* [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 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log 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 (- (+ (* 1/2 (/ 1 N)) 1) (+ (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 (- (+ (log -1) 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 (+ (- (+ (log -1) 1) (log N)) 0) into (- (+ (log -1) 1) (log N)) * [misc]backup-simplify: Simplify (- (+ (log -1) 1) (log N)) into (- (+ (log -1) 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))) (- (+ (log -1) 1) (log N)))) into (- (+ (log -1) (+ 1 (* 1/2 (/ 1 N)))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * * * * [misc]progress: [ 2 / 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 (- (+ (* 1/2 (/ 1 N)) 1) (+ (log N) (* (log N) 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 (- (+ (log -1) 1) (log N)) * [misc]backup-simplify: Simplify (- (+ (log -1) 1) (log N)) into (- (+ (log -1) 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))) (+ (- (+ (log -1) 1) (log N)) (* (* -1 (- (log -1) (log N))) (/ 1 (/ 1 (- N)))))) into (- (+ (log -1) (+ (* 1/2 (/ 1 N)) (+ 1 (* (log -1) N)))) (+ (log N) (* (log N) 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 (* (log N) 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 (* (log N) 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) * [misc]approximate: Taking taylor expansion of (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1) in N * [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 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1) in N * [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 1 in N * [misc]backup-simplify: Simplify 1 into 1 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [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 (- 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 (+ 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 (- 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 (+ (* 1/2 (sqr N)) (+ (* (- 1 (log N)) N) -1)) into (- (+ N (* 1/2 (sqr N))) (+ (* (log N) N) 1)) * [misc]approximate: Taking taylor expansion of (- (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) 1) in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (* (/ 1 N) (log (/ 1 N)))) 1) in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [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 0) 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) into -1 * [misc]backup-simplify: Simplify (+ (- 1 (log N)) -1) into (- (log N)) * [misc]backup-simplify: Simplify (- (log N)) 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 (/ 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 (- 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 (- 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)) (- (log N)))) into (- (* 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))))) 1) in (N) around 0 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) 1) in N * [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 in N * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (- (* (+ (/ 1 (- N)) 1) (log (+ (/ 1 (- N)) 1))) (* (/ 1 (- N)) (log (/ 1 (- N))))) 1) in N * [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 in N * [misc]backup-simplify: Simplify 1 into 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (- (+ (log -1) 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 (+ (- (+ (log -1) 1) (log N)) 0) into (- (+ (log -1) 1) (log N)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (- (+ (log -1) 1) (log N)) -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 (- 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 (- 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 (- 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))) (- (log -1) (log N)))) into (- (+ (log -1) (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 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) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 71 ] 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 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (- (- N (* N (log N))) (+ 1 (* (sqr N) (- (* 1/6 N) 1/2)))) * * * * [misc]progress: [ 2 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (/ 1 N)) 1) (+ (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 (115 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (- (- 1 (log N)) (+ (/ 1/6 (sqr N)) (- 1 (/ 1/2 N)))) * * * * [misc]progress: [ 3 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (log -1) (+ 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 (- (+ (+ (/ 1/2 N) (log -1)) 1) (+ (+ (log N) 1) (/ (/ 1/6 N) N))) * * * * [misc]progress: [ 4 / 71 ] 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 (- (- (- N (* (log N) N)) (* (sqr N) (- (* N 1/6) 1/2))) 1) * * * * [misc]progress: [ 5 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (* 1/2 (/ 1 N)) 1) (+ (log N) (* (log N) N))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (- (- (- 1 (log N)) (* (+ N N) (log N))) (- 1 (/ 1/2 N))) * * * * [misc]progress: [ 6 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (- (+ (log -1) (+ (* 1/2 (/ 1 N)) (+ 1 (* (log -1) N)))) (+ (log N) (* (log N) N))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (245 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (- (- (+ (* N (log -1)) (+ 1 (/ 1/2 N))) (* (log N) (+ 1 (+ N N)))) (- 1 (log -1))) * * * * [misc]progress: [ 7 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* (log N) 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 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 8 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (+ N 1) (log (+ N 1))) (* -1 (* (log N) 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 (60 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* (log N) (- N)) 1)) * * * * [misc]progress: [ 9 / 71 ] 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 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* (- (log -1) (log N)) N) 1)) * * * * [misc]progress: [ 10 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ N (* 1/2 (sqr N))) (+ (* (log N) N) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (+ (* (- (* 1/2 N) (log N)) N) (- N 1)) * * * * [misc]progress: [ 11 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ 1 N)) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (- (/ 1/2 N) (log N)) (/ 1/6 (sqr N))) * * * * [misc]progress: [ 12 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -1) (* 1/2 (/ 1 N))) (+ (log N) (* 1/6 (/ 1 (sqr N))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (- (/ (- 1/2 (/ 1/6 N)) N) (- (log N) (log -1))) * * * * [misc]progress: [ 13 / 71 ] 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 (82 enodes) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (pow N N)) * * * * [misc]progress: [ 14 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 71 ] 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 (46 enodes) * [exit]simplify: Simplified to (log (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (log (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * * * * [misc]progress: [ 16 / 71 ] 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 (71 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (pow N N)) * * * * [misc]progress: [ 17 / 71 ] 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 (46 enodes) * [exit]simplify: Simplified to (cbrt (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (cbrt (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * * * * [misc]progress: [ 18 / 71 ] 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 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cube (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (cube (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * * * * [misc]progress: [ 19 / 71 ] 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 (46 enodes) * [exit]simplify: Simplified to (sqrt (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (sqrt (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * * * * [misc]progress: [ 20 / 71 ] 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 (* (- N) (log N)) * [exit]simplify: Simplified to (* (- N) (log N)) * * * * [misc]progress: [ 21 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 71 ] 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 (64 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N)))) * [exit]simplify: Simplified to (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log 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 (102 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (359 enodes) * [exit]simplify: Simplified to (+ (sqr (* (+ N 1) (log (+ N 1)))) (* (* (log N) N) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N)))) * [exit]simplify: Simplified to (+ (sqr (* (+ N 1) (log (+ N 1)))) (* (* (log N) N) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N)))) * * * * [misc]progress: [ 23 / 71 ] 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 (216 enodes) * * [misc]simplify: iters left: 1 (494 enodes) * [exit]simplify: Simplified to (- (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log N) N))) * [exit]simplify: Simplified to (- (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log N) 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 (46 enodes) * [exit]simplify: Simplified to (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))) * * * * [misc]progress: [ 24 / 71 ] 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 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* (log N) N))) * [exit]simplify: Simplified to (+ (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* (log N) 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 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* (log N) N))) * [exit]simplify: Simplified to (- (sqrt (* (+ N 1) (log (+ N 1)))) (sqrt (* (log N) N))) * * * * [misc]progress: [ 25 / 71 ] 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 (* N (log N))) (* (sqrt (+ N 1)) (sqrt (log (+ N 1))))) * [exit]simplify: Simplified to (+ (sqrt (* N (log N))) (* (sqrt (+ N 1)) (sqrt (log (+ N 1))))) * [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 (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * * * * [misc]progress: [ 26 / 71 ] 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 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (* N (log N))) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (* N (log N))) * * * * [misc]progress: [ 27 / 71 ] 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 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (* N (log N))) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (* N (log N))) * * * * [misc]progress: [ 28 / 71 ] 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 (* (+ N 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ N 1) (log (+ N 1))) * * * * [misc]progress: [ 29 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 71 ] 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 (log (+ N 1))) (log (+ N 1))) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * * * * [misc]progress: [ 31 / 71 ] 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 (46 enodes) * [exit]simplify: Simplified to (log (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (log (* (log (+ N 1)) (+ N 1))) * * * * [misc]progress: [ 32 / 71 ] 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 (60 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * * * * [misc]progress: [ 33 / 71 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (sqr (log (+ N 1))) (* (log (+ N 1)) (cube (+ N 1)))) * [exit]simplify: Simplified to (* (sqr (log (+ N 1))) (* (log (+ N 1)) (cube (+ N 1)))) * * * * [misc]progress: [ 34 / 71 ] 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 (39 enodes) * [exit]simplify: Simplified to (cbrt (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (cbrt (* (log (+ N 1)) (+ N 1))) * * * * [misc]progress: [ 35 / 71 ] 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 (70 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 36 / 71 ] 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 (+ N 1)) (cbrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))) * * * * [misc]progress: [ 37 / 71 ] 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 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (sqrt (* (log (+ N 1)) (+ N 1))) * * * * [misc]progress: [ 38 / 71 ] 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 (+ N 1)) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) * * * * [misc]progress: [ 39 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 71 ] 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 (* (+ N 1) (log 1)) * [exit]simplify: Simplified to (* (+ N 1) (log 1)) * [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 (* (+ N 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ N 1) (log (+ N 1))) * * * * [misc]progress: [ 41 / 71 ] 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 (* (log 1) (+ N 1)) * [exit]simplify: Simplified to (* (log 1) (+ N 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) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * [exit]simplify: Simplified to (* (log (+ N 1)) (+ N 1)) * * * * [misc]progress: [ 42 / 71 ] 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 43 / 71 ] 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 44 / 71 ] 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 (* (+ N 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ N 1) (log (+ N 1))) * * * * [misc]progress: [ 45 / 71 ] 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 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (cube N) 1)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (cube N) 1)) * * * * [misc]progress: [ 46 / 71 ] 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 (65 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (sqr N) 1)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (sqr N) 1)) * * * * [misc]progress: [ 47 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 71 ] 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: [ 50 / 71 ] 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: [ 51 / 71 ] 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: [ 52 / 71 ] 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: [ 53 / 71 ] 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: [ 54 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 71 ] 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: [ 56 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (log (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * [exit]simplify: Simplified to (log (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 59 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (* (pow N N) E)) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (* (pow N N) E)) * * * * [misc]progress: [ 60 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (cbrt (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * [exit]simplify: Simplified to (cbrt (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 61 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cube (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * [exit]simplify: Simplified to (cube (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 62 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (sqrt (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * [exit]simplify: Simplified to (sqrt (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1))) * * * * [misc]progress: [ 63 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- 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) * * * * [misc]progress: [ 64 / 71 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 3) (pow 1 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (- (cube (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * [exit]simplify: Simplified to (- (cube (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * [enter]simplify: Simplifying (+ (sqr (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) (+ (sqr 1) (* (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (+ (* (- (* (+ N 1) (log (+ N 1))) (* N (log N))) (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) (- (* (+ N 1) (log (+ N 1))) (- (* N (log N)) 1))) * [exit]simplify: Simplified to (+ (* (- (* (+ N 1) (log (+ N 1))) (* N (log N))) (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) (- (* (+ N 1) (log (+ N 1))) (- (* N (log N)) 1))) * * * * [misc]progress: [ 66 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) (sqr 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) (- (* (+ N 1) (log (+ N 1))) (- (* N (log N)) 1))) * [exit]simplify: Simplified to (* (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) (- (* (+ N 1) (log (+ N 1))) (- (* N (log N)) 1))) * [enter]simplify: Simplifying (+ (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (- (* N (log N)) 1)) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (- (* N (log N)) 1)) * * * * [misc]progress: [ 67 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * * [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 (40 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (+ (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * [exit]simplify: Simplified to (+ (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * [enter]simplify: Simplifying (- (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * * [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 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (- (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * [exit]simplify: Simplified to (- (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) 1) * * * * [misc]progress: [ 68 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* N (log N))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (* (log N) (- N)) 1) * [exit]simplify: Simplified to (- (* (log N) (- N)) 1) * * * * [misc]progress: [ 69 / 71 ] 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 (41 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * [exit]simplify: Simplified to (- (* (+ N 1) (log (+ N 1))) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 70 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 71 / 71 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* N (log N)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (* (log N) N) 1) * [exit]simplify: Simplified to (+ (* (log N) N) 1) * * * [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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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 (- (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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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 (+ (* (- -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 (+ (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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 (+ 0 (- (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 (+ 0 0) 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 (+ 0 0) 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 (+ 0 0) 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 (+ 0 0) 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 (+ 0 0) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (log N)) N) (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) into (- (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) (* (log N) 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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 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]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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 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]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 (+ (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) 0) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 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 (- (+ (* 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 (+ 0 0) 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 (+ 0 0) 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 (+ 0 0) 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 (+ 0 0) 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)) (* 0 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 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 0) (* 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 (+ (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) (* (log N) (/ 1 (/ 1 N)))) into (+ (* (log N) N) (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) * [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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (- (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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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)))) 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 (+ (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) 0) into (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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)) (* 0 (/ 0 -1)))) 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 (- 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 (- 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)) (* 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 0) (* 0 (- (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 (+ (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* (- (log -1) (log N)) (/ 1 (/ 1 (- N))))) into (- (+ (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) (* (log N) N)) (* (log -1) N)) * * * * [misc]progress: [ 2 / 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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 1 N)) * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 1 N)) * [misc]backup-simplify: Simplify (cbrt (+ 1 N)) into (cbrt (+ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ 1 N)) into (cbrt (+ 1 N)) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (cbrt (- 1 (/ 1 N))) into (cbrt (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- 1 (/ 1 N))) into (cbrt (- 1 (/ 1 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]backup-simplify: Simplify (cbrt (log (+ N 1))) into (cbrt (log (+ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ N 1))) in N * [misc]backup-simplify: Simplify (cbrt (log (+ N 1))) into (cbrt (log (+ 1 N))) * [misc]backup-simplify: Simplify (cbrt (log (+ 1 N))) into (cbrt (log (+ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (log (+ 1 N))) into (cbrt (log (+ 1 N))) * [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]backup-simplify: Simplify (cbrt (log (+ (/ 1 N) 1))) into (cbrt (log (+ (/ 1 N) 1))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 N) 1))) in N * [misc]backup-simplify: Simplify (cbrt (log (+ (/ 1 N) 1))) into (cbrt (log (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify (cbrt (log (+ (/ 1 N) 1))) into (cbrt (log (+ (/ 1 N) 1))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (log (+ (/ 1 N) 1))) into (cbrt (log (+ (/ 1 N) 1))) * [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]backup-simplify: Simplify (cbrt (log (+ (/ 1 (- N)) 1))) into (cbrt (log (- 1 (/ 1 N)))) * [misc]taylor: Taking taylor expansion of (cbrt (log (+ (/ 1 (- N)) 1))) in N * [misc]backup-simplify: Simplify (cbrt (log (+ (/ 1 (- N)) 1))) into (cbrt (log (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify (cbrt (log (- 1 (/ 1 N)))) into (cbrt (log (- 1 (/ 1 N)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (log (- 1 (/ 1 N)))) into (cbrt (log (- 1 (/ 1 N)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 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 (- (- (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) (* (log N) N)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 2 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (log N) N) (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (- 1 (* (log N) N))) * * * * [misc]progress: [ 3 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) (* (log N) N)) (* (log -1) N)) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (169 enodes) * [exit]simplify: Simplified to (+ (- (* N (- (log N) (log -1))) 1) (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) * * * * [misc]progress: [ 4 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (* (+ 1 N) (log (+ 1 N))) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 5 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (* (+ (/ 1 N) 1) (log (+ (/ 1 N) 1))) (+ 1 (* N (log N)))) * * * * [misc]progress: [ 6 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (- (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (+ 1 (* N (log N)))) * * * * [misc]progress: [ 7 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ 1 N)) (cbrt (log (+ N 1))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ 1 N)) (+ 1 (* N (log N)))) * * * * [misc]progress: [ 8 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ N 1))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (+ (/ 1 N) 1)) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 9 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (+ N 1))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (- (* (log (+ 1 N)) (- 1 (/ 1 N))) (+ (* (log N) N) 1)) * * * * [misc]progress: [ 10 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ 1 N))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (+ (* N (log N)) 1)) * * * * [misc]progress: [ 11 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ (/ 1 N) 1))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (+ (* (log (+ 1 (/ 1 N))) N) (- (log (+ 1 (/ 1 N))) (+ 1 (* (log N) N)))) * * * * [misc]progress: [ 12 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (cube (* (cbrt (+ N 1)) (cbrt (log (- 1 (/ 1 N)))))) (* N (log N))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (+ (* N (log (- 1 (/ 1 N)))) (- (log (- 1 (/ 1 N))) (+ 1 (* (log N) N)))) * * * * [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 (173 enodes) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (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 (73 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (log (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (log (- (* (+ N 1) (log (+ N 1))) (* (log N) 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 (102 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (pow N N)) * [exit]simplify: Simplified to (/ (pow (+ N 1) (+ N 1)) (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 (73 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (cbrt (- (* (+ N 1) (log (+ N 1))) (* (log N) 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 (76 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (cube (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (cube (- (* (+ N 1) (log (+ N 1))) (* (log N) 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 (73 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (sqrt (- (* (+ N 1) (log (+ N 1))) (* (log N) N))) * * * * [misc]progress: [ 20 / 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 (* (- N) (log N)) * [exit]simplify: Simplified to (* (- N) (log N)) * * * * [misc]progress: [ 21 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 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 (160 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) N))) * [exit]simplify: Simplified to (- (cube (* (log (+ N 1)) (+ N 1))) (cube (* (log N) 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 (263 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (+ (* (* (+ N 1) (log (+ N 1))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))) (* (* N (log N)) (* N (log N)))) * [exit]simplify: Simplified to (+ (* (* (+ N 1) (log (+ N 1))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))) (* (* N (log N)) (* N (log N)))) * * * * [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 (160 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N)))) * [exit]simplify: Simplified to (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log 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 (73 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) * * * * [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 (74 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (+ (sqrt (* (log (+ N 1)) (+ N 1))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (+ (sqrt (* (log (+ N 1)) (+ N 1))) (sqrt (* N (log 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 (126 enodes) * [exit]simplify: Simplified to (- (sqrt (* (log (+ N 1)) (+ N 1))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (- (sqrt (* (log (+ N 1)) (+ N 1))) (sqrt (* N (log N)))) * * * * [misc]progress: [ 25 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 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 (96 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * * * * [misc]progress: [ 28 / 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 (91 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * * * * [misc]progress: [ 29 / 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 (133 enodes) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 30 / 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 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 31 / 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * [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 (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 32 / 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 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (cube N) 1)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (cube 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 (+ (sqr N) (- 1 N)) * [exit]simplify: Simplified to (+ (sqr N) (- 1 N)) * * * * [misc]progress: [ 33 / 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 (73 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (sqr N) 1)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (sqr 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: [ 34 / 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 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (sqr (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) * [exit]simplify: Simplified to (sqr (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) * * * * [misc]progress: [ 35 / 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 (122 enodes) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 36 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 57 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 40 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * * * * [misc]progress: [ 41 / 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ N 1)) * [exit]simplify: Simplified to (cbrt (+ N 1)) * * * * [misc]progress: [ 42 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (- (cube N) 1)) * [exit]simplify: Simplified to (cbrt (- (cube N) 1)) * [enter]simplify: Simplifying (cbrt (+ (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 (cbrt (+ (sqr N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (sqr N) (- 1 N))) * * * * [misc]progress: [ 43 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (sqr N) 1)) * [exit]simplify: Simplified to (cbrt (- (sqr N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 44 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 45 / 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 46 / 57 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * * * * [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 (+ N 1)))) * [exit]simplify: Simplified to (log (cbrt (log (+ N 1)))) * * * * [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 (+ N 1)))) * [exit]simplify: Simplified to (exp (cbrt (log (+ N 1)))) * * * * [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 (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [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 (+ N 1))) * [exit]simplify: Simplified to (cbrt (log (+ N 1))) * * * * [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 (+ N 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (log (+ N 1)))) * * * * [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 (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [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 (+ N 1)))) * [exit]simplify: Simplified to (sqrt (cbrt (log (+ N 1)))) * * * * [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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [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 (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) into (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) 0) into (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) * [misc]backup-simplify: Simplify (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) into (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))) 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 (log N)) (* (log N) 0)) 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 (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))))) 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) (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 (+ 0 (- (sqr (log N)))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (- (sqr (log N))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))))) 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 0) (+ (* (log N) 0) (+ (* 0 (log N)) (* 0 0)))) 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 (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))))))) 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 0) (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 (log N)) (* 0 0))))) 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 (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))))))) 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 0) (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log N)) (* 0 0)))))) 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 (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))))))))) 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 0) (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log N)) (* 0 0))))))) 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 (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))))))))) 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 0) (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log N)) (* 0 0)))))))) 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 (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow 1 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1)) (pow 1 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2)) (pow 1 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow 1 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3)) (pow 1 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 1)) (pow 1 5))) (* -630 (/ (* 1 (pow (* 2 0) 4)) (pow 1 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow 1 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow 1 4))) (* 560 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow 1 3))) (* 420 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 1 (pow (* 24 0) 2)) (pow 1 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow 1 2))) (* -28 (/ (* 1 (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow 1 1)))) 40320) 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 0) (* 0 (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (log N)) (* 0 0))))))))) 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 (+ (* (- (sqr (log N))) (sqr N)) (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))) into (- (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (* (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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [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 (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) into (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 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 (- (+ (* 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 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) 0) into (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) * [misc]backup-simplify: Simplify (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) into (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) 0) (* 0 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))))) 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 (+ (* (* -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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))))) 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 (+ (* (* -1 (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))))))) 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 (+ (* (* -1 (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))))))) 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 (+ (* (* -1 (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 (/ 0 1)) (* 0 (/ 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 0) (* 0 (- (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow 1 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1)) (pow 1 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2)) (pow 1 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow 1 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3)) (pow 1 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 1)) (pow 1 5))) (* -630 (/ (* 1 (pow (* 2 0) 4)) (pow 1 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow 1 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow 1 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow 1 4))) (* 560 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow 1 3))) (* 420 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow 1 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow 1 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow 1 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 0) 1)) (pow 1 3))) (* -35 (/ (* 1 1 1 (pow (* 24 0) 2)) (pow 1 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow 1 2))) (* -28 (/ (* 1 (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow 1 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow 1 1)))) 40320) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 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 0) (+ (* 0 0) (* 0 (- (log N))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (log N)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (* (- (sqr (log N))) (sqr (/ 1 (/ 1 N))))) into (- (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (* (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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [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 N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N))))) into (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) into (- (* 2 (* (log N) (log -1))) (+ (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 (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 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 (+ (* (* -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 (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) 0) into (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) 0) (* 0 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (- 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 (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (- 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 (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (- 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 (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (- 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)) (* 0 (/ 0 -1)))) 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 (- 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 (- 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)) (* 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 0) (* 0 (- (log -1) (log N)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1 (- (log -1) (log N))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 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 (- 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)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -5040 (/ (* (pow (* 1 0) 8)) (pow -1 8))) (* 20160 (/ (* (pow (* 1 0) 6) (pow (* 2 0) 1)) (pow -1 7))) (* -25200 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 2)) (pow -1 6))) (* -6720 (/ (* (pow (* 1 0) 5) 1 (pow (* 6 0) 1)) (pow -1 6))) (* 10080 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 3)) (pow -1 5))) (* 13440 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 5))) (* 1680 (/ (* (pow (* 1 0) 4) 1 1 (pow (* 24 0) 1)) (pow -1 5))) (* -630 (/ (* 1 (pow (* 2 0) 4)) (pow -1 4))) (* -5040 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow -1 4))) (* -1680 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 2)) (pow -1 4))) (* -2520 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 4))) (* -336 (/ (* (pow (* 1 0) 3) 1 1 1 (pow (* 120 0) 1)) (pow -1 4))) (* 560 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 2)) (pow -1 3))) (* 420 (/ (* 1 (pow (* 2 0) 2) 1 (pow (* 24 0) 1)) (pow -1 3))) (* 560 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow -1 3))) (* 336 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow -1 3))) (* 56 (/ (* (pow (* 1 0) 2) 1 1 1 1 (pow (* 720 0) 1)) (pow -1 3))) (* -35 (/ (* 1 1 1 (pow (* 24 0) 2)) (pow -1 2))) (* -56 (/ (* 1 1 (pow (* 6 0) 1) 1 (pow (* 120 0) 1)) (pow -1 2))) (* -28 (/ (* 1 (pow (* 2 0) 1) 1 1 1 (pow (* 720 0) 1)) (pow -1 2))) (* -8 (/ (* (pow (* 1 0) 1) 1 1 1 1 1 (pow (* 5040 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 1 1 (pow (* 40320 0) 1)) (pow -1 1)))) 40320) 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 (- 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)) (* 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 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) (* (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (sqr (/ 1 (/ 1 (- N)))))) into (- (+ (* 2 (* (log N) (* (log -1) (sqr N)))) (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (sqr (log N)) (sqr N)) (* (sqr (log -1)) (sqr N)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) in N * [misc]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) into (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N)))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * * * * [misc]progress: [ 3 / 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)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) in (N) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [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 (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (* (log N) N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (log (+ N 1)) (+ 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]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 (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) into (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) 0) into (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* (log N) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 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 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log N) 1) (* 0 0)) into (log N) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 1) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (log N) 1) into (+ (log N) 1) * [misc]backup-simplify: Simplify (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) into (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) * [misc]taylor: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 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]backup-simplify: Simplify (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) into (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) * [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 (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) in N * [misc]taylor: Taking taylor expansion of (* (log N) N) in N * [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 in N * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (log (+ N 1)) (+ 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]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 (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) into (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 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 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) 0) into (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log N) * [misc]backup-simplify: Simplify (* (log N) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 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 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (log N) 1) (* 0 0)) into (log N) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 1) (* 1 1)) into 1 * [misc]backup-simplify: Simplify (+ (log N) 1) into (+ (log N) 1) * [misc]backup-simplify: Simplify (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) into (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) * [misc]backup-simplify: Simplify (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) into (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))) 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 (log N)) (* (log N) 0)) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* (log N) 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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) (+ (* 1 1) (* -1/2 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ 0 (+ (log N) 1)) (+ (* (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) (/ 1/2 (+ (log N) 1))))) into (- (* 1/2 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) into (- (* 1/2 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) * [misc]backup-simplify: Simplify (+ (* (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))) 0) (+ (* 0 0) (* 0 (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))))) 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) (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 (+ 0 (- (sqr (log N)))) into (- (sqr (log N))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log N)) 0) into (log 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 (+ (* (log N) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) 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) (+ (* 1 0) (+ (* -1/2 1) (* 1/3 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ 0 -1/6) into -1/6 * [misc]backup-simplify: Simplify (- (/ (- (sqr (log N))) (+ (log N) 1)) (+ (* (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) (/ -1/6 (+ (log N) 1))) (* (- (* 1/2 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) (/ 1/2 (+ (log N) 1))))) into (- (+ (* 1/4 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (pow (+ (log N) 1) 3))) (* 1/6 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) (/ (sqr (log N)) (+ (log N) 1))) * [misc]backup-simplify: Simplify (- (+ (* 1/4 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (pow (+ (log N) 1) 3))) (* 1/6 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) (/ (sqr (log N)) (+ (log N) 1))) into (- (+ (* 1/4 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (pow (+ (log N) 1) 3))) (* 1/6 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) (/ (sqr (log N)) (+ (log N) 1))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/4 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (pow (+ (log N) 1) 3))) (* 1/6 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) (/ (sqr (log N)) (+ (log N) 1))) N) (+ (- (* 1/2 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1))))) (* (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (+ (log N) 1)) (/ 1 N)))) into (- (+ (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (* N (+ (log N) 1))) (+ (* 1/6 (/ (* N (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))) (sqr (+ (log N) 1)))) (* 1/4 (/ (* N (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))) (pow (+ (log N) 1) 3))))) (+ (/ (* (sqr (log N)) N) (+ (log N) 1)) (* 1/2 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1)))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1)))))) (sqr (* (/ 1 N) (log (/ 1 N))))) (+ (* (log (/ 1 N)) (/ 1 N)) (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)))) 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))))) (+ (* (log (/ 1 N)) (/ 1 N)) (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)))) 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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [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 (+ (* (log (/ 1 N)) (/ 1 N)) (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (* (log (/ 1 N)) (/ 1 N)) in N * [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) 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) 1)) (+ (/ 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]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) (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 (* (- (log N)) 1) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (- (log N)) 1) 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))))) (+ (* (log (/ 1 N)) (/ 1 N)) (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)))) 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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ (/ 1 N) 1))))) into (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) * [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 (+ (* (log (/ 1 N)) (/ 1 N)) (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) in N * [misc]taylor: Taking taylor expansion of (* (log (/ 1 N)) (/ 1 N)) in N * [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) 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) 1)) (+ (/ 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]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) (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 (* (- (log N)) 1) into (* -1 (log N)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (- (log N)) 1) 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) (log N)) 0) into (- (log N)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) 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 (+ (* (- (log N)) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) 0) 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 (/ 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 (+ (* (- (log N)) 1) (* 1 1)) 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 (* (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1)))) (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) into (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 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 (- (+ (* 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 (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) 0) into (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) * [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 (- (+ (* 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 (+ (* (- (log N)) 0) (+ (* 0 0) (* 0 1))) into 0 * [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 (/ 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 (+ (* (- (log N)) 0) (+ (* 1 1) (* -1/2 1))) into 1/2 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 * [misc]backup-simplify: Simplify (- (/ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (- (* 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 (log N)) (* 1/8 (/ 1 (log N)))) (+ 1/8 (* 1/2 (/ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (log N))))) * [misc]backup-simplify: Simplify (- (+ (* 1/8 (log N)) (* 1/8 (/ 1 (log N)))) (+ 1/8 (* 1/2 (/ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (log N))))) into (- (+ (* 1/8 (log N)) (* 1/8 (/ 1 (log N)))) (+ 1/8 (* 1/2 (/ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (log N))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* 1/8 (log N)) (* 1/8 (/ 1 (log N)))) (+ 1/8 (* 1/2 (/ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (log N))))) (/ 1 N)) (+ (- 1/4 (* 1/4 (log N))) (* (* 1/2 (log N)) (/ 1 (/ 1 N))))) into (- (+ (* 1/2 (* (log N) N)) (+ (* 1/8 (/ 1 (* (log N) N))) (+ (* 1/8 (/ (log N) N)) 1/4))) (+ (* 1/8 (/ 1 N)) (+ (* 1/4 (log N)) (* 1/2 (/ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (* (log N) N)))))) * [misc]approximate: Taking taylor expansion of (/ (- (sqr (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1)))))) (sqr (* (/ 1 (- N)) (log (/ 1 (- N)))))) (+ (* (log (/ 1 (- N))) (/ 1 (- N))) (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1)))) 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)))))) (+ (* (log (/ 1 (- N))) (/ 1 (- N))) (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1)))) 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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [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 (+ (* (log (/ 1 (- N))) (/ 1 (- N))) (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (* (log (/ 1 (- N))) (/ 1 (- N))) in N * [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)) 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)) 1)) (+ (/ 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]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) (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 N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N))))) into (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) -1) 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 0) into -1 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) -1) 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 N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log N) (log -1))) (+ (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)))))) (+ (* (log (/ 1 (- N))) (/ 1 (- N))) (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1)))) 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]backup-simplify: Simplify (cube (* (cbrt (+ (/ 1 (- N)) 1)) (cbrt (log (+ (/ 1 (- N)) 1))))) into (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) * [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 (+ (* (log (/ 1 (- N))) (/ 1 (- N))) (* (log (+ (/ 1 (- N)) 1)) (+ (/ 1 (- N)) 1))) in N * [misc]taylor: Taking taylor expansion of (* (log (/ 1 (- N))) (/ 1 (- N))) in N * [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)) 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)) 1)) (+ (/ 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]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) (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 N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N))))) into (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log N)) (log -1)) into (- (log -1) (log N)) * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) -1) 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 0) into -1 * [misc]backup-simplify: Simplify (* (- (log -1) (log N)) -1) 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 N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) * [misc]backup-simplify: Simplify (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) into (/ (- (* 2 (* (log N) (log -1))) (+ (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 (+ (* (- 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 (- (+ (* -1 (/ 0 -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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 0) (* 0 -1)) into 0 * [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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- (log -1) (log N)) 1) (* -1 -1)) into (- (+ (log -1) 1) (log N)) * [misc]backup-simplify: Simplify (+ 0 (- (+ (log -1) 1) (log N))) into (- (+ (log -1) 1) (log N)) * [misc]backup-simplify: Simplify (- (/ 0 (- (* 2 (log N)) (* 2 (log -1)))) (+ (* (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ (- (+ (log -1) 1) (log N)) (- (* 2 (log N)) (* 2 (log -1))))))) into (- (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) * [misc]backup-simplify: Simplify (- (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) into (- (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) * [misc]backup-simplify: Simplify (* (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))) (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) into (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 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 (+ (* (* -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 (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) 0) into (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) * [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) 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 (+ (* (- (log -1) (log N)) 0) (+ (* 0 0) (* 0 -1))) into 0 * [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 (- 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 (+ (* (- (log -1) (log N)) 0) (+ (* -1 1) (* -1/2 -1))) into (- 1/2) * [misc]backup-simplify: Simplify (+ 0 (- 1/2)) into -1/2 * [misc]backup-simplify: Simplify (- (/ (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ -1/2 (- (* 2 (log N)) (* 2 (log -1))))) (* (- (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1)))))))) (/ (- (+ (log -1) 1) (log N)) (- (* 2 (log N)) (* 2 (log -1))))))) into (- (+ (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 4 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))) (+ (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))))) * [misc]backup-simplify: Simplify (- (+ (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 4 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))) (+ (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (sqr (log N)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (/ (pow (log -1) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))))) into (- (+ (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 4 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))) (+ (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (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)) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 6 (/ (* (log N) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 4 (/ (* (log N) (pow (log -1) 3)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 2 (/ (* (log N) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (- (* 2 (log N)) (* 2 (log -1)))) (+ (* 2 (/ (pow (log N) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (* 4 (/ (* (pow (log N) 3) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))) (+ (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (* 1/2 (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (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)) (+ (* 2 (/ (pow (log -1) 3) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))) (+ (/ (pow (log N) 4) (pow (- (* 2 (log N)) (* 2 (log -1))) 3)) (+ (* 1/2 (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (/ (sqr (log -1)) (pow (- (* 2 (log N)) (* 2 (log -1))) 3))))))))))) (/ 1 (- N))) (+ (- (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))) (* (/ (- (* 2 (* (log N) (log -1))) (+ (sqr (log -1)) (sqr (log N)))) (- (* 2 (log N)) (* 2 (log -1)))) (/ 1 (/ 1 (- N)))))) into (- (+ (/ (pow (log -1) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (* (sqr (log N)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (sqr (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (sqr (log N)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (pow (log N) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 1/2 (/ (sqr (log N)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (* (sqr (log -1)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))))))))))))) (+ (* 2 (/ (* (log N) (* (log -1) N)) (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (pow (log N) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 2 (/ (* (log N) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) (* (- (* 2 (log N)) (* 2 (log -1))) N)) (+ (* 6 (/ (* (log N) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (* (log N) (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N)) (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 4 (/ (* (pow (log N) 3) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (* 4 (/ (* (log N) (pow (log -1) 3)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)))))))))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (+ N 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 1 N)) * [misc]taylor: Taking taylor expansion of (cbrt (+ N 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ N 1)) into (cbrt (+ 1 N)) * [misc]backup-simplify: Simplify (cbrt (+ 1 N)) into (cbrt (+ 1 N)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ 1 N)) into (cbrt (+ 1 N)) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 N) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 N) 1)) into (cbrt (+ (/ 1 N) 1)) * [misc]approximate: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in (N) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 1 (/ 1 N))) * [misc]taylor: Taking taylor expansion of (cbrt (+ (/ 1 (- N)) 1)) in N * [misc]backup-simplify: Simplify (cbrt (+ (/ 1 (- N)) 1)) into (cbrt (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify (cbrt (- 1 (/ 1 N))) into (cbrt (- 1 (/ 1 N))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (- 1 (/ 1 N))) into (cbrt (- 1 (/ 1 N))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (* (sqr (log N)) (sqr N))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [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 (117 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (- (/ (- (sqr (* (+ 1 N) (log (+ 1 N)))) (sqr (* N (log N)))) (+ (* N (log N)) (* (+ 1 N) (log (+ 1 N))))) 1) * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (* (sqr (log N)) (sqr N))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (- (* (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)) (/ (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N))))) (+ 1 (/ (sqr (* (log N) N)) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))))) * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (+ (* 2 (* (log N) (* (log -1) (sqr N)))) (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N))))))) (+ (* (sqr (log N)) (sqr N)) (* (sqr (log -1)) (sqr N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (- (/ (- (sqr (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (- (* (* (log N) N) (* (log N) N)) (* (* (log -1) (sqr N)) (- (* (log N) 2) (log -1))))) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 1) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ 1 N)) (+ 1 N)) (* N (log N))) 1) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (- (* (/ (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1)) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) (* (log (+ (/ 1 N) 1)) (+ (/ 1 N) 1))) (+ (/ (sqr (* (log N) N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 1)) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (log (- 1 (/ 1 N)))) (cbrt (- 1 (/ 1 N)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (- (* (/ (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N))) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) (* (log (- 1 (/ 1 N))) (- 1 (/ 1 N)))) (+ (/ (sqr (* (log N) N)) (+ (* (log (+ 1 N)) (+ 1 N)) (* (log N) N))) 1)) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (* N (+ (log N) 1))) (+ (* 1/6 (/ (* N (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))) (sqr (+ (log N) 1)))) (* 1/4 (/ (* N (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N))))))) (pow (+ (log N) 1) 3))))) (+ (/ (* (sqr (log N)) N) (+ (log N) 1)) (* 1/2 (/ (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ 1 N)))))) (sqr (+ (log N) 1)))))) 1) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (402 enodes) * [exit]simplify: Simplified to (- (+ (* (/ (sqr (* (log (+ 1 N)) (+ 1 N))) (/ (+ 1 (log N)) N)) (+ (/ 1/4 (* (+ 1 (log N)) (+ 1 (log N)))) (/ 1/6 (+ 1 (log N))))) (/ (sqr (* (log (+ 1 N)) (+ 1 N))) (+ N (* N (log N))))) (+ (/ (* (* (log (+ 1 N)) (* 1/2 (+ 1 N))) (* (log (+ 1 N)) (+ 1 N))) (* (+ 1 (log N)) (+ 1 (log N)))) (+ (* N (/ (sqr (log N)) (+ 1 (log N)))) 1))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (* 1/2 (* (log N) N)) (+ (* 1/8 (/ 1 (* (log N) N))) (+ (* 1/8 (/ (log N) N)) 1/4))) (+ (* 1/8 (/ 1 N)) (+ (* 1/4 (log N)) (* 1/2 (/ (sqr (cube (* (cbrt (log (+ (/ 1 N) 1))) (cbrt (+ (/ 1 N) 1))))) (* (log N) N)))))) 1) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (141 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (/ 1/8 N) (log N)) (* (* N 1/2) (log N))) (+ (/ (log N) (/ N 1/8)) (- 1/4 (/ 1/8 N)))) (+ (+ (* 1/4 (log N)) 1) (/ (* (log (+ (/ 1 N) 1)) (* 1/2 (+ (/ 1 N) 1))) (/ (/ (* (log N) N) (+ (/ 1 N) 1)) (log (+ (/ 1 N) 1)))))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (+ (/ (pow (log -1) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (* (sqr (log N)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (sqr (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 1/2 (/ (sqr (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (/ (sqr (log N)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (* 2 (/ (pow (log -1) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (pow (log N) 4) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)) (+ (/ (sqr (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 6 (/ (* (sqr (log N)) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 1/2 (/ (sqr (log N)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N))) (+ (* 6 (/ (* (sqr (log N)) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 3 (/ (* (sqr (log N)) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (/ (* (sqr (log -1)) N) (- (* 2 (log N)) (* 2 (log -1)))) (+ (/ (pow (log -1) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (/ (sqr (log N)) (sqr (- (* 2 (log N)) (* 2 (log -1))))))))))))))))))) (+ (* 2 (/ (* (log N) (* (log -1) N)) (- (* 2 (log N)) (* 2 (log -1))))) (+ (* 3 (/ (* (log N) (sqr (log -1))) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 2 (/ (pow (log N) 3) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (* 2 (/ (* (log N) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (pow (log N) 3) (sqr (- (* 2 (log N)) (* 2 (log -1))))) (+ (/ (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (- 1 (/ 1 N))))))) (* (- (* 2 (log N)) (* 2 (log -1))) N)) (+ (* 6 (/ (* (log N) (sqr (log -1))) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (+ (/ (* (log N) (log -1)) (* (sqr (- (* 2 (log N)) (* 2 (log -1)))) N)) (+ (* 2 (/ (* (log N) (log -1)) (sqr (- (* 2 (log N)) (* 2 (log -1)))))) (+ (* 4 (/ (* (pow (log N) 3) (log -1)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N))) (* 4 (/ (* (log N) (pow (log -1) 3)) (* (pow (- (* 2 (log N)) (* 2 (log -1))) 3) N)))))))))))))) 1) * * [misc]simplify: iters left: 6 (108 enodes) * * [misc]simplify: iters left: 5 (285 enodes) * [exit]simplify: Simplified to (- (+ (+ (/ (/ (pow (log -1) 4) (cube (* (- (log N) (log -1)) 2))) N) (* (/ (sqr (log N)) 2) (/ N (- (log N) (log -1))))) (+ (+ (/ (/ (* (* 1/2 (log -1)) (log -1)) N) (sqr (* (- (log N) (log -1)) 2))) (* (/ (log -1) (cube (* (- (log N) (log -1)) 2))) (/ (log -1) N))) (+ (+ (+ (/ (pow (log N) 4) (* (cube (* (- (log N) (log -1)) 2)) N)) (+ (/ (/ (* (* 6 (log -1)) (sqr (log N))) N) (cube (* (- (log N) (log -1)) 2))) (/ (sqr (log -1)) (sqr (* (- (log N) (log -1)) 2))))) (+ (+ (/ (/ (* 6 (* (sqr (log N)) (sqr (log -1)))) N) (cube (* (- (log N) (log -1)) 2))) (/ (/ (* 1/2 (sqr (log N))) N) (sqr (* (- (log N) (log -1)) 2)))) (+ (+ (/ (* (* 3 (log -1)) (sqr (log N))) (sqr (* (- (log N) (log -1)) 2))) (* (/ (sqr (log -1)) 2) (/ N (- (log N) (log -1))))) (+ (/ (sqr (log N)) (sqr (* (- (log N) (log -1)) 2))) (/ (cube (log -1)) (sqr (* (- (log N) (log -1)) 2))))))) (+ (/ (/ (* 2 (cube (log -1))) N) (cube (* (- (log N) (log -1)) 2))) (* (/ (log N) N) (/ (log N) (cube (* (- (log N) (log -1)) 2)))))))) (+ (+ (+ (/ (* (* (log N) 2) (* (log -1) N)) (* (- (log N) (log -1)) 2)) (/ (* 3 (* (log N) (sqr (log -1)))) (sqr (* (- (log N) (log -1)) 2)))) (+ (+ (/ (/ (* (cube (log N)) 2) N) (cube (* (- (log N) (log -1)) 2))) (+ (/ (cube (log N)) (sqr (* (- (log N) (log -1)) 2))) (/ (/ (* (* (log N) 2) (log -1)) N) (cube (* (- (log N) (log -1)) 2))))) (+ (+ (+ (/ (/ (* (log -1) (log N)) N) (sqr (* (- (log N) (log -1)) 2))) (/ (* (* (log -1) (log N)) 2) (sqr (* (- (log N) (log -1)) 2)))) (+ (/ (/ (* (* 4 (log N)) (cube (log -1))) N) (cube (* (- (log N) (log -1)) 2))) (/ (/ (* (* 4 (log -1)) (cube (log N))) N) (cube (* (- (log N) (log -1)) 2))))) (+ (* (/ 6 (cube (* (- (log N) (log -1)) 2))) (/ (* (log N) (sqr (log -1))) N)) (* (/ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) (* (- (log N) (log -1)) 2)) (/ (* (- 1 (/ 1 N)) (log (- 1 (/ 1 N)))) N)))))) 1)) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ 1 N)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (- (- (* (log (+ 1 N)) (+ 1 N)) (* (log N) N)) 1) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (+ (/ 1 N) 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * * [misc]simplify: iters left: 1 (467 enodes) * [exit]simplify: Simplified to (- (* (/ (+ (/ (log (+ 1 N)) N) (+ (log (+ 1 N)) (* (log N) N))) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) (+ (/ (log (+ 1 N)) N) (- (log (+ 1 N)) (* (log N) N)))) 1) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (sqr (cube (* (cbrt (- 1 (/ 1 N))) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) 1) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (- (* (/ (+ (* (log (+ 1 N)) (- 1 (/ 1 N))) (* (log N) N)) (+ (* (log N) N) (* (+ 1 N) (log (+ 1 N))))) (- (* (log (+ 1 N)) (- 1 (/ 1 N))) (* (log N) N))) 1) * * * * [misc]progress: [ 13 / 74 ] 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 (341 enodes) * [exit]simplify: Simplified to (/ (pow (pow (+ N 1) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (pow N (* (sqr N) (log N)))) * [exit]simplify: Simplified to (/ (pow (pow (+ N 1) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (pow N (* (sqr N) (log N)))) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 74 ] 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 (166 enodes) * * [misc]simplify: iters left: 1 (246 enodes) * [exit]simplify: Simplified to (log (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * [exit]simplify: Simplified to (log (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * * * * [misc]progress: [ 16 / 74 ] 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 (219 enodes) * * [misc]simplify: iters left: 1 (427 enodes) * [exit]simplify: Simplified to (/ (pow (pow (+ N 1) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (pow N (* (sqr N) (log N)))) * [exit]simplify: Simplified to (/ (pow (pow (+ N 1) (+ N 1)) (* (log (+ N 1)) (+ N 1))) (pow N (* (sqr N) (log N)))) * * * * [misc]progress: [ 17 / 74 ] 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 (162 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (cbrt (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * [exit]simplify: Simplified to (cbrt (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * * * * [misc]progress: [ 18 / 74 ] 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 (57 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (cube (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * [exit]simplify: Simplified to (cube (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * * * * [misc]progress: [ 19 / 74 ] 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 (162 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (sqrt (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * [exit]simplify: Simplified to (sqrt (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N))))) * * * * [misc]progress: [ 20 / 74 ] 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 (56 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (sqr N))) * [exit]simplify: Simplified to (* (- (log N)) (* (log N) (sqr N))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 74 ] 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 (255 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (* (+ (cube (* N (log N))) (cube (* (+ N 1) (log (+ N 1))))) (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N))))) * [exit]simplify: Simplified to (* (+ (cube (* N (log N))) (cube (* (+ N 1) (log (+ N 1))))) (- (cube (* (+ N 1) (log (+ N 1)))) (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 (60 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log N) N))) (sqr (* (log N) N))) (* (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log (+ N 1)) (+ N 1))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log N) N))) (sqr (* (log N) N))) (* (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log (+ N 1)) (+ N 1))))) * * * * [misc]progress: [ 23 / 74 ] 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 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (- (* (sqr (* (+ N 1) (log (+ N 1)))) (sqr (* (+ N 1) (log (+ N 1))))) (* (sqr (* (log N) N)) (sqr (* (log N) N)))) * [exit]simplify: Simplified to (- (* (sqr (* (+ N 1) (log (+ N 1)))) (sqr (* (+ N 1) (log (+ N 1))))) (* (sqr (* (log N) N)) (sqr (* (log N) 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 (220 enodes) * [exit]simplify: Simplified to (+ (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N)))) * [exit]simplify: Simplified to (+ (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N)))) * * * * [misc]progress: [ 24 / 74 ] 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 (73 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) * [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 (101 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (* (log N) N)) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (* (log N) N)) * * * * [misc]progress: [ 25 / 74 ] 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 (160 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N)))) * [exit]simplify: Simplified to (- (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N)))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 74 ] 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 (96 enodes) * * [misc]simplify: iters left: 1 (178 enodes) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * [exit]simplify: Simplified to (+ (log (log (+ N 1))) (log (+ N 1))) * * * * [misc]progress: [ 29 / 74 ] 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 (91 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * [exit]simplify: Simplified to (pow (+ N 1) (+ N 1)) * * * * [misc]progress: [ 30 / 74 ] 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 (133 enodes) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cbrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 31 / 74 ] 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 (32 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 32 / 74 ] 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * [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 (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * * * * [misc]progress: [ 33 / 74 ] 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 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (cube N) 1)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (cube 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 (+ (sqr N) (- 1 N)) * [exit]simplify: Simplified to (+ (sqr N) (- 1 N)) * * * * [misc]progress: [ 34 / 74 ] 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 (73 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (sqr N) 1)) * [exit]simplify: Simplified to (* (log (+ 1 N)) (- (sqr 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: [ 35 / 74 ] 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 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (sqr (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) * [exit]simplify: Simplified to (sqr (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) * * * * [misc]progress: [ 36 / 74 ] 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 (122 enodes) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (sqrt (* (+ N 1) (log (+ N 1)))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (log (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (+ (- (log (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * [exit]simplify: Simplified to (+ (- (log (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (log (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [exit]simplify: Simplified to (log (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (exp (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [exit]simplify: Simplified to (exp (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (cube (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (/ (cube (* (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) (cube (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * [exit]simplify: Simplified to (/ (cube (* (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) (cube (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (cbrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [exit]simplify: Simplified to (cbrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (212 enodes) * [exit]simplify: Simplified to (cube (* (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)) * [exit]simplify: Simplified to (cube (* (- (* (+ N 1) (log (+ N 1))) (* N (log N))) 1)) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (cbrt (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* N (log N))))) (cbrt (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * [exit]simplify: Simplified to (/ (cbrt (- (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* N (log N))))) (cbrt (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [exit]simplify: Simplified to (sqrt (- (* (+ N 1) (log (+ N 1))) (* N (log N)))) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (sqrt (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* N (log N))))) (sqrt (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * [exit]simplify: Simplified to (/ (sqrt (- (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* N (log N))))) (sqrt (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * * * * [misc]progress: [ 48 / 74 ] 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 (206 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (* (+ (* (log N) (- N)) (* (- (+ N 1)) (log (+ N 1)))) (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [exit]simplify: Simplified to (* (+ (* (log N) (- N)) (* (- (+ N 1)) (log (+ N 1)))) (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) * [enter]simplify: Simplifying (- (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (+ (* (log N) (- N)) (* (log (+ 1 N)) (- (+ 1 N)))) * [exit]simplify: Simplified to (+ (* (log N) (- N)) (* (log (+ 1 N)) (- (+ 1 N)))) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (/ (sqr (* (+ N 1) (log (+ N 1)))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [exit]simplify: Simplified to (/ (sqr (* (+ N 1) (log (+ N 1)))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))) * [enter]simplify: Simplifying (/ (sqr (* N (log N))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ (sqr (* (log N) N)) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) * [exit]simplify: Simplified to (/ (sqr (* (log N) N)) (+ (* (+ N 1) (log (+ N 1))) (* (log N) N))) * * * * [misc]progress: [ 50 / 74 ] 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)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) * * * * [misc]progress: [ 51 / 74 ] 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 (104 enodes) * [exit]simplify: Simplified to (/ (+ (* (log N) N) (* (+ N 1) (log (+ N 1)))) 1) * [exit]simplify: Simplified to (/ (+ (* (log N) N) (* (+ N 1) (log (+ N 1)))) 1) * [enter]simplify: Simplifying (/ (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (- (* (log (+ N 1)) (+ N 1)) (* (log N) N)) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * [exit]simplify: Simplified to (/ (- (* (log (+ N 1)) (+ N 1)) (* (log N) N)) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * * * [misc]progress: [ 52 / 74 ] 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)))) (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) * [exit]simplify: Simplified to (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* (log N) N) (* (log (+ N 1)) (+ N 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * [exit]simplify: Simplified to (/ 1 (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) * [exit]simplify: Simplified to (/ 1 (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (- (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 (42 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (/ 1 (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 56 / 74 ] 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 (206 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (- (/ (* (log (+ N 1)) (+ N 1)) (/ (/ 1 (+ N 1)) (log (+ N 1)))) (/ (* (log N) (sqr N)) (/ 1 (log N)))) * [exit]simplify: Simplified to (- (/ (* (log (+ N 1)) (+ N 1)) (/ (/ 1 (+ N 1)) (log (+ N 1)))) (/ (* (log N) (sqr N)) (/ 1 (log N)))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (- (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 (42 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (/ 1 (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (- (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1))))) (* N (log N)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (/ (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (/ (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N)) (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (- (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 (42 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * [exit]simplify: Simplified to (/ 1 (- (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (- (pow (* (log N) N) 3) (pow (* (log (+ N 1)) (+ N 1)) 3))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (/ (* (- (* (+ N 1) (log (+ N 1))) (* N (log N))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))) (- (cube (* N (log N))) (cube (* (+ N 1) (log (+ N 1)))))) * [exit]simplify: Simplified to (/ (* (- (* (+ N 1) (log (+ N 1))) (* N (log N))) (+ (* (+ N 1) (log (+ N 1))) (* N (log N)))) (- (cube (* N (log N))) (cube (* (+ N 1) (log (+ N 1)))))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N)))) (- (sqr (* (log N) N)) (sqr (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (/ (/ (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) 1) (- (* N (log N)) (* (log (+ N 1)) (+ N 1)))) * [exit]simplify: Simplified to (/ (/ (- (* (log (+ N 1)) (+ N 1)) (* N (log N))) 1) (- (* N (log N)) (* (log (+ N 1)) (+ N 1)))) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (+ (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 (21 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * * [misc]simplify: iters left: 3 (396 enodes) * [exit]simplify: Simplified to (+ (* (sqr (* (+ 1 N) (log (+ 1 N)))) (* (sqr (* (+ 1 N) (log (+ 1 N)))) (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) (* (* (sqr (* (log N) N)) (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) (+ (sqr (* (log N) N)) (sqr (* (+ 1 N) (log (+ 1 N))))))) * [exit]simplify: Simplified to (+ (* (sqr (* (+ 1 N) (log (+ 1 N)))) (* (sqr (* (+ 1 N) (log (+ 1 N)))) (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N)))) (* (* (sqr (* (log N) N)) (+ (* (+ 1 N) (log (+ 1 N))) (* (log N) N))) (+ (sqr (* (log N) N)) (sqr (* (+ 1 N) (log (+ 1 N))))))) * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))) (+ (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 (47 enodes) * * [misc]simplify: iters left: 4 (112 enodes) * * [misc]simplify: iters left: 3 (285 enodes) * [exit]simplify: Simplified to (* (+ (* (* (log N) N) (* (log N) N)) (sqr (* (log (+ 1 N)) (+ 1 N)))) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) * [exit]simplify: Simplified to (* (+ (* (* (log N) N) (* (log N) N)) (sqr (* (log (+ 1 N)) (+ 1 N)))) (+ (* (log N) N) (* (log (+ 1 N)) (+ 1 N)))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * [exit]simplify: Simplified to (exp (cbrt (+ N 1))) * * * * [misc]progress: [ 68 / 74 ] 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 (+ N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ N 1)) * [exit]simplify: Simplified to (cbrt (+ N 1)) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow N 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (- (cube N) 1)) * [exit]simplify: Simplified to (cbrt (- (cube N) 1)) * [enter]simplify: Simplifying (cbrt (+ (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 (cbrt (+ (sqr N) (- 1 N))) * [exit]simplify: Simplified to (cbrt (+ (sqr N) (- 1 N))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr N) (sqr 1))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (cbrt (- (sqr N) 1)) * [exit]simplify: Simplified to (cbrt (- (sqr N) 1)) * [enter]simplify: Simplifying (cbrt (- N 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (cbrt (- N 1)) * [exit]simplify: Simplified to (cbrt (- N 1)) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * * * * [misc]progress: [ 72 / 74 ] 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 (+ N 1) * [exit]simplify: Simplified to (+ N 1) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # # # # # # # # # # # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 N +inf.0)) , with alts (#) * [enter]simplify: Simplifying (sqrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (sqrt (cbrt (+ N 1))) * [enter]simplify: Simplifying (sqr N) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr N) * [exit]simplify: Simplified to (sqr N) * [enter]simplify: Simplifying (- 1 N) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- 1 N) * [exit]simplify: Simplified to (- 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 (+ (* (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 (* N (log N))) (* (sqrt (+ N 1)) (sqrt (log (+ N 1))))) * [exit]simplify: Simplified to (+ (sqrt (* N (log N))) (* (sqrt (+ N 1)) (sqrt (log (+ N 1))))) * [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 (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log N)))) * [exit]simplify: Simplified to (- (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) (sqrt (* N (log 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 (log (log (+ N 1))) * * [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))) * [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 (+ N 1)) * [exit]simplify: Simplified to (log (+ N 1)) * [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 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (* (sqr (log (+ N 1))) (* (log (+ N 1)) (cube (+ N 1)))) * [exit]simplify: Simplified to (* (sqr (log (+ N 1))) (* (log (+ N 1)) (cube (+ N 1)))) * [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 (* (+ N 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ N 1) (log (+ N 1))) * [enter]simplify: Simplifying (log (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [exit]simplify: Simplified to (log (cbrt (+ N 1))) * [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 (46 enodes) * [exit]simplify: Simplified to (log (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (log (* (log (+ N 1)) (+ N 1))) * [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 (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 (70 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [exit]simplify: Simplified to (cube (* (+ N 1) (log (+ N 1)))) * [enter]simplify: Simplifying (- (log (- (sqr (cube (* (cbrt (+ N 1)) (cbrt (log (+ N 1)))))) (sqr (* N (log N))))) (log (+ (* (log N) N) (* (log (+ N 1)) (+ N 1))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (132 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * [exit]simplify: Simplified to (+ (- (log (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * [exit]simplify: Simplified to (+ (- (log (- (* (log (+ N 1)) (+ N 1)) (* N (log N)))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) (log (+ (* N (log N)) (* (log (+ N 1)) (+ N 1))))) * [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 (+ N 1)))) * [exit]simplify: Simplified to (cbrt (cbrt (log (+ N 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 (+ 1 N)) * [exit]simplify: Simplified to (log (+ 1 N)) * [enter]simplify: Simplifying (- (cube N) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (- (cube N) 1) * [exit]simplify: Simplified to (- (cube N) 1) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [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 (+ N 1)))) * [exit]simplify: Simplified to (log (cbrt (log (+ N 1)))) * [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 (39 enodes) * [exit]simplify: Simplified to (cbrt (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (cbrt (* (log (+ N 1)) (+ N 1))) * [enter]simplify: Simplifying (+ (sqr 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) (sqr N)) * [exit]simplify: Simplified to (+ (- 1 N) (sqr N)) * [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 (+ N 1)) (sqrt (log (+ N 1)))) * [exit]simplify: Simplified to (* (sqrt (+ N 1)) (sqrt (log (+ N 1)))) * [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 (* (+ N 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ N 1) (log (+ N 1))) * [enter]simplify: Simplifying (cbrt (cbrt (+ N 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [exit]simplify: Simplified to (cbrt (cbrt (+ N 1))) * [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 (255 enodes) * * [misc]simplify: iters left: 1 (395 enodes) * [exit]simplify: Simplified to (* (+ (cube (* N (log N))) (cube (* (+ N 1) (log (+ N 1))))) (- (cube (* (+ N 1) (log (+ N 1)))) (cube (* N (log N))))) * [exit]simplify: Simplified to (* (+ (cube (* N (log N))) (cube (* (+ N 1) (log (+ N 1))))) (- (cube (* (+ N 1) (log (+ N 1)))) (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 (60 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log N) N))) (sqr (* (log N) N))) (* (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log (+ N 1)) (+ N 1))))) * [exit]simplify: Simplified to (+ (* (+ (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log N) N))) (sqr (* (log N) N))) (* (sqr (* (log (+ N 1)) (+ N 1))) (sqr (* (log (+ N 1)) (+ N 1))))) * [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 (39 enodes) * [exit]simplify: Simplified to (sqrt (* (log (+ N 1)) (+ N 1))) * [exit]simplify: Simplified to (sqrt (* (log (+ N 1)) (+ N 1))) * [enter]simplify: Simplifying (- (sqr N) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (- (sqr N) 1) * [exit]simplify: Simplified to (- (sqr N) 1) * [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 (55 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (- (* (sqr (* (+ N 1) (log (+ N 1)))) (sqr (* (+ N 1) (log (+ N 1))))) (* (sqr (* (log N) N)) (sqr (* (log N) N)))) * [exit]simplify: Simplified to (- (* (sqr (* (+ N 1) (log (+ N 1)))) (sqr (* (+ N 1) (log (+ N 1))))) (* (sqr (* (log N) N)) (sqr (* (log N) 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 (220 enodes) * [exit]simplify: Simplified to (+ (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log N)))) * [exit]simplify: Simplified to (+ (sqr (* (log (+ N 1)) (+ N 1))) (* (* N (log N)) (* N (log 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 (* (+ N 1) (log (+ N 1))) * [exit]simplify: Simplified to (* (+ N 1) (log (+ N 1)))