* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ (* (log N) N) 1)) * [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 (- (* (+ N 1) (log (+ N 1))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ N 1) (log (+ N 1))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) 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 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 (- (log N))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -1/6 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow N 3)) (+ (* 1/2 (sqr N)) (* (- 1 (log N)) N))) into (- (+ (* 1/2 (sqr N)) N) (+ (* (log N) N) (* 1/6 (pow N 3)))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (* -1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1 (log N)) 0) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 (- (log N)))))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 N))) (+ (* 1/2 (/ 1 N)) (- 1 (log N)))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (* -1 (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) (- (log -1) (log N))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 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 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ 1 (log -1)) (log N)) 0) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/2) 0) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/3) (+ (* 1 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N)))))) into (- 1/6) * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- 1/6) 0) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (sqr (/ 1 (- N)))) (+ (* -1/2 (/ 1 (- N))) (- (+ 1 (log -1)) (log N)))) into (- (+ 1 (+ (log -1) (* 1/2 (/ 1 N)))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (* N (log N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log N))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow 1 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow 1 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow 1 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow 1 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow 1 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow 1 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow 1 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 1)))) 5040) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (log N) N) into (* N (log N)) * [misc]approximate: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (log N)) (/ 1 (/ 1 N))) into (* -1 (* N (log N))) * [misc]approximate: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))))) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (- (log -1) (log N))) (/ 1 (/ 1 (- N)))) into (* (- (log -1) (log N)) N) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ N 1) (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [misc]backup-simplify: Simplify (+ (* -1/6 (pow N 3)) (+ (* 1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* -1 (log N)) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- 1 (log N)) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ 1 N)) (+ (- 1 (log N)) (* (* -1 (log N)) (/ 1 (/ 1 N))))) into (- (+ 1 (* 1/2 (/ 1 N))) (+ (* (log N) N) (log N))) * [misc]approximate: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 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 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (+ 1 (log -1)) (log N)) into (- (+ 1 (log -1)) (log N)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (/ 1 (- N))) (+ (- (+ 1 (log -1)) (log N)) (* (* -1 (- (log -1) (log N))) (/ 1 (/ 1 (- N)))))) into (- (+ (* (log -1) N) (+ 1 (+ (log -1) (* 1/2 (/ 1 N))))) (+ (* (log N) N) (log N))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (+ (* (log N) N) (* 1/6 (pow N 3)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (- (- (- N (* (log N) N)) (* (sqr N) (- (* 1/6 N) 1/2))) 1) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) (log N)) (/ (/ 1/6 N) N)) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ 1 (+ (log -1) (* 1/2 (/ 1 N)))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (+ 1 (+ (log -1) (/ 1/2 N))) (+ (/ 1/6 (* N N)) (+ (log N) 1))) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (- (+ (+ (* N N) N) (* (* (* N N) (+ 1 N)) (- (* 1/3 N) 1/2))) (+ 1 (* (log N) N))) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (* N (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (- (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (195 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (- (+ (/ (+ 1 N) N) (* (- (- (log -1) (log N)) (/ 1/2 (* N N))) (+ 1 N))) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* -1 (* N (log N)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (+ (* (- N) (log N)) 1)) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* (- (log -1) (log N)) N)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (+ 1 (* N (- (log -1) (log N))))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- (- (* (- 1/2 (* 1/6 N)) (sqr N)) (- (* (log N) N) N)) 1) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ 1 (* 1/2 (/ 1 N))) (+ (* (log N) N) (log N))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (+ (- (- (/ 1/2 N) (log N)) (* N (log N))) (- (- 1 1) (* N (log N)))) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* (log -1) N) (+ 1 (+ (log -1) (* 1/2 (/ 1 N))))) (+ (* (log N) N) (log N))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (- (- (+ (+ (/ 1/2 N) 1) (* (log -1) (+ 1 N))) (+ (* (log N) N) (* (log N) (+ 1 N)))) 1) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (* (+ N 1) (log (+ N 1)))) (exp (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (log (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * [exit]simplify: Simplified to (log (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (cbrt (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * [exit]simplify: Simplified to (cbrt (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cube (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (cube (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (sqrt (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * [exit]simplify: Simplified to (sqrt (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (* (+ N 1) (log (+ N 1))) 3) (pow (* N (log N)) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* (log N) N))) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* (log N) N))) * [enter]simplify: Simplifying (+ (sqr (* (+ N 1) (log (+ N 1)))) (+ (sqr (* N (log N))) (* (* (+ N 1) (log (+ N 1))) (* N (log N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (+ (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (+ (* N (log N)) (* (log (+ 1 N)) (+ 1 N))) (* N (log N)))) * [exit]simplify: Simplified to (+ (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (+ (* N (log N)) (* (log (+ 1 N)) (+ 1 N))) (* N (log N)))) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* N (log N))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (log N) (- N)) * [exit]simplify: Simplified to (* (log N) (- N)) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* (+ N 1) (log (+ N 1)))) (sqr (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * [exit]simplify: Simplified to (* (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * [exit]simplify: Simplified to (* (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * [enter]simplify: Simplifying (+ (* (+ N 1) (log (+ N 1))) (* N (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) * [exit]simplify: Simplified to (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (+ (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * [enter]simplify: Simplifying (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (- (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N))))) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N))))) * [enter]simplify: Simplifying (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N)))) (sqrt (* (log N) N))) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N)))) (sqrt (* (log N) N))) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (+ N 1) (log (+ N 1))) (* N (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) * * * * [misc]progress: [ 28 / 67 ] 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ 1 (cube N))) * [exit]simplify: Simplified to (log (+ 1 (cube N))) * [enter]simplify: Simplifying (log (+ (sqr N) (- (sqr 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (log N) (log (log N))) * [exit]simplify: Simplified to (+ (log N) (log (log N))) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (pow N N) * [exit]simplify: Simplified to (pow N N) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cube (* (log N) N)) * [exit]simplify: Simplified to (cube (* (log N) N)) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (* (log N) N)) * [exit]simplify: Simplified to (sqrt (* (log N) N)) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* N 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to N * [exit]simplify: Simplified to N * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ N 1)) (log (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log (log (+ 1 N)))) * [exit]simplify: Simplified to (+ (log (+ 1 N)) (log (log (+ 1 N)))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (log (* (log (+ 1 N)) (+ 1 N))) * [exit]simplify: Simplified to (log (* (log (+ 1 N)) (+ 1 N))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (pow (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (pow (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (+ N 1)) (cube (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (* (* (cube (+ 1 N)) (log (+ 1 N))) (* (log (+ 1 N)) (log (+ 1 N)))) * [exit]simplify: Simplified to (* (* (cube (+ 1 N)) (log (+ 1 N))) (* (log (+ 1 N)) (log (+ 1 N)))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 N)) (+ 1 N))) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 N)) (+ 1 N))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (cube (* (log (+ 1 N)) (+ 1 N))) * [exit]simplify: Simplified to (cube (* (log (+ 1 N)) (+ 1 N))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 N)) (+ 1 N))) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 N)) (+ 1 N))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N)))) * [exit]simplify: Simplified to (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N)))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log 1)) * * [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 (27 enodes) * [exit]simplify: Simplified to (* (log 1) (+ 1 N)) * [exit]simplify: Simplified to (* (log 1) (+ 1 N)) * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (log 1) (+ N 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (+ 1 N) (log 1)) * [exit]simplify: Simplified to (* (+ 1 N) (log 1)) * [enter]simplify: Simplifying (* (log (+ N 1)) (+ N 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ N 1) (log (+ N 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (+ 1 N)) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow N 3) (pow 1 3)) (log (+ N 1))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (+ 1 (cube N)) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ 1 (cube N)) (log (+ N 1))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (sqr N) (sqr 1)) (log (+ N 1))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (* (log (+ N 1)) (- (* N N) 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (- (* N N) 1)) * * * * [misc]progress: [ 67 / 67 ] 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) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (pow N 1/3) 3) 0) into N * [misc]backup-simplify: Simplify N into N * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/6 (pow N 1/3))) (* 1/3 (pow N 1/3))) into (* 1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 3 1/6) (* 0 (log (pow N 1/3)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/2 N) (- (log N))) into (- (* 1/2 N) (log N)) * [misc]backup-simplify: Simplify (- (* 1/2 N) (log N)) into (- (* 1/2 N) (log N)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/12 (pow N 1/3))) (+ (* 1/3 (* -1/6 (pow N 1/3))) (* -1/9 (pow N 1/3)))) into (- (* 1/12 (pow N 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (pow N 1/3)))) 1)) (pow (pow N 1/3) 1)))) 2) into -7/72 * [misc]backup-simplify: Simplify (+ (* 3 -7/72) (+ (* 0 1/6) (* 0 (log (pow N 1/3))))) into (- 7/24) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow (- 7/24) 1) 1)))) into (* -1/6 N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/6 N) 0) into (- (* 1/6 N)) * [misc]backup-simplify: Simplify (- (* 1/6 N)) into (- (* 1/6 N)) * [misc]backup-simplify: Simplify (+ (* (- (* 1/6 N)) (sqr N)) (+ (* (- (* 1/2 N) (log N)) N) N)) into (- (+ (* 1/2 (sqr N)) N) (+ (* (log N) N) (* 1/6 (pow N 3)))) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (- (* -1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 0 (log N)) into (log N) * [misc]backup-simplify: Simplify (log N) into (log N) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (pow (* -1 (/ (log N) N)) 1/3) 3) 0) into (/ (* -1 (log N)) N) * [misc]backup-simplify: Simplify (/ (* -1 (log N)) N) into (* -1 (/ (log N) N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (sqr (log N))) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* -1/3 (pow (/ -1 (sqr (log N))) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow (- (log N)) 1/3))) into (- (* 1/3 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/3 (pow (/ -1 (* N (sqr (log N)))) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/3 (pow (/ -1 (* N (sqr (log N)))) 1/3)))) 1)) (pow (pow (/ (* (log N) -1) N) 1/3) 1)))) 1) into (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (/ 1 (log N)) (pow (sqr -1) 1/3)))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (/ 1 (log N)) (pow (sqr -1) 1/3))))) (* 0 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (- 1 (/ 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) (+ (* (/ (pow (- 1 (/ 1 (log N))) 1) 1)))) into (/ (* -1 (* (- 1 (/ 1 (log N))) (log N))) N) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (* -1 (* (- 1 (/ 1 (log N))) (log N))) N) 0) into (- (/ 1 N) (/ (log N) N)) * [misc]backup-simplify: Simplify (- (/ 1 N) (/ (log N) N)) into (- (/ 1 N) (/ (log N) N)) * [misc]backup-simplify: Simplify (+ (* (- (/ 1 N) (/ (log N) N)) (/ 1 N)) (+ (* -1 (/ (log N) N)) (* (log N) (/ 1 (/ 1 N))))) into (- (+ (/ 1 (sqr N)) (* N (log N))) (+ (/ (log N) N) (/ (log N) (sqr N)))) * [misc]approximate: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (* -1 (- (log -1) (log N)))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (log -1) (log N))) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) 0) into (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) into (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3)) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/3 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/3 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))))) 1)) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 1)))) 1) into (* -1 (+ 1/3 (* 1/3 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (+ 1/3 (* 1/3 (/ 1 (- (log -1) (log N))))))) (* 0 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (- (+ 1 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (+ 1 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) 0) into (- (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (- (log -1) (log N)))) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (- (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (- (log -1) (log N)))) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (- (log -1) (log N))))) into (- (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (- (log -1) (log N)))) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (- (log -1) (log N)))) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (- (log -1) (log N))))) (/ 1 (- N))) (+ (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N)))))) into (- (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) N) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* (- (log -1) (log N)) N)) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* N (log N))))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (* N (- (log -1) (log N)))) (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) N) (* (log -1) N))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow N 1/3) 3) into (pow (pow N 1/3) 3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/6 (pow N 1/3))) (* 1/3 (pow N 1/3))) into (* 1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 3 1/6) (* 0 (log (pow N 1/3)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 N) * [misc]backup-simplify: Simplify (* 1/2 N) into (* 1/2 N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/12 (pow N 1/3))) (+ (* 1/3 (* -1/6 (pow N 1/3))) (* -1/9 (pow N 1/3)))) into (- (* 1/12 (pow N 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (pow N 1/3)))) 1)) (pow (pow N 1/3) 1)))) 2) into -7/72 * [misc]backup-simplify: Simplify (+ (* 3 -7/72) (+ (* 0 1/6) (* 0 (log (pow N 1/3))))) into (- 7/24) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow (- 7/24) 1) 1)))) into (* -1/6 N) * [misc]backup-simplify: Simplify (* -1/6 N) into (* -1/6 N) * [misc]backup-simplify: Simplify (+ (* (* -1/6 N) (sqr N)) (+ (* (* 1/2 N) N) (pow (pow N 1/3) 3))) into (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]backup-simplify: Simplify (pow (pow (* -1 (/ (log N) N)) 1/3) 3) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (sqr (log N))) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* -1/3 (pow (/ -1 (sqr (log N))) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow (- (log N)) 1/3))) into (- (* 1/3 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/3 (pow (/ -1 (* N (sqr (log N)))) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/3 (pow (/ -1 (* N (sqr (log N)))) 1/3)))) 1)) (pow (pow (/ (* (log N) -1) N) 1/3) 1)))) 1) into (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (/ 1 (log N)) (pow (sqr -1) 1/3)))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (/ 1 (log N)) (pow (sqr -1) 1/3))))) (* 0 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (- 1 (/ 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) (+ (* (/ (pow (- 1 (/ 1 (log N))) 1) 1)))) into (/ (* -1 (* (- 1 (/ 1 (log N))) (log N))) N) * [misc]backup-simplify: Simplify (/ (* -1 (* (- 1 (/ 1 (log N))) (log N))) N) into (* -1 (/ (* (- 1 (/ 1 (log N))) (log N)) N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N)))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (sqr (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (sqr (log N))))) 1) 1)))) into (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (sqr (log N))))) (pow (* -1 (log N)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (sqr (log N))))) (pow (* -1 (log N)) 1/3))) (+ (* (* 1/3 (pow (/ 1 N) 1/3)) (* -1/3 (pow (/ -1 (sqr (log N))) 1/3))) (* (* -1/9 (pow (/ 1 N) 1/3)) (pow (- (log N)) 1/3)))) into (- (* 1/6 (pow (/ -1 (* N (sqr (log N)))) 1/3)) (+ (* 1/9 (pow (/ -1 (* (sqr (log N)) N)) 1/3)) (+ (* 1/9 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/9 (pow (/ -1 (* N (pow (log N) 5))) 1/3))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/3 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/3 (pow (/ -1 (* N (sqr (log N)))) 1/3)))) 2)) (pow (pow (/ (* (log N) -1) N) 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/6 (pow (/ -1 (* N (sqr (log N)))) 1/3)) (+ (* 1/9 (pow (/ -1 (* (sqr (log N)) N)) 1/3)) (+ (* 1/9 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/9 (pow (/ -1 (* N (pow (log N) 5))) 1/3)))))) 1)) (pow (pow (/ (* (log N) -1) N) 1/3) 1)))) 2) into (* 1/2 (- (* 1/3 (/ 1 (log N))) (+ 1/3 (* 1/3 (/ 1 (sqr (log N))))))) * [misc]backup-simplify: Simplify (+ (* 3 (* 1/2 (- (* 1/3 (/ 1 (log N))) (+ 1/3 (* 1/3 (/ 1 (sqr (log N)))))))) (+ (* 0 (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (/ 1 (log N)) (pow (sqr -1) 1/3))))) (* 0 (log (pow (* -1 (/ (log N) N)) 1/3))))) into (- (* 1/2 (/ 1 (log N))) (+ 1/2 (* 1/2 (/ 1 (sqr (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) (+ (* (/ (pow (- 1 (/ 1 (log N))) 2) 2)) (* (/ (pow (- (* 1/2 (/ 1 (log N))) (+ 1/2 (* 1/2 (/ 1 (sqr (log N)))))) 1) 1)))) into (* -1/2 (/ -1 N)) * [misc]backup-simplify: Simplify (* -1/2 (/ -1 N)) into (/ 1/2 N) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 N) (sqr (/ 1 N))) (+ (* (* -1 (/ (* (- 1 (/ 1 (log N))) (log N)) N)) (/ 1 N)) (pow (pow (* -1 (/ (log N) N)) 1/3) 3))) into (- (+ (/ 1 (sqr N)) (* 1/2 (/ 1 (pow N 3)))) (+ (/ (log N) N) (/ (log N) (sqr N)))) * [misc]approximate: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]backup-simplify: Simplify (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3)) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/3 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/3 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))))) 1)) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 1)))) 1) into (* -1 (+ 1/3 (* 1/3 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (+ 1/3 (* 1/3 (/ 1 (- (log -1) (log N))))))) (* 0 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (- (+ 1 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (+ 1 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) * [misc]backup-simplify: Simplify (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) into (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N))))))) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log N))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N)))))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3)))) into (- (+ (* 1/18 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log N)) 5)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/9 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/3 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))))) 2)) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (+ (* 1/18 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log N)) 5)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/9 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))))) 1)) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 1)))) 2) into (* -1/2 (+ 1/3 (+ (* 1/3 (/ 1 (sqr (- (log -1) (log N))))) (* 1/3 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1/2 (+ 1/3 (+ (* 1/3 (/ 1 (sqr (- (log -1) (log N))))) (* 1/3 (/ 1 (- (log -1) (log N)))))))) (+ (* 0 (* -1 (+ 1/3 (* 1/3 (/ 1 (- (log -1) (log N))))))) (* 0 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))))) into (- (+ 1/2 (+ (* 1/2 (/ 1 (sqr (- (log -1) (log N))))) (* 1/2 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (+ 1 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ 1/2 (+ (* 1/2 (/ 1 (sqr (- (log -1) (log N))))) (* 1/2 (/ 1 (- (log -1) (log N))))))) 1) 1)))) into (* 1/2 (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) * [misc]backup-simplify: Simplify (* 1/2 (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) into (* 1/2 (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (sqr (/ 1 (- N)))) (+ (* (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) (/ 1 (- N))) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3))) into (- (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) N) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* (- (log -1) (log N)) N)) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (sqr N)))))) (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (* N (- (log -1) (log N)))) (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) N)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (log (+ N 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (pow N 1/3) into (pow N 1/3) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* -1/6 (pow N 1/3)) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (* 1/12 (pow N 1/3)) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 1/12 (pow N 1/3)) (sqr N)) (+ (* (* -1/6 (pow N 1/3)) N) (pow N 1/3))) into (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))) * [misc]approximate: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (pow (- (log N)) 1/3) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (sqr (log N))) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ -1 (sqr (log N))) 1/3)) into (* -1/3 (pow (/ -1 (sqr (log N))) 1/3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log N)) 1)))) 2) into (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* 1/2 (- (/ 1 (log N)) (/ 1 (sqr (log N)))))) (+ (* 0 (/ -1 (log N))) (* 0 (log (- (log N)))))) into (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (sqr (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (log N))) (* 1/6 (/ 1 (sqr (log N))))) 1) 1)))) into (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (sqr (log N))))) (pow (* -1 (log N)) 1/3)) * [misc]backup-simplify: Simplify (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (sqr (log N))))) (pow (* -1 (log N)) 1/3)) into (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (sqr (log N))))) (pow (* -1 (log N)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* (- (* 1/6 (/ 1 (log N))) (* 1/9 (/ 1 (sqr (log N))))) (pow (* -1 (log N)) 1/3)) (sqr (/ 1 N))) (+ (* (* -1/3 (pow (/ -1 (sqr (log N))) 1/3)) (/ 1 N)) (pow (- (log N)) 1/3))) into (- (+ (pow (- (log N)) 1/3) (* 1/6 (* (pow (/ -1 (sqr (log N))) 1/3) (/ 1 (sqr N))))) (+ (* 1/9 (* (pow (/ -1 (pow (log N) 5)) 1/3) (/ 1 (sqr N)))) (* 1/3 (* (/ 1 N) (pow (/ -1 (sqr (log N))) 1/3))))) * [misc]approximate: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (pow (- (log -1) (log N)) 1/3) into (pow (- (log -1) (log N)) 1/3) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3)) * [misc]backup-simplify: Simplify (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3)) into (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (log -1) (log N)) 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow (- (log -1) (log N)) 1)))) 2) into (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* 1/3 (* -1/2 (+ (/ 1 (sqr (- (log -1) (log N)))) (/ 1 (- (log -1) (log N)))))) (+ (* 0 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N)))))) into (- (+ (* 1/6 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 2) 2)) (* (/ (pow (- (+ (* 1/6 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N)))))) 1) 1)))) into (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N))))))) into (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (+ (* (* -1 (* (pow (- (log -1) (log N)) 1/3) (+ (* 1/9 (/ 1 (sqr (- (log -1) (log N))))) (* 1/6 (/ 1 (- (log -1) (log N))))))) (sqr (/ 1 (- N)))) (+ (* (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3)) (/ 1 (- N))) (pow (- (log -1) (log N)) 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (/ 1 N))) (pow (- (log -1) (log N)) 1/3)) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log N)) 5)) 1/3) (/ 1 (sqr N)))) (* 1/6 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (/ 1 (sqr N)))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (sqr N)) N) (+ (* (log N) N) (* 1/6 (pow N 3)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (- (- (- N (* (log N) N)) (* (sqr N) (- (* 1/6 N) 1/2))) 1) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ 1 (sqr N)) (* N (log N))) (+ (/ (log N) N) (/ (log N) (sqr N)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (- (- (* N (log N)) (/ (log N) N)) (+ (/ (log N) (sqr N)) 1)) (/ 1 (sqr N))) * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) N) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* (- (log -1) (log N)) N)) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* N (log N))))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (* N (- (log -1) (log N)))) (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) N) (* (log -1) N))))) 1) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (67 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * * [misc]simplify: iters left: 2 (428 enodes) * [exit]simplify: Simplified to (- (+ (* (exp (* (- (log -1) (log N)) (+ (+ 1/3 1/3) 1/3))) (+ (/ (log -1) N) (+ (/ (/ (log -1) N) (- (log -1) (log N))) (log -1)))) (- (* N (log N)) (/ (exp (* (- (log -1) (log N)) (+ (+ 1/3 1/3) 1/3))) (* (- (log -1) (log N)) (/ N (log N)))))) (+ (* (exp (* (- (log -1) (log N)) (+ (+ 1/3 1/3) 1/3))) (log N)) (+ (+ (* N (log -1)) 1) (/ (exp (* (- (log -1) (log N)) (+ (+ 1/3 1/3) 1/3))) (/ N (log N)))))) * * * * [misc]progress: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (257 enodes) * [exit]simplify: Simplified to (+ (* (+ 1 N) (- N (* (* N N) 1/2))) (- (* (* 1/3 (cube N)) (+ 1 N)) (+ (* (log N) N) 1))) * * * * [misc]progress: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (293 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (- (- (/ 1 N) (/ (/ 1/2 N) N)) (- (log N) (log -1)))) (+ 1 (* N (log N)))) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (sqr N)) N) (* 1/6 (pow N 3))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (- (- (* (- 1/2 (* 1/6 N)) (sqr N)) (- (* (log N) N) N)) 1) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (/ 1 (sqr N)) (* 1/2 (/ 1 (pow N 3)))) (+ (/ (log N) N) (/ (log N) (sqr N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (- (- (- (/ (/ 1/2 N) (sqr N)) (/ (log N) N)) (+ (/ (log N) (sqr N)) (* (log N) N))) (- 1 (/ 1 (sqr N)))) * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) N) (+ (/ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* (- (log -1) (log N)) N)) (+ (* (log -1) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)) (* 1/2 (/ (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (sqr N)))))) (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) (* N (- (log -1) (log N)))) (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 3) (log N)) N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ (cube (pow (exp 1/3) (- (log -1) (log N)))) N) (+ (/ 1/2 N) (/ (log -1) (- (log -1) (log N))))) (* (cube (pow (exp 1/3) (- (log -1) (log N)))) (log -1))) (+ (* (cube (pow (exp 1/3) (- (log -1) (log N)))) (log N)) (* (/ (cube (pow (exp 1/3) (- (log -1) (log N)))) N) (+ (/ (log N) (- (log -1) (log N))) (log N))))) (- (+ (* N (log N)) 1) (* (cube (pow (exp 1/3) (- (log -1) (log N)))) (/ (log -1) N)))) * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (- (+ (pow N 1/3) (* 1/12 (pow (pow N 7) 1/3))) (* 1/6 (pow (pow N 4) 1/3))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (cube (- (+ (cbrt N) (* 1/12 (cbrt (pow N 7)))) (* (cbrt (pow N 4)) 1/6)))) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (- (+ (pow (- (log N)) 1/3) (* 1/6 (* (pow (/ -1 (sqr (log N))) 1/3) (/ 1 (sqr N))))) (+ (* 1/9 (* (pow (/ -1 (pow (log N) 5)) 1/3) (/ 1 (sqr N)))) (* 1/3 (* (/ 1 N) (pow (/ -1 (sqr (log N))) 1/3))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (133 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (cube (+ (- (cbrt (- (log N))) (* (/ 1/9 N) (/ (cbrt (/ -1 (pow (log N) 5))) N))) (* (/ (cbrt (/ (/ -1 (log N)) (log N))) N) (- (/ 1/6 N) 1/3))))) (+ 1 (* N (log N)))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (/ 1 N))) (pow (- (log -1) (log N)) 1/3)) (+ (* 1/9 (* (pow (/ 1 (pow (- (log -1) (log N)) 5)) 1/3) (/ 1 (sqr N)))) (* 1/6 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (/ 1 (sqr N)))))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * * [misc]simplify: iters left: 2 (491 enodes) * [exit]simplify: Simplified to (- (* (cube (+ (- (cbrt (- (log -1) (log N))) (/ (cbrt (/ 1 (pow (- (log -1) (log N)) 5))) (* N (/ N 1/9)))) (* (/ (cbrt (/ 1 (sqr (- (log -1) (log N))))) N) (- 1/3 (/ 1/6 N))))) (+ 1 N)) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 13 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (exp (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * * * * [misc]progress: [ 14 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (log (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * [exit]simplify: Simplified to (log (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * * * * [misc]progress: [ 16 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) * * * * [misc]progress: [ 17 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * [exit]simplify: Simplified to (cbrt (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * * * * [misc]progress: [ 18 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (cube (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * [exit]simplify: Simplified to (cube (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * * * * [misc]progress: [ 19 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * [exit]simplify: Simplified to (sqrt (- (* (+ 1 N) (log (+ 1 N))) (* N (log N)))) * * * * [misc]progress: [ 20 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) 3) (pow (* N (log N)) 3)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* N (log N)))) * [exit]simplify: Simplified to (- (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* N (log N)))) * [enter]simplify: Simplifying (+ (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (+ (sqr (* N (log N))) (* (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (+ (* (* (log N) N) (* (log N) N)) (* (* (+ 1 N) (log (+ 1 N))) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))))) * [exit]simplify: Simplified to (+ (* (* (log N) N) (* (log N) N)) (* (* (+ 1 N) (log (+ 1 N))) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))))) * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* N (log N))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (* (log N) (- N)) * [exit]simplify: Simplified to (* (log N) (- N)) * * * * [misc]progress: [ 22 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N))) * [exit]simplify: Simplified to (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N))) * [enter]simplify: Simplifying (+ (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) * [exit]simplify: Simplified to (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) * * * * [misc]progress: [ 24 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (sqrt (* (log (+ 1 N)) (+ 1 N)))) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (sqrt (* (log (+ 1 N)) (+ 1 N)))) * [enter]simplify: Simplifying (- (sqrt (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (- (sqrt (* (log (+ 1 N)) (+ 1 N))) (sqrt (* (log N) N))) * [exit]simplify: Simplified to (- (sqrt (* (log (+ 1 N)) (+ 1 N))) (sqrt (* (log N) N))) * * * * [misc]progress: [ 25 / 57 ] 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ 1 (cube N))) * [exit]simplify: Simplified to (log (+ 1 (cube N))) * [enter]simplify: Simplifying (log (+ (sqr N) (- (sqr 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 27 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 28 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 29 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 31 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 32 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 33 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * * * * [misc]progress: [ 34 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 35 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (log (* (+ 1 N) (log (+ 1 N)))) * [exit]simplify: Simplified to (log (* (+ 1 N) (log (+ 1 N)))) * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (pow (+ 1 N) (+ 1 N)) * [exit]simplify: Simplified to (pow (+ 1 N) (+ 1 N)) * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [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 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (cbrt (* (+ 1 N) (log (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (* (+ 1 N) (log (+ 1 N)))) * * * * [misc]progress: [ 41 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (228 enodes) * [exit]simplify: Simplified to (cube (* (+ 1 N) (log (+ 1 N)))) * [exit]simplify: Simplified to (cube (* (+ 1 N) (log (+ 1 N)))) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * [enter]simplify: Simplifying (cube (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cbrt (+ (pow N 3) (pow 1 3))) (cbrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (* (+ 1 (cube N)) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ 1 (cube N)) (log (+ N 1))) * [enter]simplify: Simplifying (cube (cbrt (+ (sqr N) (- (sqr 1) (* N 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (+ (* N N) (- 1 N)) * [exit]simplify: Simplified to (+ (* N N) (- 1 N)) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cbrt (- (sqr N) (sqr 1))) (cbrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (- (* N N) 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (- (* N N) 1) (log (+ N 1))) * [enter]simplify: Simplifying (cube (cbrt (- N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (- N 1) * [exit]simplify: Simplified to (- N 1) * * * * [misc]progress: [ 45 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))) (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [exit]simplify: Simplified to (* (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))) (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (sqrt (* (+ 1 N) (log (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (* (+ 1 N) (log (+ 1 N)))) * * * * [misc]progress: [ 47 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (log (cbrt (log (+ 1 N)))) * * * * [misc]progress: [ 51 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (exp (cbrt (log (+ 1 N)))) * * * * [misc]progress: [ 52 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 53 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 54 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (cbrt (log (+ 1 N)))) * * * * [misc]progress: [ 55 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 56 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (sqrt (cbrt (log (+ 1 N)))) * * * * [misc]progress: [ 57 / 57 ] 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 1) * [misc]approximate: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (pow (pow N 1/3) 3) (pow (pow N 1/3) 3)) into (sqr N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr N) 0) into (sqr N) * [misc]backup-simplify: Simplify (sqr N) into (sqr N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/6 (pow N 1/3))) (* 1/3 (pow N 1/3))) into (* 1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 3 1/6) (* 0 (log (pow N 1/3)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 N) * [misc]backup-simplify: Simplify (+ (* (pow (pow N 1/3) 3) (* 1/2 N)) (* (* 1/2 N) (pow (pow N 1/3) 3))) into (sqr N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 (log N)) (* (log N) 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr N) 0) into (sqr N) * [misc]backup-simplify: Simplify (sqr N) into (sqr N) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/12 (pow N 1/3))) (+ (* 1/3 (* -1/6 (pow N 1/3))) (* -1/9 (pow N 1/3)))) into (- (* 1/12 (pow N 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (pow N 1/3)))) 1)) (pow (pow N 1/3) 1)))) 2) into -7/72 * [misc]backup-simplify: Simplify (+ (* 3 -7/72) (+ (* 0 1/6) (* 0 (log (pow N 1/3))))) into (- 7/24) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow (- 7/24) 1) 1)))) into (* -1/6 N) * [misc]backup-simplify: Simplify (+ (* (pow (pow N 1/3) 3) (* -1/6 N)) (+ (* (* 1/2 N) (* 1/2 N)) (* (* -1/6 N) (pow (pow N 1/3) 3)))) into (- (* 1/12 (sqr N))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (log N) (log N)) (* 0 0))) into (sqr (log N)) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (- (* 1/12 (sqr N))) (- (sqr (log N)))) into (- (+ (sqr (log N)) (* 1/12 (sqr N)))) * [misc]backup-simplify: Simplify (- (+ (sqr (log N)) (* 1/12 (sqr N)))) into (- (+ (sqr (log N)) (* 1/12 (sqr N)))) * [misc]backup-simplify: Simplify (+ (* (- (+ (sqr (log N)) (* 1/12 (sqr N)))) (sqr N)) (+ (* (sqr N) N) (sqr N))) into (- (+ (pow N 3) (sqr N)) (+ (* 1/12 (pow N 4)) (* (sqr (log N)) (sqr N)))) * [misc]approximate: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* (* -1 (log N)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (sqr (log N)))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (* 0 (* -1 (log N)))) 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 (* (pow (pow (* -1 (/ (log N) N)) 1/3) 3) (pow (pow (* -1 (/ (log N) N)) 1/3) 3)) into (/ (* (sqr -1) (sqr (log N))) (sqr N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (* 0 (* -1 (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (* (sqr -1) (sqr (log N))) (sqr N)) 0) into (/ (sqr (log N)) (sqr N)) * [misc]backup-simplify: Simplify (/ (sqr (log N)) (sqr N)) into (/ (sqr (log N)) (sqr N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- (log N)) 1)))) 1) into (/ -1 (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (log N))) (* 0 (log (- (log N))))) into (- (* 1/3 (/ 1 (log N)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (log N)))) 1) 1)))) into (* -1/3 (pow (/ -1 (sqr (log N))) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log N)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log N))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 N) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow N -1/3) (* -1/3 (pow (/ -1 (sqr (log N))) 1/3))) (* (* 1/3 (pow (/ 1 N) 1/3)) (pow (- (log N)) 1/3))) into (- (* 1/3 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/3 (pow (/ -1 (* N (sqr (log N)))) 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/3 (pow (/ (* -1 (log N)) N) 1/3)) (* 1/3 (pow (/ -1 (* N (sqr (log N)))) 1/3)))) 1)) (pow (pow (/ (* (log N) -1) N) 1/3) 1)))) 1) into (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (/ 1 (log N)) (pow (sqr -1) 1/3)))) * [misc]backup-simplify: Simplify (+ (* 3 (- (* 1/3 (pow (sqr -1) 1/3)) (* 1/3 (* (/ 1 (log N)) (pow (sqr -1) 1/3))))) (* 0 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (- 1 (/ 1 (log N))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) (+ (* (/ (pow (- 1 (/ 1 (log N))) 1) 1)))) into (/ (* -1 (* (- 1 (/ 1 (log N))) (log N))) N) * [misc]backup-simplify: Simplify (+ (* (pow (pow (* -1 (/ (log N) N)) 1/3) 3) (/ (* -1 (* (- 1 (/ 1 (log N))) (log N))) N)) (* (/ (* -1 (* (- 1 (/ 1 (log N))) (log N))) N) (pow (pow (* -1 (/ (log N) N)) 1/3) 3))) into (- (* 2 (/ (sqr (log N)) (sqr N))) (* 2 (/ (log N) (sqr N)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (* 2 (/ (sqr (log N)) (sqr N))) (* 2 (/ (log N) (sqr N)))) 0) into (- (* 2 (/ (sqr (log N)) (sqr N))) (* 2 (/ (log N) (sqr N)))) * [misc]backup-simplify: Simplify (- (* 2 (/ (sqr (log N)) (sqr N))) (* 2 (/ (log N) (sqr N)))) into (- (* 2 (/ (sqr (log N)) (sqr N))) (* 2 (/ (log N) (sqr N)))) * [misc]backup-simplify: Simplify (+ (* (- (* 2 (/ (sqr (log N)) (sqr N))) (* 2 (/ (log N) (sqr N)))) (/ 1 N)) (+ (/ (sqr (log N)) (sqr N)) (* (- (sqr (log N))) (sqr (/ 1 (/ 1 N)))))) into (- (+ (* 2 (/ (sqr (log N)) (pow N 3))) (/ (sqr (log N)) (sqr N))) (+ (* (sqr (log N)) (sqr N)) (* 2 (/ (log N) (pow N 3))))) * [misc]approximate: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* (* -1 (- (log -1) (log N))) (* -1 (- (log -1) (log N)))) into (sqr (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (sqr (- (log -1) (log N)))) into (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N))))) into (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) into (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (* 0 (* -1 (- (log -1) (log N))))) 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 (* (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3)) into (* (sqr (- (log -1) (log N))) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* 0 0) (* 0 (* -1 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (log -1) (log N))) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) 0) into (- (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) * [misc]backup-simplify: Simplify (- (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) into (- (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (log -1) (log N)) 1)))) 1) into (/ -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 (- (log -1) (log N)))) (* 0 (log (- (log -1) (log N))))) into (- (* 1/3 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (log -1) (log N))))) (+ (* (/ (pow (- (* 1/3 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3)) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log N)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log N)))) (* -1/3 (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log N))))) (pow (- (log -1) (log N)) 1/3))) into (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/3 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (+ (* 1/3 (* (pow (/ 1 (sqr (- (log -1) (log N)))) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) (* 1/3 (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))))) 1)) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 1)))) 1) into (* -1 (+ 1/3 (* 1/3 (/ 1 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (+ (* 3 (* -1 (+ 1/3 (* 1/3 (/ 1 (- (log -1) (log N))))))) (* 0 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (- (+ 1 (/ 1 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) (+ (* (/ (pow (- (+ 1 (/ 1 (- (log -1) (log N))))) 1) 1)))) into (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) * [misc]backup-simplify: Simplify (+ (* (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3))))) (* (* -1 (* (+ 1 (/ 1 (- (log -1) (log N)))) (* (- (log -1) (log N)) (pow (exp (* 1/3 (- (log -1) (log N)))) 3)))) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3))) into (- (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (log -1) (log N)))) (* 4 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (log -1) (log N)))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (log -1) (log N)))) (+ (* 2 (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6))) (* 2 (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))))))) * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* -1 (- (log -1) (log N))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (- (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (log -1) (log N)))) (* 4 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (log -1) (log N)))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (log -1) (log N)))) (+ (* 2 (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6))) (* 2 (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))))))) 0) into (- (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (log -1) (log N)))) (* 4 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (log -1) (log N)))) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (log -1) (log N)))) (+ (* 2 (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6))))))) * [misc]backup-simplify: Simplify (- (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (log -1) (log N)))) (* 4 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (log -1) (log N)))) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (log -1) (log N)))) (+ (* 2 (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6))))))) into (- (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (log -1) (log N)))) (* 4 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (log -1) (log N)))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (log -1) (log N)))) (+ (* 2 (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6))) (* 2 (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (log -1) (log N)))) (* 4 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (log -1) (log N)))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (log -1) (log N)))) (+ (* 2 (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6))) (* 2 (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))))))) (/ 1 (- N))) (+ (- (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (* (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (sqr (/ 1 (/ 1 (- N))))))) into (- (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (* N (- (log -1) (log N))))) (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) N)) (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) N)) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (- (log -1) (log N)) N))) (* 2 (* (sqr N) (* (log -1) (log N)))))))))) (+ (* (sqr (log -1)) (sqr N)) (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) N)) (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (* N (- (log -1) (log N))))) (+ (* (sqr (log N)) (sqr N)) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2 2) * [misc]approximate: Taking taylor expansion of (log (+ 1 N)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ 1 (/ 1 N))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ 1 (/ 1 (- N)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1 1 2 1) * [misc]approximate: Taking taylor expansion of (log (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow N 3)) (+ (* -1/2 (sqr N)) (* 1 N))) into (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 N))) (+ (* 1 (/ 1 N)) (- (log N)))) into (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (- (log -1) (log N)) into (- (log -1) (log N)) * [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 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (sqr (/ 1 (- N)))) (+ (* -1 (/ 1 (- N))) (- (log -1) (log N)))) into (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) (log (+ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (pow (pow N 1/3) 3) (pow (pow N 1/3) 3)) into (sqr N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr N) 0) into (sqr N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ (log N) 1) into (+ 1 (log N)) * [misc]backup-simplify: Simplify (/ (sqr N) (+ 1 (log N))) into (/ (sqr N) (+ 1 (log N))) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]taylor: Rewrote expression to (pow (+ N 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 0)) into 1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ N 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ N 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ N 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ N 1)) in N * [misc]taylor: Taking taylor expansion of (+ N 1) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 1/3 (log N)) into (* 1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log N))) into (pow N 1/3) * [misc]backup-simplify: Simplify (* 1 (pow N 1/3)) into (pow N 1/3) * [misc]backup-simplify: Simplify (log (pow N 1/3)) into (log (pow N 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow N 1/3))) into (* 3 (log (pow N 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow N 1/3)))) into (pow (pow N 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* N (log N))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* N (log N)) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log N) in N * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 N) (log (+ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (log (+ 1 N)) in N * [misc]taylor: Taking taylor expansion of (+ 1 N) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of N in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* (pow (pow N 1/3) 3) (pow (pow N 1/3) 3)) into (sqr N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr N) 0) into (sqr N) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* 0 (log N)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 0)) into 1 * [misc]backup-simplify: Simplify (+ (log N) 1) into (+ 1 (log N)) * [misc]backup-simplify: Simplify (/ (sqr N) (+ 1 (log N))) into (/ (sqr N) (+ 1 (log N))) * [misc]backup-simplify: Simplify (/ (sqr N) (+ 1 (log N))) into (/ (sqr N) (+ 1 (log N))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1/2) 1)) (pow 1 1)))) 1) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (* 0 (log N))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 1) 1)))) into (* -1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 1) 1)))) into 1/3 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/6 (pow N 1/3))) (* 1/3 (pow N 1/3))) into (* 1/6 (pow N 1/3)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 1)) (pow (pow N 1/3) 1)))) 1) into 1/6 * [misc]backup-simplify: Simplify (+ (* 3 1/6) (* 0 (log (pow N 1/3)))) into 1/2 * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 1) 1)))) into (* 1/2 N) * [misc]backup-simplify: Simplify (+ (* (pow (pow N 1/3) 3) (* 1/2 N)) (* (* 1/2 N) (pow (pow N 1/3) 3))) into (sqr N) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (log N))) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 (log N)) (* (log N) 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr N) 0) into (sqr N) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 0))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ (sqr N) (+ 1 (log N))) (+ (* (/ (sqr N) (+ 1 (log N))) (/ 1/2 (+ 1 (log N)))))) into (- (/ (sqr N) (+ 1 (log N))) (* 1/2 (/ (sqr N) (sqr (+ 1 (log N)))))) * [misc]backup-simplify: Simplify (- (/ (sqr N) (+ 1 (log N))) (* 1/2 (/ (sqr N) (sqr (+ 1 (log N)))))) into (- (/ (sqr N) (+ 1 (log N))) (* 1/2 (/ (sqr N) (sqr (+ 1 (log N)))))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1/2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 1/3) 1)) (pow 1 1)))) 2) into 5/24 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 1/3 5/24) (+ (* 0 -1/2) (* 0 (log N)))) into 5/72 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log N))) (+ (* (/ (pow (- 1/6) 2) 2)) (* (/ (pow 5/72 1) 1)))) into (* 1/12 (pow N 1/3)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/12 (pow N 1/3))) (+ (* 1/3 (* -1/6 (pow N 1/3))) (* -1/9 (pow N 1/3)))) into (- (* 1/12 (pow N 1/3))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/6 (pow N 1/3))) 2)) (pow (pow N 1/3) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/12 (pow N 1/3)))) 1)) (pow (pow N 1/3) 1)))) 2) into -7/72 * [misc]backup-simplify: Simplify (+ (* 3 -7/72) (+ (* 0 1/6) (* 0 (log (pow N 1/3))))) into (- 7/24) * [misc]backup-simplify: Simplify (* (exp (* 3 (log (pow N 1/3)))) (+ (* (/ (pow 1/2 2) 2)) (* (/ (pow (- 7/24) 1) 1)))) into (* -1/6 N) * [misc]backup-simplify: Simplify (+ (* (pow (pow N 1/3) 3) (* -1/6 N)) (+ (* (* 1/2 N) (* 1/2 N)) (* (* -1/6 N) (pow (pow N 1/3) 3)))) into (- (* 1/12 (sqr N))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (log N) (log N)) (* 0 0))) into (sqr (log N)) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (- (* 1/12 (sqr N))) (- (sqr (log N)))) into (- (+ (sqr (log N)) (* 1/12 (sqr N)))) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (log N))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 1/3) (+ (* 1 -1/2) (+ (* 0 1) (* 0 0)))) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (- (/ (- (+ (sqr (log N)) (* 1/12 (sqr N)))) (+ 1 (log N))) (+ (* (/ (sqr N) (+ 1 (log N))) (/ -1/6 (+ 1 (log N)))) (* (- (/ (sqr N) (+ 1 (log N))) (* 1/2 (/ (sqr N) (sqr (+ 1 (log N)))))) (/ 1/2 (+ 1 (log N)))))) into (- (* 1/4 (/ (sqr N) (pow (+ 1 (log N)) 3))) (+ (/ (sqr (log N)) (+ 1 (log N))) (+ (* 1/3 (/ (sqr N) (sqr (+ 1 (log N))))) (* 1/12 (/ (sqr N) (+ 1 (log N))))))) * [misc]backup-simplify: Simplify (- (* 1/4 (/ (sqr N) (pow (+ 1 (log N)) 3))) (+ (/ (sqr (log N)) (+ 1 (log N))) (+ (* 1/3 (/ (sqr N) (sqr (+ 1 (log N))))) (* 1/12 (/ (sqr N) (+ 1 (log N))))))) into (- (* 1/4 (/ (sqr N) (pow (+ 1 (log N)) 3))) (+ (/ (sqr (log N)) (+ 1 (log N))) (+ (* 1/3 (/ (sqr N) (sqr (+ 1 (log N))))) (* 1/12 (/ (sqr N) (+ 1 (log N))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/4 (/ (sqr N) (pow (+ 1 (log N)) 3))) (+ (/ (sqr (log N)) (+ 1 (log N))) (+ (* 1/3 (/ (sqr N) (sqr (+ 1 (log N))))) (* 1/12 (/ (sqr N) (+ 1 (log N))))))) N) (+ (- (/ (sqr N) (+ 1 (log N))) (* 1/2 (/ (sqr N) (sqr (+ 1 (log N)))))) (* (/ (sqr N) (+ 1 (log N))) (/ 1 N)))) into (- (+ (/ N (+ 1 (log N))) (+ (/ (sqr N) (+ 1 (log N))) (* 1/4 (/ (pow N 3) (pow (+ 1 (log N)) 3))))) (+ (/ (* N (sqr (log N))) (+ 1 (log N))) (+ (* 1/12 (/ (pow N 3) (+ 1 (log N)))) (+ (* 1/2 (/ (sqr N) (sqr (+ 1 (log N))))) (* 1/3 (/ (pow N 3) (sqr (+ 1 (log N))))))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) (+ (* (/ 1 N) (log (/ 1 N))) (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) (+ (* (/ 1 N) (log (/ 1 N))) (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 N) (log (/ 1 N))) (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (+ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* (* -1 (log N)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (sqr (log N)))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (* -1 (log N))) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (/ (- (sqr (log N))) (- (* 2 (log N)))) into (* 1/2 (log N)) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) (+ (* (/ 1 N) (log (/ 1 N))) (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 N) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log N))) into (* -1/3 (log N)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log N))) into (pow N -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 N) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 N) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 N) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 N) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 N) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (log (- (log N))) into (log (- (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log N)))) into (* 1/3 (log (- (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log N))))) into (pow (- (log N)) 1/3) * [misc]backup-simplify: Simplify (* (pow N -1/3) (pow (- (log N)) 1/3)) into (pow (/ (* (log N) -1) N) 1/3) * [misc]backup-simplify: Simplify (log (pow (/ (* (log N) -1) N) 1/3)) into (log (pow (* -1 (/ (log N) N)) 1/3)) * [misc]backup-simplify: Simplify (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) into (* 3 (log (pow (* -1 (/ (log N) N)) 1/3))) * [misc]backup-simplify: Simplify (exp (* 3 (log (pow (* -1 (/ (log N) N)) 1/3)))) into (pow (pow (* -1 (/ (log N) N)) 1/3) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 N) (log (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 N) (log (/ 1 N))) (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 N) (log (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 N)) (log (+ 1 (/ 1 N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (+ 1 (/ 1 N))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 N)) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (* (* -1 (log N)) (* -1 (log N))) into (sqr (log N)) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ 0 (- (sqr (log N)))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (* 1 (- (log N))) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* -1 (log N)) (* -1 (log N))) into (- (* 2 (log N))) * [misc]backup-simplify: Simplify (/ (- (sqr (log N))) (- (* 2 (log N)))) into (* 1/2 (log N)) * [misc]backup-simplify: Simplify (* 1/2 (log N)) into (* 1/2 (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (* 0 (* -1 (log N)))) 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 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (- (log N)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 (- (log N)))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (+ 0 (- 1 (log N))) into (- 1 (log N)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 2 (log N)))) (+ (* (* 1/2 (log N)) (/ (- 1 (log N)) (- (* 2 (log N))))))) into (- 1/4 (* 1/4 (log N))) * [misc]backup-simplify: Simplify (- 1/4 (* 1/4 (log N))) into (- 1/4 (* 1/4 (log N))) * [misc]backup-simplify: Simplify (* (pow (pow (* -1 (/ (log N) N)) 1/3) 3) (pow (pow (* -1 (/ (log N) N)) 1/3) 3)) into (/ (* (sqr -1) (sqr (log N))) (sqr N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (* 0 (* -1 (log N))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ (* (sqr -1) (sqr (log N))) (sqr N)) 0) into (/ (sqr (log N)) (sqr N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (- (log N))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ (* 1 -1/2) (+ (* 1 1) (* 0 (- (log N))))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ (/ (sqr (log N)) (sqr N)) (- (* 2 (log N)))) (+ (* (* 1/2 (log N)) (/ 1/2 (- (* 2 (log N))))) (* (- 1/4 (* 1/4 (log N))) (/ (- 1 (log N)) (- (* 2 (log N))))))) into (- (+ (* 1/8 (/ 1 (log N))) (* 1/8 (log N))) (+ (* 1/2 (/ (log N) (sqr N))) 1/8)) * [misc]backup-simplify: Simplify (- (+ (* 1/8 (/ 1 (log N))) (* 1/8 (log N))) (+ (* 1/2 (/ (log N) (sqr N))) 1/8)) into (- (+ (* 1/8 (/ 1 (log N))) (* 1/8 (log N))) (+ (* 1/2 (/ (log N) (sqr N))) 1/8)) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/8 (/ 1 (log N))) (* 1/8 (log N))) (+ (* 1/2 (/ (log N) (sqr N))) 1/8)) (/ 1 N)) (+ (- 1/4 (* 1/4 (log N))) (* (* 1/2 (log N)) (/ 1 (/ 1 N))))) into (- (+ (* 1/8 (/ 1 (* N (log N)))) (+ (* 1/8 (/ (log N) N)) (+ 1/4 (* 1/2 (* N (log N)))))) (+ (* 1/4 (log N)) (+ (* 1/2 (/ (log N) (pow N 3))) (* 1/8 (/ 1 N))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ 1 (/ 1 (- N))) (log (+ 1 (/ 1 (- N))))))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ 1 (/ 1 (- N))) (log (+ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ 1 (/ 1 (- N))) (log (+ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (log (+ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (+ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* (* -1 (- (log -1) (log N))) (* -1 (- (log -1) (log N)))) into (sqr (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (sqr (- (log -1) (log N)))) into (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N))))) into (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ 1 (/ 1 (- N))) (log (+ 1 (/ 1 (- N))))))) in N * [misc]taylor: Taking taylor expansion of (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Rewrote expression to (pow (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) 3) * [misc]taylor: Taking taylor expansion of (exp (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))))) in N * [misc]taylor: Taking taylor expansion of (* 3 (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) in N * [misc]taylor: Taking taylor expansion of 3 in N * [misc]backup-simplify: Simplify 3 into 3 * [misc]taylor: Taking taylor expansion of (log (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Rewrote expression to (pow (+ (/ 1 (- N)) 1) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log N))) into (* 1/3 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log N)))) into (exp (* 1/3 (- (log -1) (log N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Rewrote expression to (pow (log (+ (/ 1 (- N)) 1)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (log (+ (/ 1 (- N)) 1))))) in N * [misc]taylor: Taking taylor expansion of (* 1/3 (log (log (+ (/ 1 (- N)) 1)))) in N * [misc]taylor: Taking taylor expansion of 1/3 in N * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (log (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (- N)) 1)) in N * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- N)) 1) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (log (- (log -1) (log N))) into (log (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (log -1) (log N)))) into (* 1/3 (log (- (log -1) (log N)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (log -1) (log N))))) into (pow (- (log -1) (log N)) 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log N)))) (pow (- (log -1) (log N)) 1/3)) into (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) * [misc]backup-simplify: Simplify (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) into (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))) * [misc]backup-simplify: Simplify (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) into (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))))) * [misc]backup-simplify: Simplify (exp (* 3 (log (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N)))))))) into (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) * [misc]taylor: Taking taylor expansion of (sqr (* (/ 1 (- N)) (log (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (+ (* (/ 1 (- N)) (log (/ 1 (- N)))) (* (+ 1 (/ 1 (- N))) (log (+ 1 (/ 1 (- N)))))) in N * [misc]taylor: Taking taylor expansion of (* (/ 1 (- N)) (log (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- N))) (log (+ 1 (/ 1 (- N))))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (log (+ 1 (/ 1 (- N)))) in N * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- N))) in N * [misc]taylor: Taking taylor expansion of 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- N)) in N * [misc]taylor: Taking taylor expansion of (- N) in N * [misc]taylor: Taking taylor expansion of N in N * [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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (* (* -1 (- (log -1) (log N))) (* -1 (- (log -1) (log N)))) into (sqr (- (log -1) (log N))) * [misc]backup-simplify: Simplify (- (sqr (- (log -1) (log N)))) into (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N))))) into (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* -1 (- (log -1) (log N))) into (* -1 (- (log -1) (log N))) * [misc]backup-simplify: Simplify (+ (* -1 (- (log -1) (log N))) (* -1 (- (log -1) (log N)))) into (- (* 2 (log N)) (* 2 (log -1))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (* 0 (* -1 (- (log -1) (log N))))) 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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (- (log -1) (log N)))) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 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 (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 (- (log -1) (log N)))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (+ 1 (log -1)) (log N))) into (- (+ 1 (log -1)) (log N)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 2 (log N)) (* 2 (log -1)))) (+ (* (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ (- (+ 1 (log -1)) (log N)) (- (* 2 (log N)) (* 2 (log -1))))))) into (- (+ (* 3 (/ (* (log -1) (sqr (log N))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) (+ (* 3 (/ (* (sqr (log -1)) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 2 (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) * [misc]backup-simplify: Simplify (- (+ (* 3 (/ (* (log -1) (sqr (log N))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) (+ (* 3 (/ (* (sqr (log -1)) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 2 (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) into (- (+ (* 3 (/ (* (log -1) (sqr (log N))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) (+ (* 3 (/ (* (sqr (log -1)) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 2 (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) * [misc]backup-simplify: Simplify (* (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3) (pow (* (pow (- (log -1) (log N)) 1/3) (exp (* 1/3 (- (log -1) (log N))))) 3)) into (* (sqr (- (log -1) (log N))) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* 0 0) (* 0 (* -1 (- (log -1) (log N)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* (sqr (- (log -1) (log N))) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) 0) into (- (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) * [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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) 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 (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (- (log -1) (log N))))) 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 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [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 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (+ (* -1 -1/2) (+ (* 1 -1) (* 0 (- (log -1) (log N))))) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ (- (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N)))) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ -1/2 (- (* 2 (log N)) (* 2 (log -1))))) (* (- (+ (* 3 (/ (* (log -1) (sqr (log N))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) (+ (* 3 (/ (* (sqr (log -1)) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 2 (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (/ (- (+ 1 (log -1)) (log N)) (- (* 2 (log N)) (* 2 (log -1))))))) into (- (+ (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (* (log -1) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log -1)) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (pow (log -1) 3) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 4 (/ (* (log -1) (pow (log N) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))))))))) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (log -1) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (sqr (log -1)) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))))))))))) * [misc]backup-simplify: Simplify (- (+ (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (* (log -1) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log -1)) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (pow (log -1) 3) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 4 (/ (* (log -1) (pow (log N) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))))))))) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (log -1) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (sqr (log -1)) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))))))))))) into (- (+ (* 4 (/ (* (log -1) (pow (log N) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (* (log -1) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log -1)) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (pow (log -1) 3) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))))))) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (log -1) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (sqr (log -1)) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 4 (/ (* (log -1) (pow (log N) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (* (log -1) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log -1)) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (pow (log -1) 3) (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))))))) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (log -1) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 6 (/ (* (sqr (log -1)) (sqr (log N))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))))))) (/ 1 (- N))) (+ (- (+ (* 3 (/ (* (log -1) (sqr (log N))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) (+ (* 3 (/ (* (sqr (log -1)) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 2 (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (* (/ (- (* 2 (* (log -1) (log N))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ 1 (/ 1 (- N)))))) into (- (+ (* 6 (/ (* (sqr (log -1)) (sqr (log N))) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (pow (log N) 4) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (log -1) (sqr (log N))) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (/ (pow (log -1) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 2 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (* N (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 1/2 (/ (sqr (log N)) (* N (sqr (- (* 2 (log N)) (* 2 (log -1))))))) (+ (/ (* N (sqr (log N))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 3 (/ (* (log -1) (sqr (log N))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (/ (* (sqr (log -1)) N) (- (* 2 (log N)) (* 2 (log -1))))))))))))))))))) (+ (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (- (* 2 (log N)) (* 2 (log -1))) N)) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (* (log -1) (log N)) (* N (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (* (log -1) (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 2 (/ (* (log N) (* (log -1) N)) (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 2 (/ (pow (log N) 3) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (* N (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 4 (/ (* (pow (log -1) 3) (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 6 (/ (* (sqr (log -1)) (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 4 (/ (* (log -1) (pow (log N) 3)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 3 (/ (* (sqr (log -1)) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (* 2 (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))))))))))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 1 1 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (pow N 3) (sqr N)) (+ (* 1/12 (pow N 4)) (* (sqr (log N)) (sqr N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (- (/ (- (- (* (* N N) (+ 1 N)) (* 1/12 (pow N 4))) (sqr (* (log N) N))) (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) 1) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 2 (/ (sqr (log N)) (pow N 3))) (/ (sqr (log N)) (sqr N))) (+ (* (sqr (log N)) (sqr N)) (* 2 (/ (log N) (pow N 3))))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) 1) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (- (/ (- (* (sqr (/ (log N) N)) (+ (/ 2 N) 1)) (+ (sqr (* (log N) N)) (+ (/ (log N) (cube N)) (/ (log N) (cube N))))) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) 1) * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (* N (- (log -1) (log N))))) (+ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (+ (* 2 (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) N)) (+ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) N)) (+ (* 2 (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (- (log -1) (log N)) N))) (* 2 (* (sqr N) (* (log -1) (log N)))))))))) (+ (* (sqr (log -1)) (sqr N)) (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) N)) (+ (* 4 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (* N (- (log -1) (log N))))) (+ (* (sqr (log N)) (sqr N)) (* 2 (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))))))))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) 1) * * [misc]simplify: iters left: 6 (58 enodes) * * [misc]simplify: iters left: 5 (144 enodes) * * [misc]simplify: iters left: 4 (330 enodes) * [exit]simplify: Simplified to (- (/ (- (+ (+ (+ (/ (+ (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (pow (pow (exp 1/3) (- (log -1) (log N))) 6)) (* (- (log -1) (log N)) (/ N (* (log N) (log N))))) (* (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (sqr (log -1)))) (+ (/ (+ (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (pow (pow (exp 1/3) (- (log -1) (log N))) 6)) (/ N (* (log N) (log N)))) (* (* (log N) (log N)) (pow (pow (exp 1/3) (- (log -1) (log N))) 6)))) (+ (* (* N (+ N N)) (* (log -1) (log N))) (* (* (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (/ (log -1) (/ N (log -1)))) (+ 2 (/ 2 (- (log -1) (log N))))))) (+ (+ (* (log N) (+ (* (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (+ (log -1) (log -1))) (* (* N N) (log N)))) (* (/ (* (* (log -1) (log N)) (pow (pow (exp 1/3) (- (log -1) (log N))) 6)) N) (+ 4 (/ 4 (- (log -1) (log N)))))) (* (sqr (log -1)) (* N N)))) (+ (* (log (+ N 1)) (+ N 1)) (* (log N) N))) 1) * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (- (/ (- (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* (log N) N) (* (log N) N))) (+ (+ (* (log N) N) (* (+ 1 N) (* (* 1/3 N) (* N N)))) (* (- N (* 1/2 (* N N))) (+ 1 N)))) 1) * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (- (/ (* (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) (+ (* (- (- (/ 1 N) (log N)) (/ 1/2 (* N N))) (+ 1 N)) (* (log N) N))) 1) * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N)))))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (- (/ (- (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* (log N) N) (* (log N) N))) (+ (* (+ 1 N) (- (- (/ 1 N) (log N)) (/ 1/2 (* N N)))) (+ (* (log N) N) (* (log -1) (+ 1 N))))) 1) * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N))))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) 1) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (- (* (/ (* (+ 1 N) (+ N (* (* N N) (- (* N 1/3) 1/2)))) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) (* (+ 1 N) (+ N (* (* N N) (- (* N 1/3) 1/2))))) (+ (/ (sqr (* (log N) N)) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) 1)) * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (- (/ 1 N) (+ (log N) (* 1/2 (/ 1 (sqr N))))))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) 1) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (474 enodes) * [exit]simplify: Simplified to (- (* (* (+ N 1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (/ (* (+ N 1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N))) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)))) (+ (/ (sqr (* (log N) N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 1)) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (- (+ (log -1) (/ 1 N)) (+ (log N) (* 1/2 (/ 1 (sqr N))))))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) 1) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (190 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (- (* (* (+ 1 N) (+ (log -1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)))) (/ (* (+ 1 N) (+ (log -1) (- (- (/ 1 N) (log N)) (/ (/ 1/2 N) N)))) (+ (* N (log N)) (* (log (+ 1 N)) (+ 1 N))))) (+ (/ (* (* N (log N)) (* N (log N))) (+ (* N (log N)) (* (log (+ 1 N)) (+ 1 N)))) 1)) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ N (+ 1 (log N))) (+ (/ (sqr N) (+ 1 (log N))) (* 1/4 (/ (pow N 3) (pow (+ 1 (log N)) 3))))) (+ (/ (* N (sqr (log N))) (+ 1 (log N))) (+ (* 1/12 (/ (pow N 3) (+ 1 (log N)))) (+ (* 1/2 (/ (sqr N) (sqr (+ 1 (log N))))) (* 1/3 (/ (pow N 3) (sqr (+ 1 (log N))))))))) 1) * * [misc]simplify: iters left: 6 (33 enodes) * * [misc]simplify: iters left: 5 (66 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (- (- (+ (/ (* (* N N) (* 1/4 N)) (cube (+ (log N) 1))) (+ (/ N (+ (log N) 1)) (/ (* N N) (+ (log N) 1)))) (/ (* (log N) (log N)) (/ (+ (log N) 1) N))) (+ (+ 1 (/ (* 1/12 (cube N)) (+ (log N) 1))) (+ (* (/ 1/3 (+ (log N) 1)) (/ (cube N) (+ (log N) 1))) (/ (/ (* (* N 1/2) N) (+ (log N) 1)) (+ (log N) 1))))) * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/8 (/ 1 (* N (log N)))) (+ (* 1/8 (/ (log N) N)) (+ 1/4 (* 1/2 (* N (log N)))))) (+ (* 1/4 (log N)) (+ (* 1/2 (/ (log N) (pow N 3))) (* 1/8 (/ 1 N))))) 1) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (- (+ (+ 1/4 (/ (log N) (/ N 1/8))) (+ (* (log N) (* N 1/2)) (/ (/ 1/8 N) (log N)))) (+ (+ (+ (/ 1/8 N) 1) (* 1/4 (log N))) (/ (/ (log N) (/ N 1/2)) (* N N)))) * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 6 (/ (* (sqr (log -1)) (sqr (log N))) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (pow (log N) 4) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (log -1) (sqr (log N))) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (/ (pow (log -1) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 2 (/ (* (log -1) (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (log N))) (* N (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 1/2 (/ (sqr (log N)) (* N (sqr (- (* 2 (log N)) (* 2 (log -1))))))) (+ (/ (* N (sqr (log N))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 3 (/ (* (log -1) (sqr (log N))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (/ (* (sqr (log -1)) N) (- (* 2 (log N)) (* 2 (log -1))))))))))))))))))) (+ (/ (* (sqr (log -1)) (pow (exp (* 1/3 (- (log -1) (log N)))) 6)) (* (- (* 2 (log N)) (* 2 (log -1))) N)) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (* (log -1) (log N)) (* N (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (* (log -1) (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 2 (/ (* (log N) (* (log -1) N)) (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 2 (/ (pow (log N) 3) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (/ (* (pow (exp (* 1/3 (- (log -1) (log N)))) 6) (sqr (log N))) (* N (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 4 (/ (* (pow (log -1) 3) (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 6 (/ (* (sqr (log -1)) (log N)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 4 (/ (* (log -1) (pow (log N) 3)) (* N (pow (- (* 2 (log N)) (* 2 (log -1))) 3)))) (+ (* 3 (/ (* (sqr (log -1)) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (* 2 (/ (* (log -1) (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))))))))))))) 1) * * [misc]simplify: iters left: 6 (117 enodes) * * [misc]simplify: iters left: 5 (321 enodes) * [exit]simplify: Simplified to (+ (/ (/ (* (* 6 (* (log -1) (log -1))) (* (log N) (log N))) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))) (- (+ (+ (/ (* (log -1) (log -1)) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))) (+ (/ (/ (pow (log N) 4) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))) (/ (/ (* 1/2 (* (log -1) (log -1))) N) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))))) (+ (+ (+ (* (/ (/ (* (log -1) (* (log N) (log N))) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))) 6) (+ (/ (/ (pow (log -1) 4) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))) N) (/ (/ (+ (cube (log -1)) (cube (log -1))) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))))) (+ (+ (* (/ (log -1) N) (/ (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (/ (+ (- (log N) (log -1)) (- (log N) (log -1))) (log N)))) (+ (* (/ (log -1) N) (/ (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (/ (+ (- (log N) (log -1)) (- (log N) (log -1))) (log N)))) (/ (cube (log -1)) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))))) (+ (/ (/ (* (* 1/2 (log N)) (log N)) N) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))) (+ (+ (/ (* (* (log -1) (* (log N) (log N))) 3) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))) (/ (* N (* (log N) (log N))) (+ (- (log N) (log -1)) (- (log N) (log -1))))) (+ (/ (* (* (log -1) N) (log -1)) (+ (- (log N) (log -1)) (- (log N) (log -1)))) (* (/ (log -1) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))) (/ (log -1) N))))))) (+ (/ (/ (* (log N) (log N)) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))) (/ (* (log N) (log N)) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1)))))))) (+ (* (/ (* (log -1) (log -1)) (* (* N 2) (- (log N) (log -1)))) (pow (pow (exp 1/3) (- (log -1) (log N))) 6)) (+ (+ (+ (/ (cube (log N)) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))) (+ (/ (/ (log -1) (/ N (log N))) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))) (/ (/ (* (+ (log -1) (log -1)) (log N)) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))))) (+ (+ (/ (* (+ (log N) (log N)) (* (log -1) N)) (+ (- (log N) (log -1)) (- (log N) (log -1)))) (/ (/ (+ (cube (log N)) (cube (log N))) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1)))))) (+ (+ (/ (pow (pow (exp 1/3) (- (log -1) (log N))) 6) (/ (* (* N 2) (- (log N) (log -1))) (* (log N) (log N)))) (+ (/ (/ (* (* 4 (log N)) (cube (log -1))) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))) (/ (/ (* (* 6 (log N)) (* (log -1) (log -1))) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1))))))) (+ (+ (/ (* 3 (* (* (log -1) (log -1)) (log N))) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))) (/ (/ (* (* 4 (log -1)) (cube (log N))) N) (cube (+ (- (log N) (log -1)) (- (log N) (log -1)))))) (/ (* (+ (log -1) (log -1)) (log N)) (* (+ (- (log N) (log -1)) (- (log N) (log -1))) (+ (- (log N) (log -1)) (- (log N) (log -1))))))))) 1)))) * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) (exp (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (/ (pow (pow (+ 1 N) (+ 1 N)) (* (+ 1 N) (log (+ 1 N)))) (pow N (* (log N) (* N N)))) * [exit]simplify: Simplified to (/ (pow (pow (+ 1 N) (+ 1 N)) (* (+ 1 N) (log (+ 1 N)))) (pow N (* (log N) (* N N)))) * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (log (* (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) * [exit]simplify: Simplified to (log (* (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (pow (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) * [exit]simplify: Simplified to (pow (/ (pow (+ 1 N) (+ 1 N)) (pow N N)) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (cbrt (* (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) * [exit]simplify: Simplified to (cbrt (* (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (298 enodes) * [exit]simplify: Simplified to (cube (- (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* (log N) N) (* (log N) N)))) * [exit]simplify: Simplified to (cube (- (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* (log N) N) (* (log N) N)))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (294 enodes) * [exit]simplify: Simplified to (sqrt (* (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) * [exit]simplify: Simplified to (sqrt (* (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N)))) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) 3) (pow (sqr (* N (log N))) 3)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* N (log N)))) (+ (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* N (log N))))) * [exit]simplify: Simplified to (* (- (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* N (log N)))) (+ (cube (* (+ 1 N) (log (+ 1 N)))) (cube (* N (log N))))) * [enter]simplify: Simplifying (+ (sqr (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) (+ (sqr (sqr (* N (log N)))) (* (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (+ (sqr (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N))))) (* (* (* N (log N)) (* N (log N))) (+ (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* N (log N)) (* N (log N)))))) * [exit]simplify: Simplified to (+ (sqr (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N))))) (* (* (* N (log N)) (* N (log N))) (+ (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N)))) (* (* N (log N)) (* N (log N)))))) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (* N (log N)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (* (log N) (- N)) (* (log N) N)) * [exit]simplify: Simplified to (* (* (log N) (- N)) (* (log N) N)) * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) (sqr (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (- (sqr (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N))))) (* (* (* N (log N)) (* N (log N))) (* (* N (log N)) (* N (log N))))) * [exit]simplify: Simplified to (- (sqr (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N))))) (* (* (* N (log N)) (* N (log N))) (* (* N (log N)) (* N (log N))))) * [enter]simplify: Simplifying (+ (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (log N) N) (* (log N) N)) (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N)))) * [exit]simplify: Simplified to (+ (* (* (log N) N) (* (log N) N)) (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N)))) * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) * [exit]simplify: Simplified to (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) * [enter]simplify: Simplifying (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (* N (log N))) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (* N (log N))) * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N))) * [exit]simplify: Simplified to (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N))) * * * * [misc]progress: [ 26 / 73 ] 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 (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow 1 3) (pow N 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ (cube N) 1)) * [exit]simplify: Simplified to (log (+ (cube N) 1)) * [enter]simplify: Simplifying (log (+ (sqr 1) (- (sqr N) (* 1 N)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (log (- (* N N) (- N 1))) * [exit]simplify: Simplified to (log (- (* N N) (- N 1))) * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr 1) (sqr N))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- 1 (* N N))) * [exit]simplify: Simplified to (log (- 1 (* N N))) * [enter]simplify: Simplifying (log (- 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- 1 N)) * [exit]simplify: Simplified to (log (- 1 N)) * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ 1 N)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 30 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ N 1))) * [exit]simplify: Simplified to (log (log (+ N 1))) * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ N 1))) * [exit]simplify: Simplified to (cube (log (+ N 1))) * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * [exit]simplify: Simplified to (sqrt (log (+ N 1))) * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 73 ] 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log (+ 1 (cube N))) * [exit]simplify: Simplified to (log (+ 1 (cube N))) * [enter]simplify: Simplifying (log (+ (sqr N) (- (sqr 1) (* N 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * [exit]simplify: Simplified to (log (+ (* N N) (- 1 N))) * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [exit]simplify: Simplified to (log (- (* N N) 1)) * [enter]simplify: Simplifying (log (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (log (- N 1)) * [exit]simplify: Simplified to (log (- N 1)) * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (+ 1 N) * [exit]simplify: Simplified to (+ 1 N) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (log (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (+ (log (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 0) * [exit]simplify: Simplified to (+ (log (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 0) * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (log (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * [exit]simplify: Simplified to (log (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (223 enodes) * * [misc]simplify: iters left: 1 (434 enodes) * [exit]simplify: Simplified to (exp (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (exp (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (cube (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (/ (cube (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (cube (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) * [exit]simplify: Simplified to (/ (cube (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (cube (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (cbrt (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (394 enodes) * [exit]simplify: Simplified to (cube (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (cube (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (cbrt (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (cbrt (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) * [exit]simplify: Simplified to (/ (cbrt (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (cbrt (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (sqrt (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (sqrt (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (sqrt (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (sqrt (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (459 enodes) * [exit]simplify: Simplified to (* (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) (+ (* (- N) (log N)) (* (log (+ 1 N)) (- (+ 1 N))))) * [exit]simplify: Simplified to (* (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) (+ (* (- N) (log N)) (* (log (+ 1 N)) (- (+ 1 N))))) * [enter]simplify: Simplifying (- (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ (* (log N) (- N)) (* (- (+ N 1)) (log (+ N 1)))) * [exit]simplify: Simplified to (+ (* (log N) (- N)) (* (- (+ N 1)) (log (+ N 1)))) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) * [exit]simplify: Simplified to (/ (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) * [enter]simplify: Simplifying (/ (sqr (* N (log N))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (* (* (log N) N) (* (log N) N)) (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (/ (* (* (log N) N) (* (log N) N)) (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 60 / 73 ] 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 (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) 1) * [exit]simplify: Simplified to (/ (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) 1) * [enter]simplify: Simplifying (/ (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (- (* (log (+ 1 N)) (+ 1 N)) (* N (log N))) (+ (* (log (+ 1 N)) (+ 1 N)) (* N (log N)))) * [exit]simplify: Simplified to (/ (- (* (log (+ 1 N)) (+ 1 N)) (* N (log N))) (+ (* (log (+ 1 N)) (+ 1 N)) (* N (log N)))) * * * * [misc]progress: [ 62 / 73 ] 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 (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) * * [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 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (/ 1 (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (/ 1 (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (- (/ (* (+ 1 N) (log (+ 1 N))) (/ (/ 1 (+ 1 N)) (log (+ 1 N)))) (/ (* (* N N) (log N)) (/ 1 (log N)))) * [exit]simplify: Simplified to (- (/ (* (+ 1 N) (log (+ 1 N))) (/ (/ 1 (+ 1 N)) (log (+ 1 N)))) (/ (* (* N N) (log N)) (/ 1 (log N)))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (/ 1 (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * * * * [misc]progress: [ 68 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (- (* (log (+ N 1)) (+ N 1)) (* (log N) N))) * [exit]simplify: Simplified to (/ (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (- (* (log (+ N 1)) (+ N 1)) (* (log N) N))) * * * * [misc]progress: [ 69 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (/ 1 (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * * * * [misc]progress: [ 70 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (pow (* N (log N)) 3) (pow (* (+ 1 N) (log (+ 1 N))) 3))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (209 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (/ (* (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) (+ (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* (log N) N)))) * [exit]simplify: Simplified to (/ (* (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) (+ (cube (* (log (+ 1 N)) (+ 1 N))) (cube (* (log N) N)))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (- (sqr (* N (log N))) (sqr (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) (- (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) * [exit]simplify: Simplified to (/ (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) (- (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (+ (sqr (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) (+ (sqr (sqr (* N (log N)))) (* (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (318 enodes) * [exit]simplify: Simplified to (+ (* (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (sqr (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))))) (* (+ (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (* (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))))) * [exit]simplify: Simplified to (+ (* (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (sqr (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))))) (* (+ (* (* (log (+ N 1)) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))) (* (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (* (* (log N) N) (* (log N) N))))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))) (+ (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (* (+ (* (log N) N) (* (+ N 1) (log (+ N 1)))) (+ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (* (* (log N) N) (* (log N) N)))) * [exit]simplify: Simplified to (* (+ (* (log N) N) (* (+ N 1) (log (+ N 1)))) (+ (* (* (+ N 1) (log (+ N 1))) (* (+ N 1) (log (+ N 1)))) (* (* (log N) N) (* (log N) N)))) * * * [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 N +inf.0)) , with alts (#) * [enter]simplify: Simplifying (cube (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * [exit]simplify: Simplified to (cube (log (+ 1 N))) * [enter]simplify: Simplifying (+ (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N))))) * [exit]simplify: Simplified to (+ (sqrt (* (log N) N)) (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N))))) * [enter]simplify: Simplifying (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N)))) (sqrt (* (log N) N))) * [exit]simplify: Simplified to (- (* (sqrt (+ 1 N)) (sqrt (log (+ 1 N)))) (sqrt (* (log N) N))) * [enter]simplify: Simplifying (sqrt (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 N)) (+ 1 N))) * [exit]simplify: Simplified to (sqrt (* (log (+ 1 N)) (+ 1 N))) * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [enter]simplify: Simplifying (cbrt (cbrt (log (+ N 1)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (log (+ 1 N)))) * [exit]simplify: Simplified to (cbrt (cbrt (log (+ 1 N)))) * [enter]simplify: Simplifying (- (sqr (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))))) (sqr (sqr (* N (log N))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * [exit]simplify: Simplified to (- (sqr (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N))))) (* (* (* N (log N)) (* N (log N))) (* (* N (log N)) (* N (log N))))) * [exit]simplify: Simplified to (- (sqr (* (* (+ 1 N) (log (+ 1 N))) (* (+ 1 N) (log (+ 1 N))))) (* (* (* N (log N)) (* N (log N))) (* (* N (log N)) (* N (log N))))) * [enter]simplify: Simplifying (+ (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (+ (* (* (log N) N) (* (log N) N)) (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N)))) * [exit]simplify: Simplified to (+ (* (* (log N) N) (* (log N) N)) (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N)))) * [enter]simplify: Simplifying (- (- (* (+ N 1) (- (+ (* 1/3 (pow N 3)) N) (* 1/2 (sqr N)))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (- (+ (+ (* N N) N) (* (* (* N N) (+ 1 N)) (- (* 1/3 N) 1/2))) (+ 1 (* (log N) N))) * [enter]simplify: Simplifying (+ (* N N) (- 1 N)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (+ (- 1 N) (* N N)) * [exit]simplify: Simplified to (+ (- 1 N) (* N N)) * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [enter]simplify: Simplifying (cbrt (log (+ 1 N))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * [enter]simplify: Simplifying (cbrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [exit]simplify: Simplified to (cbrt (log (+ 1 N))) * [enter]simplify: Simplifying (cube (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cube (* (log N) N)) * [exit]simplify: Simplified to (cube (* (log N) N)) * [enter]simplify: Simplifying (log (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [exit]simplify: Simplified to (log (log (+ 1 N))) * [enter]simplify: Simplifying (sqrt (log (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [exit]simplify: Simplified to (sqrt (log (+ 1 N))) * [enter]simplify: Simplifying (cbrt (* (+ N 1) (log (+ N 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 N)) (+ 1 N))) * [exit]simplify: Simplified to (cbrt (* (log (+ 1 N)) (+ 1 N))) * [enter]simplify: Simplifying (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (+ (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * [enter]simplify: Simplifying (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* N (log N)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (- (sqrt (* (+ 1 N) (log (+ 1 N)))) (sqrt (* N (log N)))) * [enter]simplify: Simplifying (cube (* (log (+ 1 N)) (+ 1 N))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (cube (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (cube (* (log (+ N 1)) (+ N 1))) * [enter]simplify: Simplifying (cube (* (log N) N)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (cube (* (log N) N)) * [exit]simplify: Simplified to (cube (* (log N) N)) * [enter]simplify: Simplifying (sqrt (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (* (log N) N)) * [exit]simplify: Simplified to (sqrt (* (log N) N)) * [enter]simplify: Simplifying (cbrt (* N (log N))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * [exit]simplify: Simplified to (cbrt (* (log N) N)) * [enter]simplify: Simplifying (/ (sqrt (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (sqrt (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N)))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (sqrt (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) * [exit]simplify: Simplified to (/ (sqrt (- (* (* (log (+ 1 N)) (+ 1 N)) (* (log (+ 1 N)) (+ 1 N))) (* (* (log N) N) (* (log N) N)))) (sqrt (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))))