t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Omc * [misc]taylor: Taking taylor expansion of (- l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Om * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (sqrt (- (sqr Omc))) into (sqrt (- (sqr Omc))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr Omc))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Om * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Om * [misc]taylor: Taking taylor expansion of (- t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Om * [misc]taylor: Taking taylor expansion of (- l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- (sqr Omc))) (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))))) in Om * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))))) in Om * [misc]taylor: Taking taylor expansion of (- 1 (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]backup-simplify: Simplify (- (sqr Omc)) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr Omc))) into (- (sqr Omc)) * [misc]backup-simplify: Simplify (sqrt (- (sqr Omc))) into (sqrt (- (sqr Omc))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (- (sqr Omc))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))))) in Om * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l)))))) in Om * [misc]taylor: Taking taylor expansion of 1 in Om * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (sqr (/ (/ 1 (- t)) (/ 1 (- l))))) in Om * [misc]taylor: Taking taylor expansion of 2 in Om * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- t)) (/ 1 (- l)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- t)) (/ 1 (- l))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- t)) in Om * [misc]taylor: Taking taylor expansion of (- t) in Om * [misc]taylor: Taking taylor expansion of t in Om * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (/ 1 (- t)) into (/ -1 t) * [misc]taylor: Taking taylor expansion of (/ 1 (- l)) in Om * [misc]taylor: Taking taylor expansion of (- l) in Om * [misc]taylor: Taking taylor expansion of l in Om * [misc]backup-simplify: Simplify l into l * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (/ 1 (- l)) into (/ -1 l) * [misc]backup-simplify: Simplify (/ (/ -1 t) (/ -1 l)) into (/ l t) * [misc]backup-simplify: Simplify (* (/ l t) (/ l t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (* 0 (/ l t))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (/ (sqrt (- (sqr Omc))) (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr Omc))) in Omc * [misc]taylor: Taking taylor expansion of (- (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (+ (* (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt -1)) into (* (sqrt -1) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]taylor: Taking taylor expansion of (* (sqrt -1) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) in t * [misc]taylor: Taking taylor expansion of (sqrt -1) in t * [misc]taylor: Taking taylor expansion of -1 in t * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in t * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in t * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in t * [misc]taylor: Taking taylor expansion of 1 in t * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in t * [misc]taylor: Taking taylor expansion of 2 in t * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in t * [misc]taylor: Taking taylor expansion of (sqr l) in t * [misc]taylor: Taking taylor expansion of l in t * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in t * [misc]taylor: Taking taylor expansion of t in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ (sqr l) 1) into (sqr l) * [misc]backup-simplify: Simplify (* 2 (sqr l)) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (+ 0 (* 2 (sqr l))) into (* 2 (sqr l)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqr l))) into (/ 1/2 (sqr l)) * [misc]backup-simplify: Simplify (sqrt (/ 1/2 (sqr l))) into (/ (sqrt 1/2) l) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqr l) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (sqr l))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 (sqr l)) (/ 0 (* 2 (sqr l)))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1/2 (sqr l))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt -1) (/ (sqrt 1/2) l)) into (/ (* (sqrt -1) (sqrt 1/2)) l) * [misc]taylor: Taking taylor expansion of (/ (* (sqrt -1) (sqrt 1/2)) l) in l * [misc]taylor: Taking taylor expansion of (* (sqrt -1) (sqrt 1/2)) in l * [misc]taylor: Taking taylor expansion of (sqrt -1) in l * [misc]taylor: Taking taylor expansion of -1 in l * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in l * [misc]taylor: Taking taylor expansion of 1/2 in l * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 * [misc]taylor: Taking taylor expansion of l in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (sqrt -1) (sqrt 1/2)) into (* (sqrt -1) (sqrt 1/2)) * [misc]backup-simplify: Simplify (/ (* (sqrt -1) (sqrt 1/2)) 1) into (* (sqrt -1) (sqrt 1/2)) * [misc]backup-simplify: Simplify (+ (* (sqrt -1) 0) (* 0 (sqrt 1/2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt -1) (sqrt 1/2)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (sqr 0) (+)) (* 2 (sqrt (- (sqr Omc))))) into (/ 1/2 (sqrt (- (sqr Omc)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- t) into (- t) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 t) (/ 0 (- t))) (* 0 (/ 0 (- t))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- l) into (- l) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 l) (/ 0 (- l))) (* 0 (/ 0 (- l))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 l)) (+ (* (/ l t) (/ 0 (/ -1 l))) (* 0 (/ 0 (/ -1 l))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ l t) 0) (+ (* 0 0) (* 0 (/ l t)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ (sqr l) (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt (- (sqr Omc)))) (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (+ (* (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (sqrt (- (sqr Omc)))) (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))) (* 0 (/ 0 (sqrt (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into (* 1/2 (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt (- (sqr Omc)))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt (- (sqr Omc)))))) in Omc * [misc]taylor: Taking taylor expansion of 1/2 in Omc * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt (- (sqr Omc))))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) in Omc * [misc]taylor: Taking taylor expansion of (+ 1 (* 2 (/ (sqr l) (sqr t)))) in Omc * [misc]taylor: Taking taylor expansion of 1 in Omc * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr l) (sqr t))) in Omc * [misc]taylor: Taking taylor expansion of 2 in Omc * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr l) (sqr t)) in Omc * [misc]taylor: Taking taylor expansion of (sqr l) in Omc * [misc]taylor: Taking taylor expansion of l in Omc * [misc]backup-simplify: Simplify l into l * [misc]taylor: Taking taylor expansion of (sqr t) in Omc * [misc]taylor: Taking taylor expansion of t in Omc * [misc]backup-simplify: Simplify t into t * [misc]backup-simplify: Simplify (* l l) into (sqr l) * [misc]backup-simplify: Simplify (* t t) into (sqr t) * [misc]backup-simplify: Simplify (/ (sqr l) (sqr t)) into (/ (sqr l) (sqr t)) * [misc]backup-simplify: Simplify (* 2 (/ (sqr l) (sqr t))) into (* 2 (/ (sqr l) (sqr t))) * [misc]backup-simplify: Simplify (+ 1 (* 2 (/ (sqr l) (sqr t)))) into (+ 1 (* 2 (/ (sqr l) (sqr t)))) * [misc]backup-simplify: Simplify (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) into (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) * [misc]backup-simplify: Simplify (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) into (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) * [misc]backup-simplify: Simplify (+ (* l 0) (* 0 l)) into 0 * [misc]backup-simplify: Simplify (+ (* t 0) (* 0 t)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr t)) (+ (* (/ (sqr l) (sqr t)) (/ 0 (sqr t))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ (sqr l) (sqr t)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))) (/ 0 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (- (sqr Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (sqrt (- (sqr Omc))) in Omc * [misc]taylor: Taking taylor expansion of (- (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt -1)) (/ 0 (sqrt -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) 0) (* 0 (/ 1 (sqrt -1)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) (/ 1 (sqrt -1))) into (* (/ 1 (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (* (/ 1 (sqrt -1)) (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t))))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (+ 1 (* 2 (/ (sqr l) (sqr t)))))) 0) (* 0 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in t * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in l * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (sqr (/ Om Omc)) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ Om 1) into Om * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]taylor: Taking taylor expansion of (sqr (/ Om Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ Om Omc) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (* (/ 1 Omc) (/ 1 Omc)) into (/ 1 (sqr Omc)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr Omc)) in Omc * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (* 0 (/ 1 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (* 0 (/ 1 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 Omc))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 Omc) (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 Omc) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 Omc)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 Omc) Om))) into (/ (sqr Om) (sqr Omc)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (/ 1 Om) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ 1 Om) 1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 Om) (/ 1 Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 Om) (/ 1 Omc)) in Om * [misc]taylor: Taking taylor expansion of (/ 1 Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (/ 1 Omc) into (/ 1 Omc) * [misc]backup-simplify: Simplify (/ 1 (/ 1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 Omc) (/ 0 Omc)) (* 0 (/ 0 Omc)) (* 0 (/ 0 Omc)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 Omc)) (+ (* Omc (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))) (* 0 (/ 0 (/ 1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (+ (* 0 0) (* 0 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 Omc) (/ 1 (/ 1 Om))))) into (/ (sqr Om) (sqr Omc)) * [misc]approximate: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in (Om Omc) around 0 * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Omc * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Omc * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Omc * [misc]taylor: Taking taylor expansion of (- Om) in Omc * [misc]taylor: Taking taylor expansion of Om in Omc * [misc]backup-simplify: Simplify Om into Om * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (- Om) into (- Om) * [misc]backup-simplify: Simplify (/ 1 (- Om)) into (/ -1 Om) * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Omc * [misc]taylor: Taking taylor expansion of (- Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 Om) -1) into (/ 1 Om) * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]taylor: Taking taylor expansion of (sqr (/ (/ 1 (- Om)) (/ 1 (- Omc)))) in Om * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- Om)) (/ 1 (- Omc))) in Om * [misc]taylor: Taking taylor expansion of (/ 1 (- Om)) in Om * [misc]taylor: Taking taylor expansion of (- Om) in Om * [misc]taylor: Taking taylor expansion of Om in Om * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- Omc)) in Om * [misc]taylor: Taking taylor expansion of (- Omc) in Om * [misc]taylor: Taking taylor expansion of Omc in Om * [misc]backup-simplify: Simplify Omc into Omc * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (/ 1 (- Omc)) into (/ -1 Omc) * [misc]backup-simplify: Simplify (/ -1 (/ -1 Omc)) into Omc * [misc]backup-simplify: Simplify (* Omc Omc) into (sqr Omc) * [misc]taylor: Taking taylor expansion of (sqr Omc) in Omc * [misc]taylor: Taking taylor expansion of Omc in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (* 0 Omc)) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (* 0 Omc))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- Omc) into (- Omc) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 Omc) (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))) (* 0 (/ 0 (- Omc))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 Omc)) (+ (* Omc (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))) (* 0 (/ 0 (/ -1 Omc))))) into 0 * [misc]backup-simplify: Simplify (+ (* Omc 0) (+ (* 0 0) (+ (* 0 0) (* 0 Omc)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in Omc * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 (sqr (* (/ 1 (- Omc)) (/ 1 (/ 1 (- Om)))))) into (/ (sqr Om) (sqr Omc)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) 1)) * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (/ (* t (sqrt 2)) l))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (* (/ t l) (sqrt 2)))) * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (/ (* t (sqrt 2)) l))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (* (/ t l) (sqrt 2)))) * * * * [misc]progress: [ 4 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Om) (sqr Omc))) (+ 1 (* 2 (/ (sqr t) (sqr l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (sqr (/ t l)) (+ (sqr (/ t l)) 1))))) * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Omc Om))) (+ (sqr (/ l t)) (+ (sqr (/ l t)) 1))))) * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (sqrt (/ (- 1 (/ (sqr Omc) (sqr Om))) (+ 1 (* 2 (/ (sqr l) (sqr t))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (asin (sqrt (/ (- 1 (sqr (/ Omc Om))) (+ (sqr (/ l t)) (+ (sqr (/ l t)) 1))))) * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 9 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin 0) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (asin 0) * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (asin (/ (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (asin (/ (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (asin (/ (sqrt (- 1 (/ (sqr Om) (sqr Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (asin (/ (sqrt (- 1 (* (/ Om Omc) (/ Om Omc)))) (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 13 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (log (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 16 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (exp (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (exp (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 17 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 18 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * [exit]simplify: Simplified to (* (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * * * * [misc]progress: [ 19 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * * * * [misc]progress: [ 20 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow (* 2 (sqr (/ t l))) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (sqrt (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1)) * [exit]simplify: Simplified to (sqrt (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1)) * [enter]simplify: Simplifying (sqrt (+ (sqr 1) (- (sqr (* 2 (sqr (/ t l)))) (* 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr 1) (sqr (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))) * [enter]simplify: Simplifying (sqrt (- 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ t l) (+ (/ t l) (/ t l))))) * [exit]simplify: Simplified to (sqrt (- 1 (* (/ t l) (+ (/ t l) (/ t l))))) * * * * [misc]progress: [ 22 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 23 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (acos (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (acos (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (acos (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 26 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (log (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (log (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 28 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (exp (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (exp (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (cbrt (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (cbrt (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 30 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (cube (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (cube (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l)))))))) * * * * [misc]progress: [ 31 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (sqrt (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (sqrt (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 32 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 (sqr (/ Om Omc))))) (log (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (- (log (sqrt (- 1 (sqr (/ Om Omc))))) (log (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (- (log (sqrt (- 1 (sqr (/ Om Omc))))) (log (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 35 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)))) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)))) * * * * [misc]progress: [ 36 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (exp (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 37 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (sqrt (- 1 (sqr (/ Om Omc))))) (cube (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))) (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (* (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))) (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 38 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (* (- 1 (sqr (/ Om Omc))) (sqrt (- 1 (sqr (/ Om Omc))))) (* (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l)))) (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))) * [exit]simplify: Simplified to (/ (* (- 1 (sqr (/ Om Omc))) (sqrt (- 1 (sqr (/ Om Omc))))) (* (sqrt (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l)))) (+ (+ 1 (* (/ t l) (/ t l))) (* (/ t l) (/ t l))))) * * * * [misc]progress: [ 40 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 (sqr (/ Om Omc))))) (cbrt (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (sqr (/ Om Omc))))) (cbrt (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 (sqr (/ Om Omc))))) (cbrt (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 41 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))) * [exit]simplify: Simplified to (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))) * * * * [misc]progress: [ 42 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (* (/ t l) (/ t l)) (+ 1 (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 43 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 (sqr (/ Om Omc))))) (sqrt (sqrt (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (sqr (/ Om Omc))))) (sqrt (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 (sqr (/ Om Omc))))) (sqrt (sqrt (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))))))) * * * * [misc]progress: [ 44 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (- 1 (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (- (sqrt (- 1 (sqr (/ Om Omc))))) * [exit]simplify: Simplified to (- (sqrt (- 1 (sqr (/ Om Omc))))) * [enter]simplify: Simplifying (- (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (- (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (- (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 45 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 46 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [exit]simplify: Simplified to (/ (sqrt 1) 1) * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 49 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 51 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* 2 (sqr (/ t l))))) (sqrt (- 1 (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) * * * * [misc]progress: [ 52 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt 1)) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt 1)) * * * * [misc]progress: [ 53 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) 1) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) 1) * * * * [misc]progress: [ 54 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* 2 (sqr (/ t l))))) (sqrt (- 1 (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) * * * * [misc]progress: [ 55 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 (* 2 (sqr (/ t l))))) (sqrt (- 1 (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) * [exit]simplify: Simplified to (/ (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) (sqrt (- 1 (* (/ Om Omc) (/ Om Omc))))) * * * * [misc]progress: [ 56 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (pow 1 3) (pow (* 2 (sqr (/ t l))) 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1))) * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (- (sqr 1) (sqr (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (- 1 (* (+ (sqr (/ t l)) (sqr (/ t l))) (+ (sqr (/ t l)) (sqr (/ t l))))))) * [exit]simplify: Simplified to (/ (sqrt (- 1 (sqr (/ Om Omc)))) (sqrt (- 1 (* (+ (sqr (/ t l)) (sqr (/ t l))) (+ (sqr (/ t l)) (sqr (/ t l))))))) * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 2 (sqr (/ t l))))) (sqrt (+ (sqr 1) (+ (sqr (sqr (/ Om Omc))) (* 1 (sqr (/ Om Omc))))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (+ (/ t l) (/ t l)) (/ t l)) 1)) (sqrt (+ (* (sqr (/ Om Omc)) (sqr (/ Om Omc))) (+ 1 (sqr (/ Om Omc)))))) * [exit]simplify: Simplified to (* (sqrt (+ (* (+ (/ t l) (/ t l)) (/ t l)) 1)) (sqrt (+ (* (sqr (/ Om Omc)) (sqr (/ Om Omc))) (+ 1 (sqr (/ Om Omc)))))) * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ 1 (* 2 (sqr (/ t l))))) (sqrt (+ 1 (sqr (/ Om Omc))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ Om Omc) (/ Om Omc)) 1)) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (* (sqrt (+ (* (/ Om Omc) (/ Om Omc)) 1)) (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (log (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (cbrt (* (/ Om Omc) (/ Om Omc))) * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * [exit]simplify: Simplified to (* (cube (/ Om Omc)) (cube (/ Om Omc))) * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * [exit]simplify: Simplified to (fabs (/ Om Omc)) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* 1 1) * [exit]simplify: Simplified to (* 1 1) * [enter]simplify: Simplifying (sqr (/ Om Omc)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ Om Omc) (/ Om Omc)) * [exit]simplify: Simplified to (* (/ Om Omc) (/ Om Omc)) * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr Om) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Om Om) * [exit]simplify: Simplified to (* Om Om) * [enter]simplify: Simplifying (sqr (/ 1 Omc)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 Omc) Omc) * [exit]simplify: Simplified to (/ (/ 1 Omc) Omc) * * * * [misc]progress: [ 69 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr Om) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Om Om) * [exit]simplify: Simplified to (* Om Om) * [enter]simplify: Simplifying (sqr Omc) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (* Omc Omc) * [exit]simplify: Simplified to (* Omc Omc) * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) 1.1249976801847743e-288) #s(sp 1 (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) +inf.0)) , with alts (# #) * [misc]splitpoints: intervals are: ((#f . #s(sp 0 (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) 1.1249976801847743e-288))) * [misc]splitpoints: intervals are: ((#s(sp 0 (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) 1.1249976801847743e-288) . #s(sp 1 (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))) +inf.0))) * [enter]simplify: Simplifying (exp (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [enter]simplify: Simplifying (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (/ (* t (sqrt 2)) l))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (asin (/ (sqrt (- 1 (sqr (/ Om Omc)))) (* (/ t l) (sqrt 2)))) * [enter]simplify: Simplifying (cube (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (cube (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (/ t l) (+ (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (cube (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* (/ t l) (+ (/ t l) (/ t l)))))))) * [enter]simplify: Simplifying (exp (sqr (/ Om Omc))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [exit]simplify: Simplified to (exp (* (/ Om Omc) (/ Om Omc))) * [enter]simplify: Simplifying (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * [exit]simplify: Simplified to (sqrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l)))))))) * [enter]simplify: Simplifying (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (pow 1 3) (pow (* 2 (sqr (/ t l))) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (317 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1))) * [exit]simplify: Simplified to (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ (cube (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) 1))) * [enter]simplify: Simplifying (sqrt (+ (sqr 1) (- (sqr (* 2 (sqr (/ t l)))) (* 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (sqrt (- (sqr (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))) (- (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [enter]simplify: Simplifying (sqrt (- 1 (sqr (/ Om Omc)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [exit]simplify: Simplified to (sqrt (- 1 (sqr (/ Om Omc)))) * [enter]simplify: Simplifying (sqrt (+ 1 (* 2 (sqr (/ t l))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * [exit]simplify: Simplified to (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)) * [enter]simplify: Simplifying (cbrt (sqr (/ t l))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ t l) (/ t l))) * [exit]simplify: Simplified to (cbrt (* (/ t l) (/ t l))) * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (acos (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (* 2 (sqr (/ t l))))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (acos (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [exit]simplify: Simplified to (acos (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (sqr (/ t l)) (sqr (/ t l))))))) * [enter]simplify: Simplifying (cbrt (asin (sqrt (/ (- 1 (log (exp (sqr (/ Om Omc))))) (+ 1 (* 2 (sqr (/ t l)))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (cbrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * [exit]simplify: Simplified to (cbrt (asin (sqrt (/ (- 1 (sqr (/ Om Omc))) (+ 1 (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l)))))))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (* 2 (sqr (/ t l)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (+ (* (/ t l) (/ t l)) (* (/ t l) (/ t l))) 1)))